{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WSDRSNN2X2QYT3J7PP4FNKAFQ3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2db36657308ec59afc3c620b6c8df32e86e205ad28e50d041525d22c1f62eb75","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-06-09T22:48:34Z","title_canon_sha256":"f47695727cec91788d516e21fe331858548e6d25925e672772d0d2fa6920e804"},"schema_version":"1.0","source":{"id":"1306.2070","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2070","created_at":"2026-05-18T01:59:53Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2070v2","created_at":"2026-05-18T01:59:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2070","created_at":"2026-05-18T01:59:53Z"},{"alias_kind":"pith_short_12","alias_value":"WSDRSNN2X2QY","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WSDRSNN2X2QYT3J7","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WSDRSNN2","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:90a71fbfb694b620ceadc6511641f61c7f9932c7914effd58be0084c1448cde1","target":"graph","created_at":"2026-05-18T01:59:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The main result of this paper is the existence of Galois representations associated with the mod $p$ (or mod $p^m$) cohomology of the locally symmetric spaces for $\\GL_n$ over a totally real or CM field, proving conjectures of Ash and others. Following an old suggestion of Clozel, recently realized by Harris-Lan-Taylor-Thorne for characteristic 0 cohomology classes, one realizes the cohomology of the locally symmetric spaces for $\\GL_n$ as a boundary contribution of the cohomology of symplectic or unitary Shimura varieties, so that the key problem is to understand torsion in the cohomology of ","authors_text":"Peter Scholze","cross_cats":["math.AG","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-06-09T22:48:34Z","title":"On torsion in the cohomology of locally symmetric varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2070","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:23187e343a7b262631954b6230d87973ea12c77de5611436acb24ae452ee33aa","target":"record","created_at":"2026-05-18T01:59:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2db36657308ec59afc3c620b6c8df32e86e205ad28e50d041525d22c1f62eb75","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-06-09T22:48:34Z","title_canon_sha256":"f47695727cec91788d516e21fe331858548e6d25925e672772d0d2fa6920e804"},"schema_version":"1.0","source":{"id":"1306.2070","kind":"arxiv","version":2}},"canonical_sha256":"b4871935babea189ed3f7bf856a80586df23342718ec7f8d3edb395566899674","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4871935babea189ed3f7bf856a80586df23342718ec7f8d3edb395566899674","first_computed_at":"2026-05-18T01:59:53.727240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:53.727240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9JCcILkmn/Nzto9XDT5+GdhmuYkkQquW1WRUf0mI1N6UAExUP5KclNex13jwRRx0lNy+Nov1YC8o/QRp0WqeCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:53.727790Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.2070","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23187e343a7b262631954b6230d87973ea12c77de5611436acb24ae452ee33aa","sha256:90a71fbfb694b620ceadc6511641f61c7f9932c7914effd58be0084c1448cde1"],"state_sha256":"e6f8a3dea4d51c0eb6f1a886ef92e7acddf1a83bc4b71ad19412af9ccb0a4fd1"}