{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OOMGQPOL2XGARZOAVJZ5S63FCX","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":"de3b29806b3a1832abdcbba27edfc3a772fc03afe96f2f5d4e736c1b812dfb8a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-02-07T05:37:11Z","title_canon_sha256":"fe163b086a59e3d7e1f1d62aebe8f359be72338eeb70f7f735dd988209c01954"},"schema_version":"1.0","source":{"id":"2402.04595","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.04595","created_at":"2026-07-05T07:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"2402.04595v2","created_at":"2026-07-05T07:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.04595","created_at":"2026-07-05T07:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"OOMGQPOL2XGA","created_at":"2026-07-05T07:59:04Z"},{"alias_kind":"pith_short_16","alias_value":"OOMGQPOL2XGARZOA","created_at":"2026-07-05T07:59:04Z"},{"alias_kind":"pith_short_8","alias_value":"OOMGQPOL","created_at":"2026-07-05T07:59:04Z"}],"graph_snapshots":[{"event_id":"sha256:8b9a7e3d532cbbb681cdea6dbb2e48c4d588a3615daf82f920aa97d958b68d88","target":"graph","created_at":"2026-07-05T07:59:04Z","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/2402.04595/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss Iitaka's theory of quasi-Albanese maps in details. We also give a detailed proof of Kawamata's theorem on the quasi-Albanese maps for varieties of the logarithmic Kodaira dimension zero. Note that Iitaka's theory is an application of Deligne's mixed Hodge theory for smooth algebraic varieties.","authors_text":"Osamu Fujino","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-02-07T05:37:11Z","title":"On quasi-Albanese maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.04595","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":"sha256:1e27438f25e436b538e8cd0d5fca0c5b7d2d76e5aa2e329c94c76519668653ff","target":"record","created_at":"2026-07-05T07:59:04Z","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":"de3b29806b3a1832abdcbba27edfc3a772fc03afe96f2f5d4e736c1b812dfb8a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-02-07T05:37:11Z","title_canon_sha256":"fe163b086a59e3d7e1f1d62aebe8f359be72338eeb70f7f735dd988209c01954"},"schema_version":"1.0","source":{"id":"2402.04595","kind":"arxiv","version":2}},"canonical_sha256":"7398683dcbd5cc08e5c0aa73d97b6515dc3d4c9fdab41ab10e623296d5e6cf81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7398683dcbd5cc08e5c0aa73d97b6515dc3d4c9fdab41ab10e623296d5e6cf81","first_computed_at":"2026-07-05T07:59:04.966592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:59:04.966592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QJBP0HB4QdubmLm/W7mbydupYCXhowwCygZaC5b80JZtIKAWvccjTIINsHC/2z/MsoawMWeVxKX4hMt37LNXCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:59:04.966995Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.04595","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e27438f25e436b538e8cd0d5fca0c5b7d2d76e5aa2e329c94c76519668653ff","sha256:8b9a7e3d532cbbb681cdea6dbb2e48c4d588a3615daf82f920aa97d958b68d88"],"state_sha256":"568c8976c4751f0b033911c38de5c1eb141187bf234d57c8540e4c8647d34373"}