{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LCJ6C63FCPXIRHM3RXWIRW3HRR","short_pith_number":"pith:LCJ6C63F","canonical_record":{"source":{"id":"1806.08754","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-22T16:33:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5fbfa6d6cb3de9b49ba6de3d2f3ec0764e1ec7145ba899ab190a5db5cd88dfef","abstract_canon_sha256":"bd67c528339d6bb559a25c56af4a97952a39a54c0228a33d901450fd797d1277"},"schema_version":"1.0"},"canonical_sha256":"5893e17b6513ee889d9b8dec88db678c6b2bce1cf2e0254e1e892a4679ade500","source":{"kind":"arxiv","id":"1806.08754","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08754","created_at":"2026-07-05T07:29:23Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08754v2","created_at":"2026-07-05T07:29:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08754","created_at":"2026-07-05T07:29:23Z"},{"alias_kind":"pith_short_12","alias_value":"LCJ6C63FCPXI","created_at":"2026-07-05T07:29:23Z"},{"alias_kind":"pith_short_16","alias_value":"LCJ6C63FCPXIRHM3","created_at":"2026-07-05T07:29:23Z"},{"alias_kind":"pith_short_8","alias_value":"LCJ6C63F","created_at":"2026-07-05T07:29:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LCJ6C63FCPXIRHM3RXWIRW3HRR","target":"record","payload":{"canonical_record":{"source":{"id":"1806.08754","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-22T16:33:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5fbfa6d6cb3de9b49ba6de3d2f3ec0764e1ec7145ba899ab190a5db5cd88dfef","abstract_canon_sha256":"bd67c528339d6bb559a25c56af4a97952a39a54c0228a33d901450fd797d1277"},"schema_version":"1.0"},"canonical_sha256":"5893e17b6513ee889d9b8dec88db678c6b2bce1cf2e0254e1e892a4679ade500","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:29:23.821639Z","signature_b64":"h72vQJ0+CicnwkwdGlPEEceubIiyYClNEf5qPh2ELOxt0AxzFuO26jP+1pC0vsF/0RutXDT5ef/p7t/ailHBCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5893e17b6513ee889d9b8dec88db678c6b2bce1cf2e0254e1e892a4679ade500","last_reissued_at":"2026-07-05T07:29:23.821142Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:29:23.821142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.08754","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":"2026-07-05T07:29:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3WFD95DZ2NiBwXAW3kb1cNulYx8/IRj/p8dUIK9sX3rBd4Ha7VDNQJsMmTXoXEcEqwfbLrwRZTL/1fK9MznBCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T00:20:05.601997Z"},"content_sha256":"005d9fb9a378b16bb72c795e5afc9c1e5d0bfa1b29584ed91dd285d7ff473c3b","schema_version":"1.0","event_id":"sha256:005d9fb9a378b16bb72c795e5afc9c1e5d0bfa1b29584ed91dd285d7ff473c3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LCJ6C63FCPXIRHM3RXWIRW3HRR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An operadic approach to vertex algebra and Poisson vertex algebra cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RT","authors_text":"Alberto De Sole, Bojko Bakalov, Reimundo Heluani, Victor G. Kac","submitted_at":"2018-06-22T16:33:40Z","abstract_excerpt":"We translate the construction of the chiral operad by Beilinson and Drinfeld to the purely algebraic language of vertex algebras. Consequently, the general construction of a cohomology complex associated to a linear operad produces a vertex algebra cohomology complex. Likewise, the associated graded of the chiral operad leads to a classical operad, which produces a Poisson vertex algebra cohomology complex. The latter is closely related to the variational Poisson cohomology studied by two of the authors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08754","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/1806.08754/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":"2026-07-05T07:29:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hod5NQA6TFemo4+qXy6ONfYK0VAAqSN8QUGuRbnBH9EU/46Y5olqmYQljOMIJuAVN9jacOde++v4s8HZiKqPBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T00:20:05.602543Z"},"content_sha256":"6bbb2128bd439650069e00c07cb52e3631a817ecdf39924172f693285095b969","schema_version":"1.0","event_id":"sha256:6bbb2128bd439650069e00c07cb52e3631a817ecdf39924172f693285095b969"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LCJ6C63FCPXIRHM3RXWIRW3HRR/bundle.json","state_url":"https://pith.science/pith/LCJ6C63FCPXIRHM3RXWIRW3HRR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LCJ6C63FCPXIRHM3RXWIRW3HRR/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":"2026-08-18T00:20:05Z","links":{"resolver":"https://pith.science/pith/LCJ6C63FCPXIRHM3RXWIRW3HRR","bundle":"https://pith.science/pith/LCJ6C63FCPXIRHM3RXWIRW3HRR/bundle.json","state":"https://pith.science/pith/LCJ6C63FCPXIRHM3RXWIRW3HRR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LCJ6C63FCPXIRHM3RXWIRW3HRR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LCJ6C63FCPXIRHM3RXWIRW3HRR","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":"bd67c528339d6bb559a25c56af4a97952a39a54c0228a33d901450fd797d1277","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-22T16:33:40Z","title_canon_sha256":"5fbfa6d6cb3de9b49ba6de3d2f3ec0764e1ec7145ba899ab190a5db5cd88dfef"},"schema_version":"1.0","source":{"id":"1806.08754","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08754","created_at":"2026-07-05T07:29:23Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08754v2","created_at":"2026-07-05T07:29:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08754","created_at":"2026-07-05T07:29:23Z"},{"alias_kind":"pith_short_12","alias_value":"LCJ6C63FCPXI","created_at":"2026-07-05T07:29:23Z"},{"alias_kind":"pith_short_16","alias_value":"LCJ6C63FCPXIRHM3","created_at":"2026-07-05T07:29:23Z"},{"alias_kind":"pith_short_8","alias_value":"LCJ6C63F","created_at":"2026-07-05T07:29:23Z"}],"graph_snapshots":[{"event_id":"sha256:6bbb2128bd439650069e00c07cb52e3631a817ecdf39924172f693285095b969","target":"graph","created_at":"2026-07-05T07:29:23Z","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/1806.08754/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We translate the construction of the chiral operad by Beilinson and Drinfeld to the purely algebraic language of vertex algebras. Consequently, the general construction of a cohomology complex associated to a linear operad produces a vertex algebra cohomology complex. Likewise, the associated graded of the chiral operad leads to a classical operad, which produces a Poisson vertex algebra cohomology complex. The latter is closely related to the variational Poisson cohomology studied by two of the authors.","authors_text":"Alberto De Sole, Bojko Bakalov, Reimundo Heluani, Victor G. Kac","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-22T16:33:40Z","title":"An operadic approach to vertex algebra and Poisson vertex algebra cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08754","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":"sha256:005d9fb9a378b16bb72c795e5afc9c1e5d0bfa1b29584ed91dd285d7ff473c3b","target":"record","created_at":"2026-07-05T07:29:23Z","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":"bd67c528339d6bb559a25c56af4a97952a39a54c0228a33d901450fd797d1277","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-22T16:33:40Z","title_canon_sha256":"5fbfa6d6cb3de9b49ba6de3d2f3ec0764e1ec7145ba899ab190a5db5cd88dfef"},"schema_version":"1.0","source":{"id":"1806.08754","kind":"arxiv","version":2}},"canonical_sha256":"5893e17b6513ee889d9b8dec88db678c6b2bce1cf2e0254e1e892a4679ade500","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5893e17b6513ee889d9b8dec88db678c6b2bce1cf2e0254e1e892a4679ade500","first_computed_at":"2026-07-05T07:29:23.821142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:29:23.821142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h72vQJ0+CicnwkwdGlPEEceubIiyYClNEf5qPh2ELOxt0AxzFuO26jP+1pC0vsF/0RutXDT5ef/p7t/ailHBCA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:29:23.821639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.08754","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:005d9fb9a378b16bb72c795e5afc9c1e5d0bfa1b29584ed91dd285d7ff473c3b","sha256:6bbb2128bd439650069e00c07cb52e3631a817ecdf39924172f693285095b969"],"state_sha256":"cdefdd390bed06b68a3f11b17b7005c092d122ddc393f620924058f00dca3c77"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HOab1AqHNwDprDZe1Pp3ENr4k64jrv5QYVj4+Ii58k0bH+EEJuNdtflS68s/l7J4atqOk+AaCxlq7dK8xoc1Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T00:20:05.607635Z","bundle_sha256":"86c7ce82056d10991c54ca39c5fab44fed0fb2a1e91cd51631a20773cf58fef8"}}