{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:YBTRBFPTAPZIH26PIBNZOF6HOJ","short_pith_number":"pith:YBTRBFPT","schema_version":"1.0","canonical_sha256":"c0671095f303f283ebcf405b9717c772576a850098c573daea38d65c2e06d869","source":{"kind":"arxiv","id":"1304.2214","version":1},"attestation_state":"computed","paper":{"title":"Period-index and u-invariant questions for function fields over complete discretely valued fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"R. Parimala, V. Suresh","submitted_at":"2013-04-08T14:18:34Z","abstract_excerpt":"Let K be a complete discretely valued field and F the function field of a curve over K. If the characteristic of the residue field k of K is p > 0, then we give a bound for the Brauer p-simension of F in terms of the p-rank of k. If k is a perfect field of characteristic 2, we show that the u-invaraint of F is at most 8."},"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":"1304.2214","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-08T14:18:34Z","cross_cats_sorted":[],"title_canon_sha256":"7360856be913e96c41cda8e712a494ef87a5b7e810a75ca6b8ba222e4d3b9394","abstract_canon_sha256":"253e523d68938e7bc9082cf7c174d87b39aeff2fcf74506f1b90421d1a033073"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:41.631382Z","signature_b64":"gyqwNqR6ojPRi62eTiTiuRZ9FwFEOkC4aEN3cwm1b57JWjvl1OqkcK4ZJfd8pXzH1rYa5xaYhImm25r/haiLCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0671095f303f283ebcf405b9717c772576a850098c573daea38d65c2e06d869","last_reissued_at":"2026-05-18T01:50:41.630705Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:41.630705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Period-index and u-invariant questions for function fields over complete discretely valued fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"R. Parimala, V. Suresh","submitted_at":"2013-04-08T14:18:34Z","abstract_excerpt":"Let K be a complete discretely valued field and F the function field of a curve over K. If the characteristic of the residue field k of K is p > 0, then we give a bound for the Brauer p-simension of F in terms of the p-rank of k. If k is a perfect field of characteristic 2, we show that the u-invaraint of F is at most 8."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2214","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":"1304.2214","created_at":"2026-05-18T01:50:41.630801+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.2214v1","created_at":"2026-05-18T01:50:41.630801+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2214","created_at":"2026-05-18T01:50:41.630801+00:00"},{"alias_kind":"pith_short_12","alias_value":"YBTRBFPTAPZI","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"YBTRBFPTAPZIH26P","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"YBTRBFPT","created_at":"2026-05-18T12:28:06.772260+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/YBTRBFPTAPZIH26PIBNZOF6HOJ","json":"https://pith.science/pith/YBTRBFPTAPZIH26PIBNZOF6HOJ.json","graph_json":"https://pith.science/api/pith-number/YBTRBFPTAPZIH26PIBNZOF6HOJ/graph.json","events_json":"https://pith.science/api/pith-number/YBTRBFPTAPZIH26PIBNZOF6HOJ/events.json","paper":"https://pith.science/paper/YBTRBFPT"},"agent_actions":{"view_html":"https://pith.science/pith/YBTRBFPTAPZIH26PIBNZOF6HOJ","download_json":"https://pith.science/pith/YBTRBFPTAPZIH26PIBNZOF6HOJ.json","view_paper":"https://pith.science/paper/YBTRBFPT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.2214&json=true","fetch_graph":"https://pith.science/api/pith-number/YBTRBFPTAPZIH26PIBNZOF6HOJ/graph.json","fetch_events":"https://pith.science/api/pith-number/YBTRBFPTAPZIH26PIBNZOF6HOJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YBTRBFPTAPZIH26PIBNZOF6HOJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YBTRBFPTAPZIH26PIBNZOF6HOJ/action/storage_attestation","attest_author":"https://pith.science/pith/YBTRBFPTAPZIH26PIBNZOF6HOJ/action/author_attestation","sign_citation":"https://pith.science/pith/YBTRBFPTAPZIH26PIBNZOF6HOJ/action/citation_signature","submit_replication":"https://pith.science/pith/YBTRBFPTAPZIH26PIBNZOF6HOJ/action/replication_record"}},"created_at":"2026-05-18T01:50:41.630801+00:00","updated_at":"2026-05-18T01:50:41.630801+00:00"}