{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:BOAEZPKFCA3CV4UVKQNGOHDXAC","short_pith_number":"pith:BOAEZPKF","schema_version":"1.0","canonical_sha256":"0b804cbd4510362af295541a671c770096c5992145bc35d8d4aeae7b5e0fb01c","source":{"kind":"arxiv","id":"1306.2506","version":2},"attestation_state":"computed","paper":{"title":"The t-motivic mixed Carlitz zeta category and Carlitz-Thakur multi-zeta values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Kirti Joshi","submitted_at":"2013-06-11T12:40:12Z","abstract_excerpt":"We construct the t-motivic mixed Carlitz zeta category over $\\F_q(t)$ and show that it contains all the (mixed) t-motives with Carlitz-Thakur multi-zeta values as periods constructed by Anderson and Thakur. Our construction is canonical and our category is Tannakian and neutral and every object is equipped with a weight filtration whose graded pieces are Carlitz motives over $\\F_q(t)$. For any finite separable extension L/\\F_q(t) we show that existence of a similar category over $L$ is a consequence of a version of a conjecture of L. Taelman. Along the way we also prove the existence of the ca"},"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":"1306.2506","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-06-11T12:40:12Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"bc07072895bf2dd6f60e9234db021cc1b11c3d3e2a18fd3097c66ca4ddeafc07","abstract_canon_sha256":"47c62dba6547d0b1a6a3b9fc7f659cb380c18acb7e7583755200161a12f97ad1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:40.092860Z","signature_b64":"gZz7QOaPW7dGCfD4ff05z5qba4Gl2d9p/BhnB3rjTCi/zgEBZN6t//UOQiYdYtNK253A+1jlbjkE+Y9WPnTbDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b804cbd4510362af295541a671c770096c5992145bc35d8d4aeae7b5e0fb01c","last_reissued_at":"2026-05-18T03:16:40.092097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:40.092097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The t-motivic mixed Carlitz zeta category and Carlitz-Thakur multi-zeta values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Kirti Joshi","submitted_at":"2013-06-11T12:40:12Z","abstract_excerpt":"We construct the t-motivic mixed Carlitz zeta category over $\\F_q(t)$ and show that it contains all the (mixed) t-motives with Carlitz-Thakur multi-zeta values as periods constructed by Anderson and Thakur. Our construction is canonical and our category is Tannakian and neutral and every object is equipped with a weight filtration whose graded pieces are Carlitz motives over $\\F_q(t)$. For any finite separable extension L/\\F_q(t) we show that existence of a similar category over $L$ is a consequence of a version of a conjecture of L. Taelman. Along the way we also prove the existence of the ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2506","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":"1306.2506","created_at":"2026-05-18T03:16:40.092207+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.2506v2","created_at":"2026-05-18T03:16:40.092207+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2506","created_at":"2026-05-18T03:16:40.092207+00:00"},{"alias_kind":"pith_short_12","alias_value":"BOAEZPKFCA3C","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"BOAEZPKFCA3CV4UV","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"BOAEZPKF","created_at":"2026-05-18T12:27:40.988391+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/BOAEZPKFCA3CV4UVKQNGOHDXAC","json":"https://pith.science/pith/BOAEZPKFCA3CV4UVKQNGOHDXAC.json","graph_json":"https://pith.science/api/pith-number/BOAEZPKFCA3CV4UVKQNGOHDXAC/graph.json","events_json":"https://pith.science/api/pith-number/BOAEZPKFCA3CV4UVKQNGOHDXAC/events.json","paper":"https://pith.science/paper/BOAEZPKF"},"agent_actions":{"view_html":"https://pith.science/pith/BOAEZPKFCA3CV4UVKQNGOHDXAC","download_json":"https://pith.science/pith/BOAEZPKFCA3CV4UVKQNGOHDXAC.json","view_paper":"https://pith.science/paper/BOAEZPKF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.2506&json=true","fetch_graph":"https://pith.science/api/pith-number/BOAEZPKFCA3CV4UVKQNGOHDXAC/graph.json","fetch_events":"https://pith.science/api/pith-number/BOAEZPKFCA3CV4UVKQNGOHDXAC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BOAEZPKFCA3CV4UVKQNGOHDXAC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BOAEZPKFCA3CV4UVKQNGOHDXAC/action/storage_attestation","attest_author":"https://pith.science/pith/BOAEZPKFCA3CV4UVKQNGOHDXAC/action/author_attestation","sign_citation":"https://pith.science/pith/BOAEZPKFCA3CV4UVKQNGOHDXAC/action/citation_signature","submit_replication":"https://pith.science/pith/BOAEZPKFCA3CV4UVKQNGOHDXAC/action/replication_record"}},"created_at":"2026-05-18T03:16:40.092207+00:00","updated_at":"2026-05-18T03:16:40.092207+00:00"}