{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:SI6ZNV24VVLLELQJRZFIBATF3I","short_pith_number":"pith:SI6ZNV24","schema_version":"1.0","canonical_sha256":"923d96d75cad56b22e098e4a808265da203966b649c1787cc7ddd4ee9ce597ea","source":{"kind":"arxiv","id":"1111.1981","version":4},"attestation_state":"computed","paper":{"title":"Graded and Filtered Fiber Functors on Tannakian Categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Paul Ziegler","submitted_at":"2011-11-08T17:27:41Z","abstract_excerpt":"We study fiber functors on Tannakian categories which are equipped with a grading or a filtration. Our goal is to give a comprehensive set of foundational results about such functors. A main result is that each filtration on a fiber functor can be split by a grading fpqc-locally on the base scheme."},"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":"1111.1981","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-08T17:27:41Z","cross_cats_sorted":[],"title_canon_sha256":"46ab8890fee70ddb1bd3033c00184233c0694d06e39c64422411a02db7edb194","abstract_canon_sha256":"edf7b2ad5e4dcdb77c5dbe69324c5bb3a33d7e744d588688bccdad221943fc6d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:52.615200Z","signature_b64":"+pngS9cE4WHnvxeSb6eTDzNWQ7KlWqj0O+d40OhNkfrqaWoeSbZhfpdAZVAcOhrSZYWB4LIe10bhADC1jHYvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"923d96d75cad56b22e098e4a808265da203966b649c1787cc7ddd4ee9ce597ea","last_reissued_at":"2026-05-18T01:35:52.614662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:52.614662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Graded and Filtered Fiber Functors on Tannakian Categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Paul Ziegler","submitted_at":"2011-11-08T17:27:41Z","abstract_excerpt":"We study fiber functors on Tannakian categories which are equipped with a grading or a filtration. Our goal is to give a comprehensive set of foundational results about such functors. A main result is that each filtration on a fiber functor can be split by a grading fpqc-locally on the base scheme."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1981","kind":"arxiv","version":4},"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":"1111.1981","created_at":"2026-05-18T01:35:52.614757+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.1981v4","created_at":"2026-05-18T01:35:52.614757+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1981","created_at":"2026-05-18T01:35:52.614757+00:00"},{"alias_kind":"pith_short_12","alias_value":"SI6ZNV24VVLL","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"SI6ZNV24VVLLELQJ","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"SI6ZNV24","created_at":"2026-05-18T12:26:41.206345+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/SI6ZNV24VVLLELQJRZFIBATF3I","json":"https://pith.science/pith/SI6ZNV24VVLLELQJRZFIBATF3I.json","graph_json":"https://pith.science/api/pith-number/SI6ZNV24VVLLELQJRZFIBATF3I/graph.json","events_json":"https://pith.science/api/pith-number/SI6ZNV24VVLLELQJRZFIBATF3I/events.json","paper":"https://pith.science/paper/SI6ZNV24"},"agent_actions":{"view_html":"https://pith.science/pith/SI6ZNV24VVLLELQJRZFIBATF3I","download_json":"https://pith.science/pith/SI6ZNV24VVLLELQJRZFIBATF3I.json","view_paper":"https://pith.science/paper/SI6ZNV24","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.1981&json=true","fetch_graph":"https://pith.science/api/pith-number/SI6ZNV24VVLLELQJRZFIBATF3I/graph.json","fetch_events":"https://pith.science/api/pith-number/SI6ZNV24VVLLELQJRZFIBATF3I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SI6ZNV24VVLLELQJRZFIBATF3I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SI6ZNV24VVLLELQJRZFIBATF3I/action/storage_attestation","attest_author":"https://pith.science/pith/SI6ZNV24VVLLELQJRZFIBATF3I/action/author_attestation","sign_citation":"https://pith.science/pith/SI6ZNV24VVLLELQJRZFIBATF3I/action/citation_signature","submit_replication":"https://pith.science/pith/SI6ZNV24VVLLELQJRZFIBATF3I/action/replication_record"}},"created_at":"2026-05-18T01:35:52.614757+00:00","updated_at":"2026-05-18T01:35:52.614757+00:00"}