{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1992:IUNVNSXIJFCRIWHNZH5JHO54VS","short_pith_number":"pith:IUNVNSXI","schema_version":"1.0","canonical_sha256":"451b56cae849451458edc9fa93bbbcac9b0172322e2f0b74bc6c184e21192a9b","source":{"kind":"arxiv","id":"hep-th/9212072","version":2},"attestation_state":"computed","paper":{"title":"On Some Algebraic Structures Arising in String Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Albert Schwarz, Michael Penkava","submitted_at":"1992-12-11T06:40:15Z","abstract_excerpt":"Lian and Zuckerman proved that the homology of a topological chiral algebra can be equipped with the structure of a BV-algebra; \\ie one can introduce a multiplication, an odd bracket, and an odd operator $\\Delta$ having the same properties as the corresponding operations in Batalin-Vilkovisky quantization procedure. We give a simple proof of their results and discuss a generalization of these results to the non chiral case. To simplify our proofs we use the following theorem giving a characterization of a BV-algebra in terms of multiplication and an operator $\\Delta$: {\\em If $A$ is a supercom"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/9212072","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-12-11T06:40:15Z","cross_cats_sorted":[],"title_canon_sha256":"4a24fc6c2792c892cfc8b3b2b8356022c9d4b3a918b16124b598069b31e3d2b7","abstract_canon_sha256":"7846a56989684ce61d9a9dbdf7f480fe4730010cb10a07dc971d984f65ca85ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:07:33.550013Z","signature_b64":"pyDxaCEcYKzm7I7aTCaxtGaYV35pwRxxC4PrItagUX09z8LrWA/hQwa1O7eyCy24hsrV5o2mTzcLR0/4a8AZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"451b56cae849451458edc9fa93bbbcac9b0172322e2f0b74bc6c184e21192a9b","last_reissued_at":"2026-07-04T15:07:33.549508Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:07:33.549508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Some Algebraic Structures Arising in String Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Albert Schwarz, Michael Penkava","submitted_at":"1992-12-11T06:40:15Z","abstract_excerpt":"Lian and Zuckerman proved that the homology of a topological chiral algebra can be equipped with the structure of a BV-algebra; \\ie one can introduce a multiplication, an odd bracket, and an odd operator $\\Delta$ having the same properties as the corresponding operations in Batalin-Vilkovisky quantization procedure. We give a simple proof of their results and discuss a generalization of these results to the non chiral case. To simplify our proofs we use the following theorem giving a characterization of a BV-algebra in terms of multiplication and an operator $\\Delta$: {\\em If $A$ is a supercom"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9212072","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/hep-th/9212072/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9212072","created_at":"2026-07-04T15:07:33.549587+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9212072v2","created_at":"2026-07-04T15:07:33.549587+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9212072","created_at":"2026-07-04T15:07:33.549587+00:00"},{"alias_kind":"pith_short_12","alias_value":"IUNVNSXIJFCR","created_at":"2026-07-04T15:07:33.549587+00:00"},{"alias_kind":"pith_short_16","alias_value":"IUNVNSXIJFCRIWHN","created_at":"2026-07-04T15:07:33.549587+00:00"},{"alias_kind":"pith_short_8","alias_value":"IUNVNSXI","created_at":"2026-07-04T15:07:33.549587+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.07975","citing_title":"Quartic BV structures in supercategories and modified necklace Lie bialgebras","ref_index":22,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IUNVNSXIJFCRIWHNZH5JHO54VS","json":"https://pith.science/pith/IUNVNSXIJFCRIWHNZH5JHO54VS.json","graph_json":"https://pith.science/api/pith-number/IUNVNSXIJFCRIWHNZH5JHO54VS/graph.json","events_json":"https://pith.science/api/pith-number/IUNVNSXIJFCRIWHNZH5JHO54VS/events.json","paper":"https://pith.science/paper/IUNVNSXI"},"agent_actions":{"view_html":"https://pith.science/pith/IUNVNSXIJFCRIWHNZH5JHO54VS","download_json":"https://pith.science/pith/IUNVNSXIJFCRIWHNZH5JHO54VS.json","view_paper":"https://pith.science/paper/IUNVNSXI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9212072&json=true","fetch_graph":"https://pith.science/api/pith-number/IUNVNSXIJFCRIWHNZH5JHO54VS/graph.json","fetch_events":"https://pith.science/api/pith-number/IUNVNSXIJFCRIWHNZH5JHO54VS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IUNVNSXIJFCRIWHNZH5JHO54VS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IUNVNSXIJFCRIWHNZH5JHO54VS/action/storage_attestation","attest_author":"https://pith.science/pith/IUNVNSXIJFCRIWHNZH5JHO54VS/action/author_attestation","sign_citation":"https://pith.science/pith/IUNVNSXIJFCRIWHNZH5JHO54VS/action/citation_signature","submit_replication":"https://pith.science/pith/IUNVNSXIJFCRIWHNZH5JHO54VS/action/replication_record"}},"created_at":"2026-07-04T15:07:33.549587+00:00","updated_at":"2026-07-04T15:07:33.549587+00:00"}