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projection: semantic_tear", "object_id": "rrc_logogram_semantic_tear", "payload_bytes_sampled": 1225, "payload_sha256": "cd2775907a884dc41591df4ea500e48acfbc6571e592013f13067e4ae44a2998", "source_path": "4-Infrastructure/shim/math_logogram_surface_receipt.json" }, "pipeline": [ "object", "manifold_projection", "nearest_lawful_shape", "type_witness", "field_equation", "invariant_receipt" ], "type_witness": { "conservative_synthesis": false, "lean_boundary": "declared_not_proved", "missing_or_weak_axes": [], "object_id": "rrc_logogram_semantic_tear", "required_axes": [ "projection_declared", "witness_declared", "scale_band_declared" ], "shape": "LogogramProjection", "status": "CANDIDATE", "witness_hash": "f61afd4258fd77944a86a605667ea3d96eafbd3efcc4890427ef9eae441f8769" } }, { "field_equation": "logogram_cell -> canonical_hash -> glyph_payload -> projection_lane; admit iff cell hash, payload bound, substitution receipt, and regime guard close", "invariant_receipt": { "object_id": 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"projection_declared", "decoder_declared", "witness_declared", "scale_band_declared" ], "coordinates": { "compression_pressure": 0.333333, "decoder_declared": 0.8, "field_energy": 0.142857, "geometric_mass": 0.142857, "hardware_affinity": 0.0, "history_depth": 0.0, "negative_control_strength": 0.0, "projection_declared": 1.0, "proof_readiness": 0.525, "receipt_density": 0.444444, "residual_risk": 0.32, "scale_band_declared": 0.8, "semantic_entropy": 0.489583, "shape_closure": 0.86, "topology_torsion": 0.0, "witness_declared": 0.8 } }, "nearest_lawful_shape": { "alternates": [ { "distance": 0.3601666610935372, "kind_prior_bonus": 0.0, "raw_distance": 0.3601666610935372, "shape": "SignalShapedRouteCompiler" }, { "distance": 0.4142244904941904, "kind_prior_bonus": 0.0, "raw_distance": 0.4142244904941904, "shape": "ProjectableGeometryTopology" }, { "distance": 0.4389315399685239, "kind_prior_bonus": 0.0, "raw_distance": 0.4389315399685239, "shape": "CognitiveLoadField" } ], "declared_kind": "logogram_projection", "distance": 0.140888, "kind_prior_shape": "LogogramProjection", "shape": "LogogramProjection" }, "object": { "kind": "logogram_projection", "label": "Logogram projection: mhchem_surface", "object_id": "rrc_logogram_mhchem_surface", "payload_bytes_sampled": 1263, "payload_sha256": "eccbb31c2bcc0101c5c74c06f1994a73d30b021e53610947f9c23bb13aefa753", "source_path": "4-Infrastructure/shim/math_logogram_surface_receipt.json" }, "pipeline": [ "object", "manifold_projection", "nearest_lawful_shape", "type_witness", "field_equation", "invariant_receipt" ], "type_witness": { "conservative_synthesis": false, "lean_boundary": "declared_not_proved", "missing_or_weak_axes": [], "object_id": "rrc_logogram_mhchem_surface", "required_axes": [ "projection_declared", "witness_declared", "scale_band_declared" ], "shape": "LogogramProjection", "status": "CANDIDATE", "witness_hash": "812380d8f84b874dded026a6ce41c9264850239e33de75aff00e84dbbefc9e39" } } ], "counts": { "candidate_count": 5, "hold_count": 0, "merge_admissible_count": 4, "projection_admissible_count": 5, "repaired_tear_count": 1, "sample_count": 5 }, "failure_rules": [ "A logogram projection is not a proof of the source equation.", "A payload over 16 bytes is HOLD for this Surface-1 bridge.", "A horrible_manifold_tearing regime may enter quarantine projection only with a residual/contradiction witness.", "A repaired tear is never merge-admissible without a separate proof receipt.", "A missing RRC witness or weak projection axis is HOLD." ], "next_steps": [ "Add a declared residual lane for logograms that need more than 16 payload bytes.", "Map admissible logograms into the E1/E2 route classifier as symbolic-feature tokens.", "Create a Lean RRCShape.LogogramProjection witness gate.", "Use semantic regime HOLDs to prevent unsafe tokenbook merges." ], "primary_read": "Logograms become RRC projection objects by binding canonical cell hashes, bounded glyph payloads, substitution receipts, and semantic regimes to a LogogramProjection type witness.", "projection_equation": "P_logogram(source) = (canonical_hash, cell_hash, glyph_payload_16, semantic_regime, substitution_receipt, rrc_type_witness)", "receipt_hash": "83f44e8341788f6cbb2013704af2622f95f140b5a98402d69cd4ddde5ea88826", "schema": "rrc_logogram_projection_bridge_v1", "source_artifacts": [ { "bytes": 19934, "path": "4-Infrastructure/shim/math_logogram_surface_receipt.json", "sha256": "447a3dcb7837a99ebf5335ae043d8fcf43a24867c4b9ebfd8cfff5a6a8f11b87" }, { "bytes": 10925, "path": "4-Infrastructure/shim/math_logogram_surface_builder.py", "sha256": "20c21f1130b70419da29f14ddd12b62c00ea5cf0b4116e1dbeefb7665d1511d6" }, { "bytes": 21916, "path": "4-Infrastructure/shim/rainbow_raccoon_compiler.py", "sha256": "97de58442fa02de25aa084d144188b2199a074d80394e78c37e3b976e1ccb6ca" }, { "bytes": 26421, "path": "4-Infrastructure/shim/rainbow_raccoon_compiler_receipt.json", "sha256": 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