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Two fine labels are absent while referenced in 48 parent positions; their 32 decoded coarse shadow routes add zero canonical relations or endpoints, but the historic raw fine inclusions and outgoing edges remain inconclusive."},"canonical_coarse_row_count":2256412,"canonical_coarse_relation_node_count":850764,"linked_genus1_annotation_count":1172,"production_visible_table_rows":16835992,"fine_refinement_rows":14579580,"audited_quartic_chain_projection_rows":6984871,"canonical_genus_one_target_rows":43739,"canonical_parent_entries":15540236,"direct_degree_3":{"record_count":37146,"relation":"direct recorded maximal-parent position of projective ratio 3","canonical_record_stream_sha256":"1b472d0110bff58413baa6bcee863efffeb42e3b8d180d4144c6afd4aeaa9e26"},"direct_degree_4":{"record_count":24507,"relation":"direct recorded maximal-parent position of projective ratio 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5^2+1=26","irreducible_fibre_claim":false},"field_density":{"status":"not_verified","note":"The complete integral-spread ledger and theorem-applicability certificate are not yet available."}},"evidence_ids":["D5-SQL-20260818T100140Z","D5-GRAPH-20260818T095432Z","D5-GROUP-VERIFY-20260818-CK1-O2-V1","D5-SOURCE-AUDIT-20260818T102220Z","D5-TARGET-ID-40-96-1-O-2-20260818-IV1","D5-LOCAL-RANK-20260818T095822Z","D5-RANK-40-96-1-O-2-20260818-V2","D5-THEOREM-ADDENDUM-20260818T100903Z","D5-SOURCE-AUDIT-ADDENDUM-20260818T103533Z","D5-G7-FULL-CONJUNCTION-20260818-IV1","D5-REFEREE-20260818-CK1-O2-V2","D5-POINTED-TARGET-MODEL-20260824-V1","P5-D5-POINTED-MODEL-IV-20260824","P5-D5-POINTED-MODEL-REFEREE-20260824","P5-THEOREM-ADDENDUM-20260824","D5-POINTED-TARGET-MODEL-20260824-V1","P5-D5-POINTED-MODEL-IV-20260824","P5-D5-POINTED-MODEL-REFEREE-20260824"],"caveats":["This proof record consumes the immutable version-3 successor candidate; earlier versions remain historical provenance and are not silently mutated.","The pointed-model formulas have finite base loci as coordinate triples; the certified claim is the function-field birational isomorphism and its unique extension on smooth projective curves.","The integral-spread and excluded-prime ledger is incomplete, so this record is not theorem-ready."]}],"ui_projection":{"status":"compact_lazy_detail_v2","record_count":8661,"full_archive_url":"releases/2026-08-24/normalized/endpoints.json.gz","full_inventory_archive_url":"downloads/inventory-full.json.gz","detail_ref_shape":{"url":"string","id":"cover_id"},"provenance_roles":{"strict_view_snapshot_id":"lmfdb-parent-graph-2026-08-18","lineage_snapshot_id":"lmfdb-canonical-coarse-parent-graph-2026-08-24","row_summary_fields":["evidence_id","lineage_keys"]},"verification_summary":"Per-state counts over the ten Stage-4 fields; the full named gate object is in the detail 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