{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OORIG3NP6VH5673AA2GAIHLQ6V","short_pith_number":"pith:OORIG3NP","canonical_record":{"source":{"id":"1701.08824","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-30T20:53:49Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"35206066b6439888c770eccbb38351096d3d42d27db075889b3c80a7798e7e26","abstract_canon_sha256":"7786cd046e05c814965e803d32dd20ccd8cf2769330a11100d49ec27c875ef5a"},"schema_version":"1.0"},"canonical_sha256":"73a2836daff54fdf7f60068c041d70f57b5b8cdb287e2faf36720f7392cda77a","source":{"kind":"arxiv","id":"1701.08824","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08824","created_at":"2026-05-18T00:45:42Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08824v3","created_at":"2026-05-18T00:45:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08824","created_at":"2026-05-18T00:45:42Z"},{"alias_kind":"pith_short_12","alias_value":"OORIG3NP6VH5","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OORIG3NP6VH5673A","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OORIG3NP","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OORIG3NP6VH5673AA2GAIHLQ6V","target":"record","payload":{"canonical_record":{"source":{"id":"1701.08824","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-30T20:53:49Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"35206066b6439888c770eccbb38351096d3d42d27db075889b3c80a7798e7e26","abstract_canon_sha256":"7786cd046e05c814965e803d32dd20ccd8cf2769330a11100d49ec27c875ef5a"},"schema_version":"1.0"},"canonical_sha256":"73a2836daff54fdf7f60068c041d70f57b5b8cdb287e2faf36720f7392cda77a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:42.584381Z","signature_b64":"BajBmA+5UoLzDISEr3Hnjr4yUBpwDOzK8kG1NLZ7CeKtizXdj1bDuDCmG6drp+6w9C/boxu5Dja1YbdBpQH6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73a2836daff54fdf7f60068c041d70f57b5b8cdb287e2faf36720f7392cda77a","last_reissued_at":"2026-05-18T00:45:42.583752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:42.583752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.08824","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vmOTxj553VysptebdOv2KxfahLa91Hh16d9bYf4Jkx8AaJQiXVRZNH9SJWwu5bfOMalc/1FHrpncmRRRcXjzCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:14:39.297019Z"},"content_sha256":"137050b98f958b127b12133cd31f02e9873b01338b163cc37330f73e936b4b04","schema_version":"1.0","event_id":"sha256:137050b98f958b127b12133cd31f02e9873b01338b163cc37330f73e936b4b04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OORIG3NP6VH5673AA2GAIHLQ6V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$L_{\\infty}$ Algebras and Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Barton Zwiebach, Olaf Hohm","submitted_at":"2017-01-30T20:53:49Z","abstract_excerpt":"We review and develop the general properties of $L_\\infty$ algebras focusing on the gauge structure of the associated field theories. Motivated by the $L_\\infty$ homotopy Lie algebra of closed string field theory and the work of Roytenberg and Weinstein describing the Courant bracket in this language we investigate the $L_\\infty$ structure of general gauge invariant perturbative field theories. We sketch such formulations for non-abelian gauge theories, Einstein gravity, and for double field theory. We find that there is an $L_\\infty$ algebra for the gauge structure and a larger one for the fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08824","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2CIPbKslGFZBw4dnjJ4Th7rpjrHwTVcQDLXj/Cdx0gUDISh1Gi9Gdhto7S4II5A0fdcDNgHAlFF+kRcGcHukCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:14:39.297472Z"},"content_sha256":"b1b2d8a248e36a28c927f87c7821fcdcda096a86b1f0574f2d166a79b8e52662","schema_version":"1.0","event_id":"sha256:b1b2d8a248e36a28c927f87c7821fcdcda096a86b1f0574f2d166a79b8e52662"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OORIG3NP6VH5673AA2GAIHLQ6V/bundle.json","state_url":"https://pith.science/pith/OORIG3NP6VH5673AA2GAIHLQ6V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OORIG3NP6VH5673AA2GAIHLQ6V/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":"2026-05-27T01:14:39Z","links":{"resolver":"https://pith.science/pith/OORIG3NP6VH5673AA2GAIHLQ6V","bundle":"https://pith.science/pith/OORIG3NP6VH5673AA2GAIHLQ6V/bundle.json","state":"https://pith.science/pith/OORIG3NP6VH5673AA2GAIHLQ6V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OORIG3NP6VH5673AA2GAIHLQ6V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OORIG3NP6VH5673AA2GAIHLQ6V","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":"7786cd046e05c814965e803d32dd20ccd8cf2769330a11100d49ec27c875ef5a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-30T20:53:49Z","title_canon_sha256":"35206066b6439888c770eccbb38351096d3d42d27db075889b3c80a7798e7e26"},"schema_version":"1.0","source":{"id":"1701.08824","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08824","created_at":"2026-05-18T00:45:42Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08824v3","created_at":"2026-05-18T00:45:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08824","created_at":"2026-05-18T00:45:42Z"},{"alias_kind":"pith_short_12","alias_value":"OORIG3NP6VH5","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OORIG3NP6VH5673A","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OORIG3NP","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:b1b2d8a248e36a28c927f87c7821fcdcda096a86b1f0574f2d166a79b8e52662","target":"graph","created_at":"2026-05-18T00:45:42Z","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"},"paper":{"abstract_excerpt":"We review and develop the general properties of $L_\\infty$ algebras focusing on the gauge structure of the associated field theories. Motivated by the $L_\\infty$ homotopy Lie algebra of closed string field theory and the work of Roytenberg and Weinstein describing the Courant bracket in this language we investigate the $L_\\infty$ structure of general gauge invariant perturbative field theories. We sketch such formulations for non-abelian gauge theories, Einstein gravity, and for double field theory. We find that there is an $L_\\infty$ algebra for the gauge structure and a larger one for the fu","authors_text":"Barton Zwiebach, Olaf Hohm","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-30T20:53:49Z","title":"$L_{\\infty}$ Algebras and Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08824","kind":"arxiv","version":3},"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":"sha256:137050b98f958b127b12133cd31f02e9873b01338b163cc37330f73e936b4b04","target":"record","created_at":"2026-05-18T00:45:42Z","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":"7786cd046e05c814965e803d32dd20ccd8cf2769330a11100d49ec27c875ef5a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-30T20:53:49Z","title_canon_sha256":"35206066b6439888c770eccbb38351096d3d42d27db075889b3c80a7798e7e26"},"schema_version":"1.0","source":{"id":"1701.08824","kind":"arxiv","version":3}},"canonical_sha256":"73a2836daff54fdf7f60068c041d70f57b5b8cdb287e2faf36720f7392cda77a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73a2836daff54fdf7f60068c041d70f57b5b8cdb287e2faf36720f7392cda77a","first_computed_at":"2026-05-18T00:45:42.583752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:42.583752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BajBmA+5UoLzDISEr3Hnjr4yUBpwDOzK8kG1NLZ7CeKtizXdj1bDuDCmG6drp+6w9C/boxu5Dja1YbdBpQH6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:42.584381Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.08824","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:137050b98f958b127b12133cd31f02e9873b01338b163cc37330f73e936b4b04","sha256:b1b2d8a248e36a28c927f87c7821fcdcda096a86b1f0574f2d166a79b8e52662"],"state_sha256":"3908257099e905bfbf177f4b440d6a1505ce62597da172980f048b034dbd2f29"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UHVwvwbsqugMHo9Q3zjjAVyyV1CimxhzFHvBVuGCYRcfww3FB+0HwJygkh4t0bf1NDIqtVfB/GU1ITu8XBdpAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:14:39.300932Z","bundle_sha256":"8a1b5c1ee5a2337d4580931e052e3f0c087f339033fb60b621dcaeacf6f8884e"}}