{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:QEY3LLY3VM5VR3WCZWHWQYNO2U","short_pith_number":"pith:QEY3LLY3","schema_version":"1.0","canonical_sha256":"8131b5af1bab3b58eec2cd8f6861aed531b95141a2abccecc8902ff96ff80202","source":{"kind":"arxiv","id":"1009.5421","version":1},"attestation_state":"computed","paper":{"title":"Artin-Schreier extensions in NIP and simple fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Frank O. Wagner, Itay Kaplan, Thomas Scanlon","submitted_at":"2010-09-28T01:12:27Z","abstract_excerpt":"We show that NIP fields have no Artin-Schreier extension, and that simple fields have only a finite number of them."},"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":"1009.5421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2010-09-28T01:12:27Z","cross_cats_sorted":[],"title_canon_sha256":"34ca3ac8cc35a264d0e9d30658445b95ad3933fdd80c2fbe81274f7381dd963c","abstract_canon_sha256":"cfe2c8738c23f497ae26287b031959f5defadbf925c1b9060f4893fac49b88b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:10.023620Z","signature_b64":"O0W/L1ZLsk3GM3sp6SRZk/hb/lB88psOuFYo8BnMCJJ+dPuzY0d0y6ERi6qDNKEdGOTLBA7CeSZlA35xnkjAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8131b5af1bab3b58eec2cd8f6861aed531b95141a2abccecc8902ff96ff80202","last_reissued_at":"2026-05-18T04:40:10.023111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:10.023111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Artin-Schreier extensions in NIP and simple fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Frank O. Wagner, Itay Kaplan, Thomas Scanlon","submitted_at":"2010-09-28T01:12:27Z","abstract_excerpt":"We show that NIP fields have no Artin-Schreier extension, and that simple fields have only a finite number of them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5421","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":"1009.5421","created_at":"2026-05-18T04:40:10.023184+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.5421v1","created_at":"2026-05-18T04:40:10.023184+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5421","created_at":"2026-05-18T04:40:10.023184+00:00"},{"alias_kind":"pith_short_12","alias_value":"QEY3LLY3VM5V","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"QEY3LLY3VM5VR3WC","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"QEY3LLY3","created_at":"2026-05-18T12:26:12.377268+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/QEY3LLY3VM5VR3WCZWHWQYNO2U","json":"https://pith.science/pith/QEY3LLY3VM5VR3WCZWHWQYNO2U.json","graph_json":"https://pith.science/api/pith-number/QEY3LLY3VM5VR3WCZWHWQYNO2U/graph.json","events_json":"https://pith.science/api/pith-number/QEY3LLY3VM5VR3WCZWHWQYNO2U/events.json","paper":"https://pith.science/paper/QEY3LLY3"},"agent_actions":{"view_html":"https://pith.science/pith/QEY3LLY3VM5VR3WCZWHWQYNO2U","download_json":"https://pith.science/pith/QEY3LLY3VM5VR3WCZWHWQYNO2U.json","view_paper":"https://pith.science/paper/QEY3LLY3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.5421&json=true","fetch_graph":"https://pith.science/api/pith-number/QEY3LLY3VM5VR3WCZWHWQYNO2U/graph.json","fetch_events":"https://pith.science/api/pith-number/QEY3LLY3VM5VR3WCZWHWQYNO2U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QEY3LLY3VM5VR3WCZWHWQYNO2U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QEY3LLY3VM5VR3WCZWHWQYNO2U/action/storage_attestation","attest_author":"https://pith.science/pith/QEY3LLY3VM5VR3WCZWHWQYNO2U/action/author_attestation","sign_citation":"https://pith.science/pith/QEY3LLY3VM5VR3WCZWHWQYNO2U/action/citation_signature","submit_replication":"https://pith.science/pith/QEY3LLY3VM5VR3WCZWHWQYNO2U/action/replication_record"}},"created_at":"2026-05-18T04:40:10.023184+00:00","updated_at":"2026-05-18T04:40:10.023184+00:00"}