{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:KYIWWRK2TKQI3EH622YQ3MAORG","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":"4aa981d811bd56c5debdbb757b798e11595bbd44d08d514fd7fe881d5f56a433","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-08T19:00:03Z","title_canon_sha256":"a2a43f4033fc60bad70670108ef0ab5b27fc6cad5db9046095489bdac30b0559"},"schema_version":"1.0","source":{"id":"2212.04513","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.04513","created_at":"2026-07-05T06:26:44Z"},{"alias_kind":"arxiv_version","alias_value":"2212.04513v2","created_at":"2026-07-05T06:26:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.04513","created_at":"2026-07-05T06:26:44Z"},{"alias_kind":"pith_short_12","alias_value":"KYIWWRK2TKQI","created_at":"2026-07-05T06:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"KYIWWRK2TKQI3EH6","created_at":"2026-07-05T06:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"KYIWWRK2","created_at":"2026-07-05T06:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:77b575092be3e96433bce0137733da5e23f4cbdfa4e273c9443bc55cddc05c2e","target":"graph","created_at":"2026-07-05T06:26:44Z","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/2212.04513/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give an explicit gauge invariant, off-shell and local double copy construction of gravity from Yang-Mills theory to quartic order. To this end we use the framework of homotopy algebras, and we identify a rich new algebraic structure associated to color-stripped Yang-Mills theory. This algebra, which is a generalization of a Batalin-Vilkovisky algebra, is the underlying structure necessary for double copy. We give a self-contained introduction into these algebras by illustrating them for Chern-Simons theory in three dimensions. We then construct N = 0 supergravity in the form of double field","authors_text":"Christoph Chiaffrino, Felipe Diaz-Jaramillo, Olaf Hohm, Roberto Bonezzi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-08T19:00:03Z","title":"Gauge invariant double copy of Yang-Mills theory: the quartic theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.04513","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:c962e5d0bcfb3f47b4d2be0af8dfb11f05b5fa3ef24808e74738e54836c5cde3","target":"record","created_at":"2026-07-05T06:26:44Z","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":"4aa981d811bd56c5debdbb757b798e11595bbd44d08d514fd7fe881d5f56a433","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-08T19:00:03Z","title_canon_sha256":"a2a43f4033fc60bad70670108ef0ab5b27fc6cad5db9046095489bdac30b0559"},"schema_version":"1.0","source":{"id":"2212.04513","kind":"arxiv","version":2}},"canonical_sha256":"56116b455a9aa08d90fed6b10db00e89bbabe0c85d6b57ff4130ee386207a6bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56116b455a9aa08d90fed6b10db00e89bbabe0c85d6b57ff4130ee386207a6bb","first_computed_at":"2026-07-05T06:26:44.543851Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:26:44.543851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wvO3V5hpQONxT0k+/EB84jgy5S6rerWoTEo7Bj8qP/9EnrDbtbL/RWzQ+OxwQ3ykW1MqR1D6Zvi2s2T73mktAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:26:44.544327Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.04513","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c962e5d0bcfb3f47b4d2be0af8dfb11f05b5fa3ef24808e74738e54836c5cde3","sha256:77b575092be3e96433bce0137733da5e23f4cbdfa4e273c9443bc55cddc05c2e"],"state_sha256":"5db557c29b38e0453a098d4e02fa8c89bff5e78d1981042da2b1f6215696443e"}