{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BXYFSY6X75UUYPVKN2ONDUMU7W","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":"9588b2f838607831124656b6986281a0618a89e7baf0b06e7de1a4cf0c4ddd37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-28T19:45:50Z","title_canon_sha256":"c8bf2dcbd54ac5e132a28ea9e5ca5e021d4cfcd9bbea8f3c7cb695d93ec5a791"},"schema_version":"1.0","source":{"id":"1607.08590","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.08590","created_at":"2026-05-18T00:17:35Z"},{"alias_kind":"arxiv_version","alias_value":"1607.08590v2","created_at":"2026-05-18T00:17:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.08590","created_at":"2026-05-18T00:17:35Z"},{"alias_kind":"pith_short_12","alias_value":"BXYFSY6X75UU","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"BXYFSY6X75UUYPVK","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"BXYFSY6X","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:f03fd789abc05eec22526a50c0ea308726e4817e62743fc73c4607becf8f0b66","target":"graph","created_at":"2026-05-18T00:17:35Z","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 show that many classical results of the minimal model programme do not hold over an algebraically closed field of characteristic two. Indeed, we construct a three dimensional plt pair whose codimension one part is not normal, a three dimensional klt singularity which is not rational nor Cohen-Macaulay, and a klt Fano threefold with non-trivial intermediate cohomology.","authors_text":"Hiromu Tanaka, Paolo Cascini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-28T19:45:50Z","title":"Purely log terminal threefolds with non-normal centres in characteristic two"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.08590","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:a859a0a343e1e8c957a6cd50a5366c091e36b899b289c71d8ae1af2191e92c98","target":"record","created_at":"2026-05-18T00:17:35Z","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":"9588b2f838607831124656b6986281a0618a89e7baf0b06e7de1a4cf0c4ddd37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-28T19:45:50Z","title_canon_sha256":"c8bf2dcbd54ac5e132a28ea9e5ca5e021d4cfcd9bbea8f3c7cb695d93ec5a791"},"schema_version":"1.0","source":{"id":"1607.08590","kind":"arxiv","version":2}},"canonical_sha256":"0df05963d7ff694c3eaa6e9cd1d194fd98b8f455148b1b38ae10aacf220fe625","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0df05963d7ff694c3eaa6e9cd1d194fd98b8f455148b1b38ae10aacf220fe625","first_computed_at":"2026-05-18T00:17:35.773363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:35.773363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RA54ndSmgfI59lXqTBzaK/YrGCQXfiLviXQMN+iTP1bR34h1PPa0a54VnKVqSWmwtX8c3ymfi1cbuFeVzyFTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:35.773916Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.08590","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a859a0a343e1e8c957a6cd50a5366c091e36b899b289c71d8ae1af2191e92c98","sha256:f03fd789abc05eec22526a50c0ea308726e4817e62743fc73c4607becf8f0b66"],"state_sha256":"8844b5012aa676bb89e8e06e7ccf0b9271e7c899be62337a67e7ef2ca195693c"}