{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:JFQTAVI3JH2R566MIBMUBCOZXQ","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":"c1a6bb978ff414d7fff580109d66b1cf8f6ac2b7b1b718a5602e759584074dee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-05-12T17:33:00Z","title_canon_sha256":"d1882388a10dc7568267f7dfa2ea6abde7088a53e127976701422a5b7fee4f7b"},"schema_version":"1.0","source":{"id":"2005.05939","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.05939","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"arxiv_version","alias_value":"2005.05939v7","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.05939","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"pith_short_12","alias_value":"JFQTAVI3JH2R","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"pith_short_16","alias_value":"JFQTAVI3JH2R566M","created_at":"2026-07-05T07:14:02Z"},{"alias_kind":"pith_short_8","alias_value":"JFQTAVI3","created_at":"2026-07-05T07:14:02Z"}],"graph_snapshots":[{"event_id":"sha256:1c116cd08a4fc9fe5ac4275e12b8d0b0bc3d9a27b30bc8b468dcf0f474494d70","target":"graph","created_at":"2026-07-05T07:14:02Z","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/2005.05939/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $X$ be a fs logarithmic scheme that is generically logarithmically smooth, and that admits a strict closed embedding into a logarithmically smooth scheme $Y$ over a field $\\kk$ of characteristic zero. We construct a simple and fast procedure to functorial logarithmic resolution of $X$, where the end result is in particular a stack-theoretic modification $X' \\rightarrow X$ such that $X'$ is logarithmically smooth over $k$. In particular, if $X$ is a closed subscheme of a smooth $k$-scheme $Y$, the procedure not only shares the same desirable features as the 'dream resolution algorithm' of A","authors_text":"Ming Hao Quek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-05-12T17:33:00Z","title":"Logarithmic resolution via weighted toroidal blow-ups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.05939","kind":"arxiv","version":7},"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:e037b9f417838034c6bb52b60cf4c6ff9808f3156085c8cc0650c0d562e93cb2","target":"record","created_at":"2026-07-05T07:14:02Z","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":"c1a6bb978ff414d7fff580109d66b1cf8f6ac2b7b1b718a5602e759584074dee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-05-12T17:33:00Z","title_canon_sha256":"d1882388a10dc7568267f7dfa2ea6abde7088a53e127976701422a5b7fee4f7b"},"schema_version":"1.0","source":{"id":"2005.05939","kind":"arxiv","version":7}},"canonical_sha256":"496130551b49f51efbcc40594089d9bc3e57585fe7e6597230a443fd847072ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"496130551b49f51efbcc40594089d9bc3e57585fe7e6597230a443fd847072ac","first_computed_at":"2026-07-05T07:14:02.822875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:14:02.822875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BOQ6IuF/TsQWVN/SvjRxdA2r+5sqsqYHbJ/mDRWWUYClVGe1huwDFbW2JSuVOK1RdUhp0cElaZ5oI2a4HJsuCA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:14:02.823326Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.05939","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e037b9f417838034c6bb52b60cf4c6ff9808f3156085c8cc0650c0d562e93cb2","sha256:1c116cd08a4fc9fe5ac4275e12b8d0b0bc3d9a27b30bc8b468dcf0f474494d70"],"state_sha256":"6da6edbd4c4151a007dd0020c38e1b680f25528adc74fa372d8f88fcc7d8d0f4"}