{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LWQU25XMMTWELMZJZ3TJ26QM4C","short_pith_number":"pith:LWQU25XM","schema_version":"1.0","canonical_sha256":"5da14d76ec64ec45b329cee69d7a0ce088d9a39c2cc0cf074f828d78bd7db254","source":{"kind":"arxiv","id":"1309.3219","version":3},"attestation_state":"computed","paper":{"title":"Unimodular homotopy algebras and Chern-Simons theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.AG","math.AT"],"primary_cat":"math.QA","authors_text":"Andrey Lazarev, Christopher Braun","submitted_at":"2013-09-12T17:09:40Z","abstract_excerpt":"Quantum Chern-Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L-infinity) algebra g, the vector space H^*(M) \\otimes g has the structure of an L-infinity algebra whose homotopy type is a homotopy invariant of M. We formulate necessary and sufficient conditions for this L-infinity algebra to have a quantum lift. We also obtain structural results on unimodular L-infinity algebras and introduce a doubling construction which links unimodular and cyclic L-infinity algebras."},"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":"1309.3219","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-09-12T17:09:40Z","cross_cats_sorted":["hep-th","math.AG","math.AT"],"title_canon_sha256":"77cce3e71f97530e33051af32f33db22f15fc5b1c071dc62a6181fb602b5b2cf","abstract_canon_sha256":"297098549cd0337805a0430476a7bfbcf8f631306dc32fae84a562d1112d7418"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:14.327805Z","signature_b64":"mGEbu1/YHVM4V//YfCh1DXBdWRN7/LWBzD8th0YMfby/Fha3++cP3V+cpFp55YavN0iFl3qPK4LfAMR46RjuAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5da14d76ec64ec45b329cee69d7a0ce088d9a39c2cc0cf074f828d78bd7db254","last_reissued_at":"2026-05-18T01:46:14.327117Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:14.327117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unimodular homotopy algebras and Chern-Simons theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.AG","math.AT"],"primary_cat":"math.QA","authors_text":"Andrey Lazarev, Christopher Braun","submitted_at":"2013-09-12T17:09:40Z","abstract_excerpt":"Quantum Chern-Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L-infinity) algebra g, the vector space H^*(M) \\otimes g has the structure of an L-infinity algebra whose homotopy type is a homotopy invariant of M. We formulate necessary and sufficient conditions for this L-infinity algebra to have a quantum lift. We also obtain structural results on unimodular L-infinity algebras and introduce a doubling construction which links unimodular and cyclic L-infinity algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3219","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1309.3219","created_at":"2026-05-18T01:46:14.327225+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.3219v3","created_at":"2026-05-18T01:46:14.327225+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3219","created_at":"2026-05-18T01:46:14.327225+00:00"},{"alias_kind":"pith_short_12","alias_value":"LWQU25XMMTWE","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LWQU25XMMTWELMZJ","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LWQU25XM","created_at":"2026-05-18T12:27:51.066281+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.24864","citing_title":"On the structure of higher-dimensional integrable field theories","ref_index":11,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LWQU25XMMTWELMZJZ3TJ26QM4C","json":"https://pith.science/pith/LWQU25XMMTWELMZJZ3TJ26QM4C.json","graph_json":"https://pith.science/api/pith-number/LWQU25XMMTWELMZJZ3TJ26QM4C/graph.json","events_json":"https://pith.science/api/pith-number/LWQU25XMMTWELMZJZ3TJ26QM4C/events.json","paper":"https://pith.science/paper/LWQU25XM"},"agent_actions":{"view_html":"https://pith.science/pith/LWQU25XMMTWELMZJZ3TJ26QM4C","download_json":"https://pith.science/pith/LWQU25XMMTWELMZJZ3TJ26QM4C.json","view_paper":"https://pith.science/paper/LWQU25XM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.3219&json=true","fetch_graph":"https://pith.science/api/pith-number/LWQU25XMMTWELMZJZ3TJ26QM4C/graph.json","fetch_events":"https://pith.science/api/pith-number/LWQU25XMMTWELMZJZ3TJ26QM4C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LWQU25XMMTWELMZJZ3TJ26QM4C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LWQU25XMMTWELMZJZ3TJ26QM4C/action/storage_attestation","attest_author":"https://pith.science/pith/LWQU25XMMTWELMZJZ3TJ26QM4C/action/author_attestation","sign_citation":"https://pith.science/pith/LWQU25XMMTWELMZJZ3TJ26QM4C/action/citation_signature","submit_replication":"https://pith.science/pith/LWQU25XMMTWELMZJZ3TJ26QM4C/action/replication_record"}},"created_at":"2026-05-18T01:46:14.327225+00:00","updated_at":"2026-05-18T01:46:14.327225+00:00"}