{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:YC62EE23JBHBRXSA7ET7PLAV5H","short_pith_number":"pith:YC62EE23","schema_version":"1.0","canonical_sha256":"c0bda2135b484e18de40f927f7ac15e9d71ecf6a1fe405054927ba021cb32142","source":{"kind":"arxiv","id":"1112.0802","version":2},"attestation_state":"computed","paper":{"title":"Twisted Galois stratification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.AG","authors_text":"Ivan Tomasic","submitted_at":"2011-12-04T22:40:33Z","abstract_excerpt":"We prove a direct image theorem stating that the direct image of a Galois formula by a morphism of difference schemes is equivalent to a Galois formula over fields with powers of Frobenius. As a consequence, we obtain an effective quantifier elimination procedure and a precise algebraic-geometric description of definable sets over fields with Frobenii in terms of twisted Galois formulae associated with finite Galois covers of difference schemes."},"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":"1112.0802","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-04T22:40:33Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"6ff35ba53d1198bdf53df648d5c3df8c5926b188223c3b841eeeab6d7646931e","abstract_canon_sha256":"ad3693300cdf15d098b718fa0b0b541311ece968b90a277ebe9539d44f3c8702"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:18.517054Z","signature_b64":"ILJOQ83QTLpcbLGDNvCz1cdxNPgjc5PPVoQ7HUrxkAH8OiDYctN10YzKQzp1QWQP5dgJx4lvBOg8bRUQ4AicBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0bda2135b484e18de40f927f7ac15e9d71ecf6a1fe405054927ba021cb32142","last_reissued_at":"2026-05-18T03:43:18.516267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:18.516267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twisted Galois stratification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.AG","authors_text":"Ivan Tomasic","submitted_at":"2011-12-04T22:40:33Z","abstract_excerpt":"We prove a direct image theorem stating that the direct image of a Galois formula by a morphism of difference schemes is equivalent to a Galois formula over fields with powers of Frobenius. As a consequence, we obtain an effective quantifier elimination procedure and a precise algebraic-geometric description of definable sets over fields with Frobenii in terms of twisted Galois formulae associated with finite Galois covers of difference schemes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0802","kind":"arxiv","version":2},"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":"1112.0802","created_at":"2026-05-18T03:43:18.516542+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.0802v2","created_at":"2026-05-18T03:43:18.516542+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.0802","created_at":"2026-05-18T03:43:18.516542+00:00"},{"alias_kind":"pith_short_12","alias_value":"YC62EE23JBHB","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"YC62EE23JBHBRXSA","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"YC62EE23","created_at":"2026-05-18T12:26:47.523578+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/YC62EE23JBHBRXSA7ET7PLAV5H","json":"https://pith.science/pith/YC62EE23JBHBRXSA7ET7PLAV5H.json","graph_json":"https://pith.science/api/pith-number/YC62EE23JBHBRXSA7ET7PLAV5H/graph.json","events_json":"https://pith.science/api/pith-number/YC62EE23JBHBRXSA7ET7PLAV5H/events.json","paper":"https://pith.science/paper/YC62EE23"},"agent_actions":{"view_html":"https://pith.science/pith/YC62EE23JBHBRXSA7ET7PLAV5H","download_json":"https://pith.science/pith/YC62EE23JBHBRXSA7ET7PLAV5H.json","view_paper":"https://pith.science/paper/YC62EE23","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.0802&json=true","fetch_graph":"https://pith.science/api/pith-number/YC62EE23JBHBRXSA7ET7PLAV5H/graph.json","fetch_events":"https://pith.science/api/pith-number/YC62EE23JBHBRXSA7ET7PLAV5H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YC62EE23JBHBRXSA7ET7PLAV5H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YC62EE23JBHBRXSA7ET7PLAV5H/action/storage_attestation","attest_author":"https://pith.science/pith/YC62EE23JBHBRXSA7ET7PLAV5H/action/author_attestation","sign_citation":"https://pith.science/pith/YC62EE23JBHBRXSA7ET7PLAV5H/action/citation_signature","submit_replication":"https://pith.science/pith/YC62EE23JBHBRXSA7ET7PLAV5H/action/replication_record"}},"created_at":"2026-05-18T03:43:18.516542+00:00","updated_at":"2026-05-18T03:43:18.516542+00:00"}