{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7FMPTUISPJLNIUJGWRZNEJDHCQ","short_pith_number":"pith:7FMPTUIS","canonical_record":{"source":{"id":"1302.0078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-01T05:18:00Z","cross_cats_sorted":[],"title_canon_sha256":"1113e4dd4952428e0108b7d7409f805f06ed6fd0094d979d72fbd080675349c5","abstract_canon_sha256":"303415a6ad2822e4c04e89b5559676a30038ad6fd2bd9abb024d278d9f93d852"},"schema_version":"1.0"},"canonical_sha256":"f958f9d1127a56d45126b472d22467140b0c179f698ea63583a3f3a4d381eefc","source":{"kind":"arxiv","id":"1302.0078","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0078","created_at":"2026-05-18T03:34:47Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0078v1","created_at":"2026-05-18T03:34:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0078","created_at":"2026-05-18T03:34:47Z"},{"alias_kind":"pith_short_12","alias_value":"7FMPTUISPJLN","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7FMPTUISPJLNIUJG","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7FMPTUIS","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7FMPTUISPJLNIUJGWRZNEJDHCQ","target":"record","payload":{"canonical_record":{"source":{"id":"1302.0078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-01T05:18:00Z","cross_cats_sorted":[],"title_canon_sha256":"1113e4dd4952428e0108b7d7409f805f06ed6fd0094d979d72fbd080675349c5","abstract_canon_sha256":"303415a6ad2822e4c04e89b5559676a30038ad6fd2bd9abb024d278d9f93d852"},"schema_version":"1.0"},"canonical_sha256":"f958f9d1127a56d45126b472d22467140b0c179f698ea63583a3f3a4d381eefc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:47.535981Z","signature_b64":"GjOYyEqvcGzMltG0I4nIcC6qVbaMDxlGZvU7S94MxcaDnn+loNG2Y7+7Tou97lqq3Tnk3nQ3u6re32ee8jkzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f958f9d1127a56d45126b472d22467140b0c179f698ea63583a3f3a4d381eefc","last_reissued_at":"2026-05-18T03:34:47.535257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:47.535257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.0078","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:34:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cWjUbhfi6GRhPRlMzVEJsObfUnVWsJRRWoTRLtg/QYb+C/Om2/6GR0FehY2MijmJorTrzZudyqy/oMPDC1fwAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:25:30.718047Z"},"content_sha256":"245d9e4952c193fdf653b578ca801e927e597ff85eca1514ac50176ed6cc4ebb","schema_version":"1.0","event_id":"sha256:245d9e4952c193fdf653b578ca801e927e597ff85eca1514ac50176ed6cc4ebb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7FMPTUISPJLNIUJGWRZNEJDHCQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A supplement to Fujino's paper: On isolated log canonical singularities with index one","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Shihoko Ishii","submitted_at":"2013-02-01T05:18:00Z","abstract_excerpt":"Let $E$ be the essential part of the exceptional locus of a good resolution of an isolated, log canonical singularity of index one. We describe the dimension of the dual complex of $E$ in terms of the Hodge type of $H^{n-1}(E, O_E)$, which is one of the main results of the paper [1] of Fujino. Our proof uses only an elementary classical method, while Fujino's argument depends on the recent development in minimal model theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0078","kind":"arxiv","version":1},"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":"2026-05-18T03:34:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cZZZIK1qe3GbWTs1UcYoIV/vhbv1vZ4HSs6Kqk+a7FzkXEfe/AZPadSpGLVxThjNWFWHvZeqKaX9zYCfr0xHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:25:30.718396Z"},"content_sha256":"821b9f3dab3b7b487bf12185a2aeef06bddea39d738c2bdc96fa5116a68916ee","schema_version":"1.0","event_id":"sha256:821b9f3dab3b7b487bf12185a2aeef06bddea39d738c2bdc96fa5116a68916ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7FMPTUISPJLNIUJGWRZNEJDHCQ/bundle.json","state_url":"https://pith.science/pith/7FMPTUISPJLNIUJGWRZNEJDHCQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7FMPTUISPJLNIUJGWRZNEJDHCQ/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":"2026-06-01T08:25:30Z","links":{"resolver":"https://pith.science/pith/7FMPTUISPJLNIUJGWRZNEJDHCQ","bundle":"https://pith.science/pith/7FMPTUISPJLNIUJGWRZNEJDHCQ/bundle.json","state":"https://pith.science/pith/7FMPTUISPJLNIUJGWRZNEJDHCQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7FMPTUISPJLNIUJGWRZNEJDHCQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7FMPTUISPJLNIUJGWRZNEJDHCQ","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":"303415a6ad2822e4c04e89b5559676a30038ad6fd2bd9abb024d278d9f93d852","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-01T05:18:00Z","title_canon_sha256":"1113e4dd4952428e0108b7d7409f805f06ed6fd0094d979d72fbd080675349c5"},"schema_version":"1.0","source":{"id":"1302.0078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0078","created_at":"2026-05-18T03:34:47Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0078v1","created_at":"2026-05-18T03:34:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0078","created_at":"2026-05-18T03:34:47Z"},{"alias_kind":"pith_short_12","alias_value":"7FMPTUISPJLN","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7FMPTUISPJLNIUJG","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7FMPTUIS","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:821b9f3dab3b7b487bf12185a2aeef06bddea39d738c2bdc96fa5116a68916ee","target":"graph","created_at":"2026-05-18T03:34:47Z","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":"Let $E$ be the essential part of the exceptional locus of a good resolution of an isolated, log canonical singularity of index one. We describe the dimension of the dual complex of $E$ in terms of the Hodge type of $H^{n-1}(E, O_E)$, which is one of the main results of the paper [1] of Fujino. Our proof uses only an elementary classical method, while Fujino's argument depends on the recent development in minimal model theory.","authors_text":"Shihoko Ishii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-01T05:18:00Z","title":"A supplement to Fujino's paper: On isolated log canonical singularities with index one"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0078","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":"sha256:245d9e4952c193fdf653b578ca801e927e597ff85eca1514ac50176ed6cc4ebb","target":"record","created_at":"2026-05-18T03:34:47Z","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":"303415a6ad2822e4c04e89b5559676a30038ad6fd2bd9abb024d278d9f93d852","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-01T05:18:00Z","title_canon_sha256":"1113e4dd4952428e0108b7d7409f805f06ed6fd0094d979d72fbd080675349c5"},"schema_version":"1.0","source":{"id":"1302.0078","kind":"arxiv","version":1}},"canonical_sha256":"f958f9d1127a56d45126b472d22467140b0c179f698ea63583a3f3a4d381eefc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f958f9d1127a56d45126b472d22467140b0c179f698ea63583a3f3a4d381eefc","first_computed_at":"2026-05-18T03:34:47.535257Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:47.535257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GjOYyEqvcGzMltG0I4nIcC6qVbaMDxlGZvU7S94MxcaDnn+loNG2Y7+7Tou97lqq3Tnk3nQ3u6re32ee8jkzDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:47.535981Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:245d9e4952c193fdf653b578ca801e927e597ff85eca1514ac50176ed6cc4ebb","sha256:821b9f3dab3b7b487bf12185a2aeef06bddea39d738c2bdc96fa5116a68916ee"],"state_sha256":"852b0b68b7c1a76a9e5cc080e7a43fafd5fcc4ba9a67f819abb5f70070c120f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nmafonPteuKxwqsMJjulI8xPiWFwI+MZ2MyjgMZfaNkeCelbzoRBWwZclweFiU9xHTzG+TZN9oy+Q2MoYp4KDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T08:25:30.720388Z","bundle_sha256":"93b2be4ff3577a95e1ecb340b3c56437410235a1fdfffd1ff02fd28b2666afbf"}}