{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WV4BYGZKZDREAUQ6HX2IWXXOXE","short_pith_number":"pith:WV4BYGZK","canonical_record":{"source":{"id":"1310.4741","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-17T15:13:18Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"928358ec4c4d903aca99a9696ad3ae1113322fcfbea10865bab3c0049a9fdae4","abstract_canon_sha256":"892e692dee99cb2d30bbd5db61afcaeee407b7b6323eb3b898d55600ea3f9c72"},"schema_version":"1.0"},"canonical_sha256":"b5781c1b2ac8e240521e3df48b5eeeb9389213c81734c08f2260378c6553e83b","source":{"kind":"arxiv","id":"1310.4741","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4741","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4741v2","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4741","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"WV4BYGZKZDRE","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WV4BYGZKZDREAUQ6","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WV4BYGZK","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WV4BYGZKZDREAUQ6HX2IWXXOXE","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4741","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-17T15:13:18Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"928358ec4c4d903aca99a9696ad3ae1113322fcfbea10865bab3c0049a9fdae4","abstract_canon_sha256":"892e692dee99cb2d30bbd5db61afcaeee407b7b6323eb3b898d55600ea3f9c72"},"schema_version":"1.0"},"canonical_sha256":"b5781c1b2ac8e240521e3df48b5eeeb9389213c81734c08f2260378c6553e83b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:52.379862Z","signature_b64":"XkPl0BxJk1hlQwxeFUijMYTDVSJ8Q3XBsaQrzrm9yVIcX2QoUcvVjP+BnxbA4ZvT9TXO6uUvacAdV5pW9nPiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5781c1b2ac8e240521e3df48b5eeeb9389213c81734c08f2260378c6553e83b","last_reissued_at":"2026-05-18T01:35:52.379195Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:52.379195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4741","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oKdg8Clw5/lGd94/vyFWA/E0yUGXDwE2Nbk3j/L/z54UiK7624sgdAfH0BkqjOw6jX8TDfpzxm07GmCxrjGVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T05:31:45.472610Z"},"content_sha256":"55839832daa50add2871ee6a42b64e85bffeea9305575511607c31e4ca8911e6","schema_version":"1.0","event_id":"sha256:55839832daa50add2871ee6a42b64e85bffeea9305575511607c31e4ca8911e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WV4BYGZKZDREAUQ6HX2IWXXOXE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.AG","authors_text":"V. V. Bavula","submitted_at":"2013-10-17T15:13:18Z","abstract_excerpt":"The group of automorphisms is found for the Lie algebra of polynomial vector fields with constant divergence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4741","kind":"arxiv","version":2},"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":"2026-05-18T01:35:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M6hSg/AmgSLUKZmh3VLSf69qE+9C+MpyjTAujObE2gbrfe9M6wnTE0IogGekN3DyfHr0JqDXkMxnUF08rH0gDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T05:31:45.472954Z"},"content_sha256":"00a07d26f68e4bed45823dfc478dccb095e28eec98551e3fea4993b9659621e3","schema_version":"1.0","event_id":"sha256:00a07d26f68e4bed45823dfc478dccb095e28eec98551e3fea4993b9659621e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WV4BYGZKZDREAUQ6HX2IWXXOXE/bundle.json","state_url":"https://pith.science/pith/WV4BYGZKZDREAUQ6HX2IWXXOXE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WV4BYGZKZDREAUQ6HX2IWXXOXE/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":"2026-06-23T05:31:45Z","links":{"resolver":"https://pith.science/pith/WV4BYGZKZDREAUQ6HX2IWXXOXE","bundle":"https://pith.science/pith/WV4BYGZKZDREAUQ6HX2IWXXOXE/bundle.json","state":"https://pith.science/pith/WV4BYGZKZDREAUQ6HX2IWXXOXE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WV4BYGZKZDREAUQ6HX2IWXXOXE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WV4BYGZKZDREAUQ6HX2IWXXOXE","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":"892e692dee99cb2d30bbd5db61afcaeee407b7b6323eb3b898d55600ea3f9c72","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-17T15:13:18Z","title_canon_sha256":"928358ec4c4d903aca99a9696ad3ae1113322fcfbea10865bab3c0049a9fdae4"},"schema_version":"1.0","source":{"id":"1310.4741","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4741","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4741v2","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4741","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"WV4BYGZKZDRE","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WV4BYGZKZDREAUQ6","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WV4BYGZK","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:00a07d26f68e4bed45823dfc478dccb095e28eec98551e3fea4993b9659621e3","target":"graph","created_at":"2026-05-18T01:35:52Z","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":"The group of automorphisms is found for the Lie algebra of polynomial vector fields with constant divergence.","authors_text":"V. V. Bavula","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-17T15:13:18Z","title":"The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4741","kind":"arxiv","version":2},"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":"sha256:55839832daa50add2871ee6a42b64e85bffeea9305575511607c31e4ca8911e6","target":"record","created_at":"2026-05-18T01:35:52Z","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":"892e692dee99cb2d30bbd5db61afcaeee407b7b6323eb3b898d55600ea3f9c72","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-17T15:13:18Z","title_canon_sha256":"928358ec4c4d903aca99a9696ad3ae1113322fcfbea10865bab3c0049a9fdae4"},"schema_version":"1.0","source":{"id":"1310.4741","kind":"arxiv","version":2}},"canonical_sha256":"b5781c1b2ac8e240521e3df48b5eeeb9389213c81734c08f2260378c6553e83b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5781c1b2ac8e240521e3df48b5eeeb9389213c81734c08f2260378c6553e83b","first_computed_at":"2026-05-18T01:35:52.379195Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:52.379195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XkPl0BxJk1hlQwxeFUijMYTDVSJ8Q3XBsaQrzrm9yVIcX2QoUcvVjP+BnxbA4ZvT9TXO6uUvacAdV5pW9nPiCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:52.379862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4741","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55839832daa50add2871ee6a42b64e85bffeea9305575511607c31e4ca8911e6","sha256:00a07d26f68e4bed45823dfc478dccb095e28eec98551e3fea4993b9659621e3"],"state_sha256":"b345673b5d3199474e7d9a499a1ce43cbff3629bfeeefea12c5a09aa7277516e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ytoNzQG4QQoctw32GJuu0lc0XvSwz12WSzcqOgQBxttZtAHoal1aJUQLEgneA+AfHfDoHy+o84gDv6dyiGdwDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T05:31:45.474924Z","bundle_sha256":"cbd5d6370f3e885ac258ae241cdef68a0bb463579eec4c9d3a9b6fa5df2ee581"}}