{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VBSOIWIFJLYGJ2DNG67PS6MEHN","short_pith_number":"pith:VBSOIWIF","schema_version":"1.0","canonical_sha256":"a864e459054af064e86d37bef979843b70780ad70042cbee2fc823331652ba7f","source":{"kind":"arxiv","id":"1402.1951","version":3},"attestation_state":"computed","paper":{"title":"Ax-Schanuel condition in arbitrary characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Piotr Kowalski","submitted_at":"2014-02-09T13:19:12Z","abstract_excerpt":"We prove a positive characteristic version of Ax's theorem on the intersection of an algebraic subvariety and an analytic subgroup of an algebraic group. Our result is stated in a more general context of a formal map between an algebraic variety and an algebraic group. We derive transcendence results of Ax-Schanuel type."},"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":"1402.1951","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-02-09T13:19:12Z","cross_cats_sorted":[],"title_canon_sha256":"3156e606c03fff2621807d60b7400cf18df641e430620d4796774a0b83552dcd","abstract_canon_sha256":"10d6a5c5f2d3b334d5d5f0a258815df76efd133f686eba314b0c52b63e164004"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:39.656837Z","signature_b64":"Y9PkrOLW4+do77IgoFzJdNSDnxaAW9q+dA7A5TzJ3z1boLT5eqdfUMYHRmN+9taRr2afFSQSScp2N/5QDjwmCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a864e459054af064e86d37bef979843b70780ad70042cbee2fc823331652ba7f","last_reissued_at":"2026-05-18T00:34:39.656337Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:39.656337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ax-Schanuel condition in arbitrary characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Piotr Kowalski","submitted_at":"2014-02-09T13:19:12Z","abstract_excerpt":"We prove a positive characteristic version of Ax's theorem on the intersection of an algebraic subvariety and an analytic subgroup of an algebraic group. Our result is stated in a more general context of a formal map between an algebraic variety and an algebraic group. We derive transcendence results of Ax-Schanuel type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1951","kind":"arxiv","version":3},"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":"1402.1951","created_at":"2026-05-18T00:34:39.656435+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.1951v3","created_at":"2026-05-18T00:34:39.656435+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1951","created_at":"2026-05-18T00:34:39.656435+00:00"},{"alias_kind":"pith_short_12","alias_value":"VBSOIWIFJLYG","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"VBSOIWIFJLYGJ2DN","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"VBSOIWIF","created_at":"2026-05-18T12:28:52.271510+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/VBSOIWIFJLYGJ2DNG67PS6MEHN","json":"https://pith.science/pith/VBSOIWIFJLYGJ2DNG67PS6MEHN.json","graph_json":"https://pith.science/api/pith-number/VBSOIWIFJLYGJ2DNG67PS6MEHN/graph.json","events_json":"https://pith.science/api/pith-number/VBSOIWIFJLYGJ2DNG67PS6MEHN/events.json","paper":"https://pith.science/paper/VBSOIWIF"},"agent_actions":{"view_html":"https://pith.science/pith/VBSOIWIFJLYGJ2DNG67PS6MEHN","download_json":"https://pith.science/pith/VBSOIWIFJLYGJ2DNG67PS6MEHN.json","view_paper":"https://pith.science/paper/VBSOIWIF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.1951&json=true","fetch_graph":"https://pith.science/api/pith-number/VBSOIWIFJLYGJ2DNG67PS6MEHN/graph.json","fetch_events":"https://pith.science/api/pith-number/VBSOIWIFJLYGJ2DNG67PS6MEHN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VBSOIWIFJLYGJ2DNG67PS6MEHN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VBSOIWIFJLYGJ2DNG67PS6MEHN/action/storage_attestation","attest_author":"https://pith.science/pith/VBSOIWIFJLYGJ2DNG67PS6MEHN/action/author_attestation","sign_citation":"https://pith.science/pith/VBSOIWIFJLYGJ2DNG67PS6MEHN/action/citation_signature","submit_replication":"https://pith.science/pith/VBSOIWIFJLYGJ2DNG67PS6MEHN/action/replication_record"}},"created_at":"2026-05-18T00:34:39.656435+00:00","updated_at":"2026-05-18T00:34:39.656435+00:00"}