{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SIUZFR6FSGVRHLEV4UTBYLE6UT","short_pith_number":"pith:SIUZFR6F","canonical_record":{"source":{"id":"1202.5365","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-24T02:14:24Z","cross_cats_sorted":[],"title_canon_sha256":"8b3b49acc305c586d70f3830f6b67ec645429481475f2addbbe642def832786e","abstract_canon_sha256":"5ef61c86abae4509ef4cb5f80a39bc83064560c6cd4d3c15e013c0c3e987712f"},"schema_version":"1.0"},"canonical_sha256":"922992c7c591ab13ac95e5261c2c9ea4e0112903e4718cdaba4c49fae1bee436","source":{"kind":"arxiv","id":"1202.5365","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5365","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5365v6","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5365","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"pith_short_12","alias_value":"SIUZFR6FSGVR","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SIUZFR6FSGVRHLEV","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SIUZFR6F","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SIUZFR6FSGVRHLEV4UTBYLE6UT","target":"record","payload":{"canonical_record":{"source":{"id":"1202.5365","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-24T02:14:24Z","cross_cats_sorted":[],"title_canon_sha256":"8b3b49acc305c586d70f3830f6b67ec645429481475f2addbbe642def832786e","abstract_canon_sha256":"5ef61c86abae4509ef4cb5f80a39bc83064560c6cd4d3c15e013c0c3e987712f"},"schema_version":"1.0"},"canonical_sha256":"922992c7c591ab13ac95e5261c2c9ea4e0112903e4718cdaba4c49fae1bee436","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:47.762178Z","signature_b64":"v13nBBdi88PpbBFyo2LIP/57GS1kye8yJq3PlH6rtjThwRbSWtJYPjMXoJoNZTRDrtuoneKcr2pPlR6uWzKmAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"922992c7c591ab13ac95e5261c2c9ea4e0112903e4718cdaba4c49fae1bee436","last_reissued_at":"2026-05-18T03:08:47.761522Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:47.761522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.5365","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:08:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LKa625vEPhw5ZBxWbLOQk1d5Tpd6uZ4O4q/w1VbieGZ1mryMfCntaVEiznwUO01iCXaRi9vOGdvHqrKsdMx5CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T11:55:01.248492Z"},"content_sha256":"8c4d675bb48c6de4c6cb0411a524c1dfee71dc0ad839b51e06564610106f940b","schema_version":"1.0","event_id":"sha256:8c4d675bb48c6de4c6cb0411a524c1dfee71dc0ad839b51e06564610106f940b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SIUZFR6FSGVRHLEV4UTBYLE6UT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fundamental theorems for semi log canonical pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Osamu Fujino","submitted_at":"2012-02-24T02:14:24Z","abstract_excerpt":"We prove that every quasi-projective semi log canonical pair has a quasi-log structure with several good properties. It implies that various vanishing theorems, torsion-free theorem, and the cone and contraction theorem hold for semi log canonical pairs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5365","kind":"arxiv","version":6},"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":"2026-05-18T03:08:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q4SlZbZiD888BwRYnkTgbBpCYi9ErEl7/PuOQuDwU8YWLFwe/c5kgVjKGStALSv5xzxzleb+oMc5KeFHUXHeDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T11:55:01.248833Z"},"content_sha256":"e6a25a149a3e23f8469424b0c16c842a48575eff5c723c76e7c66c7fefc3f7d4","schema_version":"1.0","event_id":"sha256:e6a25a149a3e23f8469424b0c16c842a48575eff5c723c76e7c66c7fefc3f7d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SIUZFR6FSGVRHLEV4UTBYLE6UT/bundle.json","state_url":"https://pith.science/pith/SIUZFR6FSGVRHLEV4UTBYLE6UT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SIUZFR6FSGVRHLEV4UTBYLE6UT/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":"2026-06-29T11:55:01Z","links":{"resolver":"https://pith.science/pith/SIUZFR6FSGVRHLEV4UTBYLE6UT","bundle":"https://pith.science/pith/SIUZFR6FSGVRHLEV4UTBYLE6UT/bundle.json","state":"https://pith.science/pith/SIUZFR6FSGVRHLEV4UTBYLE6UT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SIUZFR6FSGVRHLEV4UTBYLE6UT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SIUZFR6FSGVRHLEV4UTBYLE6UT","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":"5ef61c86abae4509ef4cb5f80a39bc83064560c6cd4d3c15e013c0c3e987712f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-24T02:14:24Z","title_canon_sha256":"8b3b49acc305c586d70f3830f6b67ec645429481475f2addbbe642def832786e"},"schema_version":"1.0","source":{"id":"1202.5365","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5365","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5365v6","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5365","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"pith_short_12","alias_value":"SIUZFR6FSGVR","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SIUZFR6FSGVRHLEV","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SIUZFR6F","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:e6a25a149a3e23f8469424b0c16c842a48575eff5c723c76e7c66c7fefc3f7d4","target":"graph","created_at":"2026-05-18T03:08:47Z","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 that every quasi-projective semi log canonical pair has a quasi-log structure with several good properties. It implies that various vanishing theorems, torsion-free theorem, and the cone and contraction theorem hold for semi log canonical pairs.","authors_text":"Osamu Fujino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-24T02:14:24Z","title":"Fundamental theorems for semi log canonical pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5365","kind":"arxiv","version":6},"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":"sha256:8c4d675bb48c6de4c6cb0411a524c1dfee71dc0ad839b51e06564610106f940b","target":"record","created_at":"2026-05-18T03:08:47Z","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":"5ef61c86abae4509ef4cb5f80a39bc83064560c6cd4d3c15e013c0c3e987712f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-24T02:14:24Z","title_canon_sha256":"8b3b49acc305c586d70f3830f6b67ec645429481475f2addbbe642def832786e"},"schema_version":"1.0","source":{"id":"1202.5365","kind":"arxiv","version":6}},"canonical_sha256":"922992c7c591ab13ac95e5261c2c9ea4e0112903e4718cdaba4c49fae1bee436","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"922992c7c591ab13ac95e5261c2c9ea4e0112903e4718cdaba4c49fae1bee436","first_computed_at":"2026-05-18T03:08:47.761522Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:47.761522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v13nBBdi88PpbBFyo2LIP/57GS1kye8yJq3PlH6rtjThwRbSWtJYPjMXoJoNZTRDrtuoneKcr2pPlR6uWzKmAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:47.762178Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5365","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c4d675bb48c6de4c6cb0411a524c1dfee71dc0ad839b51e06564610106f940b","sha256:e6a25a149a3e23f8469424b0c16c842a48575eff5c723c76e7c66c7fefc3f7d4"],"state_sha256":"2b75ed90b376a1b212679f31f6df5830a30554742eaee8a523b8396591a65daf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZM5qI5Xu8gquo2gIIGyGDkNs4AcYM/DATIkfiX6y69pJr2WA1O/AOiDgIQKwqLiPg9gGae4qjpPpf+3KUs+HBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T11:55:01.250700Z","bundle_sha256":"be46d4294b8cec6b8a0dd371a6bdf5a8e5934ac5e2dbbcd8daa3928302e58692"}}