{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7JLIVA4VDFDLYNDKDSWOBUGNS2","short_pith_number":"pith:7JLIVA4V","canonical_record":{"source":{"id":"1304.1885","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-04-06T12:20:57Z","cross_cats_sorted":["math.AG","math.AT"],"title_canon_sha256":"449c7a6e6ca50f1a9fb7936279cae6cce8650f48e6347decd9f41c895a905d7e","abstract_canon_sha256":"9b0ee67d84b8ccf8c26e1d676d1455916aca45d74885bfdb3dcf2672a2e74ed5"},"schema_version":"1.0"},"canonical_sha256":"fa568a83951946bc346a1cace0d0cd96b72bc57d8579e0d35b4566de59053e7a","source":{"kind":"arxiv","id":"1304.1885","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1885","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1885v1","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1885","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"pith_short_12","alias_value":"7JLIVA4VDFDL","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7JLIVA4VDFDLYNDK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7JLIVA4V","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7JLIVA4VDFDLYNDKDSWOBUGNS2","target":"record","payload":{"canonical_record":{"source":{"id":"1304.1885","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-04-06T12:20:57Z","cross_cats_sorted":["math.AG","math.AT"],"title_canon_sha256":"449c7a6e6ca50f1a9fb7936279cae6cce8650f48e6347decd9f41c895a905d7e","abstract_canon_sha256":"9b0ee67d84b8ccf8c26e1d676d1455916aca45d74885bfdb3dcf2672a2e74ed5"},"schema_version":"1.0"},"canonical_sha256":"fa568a83951946bc346a1cace0d0cd96b72bc57d8579e0d35b4566de59053e7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:44.875416Z","signature_b64":"moawn2qzacowZ2TzyaiuLUV+ZVi149sNYVZurQ2GXV1DqKAQ11X7IAFYWv+lv6WbVjr3CCD+FreUKXV1di6dBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa568a83951946bc346a1cace0d0cd96b72bc57d8579e0d35b4566de59053e7a","last_reissued_at":"2026-05-18T03:28:44.874640Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:44.874640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.1885","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":"2026-05-18T03:28:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GE5ZcC/uXHYVp/p65xofXaTSMoJR1FRG1VAXx+2MAhdCQIxt6KJ+WS6H0QQlegeaYZGe7Gm1FC3Y2DpodZg6AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T10:03:27.127800Z"},"content_sha256":"cf3f78b0e59c77e29372727ed738776099f61af8289321841d0aa1e2b4a92a39","schema_version":"1.0","event_id":"sha256:cf3f78b0e59c77e29372727ed738776099f61af8289321841d0aa1e2b4a92a39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7JLIVA4VDFDLYNDKDSWOBUGNS2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT"],"primary_cat":"math.GT","authors_text":"Nariya Kawazumi, Yusuke Kuno","submitted_at":"2013-04-06T12:20:57Z","abstract_excerpt":"We survey a geometric approach to the Johnson homomorphisms using the Goldman-Turaev Lie bialgebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1885","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":"2026-05-18T03:28:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WpKMca7BCZ7do1JqxbC6+KJHQN3l5V2DHIniXB3jo/7DVRMGfWhNOFySN8Ye5cH3RiG1UYxcv2u/9aVk+B2fCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T10:03:27.128225Z"},"content_sha256":"939464e70ff3bdf90c4e9aa6506e799f1c47f48ca605f88b88a4793e84f14d13","schema_version":"1.0","event_id":"sha256:939464e70ff3bdf90c4e9aa6506e799f1c47f48ca605f88b88a4793e84f14d13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JLIVA4VDFDLYNDKDSWOBUGNS2/bundle.json","state_url":"https://pith.science/pith/7JLIVA4VDFDLYNDKDSWOBUGNS2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JLIVA4VDFDLYNDKDSWOBUGNS2/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":"2026-05-22T10:03:27Z","links":{"resolver":"https://pith.science/pith/7JLIVA4VDFDLYNDKDSWOBUGNS2","bundle":"https://pith.science/pith/7JLIVA4VDFDLYNDKDSWOBUGNS2/bundle.json","state":"https://pith.science/pith/7JLIVA4VDFDLYNDKDSWOBUGNS2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JLIVA4VDFDLYNDKDSWOBUGNS2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7JLIVA4VDFDLYNDKDSWOBUGNS2","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":"9b0ee67d84b8ccf8c26e1d676d1455916aca45d74885bfdb3dcf2672a2e74ed5","cross_cats_sorted":["math.AG","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-04-06T12:20:57Z","title_canon_sha256":"449c7a6e6ca50f1a9fb7936279cae6cce8650f48e6347decd9f41c895a905d7e"},"schema_version":"1.0","source":{"id":"1304.1885","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1885","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1885v1","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1885","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"pith_short_12","alias_value":"7JLIVA4VDFDL","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7JLIVA4VDFDLYNDK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7JLIVA4V","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:939464e70ff3bdf90c4e9aa6506e799f1c47f48ca605f88b88a4793e84f14d13","target":"graph","created_at":"2026-05-18T03:28:44Z","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":"We survey a geometric approach to the Johnson homomorphisms using the Goldman-Turaev Lie bialgebra.","authors_text":"Nariya Kawazumi, Yusuke Kuno","cross_cats":["math.AG","math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-04-06T12:20:57Z","title":"The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1885","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:cf3f78b0e59c77e29372727ed738776099f61af8289321841d0aa1e2b4a92a39","target":"record","created_at":"2026-05-18T03:28:44Z","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":"9b0ee67d84b8ccf8c26e1d676d1455916aca45d74885bfdb3dcf2672a2e74ed5","cross_cats_sorted":["math.AG","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-04-06T12:20:57Z","title_canon_sha256":"449c7a6e6ca50f1a9fb7936279cae6cce8650f48e6347decd9f41c895a905d7e"},"schema_version":"1.0","source":{"id":"1304.1885","kind":"arxiv","version":1}},"canonical_sha256":"fa568a83951946bc346a1cace0d0cd96b72bc57d8579e0d35b4566de59053e7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa568a83951946bc346a1cace0d0cd96b72bc57d8579e0d35b4566de59053e7a","first_computed_at":"2026-05-18T03:28:44.874640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:44.874640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"moawn2qzacowZ2TzyaiuLUV+ZVi149sNYVZurQ2GXV1DqKAQ11X7IAFYWv+lv6WbVjr3CCD+FreUKXV1di6dBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:44.875416Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1885","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf3f78b0e59c77e29372727ed738776099f61af8289321841d0aa1e2b4a92a39","sha256:939464e70ff3bdf90c4e9aa6506e799f1c47f48ca605f88b88a4793e84f14d13"],"state_sha256":"4ef1ab80f4e152d522a529126ee25f623b1be3e84366616601bff27635e3410a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e1ZqA6UHO3U9SD0DPCM8fleNlIdlTdI7k8pirmSlx0KD1bnW/kI1CoS55slLvm8VElSCx7p9w1qIEcuY7SJsDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T10:03:27.131159Z","bundle_sha256":"982482468013a75af9bf6506650a4016b66f5157f2f517b0760c06f48ed79c0d"}}