{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:QCVK3SDPEN6LFXDUZEJTQPVY5E","short_pith_number":"pith:QCVK3SDP","canonical_record":{"source":{"id":"2506.09869","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-11T15:42:00Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d3dca0e6e4c1a89b0c6f8f204635a5829390de472984732766ec5bfe4ef3082b","abstract_canon_sha256":"a24b9f6a265ae725b69de0bc7a90fd0b842f1b153460470baa5439b0975e57f2"},"schema_version":"1.0"},"canonical_sha256":"80aaadc86f237cb2dc74c913383eb8e917e325491bf50695f99f975a878f4914","source":{"kind":"arxiv","id":"2506.09869","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.09869","created_at":"2026-06-23T03:13:45Z"},{"alias_kind":"arxiv_version","alias_value":"2506.09869v2","created_at":"2026-06-23T03:13:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.09869","created_at":"2026-06-23T03:13:45Z"},{"alias_kind":"pith_short_12","alias_value":"QCVK3SDPEN6L","created_at":"2026-06-23T03:13:45Z"},{"alias_kind":"pith_short_16","alias_value":"QCVK3SDPEN6LFXDU","created_at":"2026-06-23T03:13:45Z"},{"alias_kind":"pith_short_8","alias_value":"QCVK3SDP","created_at":"2026-06-23T03:13:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:QCVK3SDPEN6LFXDUZEJTQPVY5E","target":"record","payload":{"canonical_record":{"source":{"id":"2506.09869","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-11T15:42:00Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d3dca0e6e4c1a89b0c6f8f204635a5829390de472984732766ec5bfe4ef3082b","abstract_canon_sha256":"a24b9f6a265ae725b69de0bc7a90fd0b842f1b153460470baa5439b0975e57f2"},"schema_version":"1.0"},"canonical_sha256":"80aaadc86f237cb2dc74c913383eb8e917e325491bf50695f99f975a878f4914","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T03:13:45.890728Z","signature_b64":"4YaRhZo0OOWWIOMLrmzGhv3Ny/BatN07l/8yIKUi72KZ29MupMT4LiuoM1VMxcFDNK+FC6xmxh8MoJIgJArPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80aaadc86f237cb2dc74c913383eb8e917e325491bf50695f99f975a878f4914","last_reissued_at":"2026-06-23T03:13:45.890336Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T03:13:45.890336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.09869","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":"2026-06-23T03:13:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RxleN3EfCuJisCktE4ZEc4Em/OP7tKQtiwm7/WMbRsJhiSC4Ylihl6M6QCQY7kjY7sKhqpkOr4o7m55upPbuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T16:43:18.269509Z"},"content_sha256":"024f4ce5832711c0fc027182bb9f6e30d921c552466b8f9fbeb229e0632c625f","schema_version":"1.0","event_id":"sha256:024f4ce5832711c0fc027182bb9f6e30d921c552466b8f9fbeb229e0632c625f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:QCVK3SDPEN6LFXDUZEJTQPVY5E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Off-shell double copy theories in BV","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Francesco Bonechi, Maor Ben-Shahar, Maxim Zabzine","submitted_at":"2025-06-11T15:42:00Z","abstract_excerpt":"We present a construction of the double copy for gauge theories that exhibit off-shell color-kinematics duality within the Batalin-Vilkovitsky (BV) formalism. As illustrative examples, we consider the double copies of Chern-Simons theory, four-dimensional BF theory, and two-dimensional Yang-Mills theory, and we discuss possible gravity interpretations for these cases. We formalize the construction and demonstrate that Kodaira-Spencer gravity, K\\\"ahler gravity, and their generalizations, fit naturally within this framework. In particular, Kodaira-Spencer gravity emerges as a gauge theory descri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.09869","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/2506.09869/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":"2026-06-23T03:13:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IB9RejMIktyBRcoa5psnMvYAsQMJDe7Ya9FBiGWx/YYFuIpP48P1NoaPJCWCz4qYe8zZrOeYQPrl8ONoKxbJDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T16:43:18.269885Z"},"content_sha256":"f3605f0c35e5186e10a74ababbcc29ba1c4d3459c739ebeb5d70226a645bd3c4","schema_version":"1.0","event_id":"sha256:f3605f0c35e5186e10a74ababbcc29ba1c4d3459c739ebeb5d70226a645bd3c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QCVK3SDPEN6LFXDUZEJTQPVY5E/bundle.json","state_url":"https://pith.science/pith/QCVK3SDPEN6LFXDUZEJTQPVY5E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QCVK3SDPEN6LFXDUZEJTQPVY5E/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":"2026-07-01T16:43:18Z","links":{"resolver":"https://pith.science/pith/QCVK3SDPEN6LFXDUZEJTQPVY5E","bundle":"https://pith.science/pith/QCVK3SDPEN6LFXDUZEJTQPVY5E/bundle.json","state":"https://pith.science/pith/QCVK3SDPEN6LFXDUZEJTQPVY5E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QCVK3SDPEN6LFXDUZEJTQPVY5E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QCVK3SDPEN6LFXDUZEJTQPVY5E","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":"a24b9f6a265ae725b69de0bc7a90fd0b842f1b153460470baa5439b0975e57f2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-11T15:42:00Z","title_canon_sha256":"d3dca0e6e4c1a89b0c6f8f204635a5829390de472984732766ec5bfe4ef3082b"},"schema_version":"1.0","source":{"id":"2506.09869","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.09869","created_at":"2026-06-23T03:13:45Z"},{"alias_kind":"arxiv_version","alias_value":"2506.09869v2","created_at":"2026-06-23T03:13:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.09869","created_at":"2026-06-23T03:13:45Z"},{"alias_kind":"pith_short_12","alias_value":"QCVK3SDPEN6L","created_at":"2026-06-23T03:13:45Z"},{"alias_kind":"pith_short_16","alias_value":"QCVK3SDPEN6LFXDU","created_at":"2026-06-23T03:13:45Z"},{"alias_kind":"pith_short_8","alias_value":"QCVK3SDP","created_at":"2026-06-23T03:13:45Z"}],"graph_snapshots":[{"event_id":"sha256:f3605f0c35e5186e10a74ababbcc29ba1c4d3459c739ebeb5d70226a645bd3c4","target":"graph","created_at":"2026-06-23T03:13:45Z","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/2506.09869/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a construction of the double copy for gauge theories that exhibit off-shell color-kinematics duality within the Batalin-Vilkovitsky (BV) formalism. As illustrative examples, we consider the double copies of Chern-Simons theory, four-dimensional BF theory, and two-dimensional Yang-Mills theory, and we discuss possible gravity interpretations for these cases. We formalize the construction and demonstrate that Kodaira-Spencer gravity, K\\\"ahler gravity, and their generalizations, fit naturally within this framework. In particular, Kodaira-Spencer gravity emerges as a gauge theory descri","authors_text":"Francesco Bonechi, Maor Ben-Shahar, Maxim Zabzine","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-11T15:42:00Z","title":"Off-shell double copy theories in BV"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.09869","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":"sha256:024f4ce5832711c0fc027182bb9f6e30d921c552466b8f9fbeb229e0632c625f","target":"record","created_at":"2026-06-23T03:13:45Z","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":"a24b9f6a265ae725b69de0bc7a90fd0b842f1b153460470baa5439b0975e57f2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-11T15:42:00Z","title_canon_sha256":"d3dca0e6e4c1a89b0c6f8f204635a5829390de472984732766ec5bfe4ef3082b"},"schema_version":"1.0","source":{"id":"2506.09869","kind":"arxiv","version":2}},"canonical_sha256":"80aaadc86f237cb2dc74c913383eb8e917e325491bf50695f99f975a878f4914","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80aaadc86f237cb2dc74c913383eb8e917e325491bf50695f99f975a878f4914","first_computed_at":"2026-06-23T03:13:45.890336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T03:13:45.890336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4YaRhZo0OOWWIOMLrmzGhv3Ny/BatN07l/8yIKUi72KZ29MupMT4LiuoM1VMxcFDNK+FC6xmxh8MoJIgJArPDw==","signature_status":"signed_v1","signed_at":"2026-06-23T03:13:45.890728Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.09869","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:024f4ce5832711c0fc027182bb9f6e30d921c552466b8f9fbeb229e0632c625f","sha256:f3605f0c35e5186e10a74ababbcc29ba1c4d3459c739ebeb5d70226a645bd3c4"],"state_sha256":"48b7cc50b4f9fcea01f5a521f44f719ee796df4096c5cf62ea9311d6f7c89360"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WZRWeLFXS7tnLF69jPvS/qmqkx8CtlNrT2GuYbyTKdu6mUv6aqhNc7j/MoQNlMLknK369hwOje6AQUh/TK7dDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T16:43:18.271911Z","bundle_sha256":"f4ec11dd3dfc763ca2d65003a47477ea770dd704b672bdb3d93e497994defc96"}}