{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RK4CWXX2S6W6U6ZHBA3GMLV4T2","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":"d813153a7cdb41a934190ac2b10912416fed8d56e08cc5e6ec85a2babdac7dfd","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-30T15:11:07Z","title_canon_sha256":"d4752220e19b1e73a04f059bee40c2c6f5497c38463b79541e7422112f6b2972"},"schema_version":"1.0","source":{"id":"1208.6196","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.6196","created_at":"2026-05-18T03:04:38Z"},{"alias_kind":"arxiv_version","alias_value":"1208.6196v1","created_at":"2026-05-18T03:04:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.6196","created_at":"2026-05-18T03:04:38Z"},{"alias_kind":"pith_short_12","alias_value":"RK4CWXX2S6W6","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RK4CWXX2S6W6U6ZH","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RK4CWXX2","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:e99ecbb89a19a97b65b3e4295ee69ec90be1be8fbeb049992bffe02ee8148f25","target":"graph","created_at":"2026-05-18T03:04:38Z","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 Schouten bracket (or antibracket) plays a central role in the Poisson formalism and the Batalin-Vilkovisky quantization of gauge systems. There are several (in)equivalent ways to realize this concept on jet spaces. In this paper, we compare the definitions, examining in what ways they agree or disagree and how they relate to the case of usual manifolds.","authors_text":"Arthemy V. Kiselev, Sietse Ringers","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-30T15:11:07Z","title":"A comparison of definitions for the Schouten bracket on jet spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.6196","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":"sha256:9e7ff08868a31d665cad188c2756ed4cdc8a64247980cd9b534523d40325d0bd","target":"record","created_at":"2026-05-18T03:04:38Z","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":"d813153a7cdb41a934190ac2b10912416fed8d56e08cc5e6ec85a2babdac7dfd","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-30T15:11:07Z","title_canon_sha256":"d4752220e19b1e73a04f059bee40c2c6f5497c38463b79541e7422112f6b2972"},"schema_version":"1.0","source":{"id":"1208.6196","kind":"arxiv","version":1}},"canonical_sha256":"8ab82b5efa97adea7b270836662ebc9e9f2e38994eb9bfa383e78ed2a57135e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ab82b5efa97adea7b270836662ebc9e9f2e38994eb9bfa383e78ed2a57135e1","first_computed_at":"2026-05-18T03:04:38.452463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:38.452463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m3SM8w5mmeSqvNS/HAhzEwhneiOYapdTCaicD3BNcD3BATiIqQEVrTI77ABhY0f2dkoAOEr+hWOqUR7tgOCNDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:38.453278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.6196","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e7ff08868a31d665cad188c2756ed4cdc8a64247980cd9b534523d40325d0bd","sha256:e99ecbb89a19a97b65b3e4295ee69ec90be1be8fbeb049992bffe02ee8148f25"],"state_sha256":"5afc39e8704723dd701984a75edc9c7443e37c3498d7908e7f79f59f0d4c62b8"}