{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NTRTTV7SV4TEDE332323BF74VT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"271d29a7a3964cbaf7de72906e582ad84d73f1600eeeb7330dc42e20e0139e2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2025-09-25T10:27:21Z","title_canon_sha256":"89bd8640d1452fbb5e6fb2b1312430001e6b93a34453176296d893ec85bd6f94"},"schema_version":"1.0","source":{"id":"2509.20983","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.20983","created_at":"2026-06-09T02:08:33Z"},{"alias_kind":"arxiv_version","alias_value":"2509.20983v3","created_at":"2026-06-09T02:08:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.20983","created_at":"2026-06-09T02:08:33Z"},{"alias_kind":"pith_short_12","alias_value":"NTRTTV7SV4TE","created_at":"2026-06-09T02:08:33Z"},{"alias_kind":"pith_short_16","alias_value":"NTRTTV7SV4TEDE33","created_at":"2026-06-09T02:08:33Z"},{"alias_kind":"pith_short_8","alias_value":"NTRTTV7S","created_at":"2026-06-09T02:08:33Z"}],"graph_snapshots":[{"event_id":"sha256:ebd71f5e6b24dfd9d6c9bd9936da9c9ab1beded66285d3041ab01c11cb8aa9dc","target":"graph","created_at":"2026-06-09T02:08:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2509.20983/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a new solution to the formality problem for the framed Goldman--Turaev Lie bialgebra, constructing Goldman-Turaev homomorphic expansions (formality isomorphisms) from the Kontsevich integral. Our proof uses a three dimensional derivation of the Goldman-Turaev Lie biaglebra arising from a low-degree Vassiliev quotient -- the {\\em emergent} quotient -- of tangles in a thickened punctured disk, modulo a Conway skein relation. This is in contrast to Massuyeau's 2018 proof using braids. A feature of our approach is a general conceptual framework which is applied to prove the compatibilit","authors_text":"Dror Bar-Natan, Jessica Liu, Nancy Scherich, Tamara Hogan, Zsuzsanna Dancso","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2025-09-25T10:27:21Z","title":"Goldman-Turaev formality from the Kontsevitch integral"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.20983","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6ef4808625044c7f74da90c91ff9290d6c2989897f254a30019e3b77d437e393","target":"record","created_at":"2026-06-09T02:08:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"271d29a7a3964cbaf7de72906e582ad84d73f1600eeeb7330dc42e20e0139e2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2025-09-25T10:27:21Z","title_canon_sha256":"89bd8640d1452fbb5e6fb2b1312430001e6b93a34453176296d893ec85bd6f94"},"schema_version":"1.0","source":{"id":"2509.20983","kind":"arxiv","version":3}},"canonical_sha256":"6ce339d7f2af2641937bd6f5b097fcacee777b40e389ae2081f9a640370d68f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ce339d7f2af2641937bd6f5b097fcacee777b40e389ae2081f9a640370d68f5","first_computed_at":"2026-06-09T02:08:33.498861Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:08:33.498861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VFLE78xcnWfixmNxDQxfgo47WbSZ9TP8+/vzjpkEYOBCYNse690Cat8XgTRWXmNUCz3zQMar5N88+iQQFCNkBg==","signature_status":"signed_v1","signed_at":"2026-06-09T02:08:33.499915Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.20983","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ef4808625044c7f74da90c91ff9290d6c2989897f254a30019e3b77d437e393","sha256:ebd71f5e6b24dfd9d6c9bd9936da9c9ab1beded66285d3041ab01c11cb8aa9dc"],"state_sha256":"511363f269b94a7f311553b364c6fa5f7fc8c0a6c9d58cdf744b6bfa6521ecda"}