{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:SULDKUXFXM33UFAAI5DNKHWSBG","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":"fe687c28fb237ca2cb29ed869d816c68eedf686678e5e82669431b1a9f5d8b14","cross_cats_sorted":["math.DG"],"license":"","primary_cat":"math.QA","submitted_at":"2006-12-20T07:29:09Z","title_canon_sha256":"590345b6973e25ba98f1da04fa2205699172efb19e28de0638ef75aa55eb2da4"},"schema_version":"1.0","source":{"id":"math/0612579","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0612579","created_at":"2026-07-04T14:58:29Z"},{"alias_kind":"arxiv_version","alias_value":"math/0612579v3","created_at":"2026-07-04T14:58:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0612579","created_at":"2026-07-04T14:58:29Z"},{"alias_kind":"pith_short_12","alias_value":"SULDKUXFXM33","created_at":"2026-07-04T14:58:29Z"},{"alias_kind":"pith_short_16","alias_value":"SULDKUXFXM33UFAA","created_at":"2026-07-04T14:58:29Z"},{"alias_kind":"pith_short_8","alias_value":"SULDKUXF","created_at":"2026-07-04T14:58:29Z"}],"graph_snapshots":[{"event_id":"sha256:e68fbf0eb0451b364542d0258bcdba929debbcd318f6aac96b441a12c9694e2d","target":"graph","created_at":"2026-07-04T14:58:29Z","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/math/0612579/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define the notion of characteristic classes for supermanifolds endowed with a homological vector field $Q$. These take values in the cohomology of the Lie derivative operator $L_Q$ acting on arbitrary tensor fields. We formulate a classification theorem for intrinsic characteristic classes and give their explicit description.","authors_text":"A.A. Sharapov, E.A. Mosman, S.L. Lyakhovich","cross_cats":["math.DG"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2006-12-20T07:29:09Z","title":"On characteristic classes of Q-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0612579","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":"sha256:4359c205c5d719de62440c7b7c7239e60183c5c67997b185d7eb14c0e7b29085","target":"record","created_at":"2026-07-04T14:58:29Z","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":"fe687c28fb237ca2cb29ed869d816c68eedf686678e5e82669431b1a9f5d8b14","cross_cats_sorted":["math.DG"],"license":"","primary_cat":"math.QA","submitted_at":"2006-12-20T07:29:09Z","title_canon_sha256":"590345b6973e25ba98f1da04fa2205699172efb19e28de0638ef75aa55eb2da4"},"schema_version":"1.0","source":{"id":"math/0612579","kind":"arxiv","version":3}},"canonical_sha256":"95163552e5bb37ba14004746d51ed209b1871d9d5933cfeef6f9bb4086bba026","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95163552e5bb37ba14004746d51ed209b1871d9d5933cfeef6f9bb4086bba026","first_computed_at":"2026-07-04T14:58:29.709378Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:58:29.709378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DkTTN9jpzLJ/p3RyO3CtD0j1hPlgcWQJZLQ2pQlMHoJOrlBkTfQP9fI7BWGziKRAFGZw7Dg2RWUgkSSSIAArCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:58:29.709726Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0612579","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4359c205c5d719de62440c7b7c7239e60183c5c67997b185d7eb14c0e7b29085","sha256:e68fbf0eb0451b364542d0258bcdba929debbcd318f6aac96b441a12c9694e2d"],"state_sha256":"5387cfcbfda2a4e75453846dc72f647b534f4d211580d51b33af3b2ac529dcdf"}