{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:OFYP6O5O5M52BOKN2ACYJSUYQE","short_pith_number":"pith:OFYP6O5O","canonical_record":{"source":{"id":"0806.4095","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2008-06-25T13:29:09Z","cross_cats_sorted":[],"title_canon_sha256":"99abb3557a9d58933a90ab41802757ad225f7dd608339d9c419021b42e2a3622","abstract_canon_sha256":"fbc0c4b82320ec1784d7d80458c546c5c2cddb6c2fdcddbd5477e07ed7439369"},"schema_version":"1.0"},"canonical_sha256":"7170ff3baeeb3ba0b94dd00584ca988136e241c7e3d3e0d254b8c64c993ca2b9","source":{"kind":"arxiv","id":"0806.4095","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.4095","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"arxiv_version","alias_value":"0806.4095v2","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.4095","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"pith_short_12","alias_value":"OFYP6O5O5M52","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"OFYP6O5O5M52BOKN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"OFYP6O5O","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:OFYP6O5O5M52BOKN2ACYJSUYQE","target":"record","payload":{"canonical_record":{"source":{"id":"0806.4095","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2008-06-25T13:29:09Z","cross_cats_sorted":[],"title_canon_sha256":"99abb3557a9d58933a90ab41802757ad225f7dd608339d9c419021b42e2a3622","abstract_canon_sha256":"fbc0c4b82320ec1784d7d80458c546c5c2cddb6c2fdcddbd5477e07ed7439369"},"schema_version":"1.0"},"canonical_sha256":"7170ff3baeeb3ba0b94dd00584ca988136e241c7e3d3e0d254b8c64c993ca2b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:18.560659Z","signature_b64":"HvmnWj6F5cdQIF1nf/0TwZgmcAxLHTMIrFY6fUz5EOY/71AA3l+hIPj5YTXy6/XyDV4c8iMbWYsCzbc1snJFCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7170ff3baeeb3ba0b94dd00584ca988136e241c7e3d3e0d254b8c64c993ca2b9","last_reissued_at":"2026-05-18T03:02:18.559781Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:18.559781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.4095","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":"2026-05-18T03:02:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YOhWPD+TXgm3LFj0VkSRdOr8Tb06IEiEMLho05Pr3SedkwUzxWQ+UGE5lxGkC9tJZ7IyarMgBUkkPrjqcyA6CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T07:16:54.569349Z"},"content_sha256":"39acf912551f02a9d2f4356ec5be69aef131a75d5cdd15b536f01370db89df89","schema_version":"1.0","event_id":"sha256:39acf912551f02a9d2f4356ec5be69aef131a75d5cdd15b536f01370db89df89"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:OFYP6O5O5M52BOKN2ACYJSUYQE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formality of cyclic cochains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Damien Calaque, Thomas Willwacher","submitted_at":"2008-06-25T13:29:09Z","abstract_excerpt":"We prove Kontsevich's cyclic formality conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.4095","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":"2026-05-18T03:02:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lcqrj2I1wCiTu3fJhZ64l3bqaZmppLRNbkA/AvzIaRF5uvvl+6J671WxVeHiQCn49+pGQHybrTy0io8pOEGPCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T07:16:54.569699Z"},"content_sha256":"0b21f737842355f384f6482132db8a02206f2ab77f33a2ea9076a3ab403190f4","schema_version":"1.0","event_id":"sha256:0b21f737842355f384f6482132db8a02206f2ab77f33a2ea9076a3ab403190f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OFYP6O5O5M52BOKN2ACYJSUYQE/bundle.json","state_url":"https://pith.science/pith/OFYP6O5O5M52BOKN2ACYJSUYQE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OFYP6O5O5M52BOKN2ACYJSUYQE/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":"2026-06-02T07:16:54Z","links":{"resolver":"https://pith.science/pith/OFYP6O5O5M52BOKN2ACYJSUYQE","bundle":"https://pith.science/pith/OFYP6O5O5M52BOKN2ACYJSUYQE/bundle.json","state":"https://pith.science/pith/OFYP6O5O5M52BOKN2ACYJSUYQE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OFYP6O5O5M52BOKN2ACYJSUYQE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:OFYP6O5O5M52BOKN2ACYJSUYQE","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":"fbc0c4b82320ec1784d7d80458c546c5c2cddb6c2fdcddbd5477e07ed7439369","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2008-06-25T13:29:09Z","title_canon_sha256":"99abb3557a9d58933a90ab41802757ad225f7dd608339d9c419021b42e2a3622"},"schema_version":"1.0","source":{"id":"0806.4095","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.4095","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"arxiv_version","alias_value":"0806.4095v2","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.4095","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"pith_short_12","alias_value":"OFYP6O5O5M52","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"OFYP6O5O5M52BOKN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"OFYP6O5O","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:0b21f737842355f384f6482132db8a02206f2ab77f33a2ea9076a3ab403190f4","target":"graph","created_at":"2026-05-18T03:02:18Z","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 prove Kontsevich's cyclic formality conjecture.","authors_text":"Damien Calaque, Thomas Willwacher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2008-06-25T13:29:09Z","title":"Formality of cyclic cochains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.4095","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":"sha256:39acf912551f02a9d2f4356ec5be69aef131a75d5cdd15b536f01370db89df89","target":"record","created_at":"2026-05-18T03:02:18Z","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":"fbc0c4b82320ec1784d7d80458c546c5c2cddb6c2fdcddbd5477e07ed7439369","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2008-06-25T13:29:09Z","title_canon_sha256":"99abb3557a9d58933a90ab41802757ad225f7dd608339d9c419021b42e2a3622"},"schema_version":"1.0","source":{"id":"0806.4095","kind":"arxiv","version":2}},"canonical_sha256":"7170ff3baeeb3ba0b94dd00584ca988136e241c7e3d3e0d254b8c64c993ca2b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7170ff3baeeb3ba0b94dd00584ca988136e241c7e3d3e0d254b8c64c993ca2b9","first_computed_at":"2026-05-18T03:02:18.559781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:18.559781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HvmnWj6F5cdQIF1nf/0TwZgmcAxLHTMIrFY6fUz5EOY/71AA3l+hIPj5YTXy6/XyDV4c8iMbWYsCzbc1snJFCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:18.560659Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.4095","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39acf912551f02a9d2f4356ec5be69aef131a75d5cdd15b536f01370db89df89","sha256:0b21f737842355f384f6482132db8a02206f2ab77f33a2ea9076a3ab403190f4"],"state_sha256":"5d07b4896eedf8e5b248162d9864bc574c00d71dbeb9d0c6b8d2edb2420ad8d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RBygHA2I16LL/bVMThzfqtToqod0S0GuERfeIPbx21RmR09pEhYe8zU360F1tXX0Ol2oe+DH9CDdKA97npb1BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T07:16:54.571600Z","bundle_sha256":"b53065e4a022b6db03e09a21465ce8849c287cd95b6afc44a0d0be34ef2f8bb0"}}