{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:VHDFGRS4SPI6QE645K2OFMYBQE","short_pith_number":"pith:VHDFGRS4","schema_version":"1.0","canonical_sha256":"a9c653465c93d1e813dceab4e2b30181059bac85add79ce62ec4e8b707d62453","source":{"kind":"arxiv","id":"1106.0207","version":1},"attestation_state":"computed","paper":{"title":"Log canonical thresholds, F-pure thresholds, and non-standard extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Bhargav Bhatt, Daniel J. Hernandez, Lance E. Miller, Mircea Mustata","submitted_at":"2011-06-01T15:30:29Z","abstract_excerpt":"We present a new relation between an invariant of singularities in characteristic zero (the log canonical threshold) and an invariant of singularities defined via the Frobenius morphism in positive characteristic (the F-pure threshold). We show that the set of limit points of sequences of the form (c_p), where c_p is the F-pure threshold of an ideal on an n-dimensional smooth variety in characteristic p, coincides with the set of log canonical thresholds of ideals on n-dimensional smooth varieties in characteristic zero. We prove this by combining results of Hara and Yoshida with non-standard "},"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":"1106.0207","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-01T15:30:29Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"38382d2eb3f1806bf8bcdcb0ac26cec0d34d1bef5b9326d802a4fa1e408fbec1","abstract_canon_sha256":"3597e46e14f56cd265e31762a301f14b7828090e5b2d644c38cbc2a340e1d3a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:51.968451Z","signature_b64":"HLJzSeAd/eA9XfzZ1eLiqR5QHnZOyiaCFLHCa4VfbGnYwSLBeGZrSWPNjgmsKatIDkqaz8lMLeUbcAuZNk9ADQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9c653465c93d1e813dceab4e2b30181059bac85add79ce62ec4e8b707d62453","last_reissued_at":"2026-05-18T04:20:51.967779Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:51.967779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Log canonical thresholds, F-pure thresholds, and non-standard extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Bhargav Bhatt, Daniel J. Hernandez, Lance E. Miller, Mircea Mustata","submitted_at":"2011-06-01T15:30:29Z","abstract_excerpt":"We present a new relation between an invariant of singularities in characteristic zero (the log canonical threshold) and an invariant of singularities defined via the Frobenius morphism in positive characteristic (the F-pure threshold). We show that the set of limit points of sequences of the form (c_p), where c_p is the F-pure threshold of an ideal on an n-dimensional smooth variety in characteristic p, coincides with the set of log canonical thresholds of ideals on n-dimensional smooth varieties in characteristic zero. We prove this by combining results of Hara and Yoshida with non-standard "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.0207","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":"1106.0207","created_at":"2026-05-18T04:20:51.967889+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.0207v1","created_at":"2026-05-18T04:20:51.967889+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.0207","created_at":"2026-05-18T04:20:51.967889+00:00"},{"alias_kind":"pith_short_12","alias_value":"VHDFGRS4SPI6","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"VHDFGRS4SPI6QE64","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"VHDFGRS4","created_at":"2026-05-18T12:26:44.992195+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/VHDFGRS4SPI6QE645K2OFMYBQE","json":"https://pith.science/pith/VHDFGRS4SPI6QE645K2OFMYBQE.json","graph_json":"https://pith.science/api/pith-number/VHDFGRS4SPI6QE645K2OFMYBQE/graph.json","events_json":"https://pith.science/api/pith-number/VHDFGRS4SPI6QE645K2OFMYBQE/events.json","paper":"https://pith.science/paper/VHDFGRS4"},"agent_actions":{"view_html":"https://pith.science/pith/VHDFGRS4SPI6QE645K2OFMYBQE","download_json":"https://pith.science/pith/VHDFGRS4SPI6QE645K2OFMYBQE.json","view_paper":"https://pith.science/paper/VHDFGRS4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.0207&json=true","fetch_graph":"https://pith.science/api/pith-number/VHDFGRS4SPI6QE645K2OFMYBQE/graph.json","fetch_events":"https://pith.science/api/pith-number/VHDFGRS4SPI6QE645K2OFMYBQE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VHDFGRS4SPI6QE645K2OFMYBQE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VHDFGRS4SPI6QE645K2OFMYBQE/action/storage_attestation","attest_author":"https://pith.science/pith/VHDFGRS4SPI6QE645K2OFMYBQE/action/author_attestation","sign_citation":"https://pith.science/pith/VHDFGRS4SPI6QE645K2OFMYBQE/action/citation_signature","submit_replication":"https://pith.science/pith/VHDFGRS4SPI6QE645K2OFMYBQE/action/replication_record"}},"created_at":"2026-05-18T04:20:51.967889+00:00","updated_at":"2026-05-18T04:20:51.967889+00:00"}