{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2YIIGKNYSNDAIDU67UMGSSRWYE","short_pith_number":"pith:2YIIGKNY","canonical_record":{"source":{"id":"1211.4230","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2012-11-18T16:30:26Z","cross_cats_sorted":["math.AG","math.QA"],"title_canon_sha256":"e583e95d406c42c85e015298889df3559fa5f2159095fe8adc4a91af65b0ddbe","abstract_canon_sha256":"849c9d9ccb8d535baf1889b086895a0887f42bc7a3791a61341321cecc1f2183"},"schema_version":"1.0"},"canonical_sha256":"d6108329b89346040e9efd18694a36c11afb11342c21db72d15381efaf77372e","source":{"kind":"arxiv","id":"1211.4230","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4230","created_at":"2026-05-18T02:27:51Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4230v5","created_at":"2026-05-18T02:27:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4230","created_at":"2026-05-18T02:27:51Z"},{"alias_kind":"pith_short_12","alias_value":"2YIIGKNYSNDA","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2YIIGKNYSNDAIDU6","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2YIIGKNY","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2YIIGKNYSNDAIDU67UMGSSRWYE","target":"record","payload":{"canonical_record":{"source":{"id":"1211.4230","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2012-11-18T16:30:26Z","cross_cats_sorted":["math.AG","math.QA"],"title_canon_sha256":"e583e95d406c42c85e015298889df3559fa5f2159095fe8adc4a91af65b0ddbe","abstract_canon_sha256":"849c9d9ccb8d535baf1889b086895a0887f42bc7a3791a61341321cecc1f2183"},"schema_version":"1.0"},"canonical_sha256":"d6108329b89346040e9efd18694a36c11afb11342c21db72d15381efaf77372e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:51.381440Z","signature_b64":"07tdLboelZVAezzf98CaKzBcp4CZzlmS/3kXsowzybfEFO8RcrMyK93i8MS4W4f1sWiPD1ETrRmwyrJluwukDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6108329b89346040e9efd18694a36c11afb11342c21db72d15381efaf77372e","last_reissued_at":"2026-05-18T02:27:51.381022Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:51.381022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.4230","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:27:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0AGdCeZFh0Xn+dNw91R0dotNBGcmPeKpgURmPgitpsUWZMsSYLr7DwI3QsPe2DbnRbL/MC7grHjGvCbghh01BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:26:47.682995Z"},"content_sha256":"5076f5f089f96b7e203549d66a828ab4af273761af8f9379f97cfa8429b6ac62","schema_version":"1.0","event_id":"sha256:5076f5f089f96b7e203549d66a828ab4af273761af8f9379f97cfa8429b6ac62"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2YIIGKNYSNDAIDU67UMGSSRWYE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kontsevich's graph complex, GRT, and the deformation complex of the sheaf of polyvector fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.QA"],"primary_cat":"math.KT","authors_text":"Christopher L. Rogers, Thomas Willwacher, Vasily Dolgushev","submitted_at":"2012-11-18T16:30:26Z","abstract_excerpt":"We generalize Kontsevich's construction of L-infinity derivations of polyvector fields from the affine space to an arbitrary smooth algebraic variety. More precisely, we construct a map (in the homotopy category) from Kontsevich's graph complex to the deformation complex of the sheaf of polyvector fields on a smooth algebraic variety. We show that the action of Deligne-Drinfeld elements of the Grothendieck-Teichmueller Lie algebra on the cohomology of the sheaf of polyvector fields coincides with the action of odd components of the Chern character. Using this result, we deduce that the A-hat g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4230","kind":"arxiv","version":5},"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":"2026-05-18T02:27:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GS8SI3sfFX06jrC3DBmcqaiXsGsghnI7pBUirzIdO98VHTfz6ilgglsKIhXfkNMErP7ouQq6BS1w3n6Q8E8wAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:26:47.683357Z"},"content_sha256":"d38aab0baba36e530df992b8fce1fb9a28f08f0ef3447357e1dd9b9dc5b7099b","schema_version":"1.0","event_id":"sha256:d38aab0baba36e530df992b8fce1fb9a28f08f0ef3447357e1dd9b9dc5b7099b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2YIIGKNYSNDAIDU67UMGSSRWYE/bundle.json","state_url":"https://pith.science/pith/2YIIGKNYSNDAIDU67UMGSSRWYE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2YIIGKNYSNDAIDU67UMGSSRWYE/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":"2026-06-04T01:26:47Z","links":{"resolver":"https://pith.science/pith/2YIIGKNYSNDAIDU67UMGSSRWYE","bundle":"https://pith.science/pith/2YIIGKNYSNDAIDU67UMGSSRWYE/bundle.json","state":"https://pith.science/pith/2YIIGKNYSNDAIDU67UMGSSRWYE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2YIIGKNYSNDAIDU67UMGSSRWYE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2YIIGKNYSNDAIDU67UMGSSRWYE","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":"849c9d9ccb8d535baf1889b086895a0887f42bc7a3791a61341321cecc1f2183","cross_cats_sorted":["math.AG","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2012-11-18T16:30:26Z","title_canon_sha256":"e583e95d406c42c85e015298889df3559fa5f2159095fe8adc4a91af65b0ddbe"},"schema_version":"1.0","source":{"id":"1211.4230","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4230","created_at":"2026-05-18T02:27:51Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4230v5","created_at":"2026-05-18T02:27:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4230","created_at":"2026-05-18T02:27:51Z"},{"alias_kind":"pith_short_12","alias_value":"2YIIGKNYSNDA","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2YIIGKNYSNDAIDU6","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2YIIGKNY","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:d38aab0baba36e530df992b8fce1fb9a28f08f0ef3447357e1dd9b9dc5b7099b","target":"graph","created_at":"2026-05-18T02:27:51Z","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 generalize Kontsevich's construction of L-infinity derivations of polyvector fields from the affine space to an arbitrary smooth algebraic variety. More precisely, we construct a map (in the homotopy category) from Kontsevich's graph complex to the deformation complex of the sheaf of polyvector fields on a smooth algebraic variety. We show that the action of Deligne-Drinfeld elements of the Grothendieck-Teichmueller Lie algebra on the cohomology of the sheaf of polyvector fields coincides with the action of odd components of the Chern character. Using this result, we deduce that the A-hat g","authors_text":"Christopher L. Rogers, Thomas Willwacher, Vasily Dolgushev","cross_cats":["math.AG","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2012-11-18T16:30:26Z","title":"Kontsevich's graph complex, GRT, and the deformation complex of the sheaf of polyvector fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4230","kind":"arxiv","version":5},"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":"sha256:5076f5f089f96b7e203549d66a828ab4af273761af8f9379f97cfa8429b6ac62","target":"record","created_at":"2026-05-18T02:27:51Z","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":"849c9d9ccb8d535baf1889b086895a0887f42bc7a3791a61341321cecc1f2183","cross_cats_sorted":["math.AG","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2012-11-18T16:30:26Z","title_canon_sha256":"e583e95d406c42c85e015298889df3559fa5f2159095fe8adc4a91af65b0ddbe"},"schema_version":"1.0","source":{"id":"1211.4230","kind":"arxiv","version":5}},"canonical_sha256":"d6108329b89346040e9efd18694a36c11afb11342c21db72d15381efaf77372e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6108329b89346040e9efd18694a36c11afb11342c21db72d15381efaf77372e","first_computed_at":"2026-05-18T02:27:51.381022Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:51.381022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"07tdLboelZVAezzf98CaKzBcp4CZzlmS/3kXsowzybfEFO8RcrMyK93i8MS4W4f1sWiPD1ETrRmwyrJluwukDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:51.381440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.4230","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5076f5f089f96b7e203549d66a828ab4af273761af8f9379f97cfa8429b6ac62","sha256:d38aab0baba36e530df992b8fce1fb9a28f08f0ef3447357e1dd9b9dc5b7099b"],"state_sha256":"f0f63d988b1d16ad6e35d06af2ab52065dc92f70f906bffb305152562d044003"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ujuDw648/KvDPuCZyWGUDntwd86KyEch+iPQ0B36xLRFT2ZoMIfw7IunnSegtiU5gSdTu9OYp6kCwSRJNNFNBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T01:26:47.685297Z","bundle_sha256":"b961116562f620d91d8a6c8e51f8b62e68888bf316896898e6d1a037412fcf16"}}