Curve topology explicit.
Fit still deferred.

CurvedFlowPathDescriptor {
  scopeRef, snapshotRef,
  templateRef,
  pathRef, pathOwnerRef,
  coordinateFrameRef,
  templateKind,
  traversalMode,

  pointRefs[],
  pointCount,
  turnRunRefs[],
  turnRunCount,
  inflectionCount,
  topologyClass,
  startPointRef,
  endPointRef,

  routeFitDescriptorRef: null,
  projectionAttachmentRef: null,
  orderedObjectRefs: [],
  scoreRef: null,
  metricResultRefs: [],

  status,
  mutationAllowed: false
}

CurvedFlowPathAttachment {
  flowSystemSeedRef,
  curvedFlowPathSetRef,
  status,
  mutationAllowed: false
}

{
  "module": "Compo 25.01",
  "name": "s_c_serpentine_paths",
  "version": "1.0-canonical",
  "canonical_main_title": "S/C/serpentine paths",
  "topic": "25_S_CURVE_L_STRUCTURE_AND_OTHER_ROUTES",
  "scope": "EXPLICIT_OWNER_QUALIFIED_CURVED_PATH_POINT_AND_TURN_EVIDENCE_FOR_S_C_SERPENTINE_GEOMETRY_REALIZATION_AND_TOPOLOGY_DESCRIPTORS_ONLY_WITHOUT_OBJECT_PROJECTION_COVERAGE_GAPS_ORDERING_TEMPLATE_SELECTION_OR_SCORING",
  "main_topic_contract": {
    "topic_title": "S-кривая, L-структура и другие маршруты",
    "topic_goal": "Хранит типовые маршруты S/C/L/Z и другие flow templates, чтобы сравнивать arrangement объектов с конкретной траекторией, а не оценивать движение абстрактно.",
    "expected_output": "FlowTemplate, route-fit descriptors, ordered objects",
    "planned_files": [
      "25.00 Flow-template schema",
      "25.01 S/C/serpentine paths",
      "25.02 L/Z/vertical/diagonal paths",
      "25.03 Object projection, coverage and gaps",
      "25.04 Template selection, scoring and tests"
    ]
  },
  "ownership": {
    "owner": "Compo25.01",
    "owns": [
      "CurvedFlowTurnSign taxonomy",
      "CurvedFlowPointEvidence",
      "CurvedFlowTurnEvidence",
      "CurvedFlowGeometryPolicy",
      "CurvedFlowPathDescriptor",
      "CurvedFlowPathSet",
      "CurvedFlowPathAttachment",
      "exact owner-qualified curved-path point sequence realization",
      "explicit turn-run topology validation for S_CURVE / C_CURVE / SERPENTINE",
      "inflection-count and traversal-neutral/directed geometry descriptors",
      "identity/status/provenance rules for Topic25 curved-path layer",
      "non-mutating correction request for curved-path evidence"
    ],
    "does_not_own": [
      "FlowTemplate identity/path binding/traversal declaration — Compo25.00",
      "raw path extraction from image — upstream/path owner",
      "implicit curvature-sign inference from pixels or control points",
      "L/Z/vertical/diagonal path realization — Compo25.02",
      "object projection onto route — Compo25.03",
      "coverage, gaps or ordered-object derivation — Compo25.03",
      "template selection, target profile, MetricResult or scoring — Compo25.04",
      "Topic24 diagonal-composition semantics",
      "Topic26 rhythm semantics",
      "Topic27 eye-flow / attention semantics",
      "dominance / hierarchy / beautyScore / final-layout ranking",
      "foreign geometry/style/semantic mutation"
    ]
  },
  "taxonomies": {
    "CurvedFlowTurnSign": [
      "LEFT",
      "RIGHT"
    ],
    "supportedTemplateKinds": [
      "S_CURVE",
      "C_CURVE",
      "SERPENTINE"
    ]
  },
  "topology_contract": {
    "C_CURVE": "exactly 1 explicit turn run",
    "S_CURVE": "exactly 2 explicit turn runs with opposite signs",
    "SERPENTINE": "3..64 explicit turn runs with strict sign alternation",
    "inflectionCount": "turnRunCount - 1 when status=OK",
    "turn_sign_is_explicit_evidence": true,
    "no_hidden_curvature_tolerance": true
  },
  "geometry_policy": {
    "selectionMode": "EXPLICIT_CURVED_TEMPLATES_ONLY",
    "maxTemplates": [
      1,
      256
    ],
    "maxPointsPerPath": [
      2,
      2048
    ],
    "maxTurnRunsPerPath": [
      1,
      64
    ],
    "overflow": "N_A_WITHOUT_TRUNCATION",
    "missingPointEvidence": "N_A",
    "duplicatePointIndex": "INVALID",
    "conflictingPointEvidence": "N_A_NO_WINNER",
    "missingTurnEvidence": "N_A",
    "conflictingTurnEvidence": "N_A_NO_WINNER",
    "autoPathExtraction": false,
    "autoCurvatureInference": false,
    "autoObjectProjection": false,
    "autoObjectOrdering": false,
    "autoTemplateSelection": false,
    "autoScoring": false
  },
  "descriptor_contract": {
    "pointCount": "exact explicit count",
    "turnRunCount": "exact explicit run count",
    "inflectionCount": "turnRunCount - 1",
    "startPointRef": "first path point in declared traversal representation",
    "endPointRef": "last path point in declared traversal representation",
    "topologyClass": "DECLARED_C_CURVE | DECLARED_S_CURVE | DECLARED_SERPENTINE",
    "routeFitDescriptorRef": null,
    "projectionAttachmentRef": null,
    "orderedObjectRefs": [],
    "scoreRef": null,
    "metricResultRefs": []
  },
  "status_semantics": {
    "OK": "exact 25.00 lineage + valid explicit point/turn evidence + topology contract satisfied",
    "N_A": "missing/conflicting/overflow evidence; never numeric zero",
    "INVALID": "malformed record, duplicate index, impossible topology declaration; never numeric zero"
  },
  "firewalls": [
    "curved path geometry != route fit",
    "explicit turn sign != inferred visual preference",
    "inflection count != quality",
    "DIRECTED path traversal != observed attention order",
    "UNDIRECTED path representation != bidirectional attention claim",
    "S_CURVE != automatically better than C_CURVE or SERPENTINE",
    "SERPENTINE turn count != rhythm score",
    "path point order != object order",
    "geometry realization != object projection",
    "N_A != 0",
    "INVALID != 0",
    "descriptor != score",
    "local != global"
  ],
  "root_attachment": {
    "flowSystemSeedRef": "exact 25.00 seed",
    "curvedFlowPathSetRef": "exact 25.01 set",
    "mutationAllowed": false
  },
  "visual_explanation": {
    "diagrams": [
      "C curve: one same-sign turn run",
      "S curve: two opposite-sign turn runs and one inflection",
      "serpentine: three or more alternating turn runs",
      "directed reversal changes traversal but not run count",
      "explicit points + explicit turn evidence -> descriptor pipeline",
      "invalid / unresolved evidence examples"
    ]
  },
  "ideas_data_hooks": {
    "IDEAS_REFS": [
      "perceived S/C discrimination under sparse sampling",
      "number of inflections vs route legibility",
      "directed reversal and reading culture",
      "path smoothing vs topology preservation",
      "serpentine complexity thresholds",
      "curvature continuity perception",
      "route robustness under responsive scaling"
    ],
    "DATA_CAPTURE": [
      "templateRef/path binding lineage",
      "point evidence and point index",
      "turn evidence and sign runs",
      "turnRunCount / inflectionCount",
      "topology status",
      "conflict and overflow status"
    ],
    "DEFERRED_SEMANTIC_INPUTS": [
      "route desirability",
      "object-route fit",
      "coverage target",
      "gap tolerance",
      "main template selection"
    ],
    "HUMAN_FEEDBACK_HOOKS": [
      "point correction",
      "turn sign correction",
      "topology-kind correction",
      "path-owner/frame correction"
    ],
    "CONFLICT_PRIORITY_ASSUMPTIONS": [
      "confidence does not resolve coordinate conflicts",
      "source order does not resolve turn-sign conflicts",
      "more points do not imply better path",
      "more inflections do not imply stronger flow"
    ],
    "LAB_HOOKS": [
      "curve topology recognition study",
      "sparse-vs-dense point sampling",
      "turn-sign labeling reliability",
      "serpentine inflection perception"
    ]
  },
  "metrics": {
    "owns_metrics": [],
    "independent_numeric_votes": 0
  },
  "topic25ProgressAfterThisModule": "2/5 local",
  "next_module": "Compo 25.02 — L/Z/vertical/diagonal paths",
  "hard_stop": "NO_25_02_25_04_IMPLEMENTATION_IN_THIS_FILE"
}