{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3ELAMXYSPFTOTG6PMAD6T2KLU7","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":"d5f0256c359bd7bfb4374ff483c4d9b6a1cf2bed775a4fd56f5d0017f4f4edd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-02T17:10:25Z","title_canon_sha256":"422e0644125f0910f15fe22ccd70741a9377a0f1fa39c7acc83280ad55c3a3a8"},"schema_version":"1.0","source":{"id":"1202.0491","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.0491","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"arxiv_version","alias_value":"1202.0491v1","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.0491","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"pith_short_12","alias_value":"3ELAMXYSPFTO","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3ELAMXYSPFTOTG6P","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3ELAMXYS","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:9790038d355235eccf3dad8472ae5689d731d9a43ce8d7482e6429f7b9cc6e3b","target":"graph","created_at":"2026-05-18T04:03:18Z","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 a result on the inversion of adjunction for log canonical pairs that generalizes Kawakita's result to log canonical centers of arbitrary codimension.","authors_text":"Christopher D. Hacon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-02T17:10:25Z","title":"On log canonical inversion of adjunction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.0491","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":"sha256:8656cd616af52e553074265e05353a75ce91fd21c35ac42b15e927e54ee98274","target":"record","created_at":"2026-05-18T04:03:18Z","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":"d5f0256c359bd7bfb4374ff483c4d9b6a1cf2bed775a4fd56f5d0017f4f4edd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-02T17:10:25Z","title_canon_sha256":"422e0644125f0910f15fe22ccd70741a9377a0f1fa39c7acc83280ad55c3a3a8"},"schema_version":"1.0","source":{"id":"1202.0491","kind":"arxiv","version":1}},"canonical_sha256":"d916065f127966e99bcf6007e9e94ba7dca8078e0792f6bc66faab33bde36214","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d916065f127966e99bcf6007e9e94ba7dca8078e0792f6bc66faab33bde36214","first_computed_at":"2026-05-18T04:03:18.040123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:18.040123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qNY+nWLCIv0D4dKXJwa5ehoWqRDMMWXTS3kW+lUTQaHQPWaoUYFjPk9EpksOkrSV+DKOG/BvfPySEuHMSbkqDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:18.040644Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.0491","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8656cd616af52e553074265e05353a75ce91fd21c35ac42b15e927e54ee98274","sha256:9790038d355235eccf3dad8472ae5689d731d9a43ce8d7482e6429f7b9cc6e3b"],"state_sha256":"4ad61ee788c678a9c2b7dee1588e23b519c4f4cc77050ea624d63afac4877f0a"}