{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:TK3EFI6KPVZ2PN2PFBTEZYN7Z7","short_pith_number":"pith:TK3EFI6K","canonical_record":{"source":{"id":"1211.1567","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-07T15:02:19Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"74bbc6bfe90ce8a973c0b772a8d40706e1c76ffa9fa7ce6c3c8b4bfca1201394","abstract_canon_sha256":"db070cddc21088c49d9bbaa7c479f5ccb72e509e82003b567d62af76dd452fcd"},"schema_version":"1.0"},"canonical_sha256":"9ab642a3ca7d73a7b74f28664ce1bfcfcc64db95949220231da10b639d3d2def","source":{"kind":"arxiv","id":"1211.1567","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1567","created_at":"2026-05-18T02:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1567v2","created_at":"2026-05-18T02:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1567","created_at":"2026-05-18T02:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"TK3EFI6KPVZ2","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TK3EFI6KPVZ2PN2P","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TK3EFI6K","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:TK3EFI6KPVZ2PN2PFBTEZYN7Z7","target":"record","payload":{"canonical_record":{"source":{"id":"1211.1567","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-07T15:02:19Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"74bbc6bfe90ce8a973c0b772a8d40706e1c76ffa9fa7ce6c3c8b4bfca1201394","abstract_canon_sha256":"db070cddc21088c49d9bbaa7c479f5ccb72e509e82003b567d62af76dd452fcd"},"schema_version":"1.0"},"canonical_sha256":"9ab642a3ca7d73a7b74f28664ce1bfcfcc64db95949220231da10b639d3d2def","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:37.513546Z","signature_b64":"bDHVanAP9V3eINmMNvDtoHvEmDqOpz7NrJ+wqMCVCz7jK7nq7+attwGSY0wqM8pNZdxecEhDaho9Pdzm012nAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ab642a3ca7d73a7b74f28664ce1bfcfcc64db95949220231da10b639d3d2def","last_reissued_at":"2026-05-18T02:38:37.513035Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:37.513035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.1567","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":"2026-05-18T02:38:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"stcV1X0u6E/791dIrSUSMfLNMC9LMN4yeQgDyquNKtU2BPAZXJn2XrGa58gIW4MXj6omFHucp+iIKzlxm3pqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T02:22:17.650142Z"},"content_sha256":"5816234a844c91acd93e216c79e92137d024abdce112b75e06afe6ed422e9e7b","schema_version":"1.0","event_id":"sha256:5816234a844c91acd93e216c79e92137d024abdce112b75e06afe6ed422e9e7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:TK3EFI6KPVZ2PN2PFBTEZYN7Z7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Dolbeault dga of the formal neighborhood of the diagonal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Shilin Yu","submitted_at":"2012-11-07T15:02:19Z","abstract_excerpt":"A well-known theorem of Kapranov states that the Atiyah class of the tangent bundle $TX$ of a complex manifold $X$ makes the shifted tangent bundle $TX[-1]$ into a Lie algebra object in the derived category $D(X)$. Moreover, he showed that there is an $L_\\infty$-algebra structure on the Dolbeault resolution of $TX[-1]$ and wrote down the structure maps explicitly in the case when $X$ is K\\\"ahler. The corresponding Chevalley-Eilenberg complex is isomorphic to the Dolbeault resolution of the jet bundle $\\mathcal{J}^\\infty_X$ via the construction of the holomorphic exponential map of the K\\\"ahler"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1567","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":""},"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":"2026-05-18T02:38:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8rBvy0kyYaZdZjb5YjW5HgYGM2BaT0TlFCVMGIt7W9QDVBJNQCNCLzaXJUh+KFFW3HJ8Z9SizldI1zScs0DACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T02:22:17.650911Z"},"content_sha256":"87bc1b0d742f3ced0fd95c3e05f06e823f9ab5b298e70da8f5bb2194e91c0275","schema_version":"1.0","event_id":"sha256:87bc1b0d742f3ced0fd95c3e05f06e823f9ab5b298e70da8f5bb2194e91c0275"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TK3EFI6KPVZ2PN2PFBTEZYN7Z7/bundle.json","state_url":"https://pith.science/pith/TK3EFI6KPVZ2PN2PFBTEZYN7Z7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TK3EFI6KPVZ2PN2PFBTEZYN7Z7/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":"2026-06-12T02:22:17Z","links":{"resolver":"https://pith.science/pith/TK3EFI6KPVZ2PN2PFBTEZYN7Z7","bundle":"https://pith.science/pith/TK3EFI6KPVZ2PN2PFBTEZYN7Z7/bundle.json","state":"https://pith.science/pith/TK3EFI6KPVZ2PN2PFBTEZYN7Z7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TK3EFI6KPVZ2PN2PFBTEZYN7Z7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TK3EFI6KPVZ2PN2PFBTEZYN7Z7","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":"db070cddc21088c49d9bbaa7c479f5ccb72e509e82003b567d62af76dd452fcd","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-07T15:02:19Z","title_canon_sha256":"74bbc6bfe90ce8a973c0b772a8d40706e1c76ffa9fa7ce6c3c8b4bfca1201394"},"schema_version":"1.0","source":{"id":"1211.1567","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1567","created_at":"2026-05-18T02:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1567v2","created_at":"2026-05-18T02:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1567","created_at":"2026-05-18T02:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"TK3EFI6KPVZ2","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TK3EFI6KPVZ2PN2P","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TK3EFI6K","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:87bc1b0d742f3ced0fd95c3e05f06e823f9ab5b298e70da8f5bb2194e91c0275","target":"graph","created_at":"2026-05-18T02:38:37Z","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":"A well-known theorem of Kapranov states that the Atiyah class of the tangent bundle $TX$ of a complex manifold $X$ makes the shifted tangent bundle $TX[-1]$ into a Lie algebra object in the derived category $D(X)$. Moreover, he showed that there is an $L_\\infty$-algebra structure on the Dolbeault resolution of $TX[-1]$ and wrote down the structure maps explicitly in the case when $X$ is K\\\"ahler. The corresponding Chevalley-Eilenberg complex is isomorphic to the Dolbeault resolution of the jet bundle $\\mathcal{J}^\\infty_X$ via the construction of the holomorphic exponential map of the K\\\"ahler","authors_text":"Shilin Yu","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-07T15:02:19Z","title":"The Dolbeault dga of the formal neighborhood of the diagonal"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1567","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":"sha256:5816234a844c91acd93e216c79e92137d024abdce112b75e06afe6ed422e9e7b","target":"record","created_at":"2026-05-18T02:38:37Z","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":"db070cddc21088c49d9bbaa7c479f5ccb72e509e82003b567d62af76dd452fcd","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-07T15:02:19Z","title_canon_sha256":"74bbc6bfe90ce8a973c0b772a8d40706e1c76ffa9fa7ce6c3c8b4bfca1201394"},"schema_version":"1.0","source":{"id":"1211.1567","kind":"arxiv","version":2}},"canonical_sha256":"9ab642a3ca7d73a7b74f28664ce1bfcfcc64db95949220231da10b639d3d2def","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ab642a3ca7d73a7b74f28664ce1bfcfcc64db95949220231da10b639d3d2def","first_computed_at":"2026-05-18T02:38:37.513035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:37.513035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bDHVanAP9V3eINmMNvDtoHvEmDqOpz7NrJ+wqMCVCz7jK7nq7+attwGSY0wqM8pNZdxecEhDaho9Pdzm012nAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:37.513546Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1567","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5816234a844c91acd93e216c79e92137d024abdce112b75e06afe6ed422e9e7b","sha256:87bc1b0d742f3ced0fd95c3e05f06e823f9ab5b298e70da8f5bb2194e91c0275"],"state_sha256":"ea917b7d1054ffc5d029f1d0b0e5f5af9cb2c98388ae736a55c0a3bb2ae8ce5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+U70/vkwM3Nehwd/It3aw6sGKnEo0XMZYO3pxnl5W9GhUpFxe3qb+3xJF16JqGrX5rkFVqknilNw5Pk0TovPBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T02:22:17.655199Z","bundle_sha256":"b6819bda70871521ebf366e5836571eb08caa29d1c6bc0aa2066ab2838b2cbc6"}}