{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:TAMSXQJ5TLEDJPITCMSJO5U46R","short_pith_number":"pith:TAMSXQJ5","schema_version":"1.0","canonical_sha256":"98192bc13d9ac834bd13132497769cf44c6eea9e01816e71e18b8a79a74c83f7","source":{"kind":"arxiv","id":"1709.03185","version":1},"attestation_state":"computed","paper":{"title":"Principalization of ideals on toroidal orbifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dan Abramovich, Jaros{\\l}aw W{\\l}odarczyk, Michael Temkin","submitted_at":"2017-09-10T21:50:42Z","abstract_excerpt":"Given an ideal $\\mathcal I$ on a variety $X$ with toroidal singularities, we produce a modification $X' \\to X$, functorial for toroidal morphisms, making the ideal monomial on a toroidal stack $X'$. We do this by adapting the methods of [W{\\l}o05], discarding steps which become redundant.\n  We deduce functorial resolution of singularities for varieties with logarithmic structures. This is the first step in our program to apply logarithmic desingularization to a morphism $Z \\to B$, aiming to prove functorial semistable reduction theorems."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1709.03185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-09-10T21:50:42Z","cross_cats_sorted":[],"title_canon_sha256":"0acf7a71d14aa3b82574cd535f5f0788422c35419a183a50eb31b84bcf9f6925","abstract_canon_sha256":"955310d653dba5967ed9433e9f38f1c9cab00e526d5b576cdd1c19e5900aebf2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:39.111586Z","signature_b64":"rNFAZMPIRhCYO81TqFSRFl/ihW7ZVWYs7iUZu3Gla+p7/MAOJ+LJgAzv8zZzRTMebquHkp4HP31HozfC6mWcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98192bc13d9ac834bd13132497769cf44c6eea9e01816e71e18b8a79a74c83f7","last_reissued_at":"2026-05-18T00:35:39.111094Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:39.111094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Principalization of ideals on toroidal orbifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dan Abramovich, Jaros{\\l}aw W{\\l}odarczyk, Michael Temkin","submitted_at":"2017-09-10T21:50:42Z","abstract_excerpt":"Given an ideal $\\mathcal I$ on a variety $X$ with toroidal singularities, we produce a modification $X' \\to X$, functorial for toroidal morphisms, making the ideal monomial on a toroidal stack $X'$. We do this by adapting the methods of [W{\\l}o05], discarding steps which become redundant.\n  We deduce functorial resolution of singularities for varieties with logarithmic structures. This is the first step in our program to apply logarithmic desingularization to a morphism $Z \\to B$, aiming to prove functorial semistable reduction theorems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03185","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1709.03185","created_at":"2026-05-18T00:35:39.111169+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.03185v1","created_at":"2026-05-18T00:35:39.111169+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03185","created_at":"2026-05-18T00:35:39.111169+00:00"},{"alias_kind":"pith_short_12","alias_value":"TAMSXQJ5TLED","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"TAMSXQJ5TLEDJPIT","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"TAMSXQJ5","created_at":"2026-05-18T12:31:43.269735+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TAMSXQJ5TLEDJPITCMSJO5U46R","json":"https://pith.science/pith/TAMSXQJ5TLEDJPITCMSJO5U46R.json","graph_json":"https://pith.science/api/pith-number/TAMSXQJ5TLEDJPITCMSJO5U46R/graph.json","events_json":"https://pith.science/api/pith-number/TAMSXQJ5TLEDJPITCMSJO5U46R/events.json","paper":"https://pith.science/paper/TAMSXQJ5"},"agent_actions":{"view_html":"https://pith.science/pith/TAMSXQJ5TLEDJPITCMSJO5U46R","download_json":"https://pith.science/pith/TAMSXQJ5TLEDJPITCMSJO5U46R.json","view_paper":"https://pith.science/paper/TAMSXQJ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.03185&json=true","fetch_graph":"https://pith.science/api/pith-number/TAMSXQJ5TLEDJPITCMSJO5U46R/graph.json","fetch_events":"https://pith.science/api/pith-number/TAMSXQJ5TLEDJPITCMSJO5U46R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TAMSXQJ5TLEDJPITCMSJO5U46R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TAMSXQJ5TLEDJPITCMSJO5U46R/action/storage_attestation","attest_author":"https://pith.science/pith/TAMSXQJ5TLEDJPITCMSJO5U46R/action/author_attestation","sign_citation":"https://pith.science/pith/TAMSXQJ5TLEDJPITCMSJO5U46R/action/citation_signature","submit_replication":"https://pith.science/pith/TAMSXQJ5TLEDJPITCMSJO5U46R/action/replication_record"}},"created_at":"2026-05-18T00:35:39.111169+00:00","updated_at":"2026-05-18T00:35:39.111169+00:00"}