{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:QTYONQU4WOL37CGRLGS3UOGECG","short_pith_number":"pith:QTYONQU4","schema_version":"1.0","canonical_sha256":"84f0e6c29cb397bf88d159a5ba38c411a371dd6008a5d489933f0823d0298d8a","source":{"kind":"arxiv","id":"1407.1941","version":2},"attestation_state":"computed","paper":{"title":"Generalized Kuga-Satake theory and rigid local systems, II: rigid Hecke eigensheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Stefan Patrikis","submitted_at":"2014-07-08T03:20:41Z","abstract_excerpt":"This paper uses rigid Hecke eigensheaves, building on Yun's work on the construction of motives with exceptional Galois groups, to produce the first robust examples of `generalized Kuga-Satake theory' outside the Tannakian category of motives generated by abelian varieties. To strengthen our description of the `motivic' nature of Kuga-Satake lifts, we digress to establish a result that should be of independent interest: for any quasi-projective variety over a (finitely-generated) characteristic zero field, the associated weight-graded of its intersection cohomology arises from a motivated moti"},"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":"1407.1941","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-07-08T03:20:41Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"02c64ed59e8912a178fad39ca6ef9526e6a6a8940292ad13f8a7476323452435","abstract_canon_sha256":"8530eaa52fed035206f21827ecb0101a2029db8c1661b4a1ee0cf464321620b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:24.150019Z","signature_b64":"Zxt0gZOmo2qiU7LVO1+o27VQ7CM4t1Si98eGZLT6GhSz0a5yr+DCiB2GbLXMfmywkYrk12d6cLs+gN/YQK+ZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84f0e6c29cb397bf88d159a5ba38c411a371dd6008a5d489933f0823d0298d8a","last_reissued_at":"2026-05-18T01:03:24.149504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:24.149504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Kuga-Satake theory and rigid local systems, II: rigid Hecke eigensheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Stefan Patrikis","submitted_at":"2014-07-08T03:20:41Z","abstract_excerpt":"This paper uses rigid Hecke eigensheaves, building on Yun's work on the construction of motives with exceptional Galois groups, to produce the first robust examples of `generalized Kuga-Satake theory' outside the Tannakian category of motives generated by abelian varieties. To strengthen our description of the `motivic' nature of Kuga-Satake lifts, we digress to establish a result that should be of independent interest: for any quasi-projective variety over a (finitely-generated) characteristic zero field, the associated weight-graded of its intersection cohomology arises from a motivated moti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1941","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":"1407.1941","created_at":"2026-05-18T01:03:24.149572+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.1941v2","created_at":"2026-05-18T01:03:24.149572+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1941","created_at":"2026-05-18T01:03:24.149572+00:00"},{"alias_kind":"pith_short_12","alias_value":"QTYONQU4WOL3","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"QTYONQU4WOL37CGR","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"QTYONQU4","created_at":"2026-05-18T12:28:46.137349+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/QTYONQU4WOL37CGRLGS3UOGECG","json":"https://pith.science/pith/QTYONQU4WOL37CGRLGS3UOGECG.json","graph_json":"https://pith.science/api/pith-number/QTYONQU4WOL37CGRLGS3UOGECG/graph.json","events_json":"https://pith.science/api/pith-number/QTYONQU4WOL37CGRLGS3UOGECG/events.json","paper":"https://pith.science/paper/QTYONQU4"},"agent_actions":{"view_html":"https://pith.science/pith/QTYONQU4WOL37CGRLGS3UOGECG","download_json":"https://pith.science/pith/QTYONQU4WOL37CGRLGS3UOGECG.json","view_paper":"https://pith.science/paper/QTYONQU4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.1941&json=true","fetch_graph":"https://pith.science/api/pith-number/QTYONQU4WOL37CGRLGS3UOGECG/graph.json","fetch_events":"https://pith.science/api/pith-number/QTYONQU4WOL37CGRLGS3UOGECG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QTYONQU4WOL37CGRLGS3UOGECG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QTYONQU4WOL37CGRLGS3UOGECG/action/storage_attestation","attest_author":"https://pith.science/pith/QTYONQU4WOL37CGRLGS3UOGECG/action/author_attestation","sign_citation":"https://pith.science/pith/QTYONQU4WOL37CGRLGS3UOGECG/action/citation_signature","submit_replication":"https://pith.science/pith/QTYONQU4WOL37CGRLGS3UOGECG/action/replication_record"}},"created_at":"2026-05-18T01:03:24.149572+00:00","updated_at":"2026-05-18T01:03:24.149572+00:00"}