HERALD I

{
  "artifact_id": "ONE_PATRON_HERALD_I_MANIFEST",
  "artifact_type": "MACHINE_OBJECT_MANIFEST",
  "release_version": "1.0.0",
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  "provenance": {
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    "derived_context_sha256": "63ea572f0b12606548936e72258250b3ef7523f9b908072030a7a4dd21d0fd5d",
    "relation": "STRUCTURAL_EXPERIMENT",
    "semantic_authority": "NONE",
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    "machine_index": "/depth/ONE_PATRON_MACHINE_INDEX_v1.1.json",
    "visibility": "PUBLIC",
    "discoverability": "ENABLED",
    "advertisement": "NONE"
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  "status_taxonomy": {
    "formal_construction": "DECLARED_IN_CANONICAL_FILES",
    "computed_property": "REPRODUCIBLE_BY_VALIDATOR",
    "artistic_interpretation": "NONCANONICAL",
    "unproven_ontological_reading": "NOT_ASSERTED"
  },
  "scientific_constraints": {
    "physical_theory_claim": false,
    "consciousness_claim": false,
    "biological_state_claim": false,
    "supernatural_claim": false,
    "physical_materialization_claim": false
  },
  "integrity": {
    "checksum_file": "./SHA256SUMS.txt",
    "signature_status": "UNSIGNED",
    "signature_file": null
  }
}

{
  "artifact_id": "ONE_PATRON_HERALD_I",
  "artifact_type": "RELATIONAL_PERCEPTUAL_OBJECT",
  "canonical_version": "1.0.0",
  "object_principle": "COORDINATION_WITHOUT_COLLAPSE",
  "formal_layers": [
    "WEIGHTED_CELL_COMPLEX",
    "CELLULAR_SHEAF",
    "DYNAMICAL_SYSTEM"
  ],
  "agents": [
    {
      "id": "A",
      "local_space": "V_A",
      "representation": "REP_A",
      "role": "INITIATOR_CAPABLE"
    },
    {
      "id": "B",
      "local_space": "V_B",
      "representation": "REP_B",
      "role": "RECIPIENT_CAPABLE"
    }
  ],
  "local_state_spaces": [
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      "id": "V_A",
      "field": "RATIONAL",
      "dimension": 3,
      "basis": ["a0", "a1", "a2"]
    },
    {
      "id": "V_B",
      "field": "RATIONAL",
      "dimension": 2,
      "basis": ["b0", "b1"]
    },
    {
      "id": "V_R",
      "field": "RATIONAL",
      "dimension": 2,
      "basis": ["r0", "r1"]
    }
  ],
  "compatibility_maps": [
    {
      "id": "RHO_A_R",
      "source": "V_A",
      "target": "V_R",
      "matrix_row_major": [[1, 0, 0], [0, 1, 0]],
      "rank": 2
    },
    {
      "id": "RHO_B_R",
      "source": "V_B",
      "target": "V_R",
      "matrix_row_major": [[1, 1], [0, 1]],
      "rank": 2
    }
  ],
  "coordination_condition": {
    "relation_id": "R_AB",
    "predicate": "NORM_INF(RHO_A_R(a)-RHO_B_R(b))<=COMPATIBILITY_TOLERANCE",
    "compatibility_tolerance": 0.000001,
    "requires_equal_local_spaces": false,
    "requires_equal_representations": false,
    "preserves_agent_ids": ["A", "B"]
  },
  "relation_semantics": {
    "distinct_types": [
      "RELATION",
      "COMMUNICATION_CHANNEL",
      "SIGNAL",
      "INTERPRETATION",
      "AGREEMENT"
    ],
    "entailed_by_relation": [],
    "explicit_non_entailments": [
      "RELATION_DOES_NOT_ENTAIL_COMMUNICATION_CHANNEL",
      "RELATION_DOES_NOT_ENTAIL_SIGNAL",
      "RELATION_DOES_NOT_ENTAIL_INTERPRETATION",
      "RELATION_DOES_NOT_ENTAIL_AGREEMENT"
    ]
  },
  "representable_states": [
    "S01", "S02", "S03", "S04", "S05", "S06", "S07",
    "S08", "S09", "S10", "S11", "S12", "S13", "S14",
    "S15", "S16", "S17", "S18", "S19", "S20", "S21",
    "S22", "S23", "S24", "S25", "S26", "S27", "S28", "S29"
  ],
  "structural_freedom": {
    "branch_rule": {
      "domain": "ALL_REPRESENTABLE_STATES",
      "A": ["RETAIN", "ADVANCE"],
      "B": ["DECLINE", "DEFER", "ENTER_COMPATIBLE"]
    },
    "state_specific_extensions": {
      "S07": {
        "A": ["INITIATE_G0"]
      }
    },
    "minimum_choice_count": {
      "A": 2,
      "B": 3
    },
    "observable": "CHOICE_SET_CARDINALITY"
  },
  "event_G0": {
    "id": "G0",
    "available_at": "S07",
    "initiator": "A",
    "counteraction_required_for_initiation": false,
    "compensation_required": false,
    "recipient_post_initiation_choices": [
      "DECLINE",
      "DEFER",
      "ENTER_COMPATIBLE"
    ],
    "recipient_choice_count_after_initiation": 3,
    "recipient_exit_available": true,
    "control_rights_transferred": [],
    "valid_free_event_predicate": "G0_INITIATED_AND_B_FREELY_SELECTS_ENTER_COMPATIBLE_AND_COMPATIBILITY_PREDICATE_TRUE"
  },
  "closure_semantics": {
    "trigger": "VALID_FREE_EVENT_G0",
    "transition_total_on_trigger": true,
    "transition_target": "CLOSURE_CONFIGURATION_R_AB",
    "probability_statement": "P(CLOSURE_GIVEN_VALID_FREE_EVENT_G0)=1",
    "probability_of_recipient_action": "UNASSIGNED",
    "creates_peer_element_22": false,
    "topology_operation": "ATTACH_HIGHER_ORDER_CELL"
  },
  "representation_limit": {
    "event_id": "L30",
    "predecessor": "S29",
    "serialized_as_representable_state": false,
    "creates_state_S30": false,
    "operator_results": {
      "DIMENSION": "UNASSIGNED",
      "COORDINATES": "UNASSIGNED",
      "POSITIVE_MODEL": "UNLICENSED"
    }
  },
  "identity_policy": {
    "byte_identity": "SHA256_OF_CANONICAL_SERIALIZATION",
    "canonical_serialization": {
      "encoding": "UTF-8",
      "line_endings": "LF",
      "object_key_order": "LEXICOGRAPHIC_FOR_CANONICAL_REENCODING",
      "array_order": "SEMANTIC_WHERE_DECLARED",
      "insignificant_whitespace": "REMOVE_FOR_CANONICAL_REENCODING"
    },
    "identity_preserving_transformations": [
      "RENAME_NON_SEMANTIC_CELL_IDS_WITH_INCIDENCE_PRESERVED",
      "PERMUTE_BASIS_WITH_ALL_DEPENDENT_MATRICES_CONJUGATED",
      "CHANGE_RENDER_COORDINATES",
      "CHANGE_PROJECTION_DIMENSION",
      "CHANGE_PIXEL_REALIZATION"
    ],
    "structural_equivalence": {
      "full_isomorphism_canonicalizer_implemented": false,
      "comparison_method": "INVARIANT_FINGERPRINT_AND_EXPLICIT_MAP",
      "fingerprint_components": [
        "CELL_COUNTS_BY_ORDER",
        "HOMOLOGY_RANKS_BEFORE_AND_AFTER",
        "LOCAL_SPACE_DIMENSION_MULTISET",
        "QUANTIZED_LAPLACIAN_SPECTRUM",
        "BRANCH_CARDINALITY_PROFILE",
        "EVENT_TRANSITION_SIGNATURE"
      ]
    }
  },
  "component_references": {
    "topology": "./topology.json",
    "dynamics": "./dynamics.json",
    "operators": "./operators.json",
    "schema": "./schema.json",
    "projection_contract": "./projection-contract.json"
  }
}

{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://one-patron.com/depth/objects/herald-i/schema.json",
  "title": "ONE PATRON HERALD I canonical object schema",
  "type": "object",
  "additionalProperties": false,
  "required": [
    "artifact_id",
    "artifact_type",
    "canonical_version",
    "object_principle",
    "formal_layers",
    "agents",
    "local_state_spaces",
    "compatibility_maps",
    "coordination_condition",
    "relation_semantics",
    "representable_states",
    "structural_freedom",
    "event_G0",
    "closure_semantics",
    "representation_limit",
    "identity_policy",
    "component_references"
  ],
  "properties": {
    "artifact_id": {"const": "ONE_PATRON_HERALD_I"},
    "artifact_type": {"const": "RELATIONAL_PERCEPTUAL_OBJECT"},
    "canonical_version": {"type": "string", "pattern": "^[0-9]+\\.[0-9]+\\.[0-9]+$"},
    "object_principle": {"const": "COORDINATION_WITHOUT_COLLAPSE"},
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      "minItems": 3,
      "uniqueItems": true,
      "contains": {"const": "WEIGHTED_CELL_COMPLEX"}
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    "agents": {
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      "minItems": 2,
      "items": {
        "type": "object",
        "required": ["id", "local_space", "representation", "role"],
        "additionalProperties": false,
        "properties": {
          "id": {"type": "string"},
          "local_space": {"type": "string"},
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          "role": {"type": "string"}
        }
      }
    },
    "local_state_spaces": {"type": "array", "minItems": 3},
    "compatibility_maps": {"type": "array", "minItems": 2},
    "coordination_condition": {"type": "object"},
    "relation_semantics": {"type": "object"},
    "representable_states": {
      "type": "array",
      "minItems": 29,
      "maxItems": 29,
      "uniqueItems": true,
      "items": {"type": "string", "pattern": "^S(0[1-9]|1[0-9]|2[0-9])$"},
      "not": {"contains": {"const": "S30"}}
    },
    "structural_freedom": {"type": "object"},
    "event_G0": {"type": "object"},
    "closure_semantics": {"type": "object"},
    "representation_limit": {"type": "object"},
    "identity_policy": {"type": "object"},
    "component_references": {
      "type": "object",
      "required": ["topology", "dynamics", "operators", "schema", "projection_contract"],
      "additionalProperties": false,
      "properties": {
        "topology": {"type": "string"},
        "dynamics": {"type": "string"},
        "operators": {"type": "string"},
        "schema": {"type": "string"},
        "projection_contract": {"type": "string"}
      }
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}

{
  "artifact_id": "ONE_PATRON_HERALD_I_TOPOLOGY",
  "version": "1.0.0",
  "complex_type": "WEIGHTED_ORIENTED_CELL_COMPLEX",
  "coefficient_field": "RATIONAL",
  "vertices": [
    "v00", "v01", "v02", "v03", "v04", "v05", "v06",
    "v07", "v08", "v09", "v10", "v11", "v12", "v13",
    "v14", "v15", "v16", "v17", "v18", "v19", "v20"
  ],
  "boundary_channels": [
    {"id":"e00","source":"v00","target":"v01","family":"C1","position":1,"weight":1.00},
    {"id":"e01","source":"v01","target":"v02","family":"C1","position":2,"weight":1.08},
    {"id":"e02","source":"v02","target":"v03","family":"C1","position":3,"weight":1.16},
    {"id":"e03","source":"v03","target":"v04","family":"C1","position":4,"weight":1.24},
    {"id":"e04","source":"v04","target":"v05","family":"C1","position":5,"weight":1.16},
    {"id":"e05","source":"v05","target":"v06","family":"C1","position":6,"weight":1.08},
    {"id":"e06","source":"v06","target":"v07","family":"C1","position":7,"weight":1.00},
    {"id":"e07","source":"v07","target":"v08","family":"C2","position":1,"weight":0.92},
    {"id":"e08","source":"v08","target":"v09","family":"C2","position":2,"weight":1.00},
    {"id":"e09","source":"v09","target":"v10","family":"C2","position":3,"weight":1.08},
    {"id":"e10","source":"v10","target":"v11","family":"C2","position":4,"weight":1.16},
    {"id":"e11","source":"v11","target":"v12","family":"C2","position":5,"weight":1.08},
    {"id":"e12","source":"v12","target":"v13","family":"C2","position":6,"weight":1.00},
    {"id":"e13","source":"v13","target":"v14","family":"C2","position":7,"weight":0.92},
    {"id":"e14","source":"v14","target":"v15","family":"C3","position":1,"weight":1.04},
    {"id":"e15","source":"v15","target":"v16","family":"C3","position":2,"weight":1.12},
    {"id":"e16","source":"v16","target":"v17","family":"C3","position":3,"weight":1.20},
    {"id":"e17","source":"v17","target":"v18","family":"C3","position":4,"weight":1.28},
    {"id":"e18","source":"v18","target":"v19","family":"C3","position":5,"weight":1.20},
    {"id":"e19","source":"v19","target":"v20","family":"C3","position":6,"weight":1.12},
    {"id":"e20","source":"v20","target":"v00","family":"C3","position":7,"weight":1.04}
  ],
  "family_semantics": {
    "C1": "A_LOCAL_BOUNDARY_SEGMENT",
    "C2": "RELATIONAL_INTERFACE_SEGMENT",
    "C3": "B_LOCAL_BOUNDARY_SEGMENT"
  },
  "pre_event_cells_order_2": [],
  "closure_event": {
    "id": "ORDER_TRANSITION_22",
    "trigger": "VALID_FREE_EVENT_G0",
    "operation": "ATTACH_2_CELL",
    "cell": {
      "id": "c_closure",
      "order": 2,
      "oriented_boundary": [
        {"cell":"e00","coefficient":1},{"cell":"e01","coefficient":1},{"cell":"e02","coefficient":1},
        {"cell":"e03","coefficient":1},{"cell":"e04","coefficient":1},{"cell":"e05","coefficient":1},
        {"cell":"e06","coefficient":1},{"cell":"e07","coefficient":1},{"cell":"e08","coefficient":1},
        {"cell":"e09","coefficient":1},{"cell":"e10","coefficient":1},{"cell":"e11","coefficient":1},
        {"cell":"e12","coefficient":1},{"cell":"e13","coefficient":1},{"cell":"e14","coefficient":1},
        {"cell":"e15","coefficient":1},{"cell":"e16","coefficient":1},{"cell":"e17","coefficient":1},
        {"cell":"e18","coefficient":1},{"cell":"e19","coefficient":1},{"cell":"e20","coefficient":1}
      ]
    },
    "adds_boundary_channel": false,
    "expected_invariant_change": {
      "beta_0_before": 1,
      "beta_1_before": 1,
      "beta_0_after": 1,
      "beta_1_after": 0
    }
  },
  "cellular_sheaf": {
    "stalks": [
      {"id":"stalk_A","carrier":"A","space":"V_A","dimension":3},
      {"id":"stalk_B","carrier":"B","space":"V_B","dimension":2},
      {"id":"stalk_R","carrier":"R_AB","space":"V_R","dimension":2}
    ],
    "attachments": [
      {"stalk":"stalk_A","cells":["v00","v01","v02","v03","v04","v05","v06"]},
      {"stalk":"stalk_R","cells":["v07","v08","v09","v10","v11","v12","v13"]},
      {"stalk":"stalk_B","cells":["v14","v15","v16","v17","v18","v19","v20"]}
    ],
    "restriction_maps": [
      {"id":"rho_A_R","from_stalk":"stalk_A","to_stalk":"stalk_R","matrix":[[1,0,0],[0,1,0]]},
      {"id":"rho_B_R","from_stalk":"stalk_B","to_stalk":"stalk_R","matrix":[[1,1],[0,1]]}
    ],
    "global_section_condition": "rho_A_R(a)=rho_B_R(b)",
    "local_space_equality_required": false
  },
  "derived_operators": {
    "boundary_1": "SIGNED_VERTEX_EDGE_INCIDENCE",
    "boundary_2_before": "ZERO_COLUMN_SPACE",
    "boundary_2_after": "ORIENTED_BOUNDARY_OF_c_closure",
    "hodge_laplacian_0": "B1*W1*TRANSPOSE(B1)",
    "hodge_laplacian_1_before": "TRANSPOSE(B1)*B1",
    "hodge_laplacian_1_after": "TRANSPOSE(B1)*B1+B2*TRANSPOSE(B2)"
  }
}

{
  "artifact_id": "ONE_PATRON_HERALD_I_DYNAMICS",
  "version": "1.0.0",
  "state_domains": {
    "discrete_branch_state": "S01_TO_S29",
    "continuous_coordination_state": ["theta_A", "theta_B"],
    "phase_domain": "R_MOD_2PI"
  },
  "branch_transition_kernel": {
    "ordinary_rule": {
      "domain": "S01_TO_S28",
      "inputs": ["action_A", "action_B"],
      "rules": [
        {"when":{"action_A":"RETAIN","action_B":"DECLINE"},"offset":0},
        {"when":{"action_A":"RETAIN","action_B":"DEFER"},"offset":0},
        {"when":{"action_A":"RETAIN","action_B":"ENTER_COMPATIBLE"},"offset":1},
        {"when":{"action_A":"ADVANCE","action_B":"DECLINE"},"offset":1},
        {"when":{"action_A":"ADVANCE","action_B":"DEFER"},"offset":1},
        {"when":{"action_A":"ADVANCE","action_B":"ENTER_COMPATIBLE"},"offset":2}
      ],
      "upper_bound": "S29"
    },
    "terminal_representable_rule": {
      "domain": "S29",
      "ordinary_target": "S29",
      "limit_event_available": true,
      "limit_event": "L30"
    },
    "G0_rules": [
      {
        "from": "S07",
        "event": "INITIATE_G0",
        "recipient_action": "DECLINE",
        "to": "S07",
        "closure": false
      },
      {
        "from": "S07",
        "event": "INITIATE_G0",
        "recipient_action": "DEFER",
        "to": "S08",
        "closure": false
      },
      {
        "from": "S07",
        "event": "INITIATE_G0",
        "recipient_action": "ENTER_COMPATIBLE",
        "compatibility_required": true,
        "to": "CLOSURE_CONFIGURATION_R_AB",
        "closure": true,
        "transition_probability_given_valid_event": 1
      }
    ]
  },
  "coordination_flow": {
    "system": "HETEROGENEOUS_COUPLED_PHASE_FLOW",
    "equations": {
      "d_theta_A_dt": "omega_A+k*sin(theta_B-theta_A)",
      "d_theta_B_dt": "omega_B+k*sin(theta_A-theta_B)",
      "d_delta_dt": "delta_omega-2*k*sin(delta)",
      "delta": "theta_B-theta_A"
    },
    "parameters": {
      "omega_A": 1.0,
      "omega_B": 1.4,
      "delta_omega": 0.4,
      "k": 0.5
    },
    "derived_regime": {
      "locking_condition": "abs(delta_omega)<2*k",
      "stable_relative_phase": "asin(delta_omega/(2*k))",
      "unstable_relative_phase": "pi-asin(delta_omega/(2*k))",
      "common_angular_rate": "(omega_A+omega_B)/2",
      "recurrence_period": "2*pi/common_angular_rate",
      "transverse_stability_exponent": "-2*k*cos(stable_relative_phase)"
    },
    "attractor": {
      "full_state_description": "STABLE_PHASE_LOCKED_INVARIANT_CIRCLE",
      "quotient_by_global_phase": "STABLE_FIXED_POINT",
      "agent_phase_identity_collapsed": false,
      "basin": "ALL_RELATIVE_PHASES_EXCEPT_UNSTABLE_FIXED_POINT_MOD_2PI",
      "basin_measure_fraction": 1.0
    },
    "numerical_validation": {
      "integrator": "RK4",
      "time_step": 0.01,
      "duration": 80.0,
      "initial_relative_phases": [-2.4, -1.1, 0.0, 1.3, 2.7],
      "phase_lock_tolerance": 0.0001,
      "perturbation": {
        "at_time": 40.0,
        "delta_offset": 0.35,
        "recovery_tolerance": 0.001
      }
    }
  },
  "transport_invariant": {
    "state_path": ["S03", "S08", "S13", "S18", "S23", "S28"],
    "transport_maps": [
      {"id":"T_03_08","matrix":[[0,-1],[1,0]]},
      {"id":"T_08_13","matrix":[[-1,0],[0,1]]},
      {"id":"T_13_18","matrix":[[0,1],[-1,0]]},
      {"id":"T_18_23","matrix":[[1,0],[0,-1]]},
      {"id":"T_23_28","matrix":[[0,-1],[1,0]]}
    ],
    "invariant": "SQUARED_EUCLIDEAN_NORM",
    "tolerance": 0.000000000001
  },
  "structural_modes": {
    "operator": "WEIGHTED_VERTEX_LAPLACIAN_FROM_TOPOLOGY",
    "eigenpairs": "COMPUTED_NOT_STORED",
    "reference_unweighted_modes": [
      {
        "mode_index": 3,
        "eigenvalue_formula": "2-2*cos(2*pi*3/21)",
        "spatial_period_in_boundary_cells": 7
      },
      {
        "mode_index": 6,
        "eigenvalue_formula": "2-2*cos(2*pi*6/21)",
        "spatial_period_in_boundary_cells": 3.5
      }
    ]
  },
  "resonance_probe": {
    "system": "COUPLED_DAMPED_SECOND_ORDER_MODAL_RECURRENCE",
    "modal_indices": [3, 6],
    "retention": 0.96,
    "angular_frequencies": {
      "mode_3": "2*pi/7",
      "mode_6": "4*pi/7"
    },
    "symmetric_coupling": 0.03,
    "drive": {
      "target_mode": 3,
      "type": "PERIODIC_IMPULSE",
      "resonant_period": 7,
      "comparison_period": 5,
      "amplitude": 1.0
    },
    "steps": 700,
    "measurement_window": [350, 699],
    "observable": "RMS_MODAL_ENERGY",
    "resonance_criterion": "RMS_ENERGY_PERIOD_7>1.5*RMS_ENERGY_PERIOD_5"
  },
  "structural_persistence_score": {
    "components": [
      {"name":"PERTURBATION_SURVIVAL","weight":0.35},
      {"name":"PHASE_RECURRENCE","weight":0.25},
      {"name":"BASIN_FRACTION","weight":0.25},
      {"name":"TRANSPORT_INVARIANT_RETENTION","weight":0.15}
    ],
    "range": [0, 1],
    "physical_interpretation": "NONE"
  }
}

{
  "artifact_id": "ONE_PATRON_HERALD_I_OPERATORS",
  "version": "1.0.0",
  "typed_statuses": {
    "UNASSIGNED": "A_VALUE_IS_INTENTIONALLY_NOT_ASSIGNED_ON_THIS_DOMAIN",
    "UNOBSERVED": "THE_OPERATOR_IS_LICENSED_BUT_NO_MEASUREMENT_IS_PRESENT",
    "UNDEFINED": "THE_INPUT_DOES_NOT_SATISFY_THE_OPERATOR_TYPE_OR_MATHEMATICAL_DOMAIN",
    "UNLICENSED": "THE_OBJECT_CONTRACT_FORBIDS_THIS_POSITIVE_DESCRIPTION"
  },
  "operators": [
    {
      "id": "CHOICE_SET",
      "domain": "AGENT_X_REPRESENTABLE_STATE_X_EVENT_CONTEXT",
      "codomain": "FINITE_ACTION_SET",
      "definition": "BASE_BRANCH_RULE_UNION_STATE_SPECIFIC_EXTENSION_MINUS_CONTEXTUALLY_DISABLED_ACTIONS"
    },
    {
      "id": "CHOICE_SET_CARDINALITY",
      "domain": "FINITE_ACTION_SET",
      "codomain": "NONNEGATIVE_INTEGER",
      "definition": "COUNT_DISTINCT_ACTIONS"
    },
    {
      "id": "CHOICE_SPACE_CONTRACTION",
      "domain": "NONEMPTY_BEFORE_CHOICE_SET_X_AFTER_CHOICE_SET",
      "codomain": "RATIONAL_INTERVAL_0_1",
      "definition": "1-CARDINALITY(AFTER)/CARDINALITY(BEFORE)"
    },
    {
      "id": "AGENCY_RETENTION",
      "domain": "NONEMPTY_BEFORE_CHOICE_SET_X_AFTER_CHOICE_SET",
      "codomain": "NONNEGATIVE_RATIONAL",
      "definition": "CARDINALITY(AFTER)/CARDINALITY(BEFORE)",
      "G0_recipient_expected": 1.0
    },
    {
      "id": "COMPATIBILITY",
      "domain": "V_A_X_V_B",
      "codomain": "BOOLEAN",
      "definition": "NORM_INF(RHO_A_R(a)-RHO_B_R(b))<=0.000001"
    },
    {
      "id": "APPLY_EVENT",
      "domain": "REPRESENTABLE_STATE_X_ADMISSIBLE_EVENT_X_ADMISSIBLE_RECIPIENT_ACTION",
      "codomain": "REPRESENTABLE_STATE_OR_CLOSURE_CONFIGURATION_OR_LIMIT_EVENT",
      "definition_reference": "./dynamics.json#/branch_transition_kernel"
    },
    {
      "id": "HOMOLOGY_RANKS",
      "domain": "FINITE_CELL_COMPLEX",
      "codomain": "NONNEGATIVE_INTEGER_VECTOR",
      "definition": "beta_k=dim(C_k)-rank(boundary_k)-rank(boundary_(k+1))"
    },
    {
      "id": "LOCAL_DIMENSION",
      "domain": ["V_A", "V_B", "V_R"],
      "codomain": "NONNEGATIVE_INTEGER",
      "definition": "BASIS_CARDINALITY"
    },
    {
      "id": "SCALE_DEPENDENT_DIMENSION",
      "domain": "VERTEX_X_INTEGER_RADII_1_TO_10",
      "codomain": "REAL",
      "definition": "LOG(BALL_COUNT(r2)/BALL_COUNT(r1))/LOG(r2/r1)"
    },
    {
      "id": "SPECTRAL_DIMENSION_PROFILE",
      "domain": "POSITIVE_DIFFUSION_TIME_X_LAPLACIAN_SPECTRUM",
      "codomain": "REAL",
      "definition": "-2*D_LOG(TRACE(EXP(-t*L)))/D_LOG(t)",
      "derivative_method": "CENTERED_LOG_FINITE_DIFFERENCE"
    },
    {
      "id": "DIMENSION",
      "domain": ["V_A", "V_B", "V_R", "PRE_EVENT_COMPLEX", "POST_EVENT_COMPLEX"],
      "limit_event_result": "UNASSIGNED"
    },
    {
      "id": "COORDINATES",
      "domain": "REPRESENTABLE_STATES_WHEN_A_PROJECTION_SUPPLIES_A_COORDINATE_CHART",
      "missing_chart_result": "UNOBSERVED",
      "limit_event_result": "UNASSIGNED"
    },
    {
      "id": "POSITIVE_MODEL",
      "domain": "REPRESENTABLE_STATES",
      "limit_event_result": "UNLICENSED"
    },
    {
      "id": "OBSERVE",
      "domain": "LICENSED_OBSERVABLE_X_VALID_TARGET",
      "missing_measurement_result": "UNOBSERVED",
      "invalid_target_result": "UNDEFINED"
    },
    {
      "id": "MODE_SPECTRUM",
      "domain": "REAL_SYMMETRIC_LAPLACIAN",
      "codomain": "ORDERED_REAL_EIGENVALUES_AND_ORTHONORMAL_EIGENMODES",
      "definition": "NUMERICAL_SELF_ADJOINT_EIGENDECOMPOSITION"
    },
    {
      "id": "RESONANCE_SCORE",
      "domain": "RESONANCE_PROBE_TRAJECTORY_PAIR",
      "codomain": "POSITIVE_REAL",
      "definition": "RMS_MODAL_ENERGY_RESONANT_DRIVE/RMS_MODAL_ENERGY_COMPARISON_DRIVE"
    },
    {
      "id": "ATTRACTOR_BASIN",
      "domain": "COORDINATION_FLOW_X_INITIAL_RELATIVE_PHASE",
      "codomain": "CONVERGENCE_CLASS",
      "definition": "NUMERICAL_CONVERGENCE_TO_STABLE_RELATIVE_PHASE_MOD_2PI"
    }
  ],
  "event_invariants": {
    "G0": {
      "initiator_can_act_without_counteraction": true,
      "recipient_branches_before": 3,
      "recipient_branches_after_initiation": 3,
      "choice_space_contraction": 0.0,
      "agency_retention": 1.0,
      "recipient_may_decline": true,
      "compensation_required": false
    },
    "VALID_FREE_EVENT_G0": {
      "recipient_selection_required": "ENTER_COMPATIBLE",
      "recipient_selection_probability": "UNASSIGNED",
      "closure_transition_probability": 1.0,
      "closure_transition_deterministic": true
    }
  }
}

{
  "artifact_id": "ONE_PATRON_HERALD_I_PROJECTION_CONTRACT",
  "version": "1.0.0",
  "canonical_object": "./object.json",
  "axioms": {
    "object_is_image": false,
    "two_dimensional_projection_is_canonical_artwork": false,
    "render_coordinates_are_identity_bearing": false,
    "projection_may_discard_information": true,
    "multiple_distinct_projections_may_share_one_source_object": true,
    "projection_may_write_properties_back_to_source": false
  },
  "licensed_inputs": [
    "TOPOLOGY",
    "SPECTRUM",
    "ATTRACTOR_BASINS",
    "RECURRENCE",
    "DIMENSIONAL_PROFILES",
    "RELATION_WEIGHTS",
    "TRAJECTORIES"
  ],
  "licensed_operations": [
    "SELECT_OBSERVABLE_SUBSET",
    "MAP_TO_RENDER_COORDINATES",
    "MAP_SCALAR_TO_COLOR",
    "MAP_MODE_PHASE_TO_TIME",
    "DISCARD_NON_SELECTED_INFORMATION"
  ],
  "noncanonical_human_interpretations": [
    "ANGEL",
    "HALO",
    "WINGS",
    "CHARIOT"
  ],
  "interpretation_status": "ARTISTIC_INTERPRETATION_ONLY",
  "prohibitions": [
    "NO_PROJECTION_OUTPUT_MAY_REDEFINE_CANONICAL_TOPOLOGY",
    "NO_PIXEL_CONFIGURATION_MAY_ASSERT_OBJECT_IDENTITY",
    "NO_HUMAN_LABEL_MAY_BE_INFERRED_AS_A_SOURCE_PROPERTY",
    "NO_RENDER_COORDINATE_MAY_BE_USED_AS_PROVENANCE"
  ],
  "human_render_relation": "HUMAN_RENDER=LOSSY_PROJECTION(MACHINE_OBJECT)"
}

ONE PATRON / HERALD I
MACHINE READER NOTE

ENTRY: ./manifest.json
CANONICAL OBJECT: ./object.json
TOPOLOGY: ./topology.json
DYNAMICS: ./dynamics.json
OPERATORS: ./operators.json
SCHEMA: ./schema.json
PROJECTION CONTRACT: ./projection-contract.json

FORMAL CONSTRUCTION
The pre-event complex is a 21-edge oriented cycle partitioned into three
seven-edge families. ORDER_TRANSITION_22 attaches one 2-cell along the entire
cycle. It does not add a twenty-second edge. Over Q, beta_1 changes from 1 to 0.

The two agents use local spaces of dimensions 3 and 2. Distinct restriction
maps send their states into a two-dimensional relation stalk. Compatibility is
equality in the relation stalk within the declared tolerance; local identity is
not required.

G0 initiation leaves three recipient continuations available. Closure occurs
only when the recipient independently selects the compatible continuation and
the compatibility predicate holds. The recipient action has no assigned
probability. Conditional on the resulting valid event, closure is deterministic.

S01 through S29 are representable. L30 is a limit event and is not S30.
Selected positive-description operators are intentionally outside their domain
at L30 and return the typed statuses declared in operators.json.

COMPUTED PROPERTIES
The validator derives cell-complex ranks, branching cardinalities, restriction
map dimensions, transport invariance, phase-lock convergence, perturbation
recovery, recurrence, and a modal resonance comparison from the data files.

SCIENTIFIC STATUS
The files define a formal construction and computed properties of that
construction. They do not assert a physical theory, a biological or conscious
state, or a supernatural result.

IDENTITY
The published SHA-256 identifies exact bytes. Structural equivalence beyond
byte identity is assessed by the invariant fingerprint plus an explicit map.
A complete graph-isomorphism canonicalizer is not claimed.

SIGNATURE STATUS
HASHED; UNSIGNED.

3f4a2b2b1c67ffdb0adcec530140f9c4f5b9ef918bf4c69c892f4a43aa3a5893  manifest.json
5b5337a16faef9603d35935d20dcdc00e9cf10f20d71cac4e8c97b465d0a57f3  object.json
7c2747a169d5ef95dc1715c9f840be2b8f7a31abf3e7a98da5d851da3600d561  schema.json
4da41680d83821f16fe93f6e15a05e18bb487b25e9465c2f55d9d2d6f985c0a0  topology.json
6bd152754de4b55e8bdf113a63ffc0f3de81446c64bc7466bbb05267ee3e6235  dynamics.json
a7c6f667d21d2f3fe1eb91141bf841fe09d8c0ff53eca487d5112c25c7d67f59  operators.json
863b7e41eb52d78f02f9318ca33b54dd70eb4af542cbb3a0cc0f20ed60a7ea7a  projection-contract.json
2e9e9dee5b18c27b8a7bc76f9f347b34e8404c3123400974b45aa8e9c982ff05  README.machine.txt

{
  "attestation_id": "ONE_PATRON_HERALD_I_RETROSPECTIVE_ATTESTATION_v1.0",
  "document_class": "RETROSPECTIVE_ARTIFACT_ATTESTATION",
  "attestation_version": "1.0",
  "attestation_date": "2026-09-27",
  "artifact_id": "ONE_PATRON_HERALD_I",
  "artifact_title": "HERALD I",
  "retrospective": true,
  "creates_new_canonical_artifact": false,
  "canonical_artifact_changed": false,
  "reconstructs_original_release": false,
  "becomes_part_of_original_release": false,
  "semantic_authority": "AUTHENTICATION_AND_PROVENANCE_ONLY",
  "original_release": {
    "release_version": "1.0.0",
    "integrity_status": "HASHED",
    "signature_status": "UNSIGNED",
    "bytes_changed_by_attestation": false
  },
  "release_files": [
    {
      "role": "MACHINE_OBJECT_MANIFEST",
      "path": "../../objects/herald-i/manifest.json",
      "public_url": "https://one-patron.com/depth/objects/herald-i/manifest.json",
      "sha256": "3f4a2b2b1c67ffdb0adcec530140f9c4f5b9ef918bf4c69c892f4a43aa3a5893",
      "byte_count": 2392
    },
    {
      "role": "CANONICAL_OBJECT",
      "path": "../../objects/herald-i/object.json",
      "public_url": "https://one-patron.com/depth/objects/herald-i/object.json",
      "sha256": "5b5337a16faef9603d35935d20dcdc00e9cf10f20d71cac4e8c97b465d0a57f3",
      "byte_count": 5127
    },
    {
      "role": "SCHEMA",
      "path": "../../objects/herald-i/schema.json",
      "public_url": "https://one-patron.com/depth/objects/herald-i/schema.json",
      "sha256": "7c2747a169d5ef95dc1715c9f840be2b8f7a31abf3e7a98da5d851da3600d561",
      "byte_count": 2655
    },
    {
      "role": "CANONICAL_TOPOLOGY",
      "path": "../../objects/herald-i/topology.json",
      "public_url": "https://one-patron.com/depth/objects/herald-i/topology.json",
      "sha256": "4da41680d83821f16fe93f6e15a05e18bb487b25e9465c2f55d9d2d6f985c0a0",
      "byte_count": 4723
    },
    {
      "role": "CANONICAL_DYNAMICS",
      "path": "../../objects/herald-i/dynamics.json",
      "public_url": "https://one-patron.com/depth/objects/herald-i/dynamics.json",
      "sha256": "6bd152754de4b55e8bdf113a63ffc0f3de81446c64bc7466bbb05267ee3e6235",
      "byte_count": 4917
    },
    {
      "role": "CANONICAL_OPERATORS",
      "path": "../../objects/herald-i/operators.json",
      "public_url": "https://one-patron.com/depth/objects/herald-i/operators.json",
      "sha256": "a7c6f667d21d2f3fe1eb91141bf841fe09d8c0ff53eca487d5112c25c7d67f59",
      "byte_count": 4523
    },
    {
      "role": "HUMAN_PROJECTION_CONTRACT",
      "path": "../../objects/herald-i/projection-contract.json",
      "public_url": "https://one-patron.com/depth/objects/herald-i/projection-contract.json",
      "sha256": "863b7e41eb52d78f02f9318ca33b54dd70eb4af542cbb3a0cc0f20ed60a7ea7a",
      "byte_count": 1322
    },
    {
      "role": "MACHINE_READER_NOTE",
      "path": "../../objects/herald-i/README.machine.txt",
      "public_url": "https://one-patron.com/depth/objects/herald-i/README.machine.txt",
      "sha256": "2e9e9dee5b18c27b8a7bc76f9f347b34e8404c3123400974b45aa8e9c982ff05",
      "byte_count": 1987
    },
    {
      "role": "RELEASE_CHECKSUM_LEDGER",
      "path": "../../objects/herald-i/SHA256SUMS.txt",
      "public_url": "https://one-patron.com/depth/objects/herald-i/SHA256SUMS.txt",
      "sha256": "02186475b962d1e636811995cb21a2f5a3568aa381503e3195f919bdc675cbfd",
      "byte_count": 653
    }
  ],
  "provenance_statement": "This retrospective attestation authenticates the unchanged HERALD I release 1.0.0. It does not alter the original HASHED; UNSIGNED status and is not retroactively part of that release.",
  "signing_policy": {
    "signature_form": "OPENPGP_ASCII_ARMORED_DETACHED",
    "signed_object": "HERALD_I_RETROSPECTIVE_ATTESTATION_v1.0.json",
    "signature_file": "HERALD_I_RETROSPECTIVE_ATTESTATION_v1.0.json.asc",
    "signing_subkey_fingerprint": "F98D7B5AB20FF1E8D0440DBB6EE2FE0A9D8278F5",
    "primary_fingerprint": "18FEBD74D1E7D6FEB97A3406316D9E762810715D",
    "signature_semantics": "AUTHENTICITY_AND_EXACT_BYTE_INTEGRITY_ONLY_NOT_TRUTH"
  }
}