{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:NAHVFBPEG443T55S3B3KC3WFUM","short_pith_number":"pith:NAHVFBPE","canonical_record":{"source":{"id":"2302.08492","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2023-02-16T18:51:16Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"b23b3d81bdfeba9d84a6074621d3b40a51b2efa4bf43cd52bc8df717a20d3d81","abstract_canon_sha256":"4ad2797fa0191df4fa93fd593e7526ce6f6fe9376556e59689bf3feffa808490"},"schema_version":"1.0"},"canonical_sha256":"680f5285e43739b9f7b2d876a16ec5a321dd05124687ab808027dd3c3f64239f","source":{"kind":"arxiv","id":"2302.08492","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.08492","created_at":"2026-05-26T02:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"2302.08492v3","created_at":"2026-05-26T02:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.08492","created_at":"2026-05-26T02:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"NAHVFBPEG443","created_at":"2026-05-26T02:03:44Z"},{"alias_kind":"pith_short_16","alias_value":"NAHVFBPEG443T55S","created_at":"2026-05-26T02:03:44Z"},{"alias_kind":"pith_short_8","alias_value":"NAHVFBPE","created_at":"2026-05-26T02:03:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:NAHVFBPEG443T55S3B3KC3WFUM","target":"record","payload":{"canonical_record":{"source":{"id":"2302.08492","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2023-02-16T18:51:16Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"b23b3d81bdfeba9d84a6074621d3b40a51b2efa4bf43cd52bc8df717a20d3d81","abstract_canon_sha256":"4ad2797fa0191df4fa93fd593e7526ce6f6fe9376556e59689bf3feffa808490"},"schema_version":"1.0"},"canonical_sha256":"680f5285e43739b9f7b2d876a16ec5a321dd05124687ab808027dd3c3f64239f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:03:44.332341Z","signature_b64":"NsSLz/Q8EnlfiL7xUC9tPRFWAgftJqwcw1p7XbpCfmNJTbr1VozdsCxDX1GPctVoo31JprBzOIZY8BgoYK0RBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"680f5285e43739b9f7b2d876a16ec5a321dd05124687ab808027dd3c3f64239f","last_reissued_at":"2026-05-26T02:03:44.331418Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:03:44.331418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.08492","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":"2026-05-26T02:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HHU5uO7/1T2aJ8rqDXqQxLsBUbEFfTk8Hc+dPAp8Q9tNBjIGnuxNyr0qU7+TyCepJhi6nhJh+0Rfbr3SIiHWBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:07:07.752537Z"},"content_sha256":"e9ec70d7375b0e2659f05323930c9081985550ffabdd07eea1e3b7d4b3086fc1","schema_version":"1.0","event_id":"sha256:e9ec70d7375b0e2659f05323930c9081985550ffabdd07eea1e3b7d4b3086fc1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:NAHVFBPEG443T55S3B3KC3WFUM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formality of hypercommutative algebras of K\\\"ahler and Calabi-Yau manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AT","authors_text":"Geoffroy Horel, Joana Cirici","submitted_at":"2023-02-16T18:51:16Z","abstract_excerpt":"Any Batalin-Vilkovisky algebra with a homotopy trivialization of the BV-operator gives rise to a hypercommutative algebra structure at the cochain level which, in general, contains more homotopical information than the hypercommutative algebra introduced by Barannikov and Kontsevich on cohomology. In this paper, we use the purity of mixed Hodge structures to show that the canonical hypercommutative algebra defined on any compact Calabi-Yau manifold is formal. We also study related hypercommutative algebras associated to compact K\\\"ahler and Hermitian manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.08492","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2302.08492/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":"2026-05-26T02:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KsnKWn+EOR7fCUr7j+dGD1NG1JvYGJjgMSk2pu0gMeYcE6euUqhylkzHC6sk7zYwS9cQUWF2WS8FRU5xbKi7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:07:07.753301Z"},"content_sha256":"2bce67629567a8646f2599d65544625cadb1c0fbf0430cf678d52cc4bef49b75","schema_version":"1.0","event_id":"sha256:2bce67629567a8646f2599d65544625cadb1c0fbf0430cf678d52cc4bef49b75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NAHVFBPEG443T55S3B3KC3WFUM/bundle.json","state_url":"https://pith.science/pith/NAHVFBPEG443T55S3B3KC3WFUM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NAHVFBPEG443T55S3B3KC3WFUM/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":"2026-06-08T19:07:07Z","links":{"resolver":"https://pith.science/pith/NAHVFBPEG443T55S3B3KC3WFUM","bundle":"https://pith.science/pith/NAHVFBPEG443T55S3B3KC3WFUM/bundle.json","state":"https://pith.science/pith/NAHVFBPEG443T55S3B3KC3WFUM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NAHVFBPEG443T55S3B3KC3WFUM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NAHVFBPEG443T55S3B3KC3WFUM","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":"4ad2797fa0191df4fa93fd593e7526ce6f6fe9376556e59689bf3feffa808490","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2023-02-16T18:51:16Z","title_canon_sha256":"b23b3d81bdfeba9d84a6074621d3b40a51b2efa4bf43cd52bc8df717a20d3d81"},"schema_version":"1.0","source":{"id":"2302.08492","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.08492","created_at":"2026-05-26T02:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"2302.08492v3","created_at":"2026-05-26T02:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.08492","created_at":"2026-05-26T02:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"NAHVFBPEG443","created_at":"2026-05-26T02:03:44Z"},{"alias_kind":"pith_short_16","alias_value":"NAHVFBPEG443T55S","created_at":"2026-05-26T02:03:44Z"},{"alias_kind":"pith_short_8","alias_value":"NAHVFBPE","created_at":"2026-05-26T02:03:44Z"}],"graph_snapshots":[{"event_id":"sha256:2bce67629567a8646f2599d65544625cadb1c0fbf0430cf678d52cc4bef49b75","target":"graph","created_at":"2026-05-26T02:03:44Z","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/2302.08492/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Any Batalin-Vilkovisky algebra with a homotopy trivialization of the BV-operator gives rise to a hypercommutative algebra structure at the cochain level which, in general, contains more homotopical information than the hypercommutative algebra introduced by Barannikov and Kontsevich on cohomology. In this paper, we use the purity of mixed Hodge structures to show that the canonical hypercommutative algebra defined on any compact Calabi-Yau manifold is formal. We also study related hypercommutative algebras associated to compact K\\\"ahler and Hermitian manifolds.","authors_text":"Geoffroy Horel, Joana Cirici","cross_cats":["math.DG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2023-02-16T18:51:16Z","title":"Formality of hypercommutative algebras of K\\\"ahler and Calabi-Yau manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.08492","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:e9ec70d7375b0e2659f05323930c9081985550ffabdd07eea1e3b7d4b3086fc1","target":"record","created_at":"2026-05-26T02:03:44Z","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":"4ad2797fa0191df4fa93fd593e7526ce6f6fe9376556e59689bf3feffa808490","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2023-02-16T18:51:16Z","title_canon_sha256":"b23b3d81bdfeba9d84a6074621d3b40a51b2efa4bf43cd52bc8df717a20d3d81"},"schema_version":"1.0","source":{"id":"2302.08492","kind":"arxiv","version":3}},"canonical_sha256":"680f5285e43739b9f7b2d876a16ec5a321dd05124687ab808027dd3c3f64239f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"680f5285e43739b9f7b2d876a16ec5a321dd05124687ab808027dd3c3f64239f","first_computed_at":"2026-05-26T02:03:44.331418Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:03:44.331418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NsSLz/Q8EnlfiL7xUC9tPRFWAgftJqwcw1p7XbpCfmNJTbr1VozdsCxDX1GPctVoo31JprBzOIZY8BgoYK0RBQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:03:44.332341Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.08492","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9ec70d7375b0e2659f05323930c9081985550ffabdd07eea1e3b7d4b3086fc1","sha256:2bce67629567a8646f2599d65544625cadb1c0fbf0430cf678d52cc4bef49b75"],"state_sha256":"b4944574f8d88d02e0251830e0e7990be501b499e081730ba51143bd69ac5f5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tFVdeS5P8844SSP6iy+MXmaodinszINaGnOeT9waLWp5CTJxr4TuPWV0Dy83OEGOwpyewK5g2goUMwZNq192CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:07:07.757296Z","bundle_sha256":"1cd9fe13dd8776feae788efe0bfe38c46dd20e2e966ff2e31c3395e9f140a67e"}}