{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:C5Y5KZPNBC4MGTRQRXTR6MQA44","short_pith_number":"pith:C5Y5KZPN","canonical_record":{"source":{"id":"math/0402057","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2004-02-04T12:42:54Z","cross_cats_sorted":[],"title_canon_sha256":"78eb8abe46b7835af255bdb0cdd5f9c36140a1a3c57acf689264ead12a5dfe6a","abstract_canon_sha256":"4a4b512c30ce14af73d4eb78f69985909dd40637a3a4f2eb9116e849e2943fa8"},"schema_version":"1.0"},"canonical_sha256":"1771d565ed08b8c34e308de71f3200e70624a4343fb0cf965f67fdde15948333","source":{"kind":"arxiv","id":"math/0402057","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0402057","created_at":"2026-07-04T14:38:12Z"},{"alias_kind":"arxiv_version","alias_value":"math/0402057v2","created_at":"2026-07-04T14:38:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0402057","created_at":"2026-07-04T14:38:12Z"},{"alias_kind":"pith_short_12","alias_value":"C5Y5KZPNBC4M","created_at":"2026-07-04T14:38:12Z"},{"alias_kind":"pith_short_16","alias_value":"C5Y5KZPNBC4MGTRQ","created_at":"2026-07-04T14:38:12Z"},{"alias_kind":"pith_short_8","alias_value":"C5Y5KZPN","created_at":"2026-07-04T14:38:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:C5Y5KZPNBC4MGTRQRXTR6MQA44","target":"record","payload":{"canonical_record":{"source":{"id":"math/0402057","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2004-02-04T12:42:54Z","cross_cats_sorted":[],"title_canon_sha256":"78eb8abe46b7835af255bdb0cdd5f9c36140a1a3c57acf689264ead12a5dfe6a","abstract_canon_sha256":"4a4b512c30ce14af73d4eb78f69985909dd40637a3a4f2eb9116e849e2943fa8"},"schema_version":"1.0"},"canonical_sha256":"1771d565ed08b8c34e308de71f3200e70624a4343fb0cf965f67fdde15948333","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:38:12.621697Z","signature_b64":"qdCh0ABonjVdfpuhN0R58zAoHsZSnpfhhKw2OLUXjdRhHLQOI2ss+/EvgqBcVaZetcq5HlvCUaIQrXhFKF2uDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1771d565ed08b8c34e308de71f3200e70624a4343fb0cf965f67fdde15948333","last_reissued_at":"2026-07-04T14:38:12.621304Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:38:12.621304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0402057","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":"2026-07-04T14:38:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nvLR7dXSGNFT7bdW+et4B2gAcZw3uSSguXvU9QpVFe2e9ukU5mDdwnG8cQlahQZuT2QJQTgVjdApbErgyDXQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T08:56:35.586611Z"},"content_sha256":"59d4ce9fb214e82b5ca9b69b074ae8dcd5cbe579e4de96558a9878ea60e8d65d","schema_version":"1.0","event_id":"sha256:59d4ce9fb214e82b5ca9b69b074ae8dcd5cbe579e4de96558a9878ea60e8d65d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:C5Y5KZPNBC4MGTRQRXTR6MQA44","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An introduction to the Batalin-Vilkovisky formalism","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Domenico Fiorenza","submitted_at":"2004-02-04T12:42:54Z","abstract_excerpt":"The aim of these notes is to introduce the quantum master equation $\\{S,S\\}-2i\\hbar\\Delta S=0$, and to show its relations to the theory of Lie algebras representations and to perturbative expansions of Gaussian integrals. The relations of the classical master equation $\\{S,S\\}=0$ with the BRST formalisms are also described. Being an introduction, only finite-dimensional examples will be considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0402057","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0402057/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:38:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fh85V8YTB19q7e54CGV6o4Ix6yqRLFLpApAvB/lU9Wa9gItUBAtf0jrz07nTMGpmVgiCTDGaNIx63ElsyD81Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T08:56:35.587606Z"},"content_sha256":"060323621dcf34ce431dee7f5c0715468b7bdfedacfff74ddf7c7ebf52914304","schema_version":"1.0","event_id":"sha256:060323621dcf34ce431dee7f5c0715468b7bdfedacfff74ddf7c7ebf52914304"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C5Y5KZPNBC4MGTRQRXTR6MQA44/bundle.json","state_url":"https://pith.science/pith/C5Y5KZPNBC4MGTRQRXTR6MQA44/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C5Y5KZPNBC4MGTRQRXTR6MQA44/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":"2026-08-17T08:56:35Z","links":{"resolver":"https://pith.science/pith/C5Y5KZPNBC4MGTRQRXTR6MQA44","bundle":"https://pith.science/pith/C5Y5KZPNBC4MGTRQRXTR6MQA44/bundle.json","state":"https://pith.science/pith/C5Y5KZPNBC4MGTRQRXTR6MQA44/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C5Y5KZPNBC4MGTRQRXTR6MQA44/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:C5Y5KZPNBC4MGTRQRXTR6MQA44","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":"4a4b512c30ce14af73d4eb78f69985909dd40637a3a4f2eb9116e849e2943fa8","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2004-02-04T12:42:54Z","title_canon_sha256":"78eb8abe46b7835af255bdb0cdd5f9c36140a1a3c57acf689264ead12a5dfe6a"},"schema_version":"1.0","source":{"id":"math/0402057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0402057","created_at":"2026-07-04T14:38:12Z"},{"alias_kind":"arxiv_version","alias_value":"math/0402057v2","created_at":"2026-07-04T14:38:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0402057","created_at":"2026-07-04T14:38:12Z"},{"alias_kind":"pith_short_12","alias_value":"C5Y5KZPNBC4M","created_at":"2026-07-04T14:38:12Z"},{"alias_kind":"pith_short_16","alias_value":"C5Y5KZPNBC4MGTRQ","created_at":"2026-07-04T14:38:12Z"},{"alias_kind":"pith_short_8","alias_value":"C5Y5KZPN","created_at":"2026-07-04T14:38:12Z"}],"graph_snapshots":[{"event_id":"sha256:060323621dcf34ce431dee7f5c0715468b7bdfedacfff74ddf7c7ebf52914304","target":"graph","created_at":"2026-07-04T14:38:12Z","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/0402057/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The aim of these notes is to introduce the quantum master equation $\\{S,S\\}-2i\\hbar\\Delta S=0$, and to show its relations to the theory of Lie algebras representations and to perturbative expansions of Gaussian integrals. The relations of the classical master equation $\\{S,S\\}=0$ with the BRST formalisms are also described. Being an introduction, only finite-dimensional examples will be considered.","authors_text":"Domenico Fiorenza","cross_cats":[],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2004-02-04T12:42:54Z","title":"An introduction to the Batalin-Vilkovisky formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0402057","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":"sha256:59d4ce9fb214e82b5ca9b69b074ae8dcd5cbe579e4de96558a9878ea60e8d65d","target":"record","created_at":"2026-07-04T14:38:12Z","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":"4a4b512c30ce14af73d4eb78f69985909dd40637a3a4f2eb9116e849e2943fa8","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2004-02-04T12:42:54Z","title_canon_sha256":"78eb8abe46b7835af255bdb0cdd5f9c36140a1a3c57acf689264ead12a5dfe6a"},"schema_version":"1.0","source":{"id":"math/0402057","kind":"arxiv","version":2}},"canonical_sha256":"1771d565ed08b8c34e308de71f3200e70624a4343fb0cf965f67fdde15948333","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1771d565ed08b8c34e308de71f3200e70624a4343fb0cf965f67fdde15948333","first_computed_at":"2026-07-04T14:38:12.621304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:38:12.621304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qdCh0ABonjVdfpuhN0R58zAoHsZSnpfhhKw2OLUXjdRhHLQOI2ss+/EvgqBcVaZetcq5HlvCUaIQrXhFKF2uDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:38:12.621697Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0402057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59d4ce9fb214e82b5ca9b69b074ae8dcd5cbe579e4de96558a9878ea60e8d65d","sha256:060323621dcf34ce431dee7f5c0715468b7bdfedacfff74ddf7c7ebf52914304"],"state_sha256":"81ae75702ed68e25258684c82c80a88d27ea104290e3feb22219c5f55a346b4d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MJiDsXQ6UOnxGikGJ9D0H+YsFRtdWpu07b6qcLqM+X/PHGGRIbraSDF0fdug28yLrXHYP9suFQQJexU52qWCAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T08:56:35.593683Z","bundle_sha256":"a533fa27d5bca5d23e4d135b761ed64702dd0f6d08ef4f53fc606b69b7506a22"}}