{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HB7RJPSOKCLPBNBUBFU644WNSI","short_pith_number":"pith:HB7RJPSO","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"},"canonical_sha256":"387f14be4e5096f0b4340969ee72cd921c0e2f5c6b39315d0d6f0500db4b99d0","source":{"kind":"arxiv","id":"1812.01159","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01159","created_at":"2026-05-17T23:59:13Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01159v1","created_at":"2026-05-17T23:59:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01159","created_at":"2026-05-17T23:59:13Z"},{"alias_kind":"pith_short_12","alias_value":"HB7RJPSOKCLP","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HB7RJPSOKCLPBNBU","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HB7RJPSO","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HB7RJPSOKCLPBNBUBFU644WNSI","target":"record","payload":{"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"},"canonical_sha256":"387f14be4e5096f0b4340969ee72cd921c0e2f5c6b39315d0d6f0500db4b99d0","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"},"source_kind":"arxiv","source_id":"1812.01159","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BVuHQzSokLkkUktQQthYic4bCTOPUz8wmwa9d3ftTkvT8astaEM+/atWVvwrbfB1vIEuqqoUz/LspJeQcYaUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T04:31:23.116001Z"},"content_sha256":"7ef6f004a95b7bdb57fbd027df0ed8b5690e01ded4963e30d82137d7593ec460","schema_version":"1.0","event_id":"sha256:7ef6f004a95b7bdb57fbd027df0ed8b5690e01ded4963e30d82137d7593ec460"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HB7RJPSOKCLPBNBUBFU644WNSI","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M9oq8fL/t4/cHziUTDoeAkFA1jDvVObVvQusdkiOS82eNoB3pEGYS3yRUuavhpS6QFV+JoOb64a5oL4NwrYDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T04:31:23.116688Z"},"content_sha256":"0b63918e347d5a00b9527eaefb3f411376aedb0603fb9fc64229a0d485e42e35","schema_version":"1.0","event_id":"sha256:0b63918e347d5a00b9527eaefb3f411376aedb0603fb9fc64229a0d485e42e35"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI/bundle.json","state_url":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HB7RJPSOKCLPBNBUBFU644WNSI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-22T04:31:23Z","links":{"resolver":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI","bundle":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI/bundle.json","state":"https://pith.science/pith/HB7RJPSOKCLPBNBUBFU644WNSI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HB7RJPSOKCLPBNBUBFU644WNSI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HB7RJPSOKCLPBNBUBFU644WNSI","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":"32e4c701f0278af8ae725e3c889ac5d4cd4fbdfc220bb54b06a540c273fdeca2","cross_cats_sorted":["math.AT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-12-04T01:31:13Z","title_canon_sha256":"210079ddc6c80061ff2b73f8e3afb59d03e7e787fb11e48e6ecd46c91d08e229"},"schema_version":"1.0","source":{"id":"1812.01159","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01159","created_at":"2026-05-17T23:59:13Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01159v1","created_at":"2026-05-17T23:59:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01159","created_at":"2026-05-17T23:59:13Z"},{"alias_kind":"pith_short_12","alias_value":"HB7RJPSOKCLP","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HB7RJPSOKCLPBNBU","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HB7RJPSO","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:0b63918e347d5a00b9527eaefb3f411376aedb0603fb9fc64229a0d485e42e35","target":"graph","created_at":"2026-05-17T23:59:13Z","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"},"paper":{"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","authors_text":"Anton Alekseev, Florian Naef, Nariya Kawazumi, Yusuke Kuno","cross_cats":["math.AT","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-12-04T01:31:13Z","title":"Goldman-Turaev formality implies Kashiwara-Vergne"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01159","kind":"arxiv","version":1},"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":"sha256:7ef6f004a95b7bdb57fbd027df0ed8b5690e01ded4963e30d82137d7593ec460","target":"record","created_at":"2026-05-17T23:59:13Z","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":"32e4c701f0278af8ae725e3c889ac5d4cd4fbdfc220bb54b06a540c273fdeca2","cross_cats_sorted":["math.AT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-12-04T01:31:13Z","title_canon_sha256":"210079ddc6c80061ff2b73f8e3afb59d03e7e787fb11e48e6ecd46c91d08e229"},"schema_version":"1.0","source":{"id":"1812.01159","kind":"arxiv","version":1}},"canonical_sha256":"387f14be4e5096f0b4340969ee72cd921c0e2f5c6b39315d0d6f0500db4b99d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"387f14be4e5096f0b4340969ee72cd921c0e2f5c6b39315d0d6f0500db4b99d0","first_computed_at":"2026-05-17T23:59:13.205844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:13.205844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tuu9F3dncufnVv2MNvy9uU3SKiD1ogkwpStxlieEkx3dRsD1VvCYJzXwQ+zt15pfpxcIsjMO47QptXLbgBYuDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:13.206467Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.01159","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ef6f004a95b7bdb57fbd027df0ed8b5690e01ded4963e30d82137d7593ec460","sha256:0b63918e347d5a00b9527eaefb3f411376aedb0603fb9fc64229a0d485e42e35"],"state_sha256":"e28e6a1762619ff9584ae5c613236b035b412760b7f42059f6127a5fc19740d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3obGTl3hxh3oX5ZfsyRWqm1pOOv06bHhSk6vfa5AFsC1k8WClig1WXVLIG2s+thrKOh07VVvYazcK8pU21clDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T04:31:23.120419Z","bundle_sha256":"4771095bef28fd6961f7abb79060763911d7182e562f18de6ee1e755fddf1fc6"}}