{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3XQDXQ5NJOZ6G43REIN25PBRHD","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":"fab8f07c8563b5afd4ad85f3f1f3395b30d472de25bdbf364198b75329182243","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-15T23:39:29Z","title_canon_sha256":"8937ec37df9354b88da8a9eb7f8030f3de352dd8da9e2181896107154061a36e"},"schema_version":"1.0","source":{"id":"2303.08990","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.08990","created_at":"2026-07-05T06:19:19Z"},{"alias_kind":"arxiv_version","alias_value":"2303.08990v2","created_at":"2026-07-05T06:19:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.08990","created_at":"2026-07-05T06:19:19Z"},{"alias_kind":"pith_short_12","alias_value":"3XQDXQ5NJOZ6","created_at":"2026-07-05T06:19:19Z"},{"alias_kind":"pith_short_16","alias_value":"3XQDXQ5NJOZ6G43R","created_at":"2026-07-05T06:19:19Z"},{"alias_kind":"pith_short_8","alias_value":"3XQDXQ5N","created_at":"2026-07-05T06:19:19Z"}],"graph_snapshots":[{"event_id":"sha256:bef9085698fa3013d91e5f582e15841f46b2cb43a63002cdfbe2316d846e0f79","target":"graph","created_at":"2026-07-05T06:19:19Z","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/2303.08990/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is well known that a $Q$-manifold gives rise to an $L_\\infty$-algebra structure on the tangent space at a fixed point of the homological vector field. From the field theory perspective this implies that the expansion of a classical Batalin-Vilkovisky (BV) formulation around a vacuum solution can be equivalently cast into the form of an $L_\\infty$-algebra. In so doing, the BV symplectic structure determines a compatible cyclic structure on the $L_\\infty$-algebra. Moreover, $L_\\infty$ quasi-isomorphisms correspond to so-called equivalent reductions (also known as the elimination of generalize","authors_text":"Dmitry Rudinsky, Maxim Grigoriev","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-15T23:39:29Z","title":"Notes on the $L_\\infty$-approach to local gauge field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.08990","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":"sha256:4b348c60cd248d46b42f8680cb9c253910d8c73912539fca10de2f868544787c","target":"record","created_at":"2026-07-05T06:19:19Z","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":"fab8f07c8563b5afd4ad85f3f1f3395b30d472de25bdbf364198b75329182243","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-15T23:39:29Z","title_canon_sha256":"8937ec37df9354b88da8a9eb7f8030f3de352dd8da9e2181896107154061a36e"},"schema_version":"1.0","source":{"id":"2303.08990","kind":"arxiv","version":2}},"canonical_sha256":"dde03bc3ad4bb3e37371221baebc3138cf77df4eeef67e94464fd0a9889a95ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dde03bc3ad4bb3e37371221baebc3138cf77df4eeef67e94464fd0a9889a95ef","first_computed_at":"2026-07-05T06:19:19.088883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:19:19.088883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gd999vg4njw1d2f/NdP0peZbCo+1WyQXbt6/9Jua+z7cNJ8RdFfD0rVbmsOe56QNbiOudmJp914Pw3q8IeTVBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:19:19.089281Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.08990","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b348c60cd248d46b42f8680cb9c253910d8c73912539fca10de2f868544787c","sha256:bef9085698fa3013d91e5f582e15841f46b2cb43a63002cdfbe2316d846e0f79"],"state_sha256":"3b8b701b0c007770100c4c7ddece481aa7e8004551913908e070d86eb94e2de0"}