{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:NT4MERZDTIVFP5FOXW2S6GSTCR","short_pith_number":"pith:NT4MERZD","schema_version":"1.0","canonical_sha256":"6cf8c247239a2a57f4aebdb52f1a5314459f2130cff4ad9983407cf192ead2b9","source":{"kind":"arxiv","id":"1511.02418","version":1},"attestation_state":"computed","paper":{"title":"On the generic part of the cohomology of compact unitary Shimura varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.NT","authors_text":"Ana Caraiani, Peter Scholze","submitted_at":"2015-11-08T00:55:13Z","abstract_excerpt":"The goal of this paper is to show that the cohomology of compact unitary Shimura varieties is concentrated in the middle degree and torsion-free, after localizing at a maximal ideal of the Hecke algebra satisfying a suitable genericity assumption. Along the way, we establish various foundational results on the geometry of the Hodge-Tate period map. In particular, we compare the fibres of the Hodge-Tate period map with Igusa varieties."},"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":"1511.02418","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-11-08T00:55:13Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"257b58606f63e9c9fec511693f27ab9f4e1c5d1f7de461922a4cf721b4321431","abstract_canon_sha256":"f3da01576003f357a05c7301e905db8884204f2eb4816f21d44e6fe940490377"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:30.360124Z","signature_b64":"DWwgITLv0E8sGqZOeM2IZPZxglXU0J6gkk1FIhrAowxgMRZjHtVAWApQ7MxLtckT1+frDZQDjy8dG672go7WDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cf8c247239a2a57f4aebdb52f1a5314459f2130cff4ad9983407cf192ead2b9","last_reissued_at":"2026-05-18T01:27:30.359469Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:30.359469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the generic part of the cohomology of compact unitary Shimura varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.NT","authors_text":"Ana Caraiani, Peter Scholze","submitted_at":"2015-11-08T00:55:13Z","abstract_excerpt":"The goal of this paper is to show that the cohomology of compact unitary Shimura varieties is concentrated in the middle degree and torsion-free, after localizing at a maximal ideal of the Hecke algebra satisfying a suitable genericity assumption. Along the way, we establish various foundational results on the geometry of the Hodge-Tate period map. In particular, we compare the fibres of the Hodge-Tate period map with Igusa varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02418","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":"1511.02418","created_at":"2026-05-18T01:27:30.359559+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.02418v1","created_at":"2026-05-18T01:27:30.359559+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02418","created_at":"2026-05-18T01:27:30.359559+00:00"},{"alias_kind":"pith_short_12","alias_value":"NT4MERZDTIVF","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"NT4MERZDTIVFP5FO","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"NT4MERZD","created_at":"2026-05-18T12:29:34.919912+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/NT4MERZDTIVFP5FOXW2S6GSTCR","json":"https://pith.science/pith/NT4MERZDTIVFP5FOXW2S6GSTCR.json","graph_json":"https://pith.science/api/pith-number/NT4MERZDTIVFP5FOXW2S6GSTCR/graph.json","events_json":"https://pith.science/api/pith-number/NT4MERZDTIVFP5FOXW2S6GSTCR/events.json","paper":"https://pith.science/paper/NT4MERZD"},"agent_actions":{"view_html":"https://pith.science/pith/NT4MERZDTIVFP5FOXW2S6GSTCR","download_json":"https://pith.science/pith/NT4MERZDTIVFP5FOXW2S6GSTCR.json","view_paper":"https://pith.science/paper/NT4MERZD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.02418&json=true","fetch_graph":"https://pith.science/api/pith-number/NT4MERZDTIVFP5FOXW2S6GSTCR/graph.json","fetch_events":"https://pith.science/api/pith-number/NT4MERZDTIVFP5FOXW2S6GSTCR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NT4MERZDTIVFP5FOXW2S6GSTCR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NT4MERZDTIVFP5FOXW2S6GSTCR/action/storage_attestation","attest_author":"https://pith.science/pith/NT4MERZDTIVFP5FOXW2S6GSTCR/action/author_attestation","sign_citation":"https://pith.science/pith/NT4MERZDTIVFP5FOXW2S6GSTCR/action/citation_signature","submit_replication":"https://pith.science/pith/NT4MERZDTIVFP5FOXW2S6GSTCR/action/replication_record"}},"created_at":"2026-05-18T01:27:30.359559+00:00","updated_at":"2026-05-18T01:27:30.359559+00:00"}