{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:MWVSIKQU6P4WAE5GNYIZWNBCV4","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":"cd7ca80c0983c6f70473dcfada6417f884c111c319e960c5aaa2e54b9e8e4638","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2005-08-29T05:49:55Z","title_canon_sha256":"1b3ecd618c5a7ea51719580525e88cc843531499c7974f060096f899c9448460"},"schema_version":"1.0","source":{"id":"math/0508554","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0508554","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"arxiv_version","alias_value":"math/0508554v3","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0508554","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"pith_short_12","alias_value":"MWVSIKQU6P4W","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"MWVSIKQU6P4WAE5G","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"MWVSIKQU","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:2b674cddc723a9d808ac27220248fc971f722a68d0e838ac72ecfa7d735eebeb","target":"graph","created_at":"2026-05-18T04:28:28Z","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 reformulate base point free theorems. Our formulation is flexible and has some important applications. One of the main purposes of this paper is to prove a generalization of the base point free theorem in Fukuda's paper: On numerically effective log canonical divisors.","authors_text":"Osamu Fujino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2005-08-29T05:49:55Z","title":"Base point free theorems--saturation, b-divisors, and canonical bundle formula--"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0508554","kind":"arxiv","version":3},"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":"sha256:4efa330a3906956df0c3c4bcb089352959920d5792a8e52bf7a916f2f370fe8d","target":"record","created_at":"2026-05-18T04:28:28Z","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":"cd7ca80c0983c6f70473dcfada6417f884c111c319e960c5aaa2e54b9e8e4638","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2005-08-29T05:49:55Z","title_canon_sha256":"1b3ecd618c5a7ea51719580525e88cc843531499c7974f060096f899c9448460"},"schema_version":"1.0","source":{"id":"math/0508554","kind":"arxiv","version":3}},"canonical_sha256":"65ab242a14f3f96013a66e119b3422af0beb52a807f1ccef6f9516286a48af11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65ab242a14f3f96013a66e119b3422af0beb52a807f1ccef6f9516286a48af11","first_computed_at":"2026-05-18T04:28:28.562233Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:28.562233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AUjB60PY1Xv+69DpbpLrBszdhrAKaZtdA0CiU/ORJzIckKEgC2rUvof0HAcuoFYUeqc8F8lqQk99d3Exb4ySBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:28.562647Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0508554","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4efa330a3906956df0c3c4bcb089352959920d5792a8e52bf7a916f2f370fe8d","sha256:2b674cddc723a9d808ac27220248fc971f722a68d0e838ac72ecfa7d735eebeb"],"state_sha256":"4021cb15679b618876afd24a5d4d59fbb3300b55aa5f10e039a5abdb4944a037"}