{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:HB7RJPSOKCLPBNBUBFU644WNSI","short_pith_number":"pith:HB7RJPSO","schema_version":"1.0","canonical_sha256":"387f14be4e5096f0b4340969ee72cd921c0e2f5c6b39315d0d6f0500db4b99d0","source":{"kind":"arxiv","id":"1812.01159","version":1},"attestation_state":"computed","paper":{"title":"Goldman-Turaev formality implies Kashiwara-Vergne","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.QA"],"primary_cat":"math.GT","authors_text":"Anton Alekseev, Florian Naef, Nariya Kawazumi, Yusuke Kuno","submitted_at":"2018-12-04T01:31:13Z","abstract_excerpt":"Let $\\Sigma$ be a compact connected oriented 2-dimensional manifold with non-empty boundary. In our previous work, we have shown that the solution of generalized (higher genus) Kashiwara-Vergne equations for an automorphism $F \\in {\\rm Aut}(L)$ of a free Lie algebra implies an isomorphism between the Goldman-Turaev Lie bialgebra $\\mathfrak{g}(\\Sigma)$ and its associated graded ${\\rm gr}\\, \\mathfrak{g}(\\Sigma)$. In this paper, we prove the converse: if $F$ induces an isomorphism $\\mathfrak{g}(\\Sigma) \\cong {\\rm gr} \\, \\mathfrak{g}(\\Sigma)$, then it satisfies the Kashiwara-Vergne equations up to"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1812.01159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-12-04T01:31:13Z","cross_cats_sorted":["math.AT","math.QA"],"title_canon_sha256":"210079ddc6c80061ff2b73f8e3afb59d03e7e787fb11e48e6ecd46c91d08e229","abstract_canon_sha256":"32e4c701f0278af8ae725e3c889ac5d4cd4fbdfc220bb54b06a540c273fdeca2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:13.206467Z","signature_b64":"Tuu9F3dncufnVv2MNvy9uU3SKiD1ogkwpStxlieEkx3dRsD1VvCYJzXwQ+zt15pfpxcIsjMO47QptXLbgBYuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"387f14be4e5096f0b4340969ee72cd921c0e2f5c6b39315d0d6f0500db4b99d0","last_reissued_at":"2026-05-17T23:59:13.205844Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:13.205844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Goldman-Turaev formality implies Kashiwara-Vergne","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.QA"],"primary_cat":"math.GT","authors_text":"Anton Alekseev, Florian Naef, Nariya Kawazumi, Yusuke Kuno","submitted_at":"2018-12-04T01:31:13Z","abstract_excerpt":"Let $\\Sigma$ be a compact connected oriented 2-dimensional manifold with non-empty boundary. In our previous work, we have shown that the solution of generalized (higher genus) Kashiwara-Vergne equations for an automorphism $F \\in {\\rm Aut}(L)$ of a free Lie algebra implies an isomorphism between the Goldman-Turaev Lie bialgebra $\\mathfrak{g}(\\Sigma)$ and its associated graded ${\\rm gr}\\, \\mathfrak{g}(\\Sigma)$. In this paper, we prove the converse: if $F$ induces an isomorphism $\\mathfrak{g}(\\Sigma) \\cong {\\rm gr} \\, \\mathfrak{g}(\\Sigma)$, then it satisfies the Kashiwara-Vergne equations up to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01159","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1812.01159","created_at":"2026-05-17T23:59:13.205927+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.01159v1","created_at":"2026-05-17T23:59:13.205927+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01159","created_at":"2026-05-17T23:59:13.205927+00:00"},{"alias_kind":"pith_short_12","alias_value":"HB7RJPSOKCLP","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"HB7RJPSOKCLPBNBU","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"HB7RJPSO","created_at":"2026-05-18T12:32:28.185984+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI","json":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI.json","graph_json":"https://pith.science/api/pith-number/HB7RJPSOKCLPBNBUBFU644WNSI/graph.json","events_json":"https://pith.science/api/pith-number/HB7RJPSOKCLPBNBUBFU644WNSI/events.json","paper":"https://pith.science/paper/HB7RJPSO"},"agent_actions":{"view_html":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI","download_json":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI.json","view_paper":"https://pith.science/paper/HB7RJPSO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.01159&json=true","fetch_graph":"https://pith.science/api/pith-number/HB7RJPSOKCLPBNBUBFU644WNSI/graph.json","fetch_events":"https://pith.science/api/pith-number/HB7RJPSOKCLPBNBUBFU644WNSI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI/action/storage_attestation","attest_author":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI/action/author_attestation","sign_citation":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI/action/citation_signature","submit_replication":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI/action/replication_record"}},"created_at":"2026-05-17T23:59:13.205927+00:00","updated_at":"2026-05-17T23:59:13.205927+00:00"}