{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:YWRM7AGQQIGHHF3XGW7NISBRWB","short_pith_number":"pith:YWRM7AGQ","canonical_record":{"source":{"id":"2408.16787","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2024-08-26T09:30:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6a95fd182813be791b21dad276e928508ac9fba5e6179a169960a31d32a58059","abstract_canon_sha256":"19150043fa65f6f302bca3aec5b4932d9207e1c4345bab5b28a1736da9bfa09e"},"schema_version":"1.0"},"canonical_sha256":"c5a2cf80d0820c73977735bed44831b07b45867e98975794d51f67b023e5fcff","source":{"kind":"arxiv","id":"2408.16787","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.16787","created_at":"2026-07-05T09:01:05Z"},{"alias_kind":"arxiv_version","alias_value":"2408.16787v1","created_at":"2026-07-05T09:01:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.16787","created_at":"2026-07-05T09:01:05Z"},{"alias_kind":"pith_short_12","alias_value":"YWRM7AGQQIGH","created_at":"2026-07-05T09:01:05Z"},{"alias_kind":"pith_short_16","alias_value":"YWRM7AGQQIGHHF3X","created_at":"2026-07-05T09:01:05Z"},{"alias_kind":"pith_short_8","alias_value":"YWRM7AGQ","created_at":"2026-07-05T09:01:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:YWRM7AGQQIGHHF3XGW7NISBRWB","target":"record","payload":{"canonical_record":{"source":{"id":"2408.16787","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2024-08-26T09:30:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6a95fd182813be791b21dad276e928508ac9fba5e6179a169960a31d32a58059","abstract_canon_sha256":"19150043fa65f6f302bca3aec5b4932d9207e1c4345bab5b28a1736da9bfa09e"},"schema_version":"1.0"},"canonical_sha256":"c5a2cf80d0820c73977735bed44831b07b45867e98975794d51f67b023e5fcff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:01:05.896941Z","signature_b64":"rUvHoZqCrtPhkQDaryaVuiqm1gXJPHanTJwBBgxpVo23ziyy3s7VkDFoUm+vBrWFKDo9634JFwKZvI/YQYOvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5a2cf80d0820c73977735bed44831b07b45867e98975794d51f67b023e5fcff","last_reissued_at":"2026-07-05T09:01:05.896564Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:01:05.896564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.16787","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:01:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2tMqr65JgJmsVKOJbiBSYNIR8drA9Nwmia3Wfc4esVcw5ZQjVIUtLt9IP74gGMj4SgFE5gAtYQWujoN3VdJ0Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:19:45.295472Z"},"content_sha256":"22733e7919fdc029b42f6094e3efe30e2185b145ba17fabc4677a850a41d7b69","schema_version":"1.0","event_id":"sha256:22733e7919fdc029b42f6094e3efe30e2185b145ba17fabc4677a850a41d7b69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:YWRM7AGQQIGHHF3XGW7NISBRWB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Homotopy chiral algebras","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AT","authors_text":"Fyodor Malikov, Vadim Schechtman","submitted_at":"2024-08-26T09:30:10Z","abstract_excerpt":"We define a notion of a homotopy chiral algebra (HCA), which means a chiral algebra up to higher homotopies, and prove that the Cech complex of a sheaf of chiral algebras admits a structure of a HCA."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.16787","kind":"arxiv","version":1},"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/2408.16787/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":"2026-07-05T09:01:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qn5CQLq7h/w7cldx/mNAmNYVt1Q57D8IzjiyX1A1oy5blQ9WNfuaCW5d8H/XKZnPxWLekimI8HHj3TngJ5GJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:19:45.296354Z"},"content_sha256":"da7b19d229d705b10b3c2b1f608aa0ec07869abe9a1bd7b54364b31a1a8f24b8","schema_version":"1.0","event_id":"sha256:da7b19d229d705b10b3c2b1f608aa0ec07869abe9a1bd7b54364b31a1a8f24b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YWRM7AGQQIGHHF3XGW7NISBRWB/bundle.json","state_url":"https://pith.science/pith/YWRM7AGQQIGHHF3XGW7NISBRWB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YWRM7AGQQIGHHF3XGW7NISBRWB/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":"2026-08-11T02:19:45Z","links":{"resolver":"https://pith.science/pith/YWRM7AGQQIGHHF3XGW7NISBRWB","bundle":"https://pith.science/pith/YWRM7AGQQIGHHF3XGW7NISBRWB/bundle.json","state":"https://pith.science/pith/YWRM7AGQQIGHHF3XGW7NISBRWB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YWRM7AGQQIGHHF3XGW7NISBRWB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YWRM7AGQQIGHHF3XGW7NISBRWB","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":"19150043fa65f6f302bca3aec5b4932d9207e1c4345bab5b28a1736da9bfa09e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2024-08-26T09:30:10Z","title_canon_sha256":"6a95fd182813be791b21dad276e928508ac9fba5e6179a169960a31d32a58059"},"schema_version":"1.0","source":{"id":"2408.16787","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.16787","created_at":"2026-07-05T09:01:05Z"},{"alias_kind":"arxiv_version","alias_value":"2408.16787v1","created_at":"2026-07-05T09:01:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.16787","created_at":"2026-07-05T09:01:05Z"},{"alias_kind":"pith_short_12","alias_value":"YWRM7AGQQIGH","created_at":"2026-07-05T09:01:05Z"},{"alias_kind":"pith_short_16","alias_value":"YWRM7AGQQIGHHF3X","created_at":"2026-07-05T09:01:05Z"},{"alias_kind":"pith_short_8","alias_value":"YWRM7AGQ","created_at":"2026-07-05T09:01:05Z"}],"graph_snapshots":[{"event_id":"sha256:da7b19d229d705b10b3c2b1f608aa0ec07869abe9a1bd7b54364b31a1a8f24b8","target":"graph","created_at":"2026-07-05T09:01:05Z","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/2408.16787/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define a notion of a homotopy chiral algebra (HCA), which means a chiral algebra up to higher homotopies, and prove that the Cech complex of a sheaf of chiral algebras admits a structure of a HCA.","authors_text":"Fyodor Malikov, Vadim Schechtman","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2024-08-26T09:30:10Z","title":"Homotopy chiral algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.16787","kind":"arxiv","version":1},"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":"sha256:22733e7919fdc029b42f6094e3efe30e2185b145ba17fabc4677a850a41d7b69","target":"record","created_at":"2026-07-05T09:01:05Z","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":"19150043fa65f6f302bca3aec5b4932d9207e1c4345bab5b28a1736da9bfa09e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2024-08-26T09:30:10Z","title_canon_sha256":"6a95fd182813be791b21dad276e928508ac9fba5e6179a169960a31d32a58059"},"schema_version":"1.0","source":{"id":"2408.16787","kind":"arxiv","version":1}},"canonical_sha256":"c5a2cf80d0820c73977735bed44831b07b45867e98975794d51f67b023e5fcff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5a2cf80d0820c73977735bed44831b07b45867e98975794d51f67b023e5fcff","first_computed_at":"2026-07-05T09:01:05.896564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:01:05.896564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rUvHoZqCrtPhkQDaryaVuiqm1gXJPHanTJwBBgxpVo23ziyy3s7VkDFoUm+vBrWFKDo9634JFwKZvI/YQYOvAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:01:05.896941Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.16787","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22733e7919fdc029b42f6094e3efe30e2185b145ba17fabc4677a850a41d7b69","sha256:da7b19d229d705b10b3c2b1f608aa0ec07869abe9a1bd7b54364b31a1a8f24b8"],"state_sha256":"2dccbebdd1ce9e6c9cb76f81e3dc9519a8c7dc352a5ad8a10bf0d1edebe03a00"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L4Q4T7Hg4zNBQgkO+/4Yz7oOG31jOjGlHPwLNpcDxndGALQzbUcC8ZvY4Y4JhW04LvS8cuS6Urs2KTZEvMHNCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T02:19:45.319200Z","bundle_sha256":"7df4ad38a1a4dfa480dabfa8d88d23c6fc95c3e748f819a221ac79c571820bfd"}}