{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XYQ5ZESLX6Q2C6FEQLN2BJKBBK","short_pith_number":"pith:XYQ5ZESL","canonical_record":{"source":{"id":"1109.4697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-22T03:50:08Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"a7778d6b064c1d4d788c7da5732d9a7e333359a5f1533807c1fc6138ac0691df","abstract_canon_sha256":"f419b5abd4acffd9902a7b92846f648c418da827c830bc4eaa59152fbab6973e"},"schema_version":"1.0"},"canonical_sha256":"be21dc924bbfa1a178a482dba0a5410a85c239ade56b6f160a8a168cefa6dcb2","source":{"kind":"arxiv","id":"1109.4697","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4697","created_at":"2026-05-18T04:12:31Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4697v2","created_at":"2026-05-18T04:12:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4697","created_at":"2026-05-18T04:12:31Z"},{"alias_kind":"pith_short_12","alias_value":"XYQ5ZESLX6Q2","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XYQ5ZESLX6Q2C6FE","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XYQ5ZESL","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XYQ5ZESLX6Q2C6FEQLN2BJKBBK","target":"record","payload":{"canonical_record":{"source":{"id":"1109.4697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-22T03:50:08Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"a7778d6b064c1d4d788c7da5732d9a7e333359a5f1533807c1fc6138ac0691df","abstract_canon_sha256":"f419b5abd4acffd9902a7b92846f648c418da827c830bc4eaa59152fbab6973e"},"schema_version":"1.0"},"canonical_sha256":"be21dc924bbfa1a178a482dba0a5410a85c239ade56b6f160a8a168cefa6dcb2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:31.851862Z","signature_b64":"mxDhEe08E9U9xUe/Ia+qRjfDzVNWy/kQfnSrufqdsX2XuYYllrCRk+mIIkMQxULvHK99mTS+NlHuRCNm1td+Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be21dc924bbfa1a178a482dba0a5410a85c239ade56b6f160a8a168cefa6dcb2","last_reissued_at":"2026-05-18T04:12:31.851211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:31.851211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.4697","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:12:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IE/yoONwSdOA80WCrp6q+yYIzP8N9FrCGBlyKxTWKivgYBSsVhqhCxZlja3mcF+V4gn5kX+kcayyUm5rwYXsAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T01:03:46.908238Z"},"content_sha256":"8c1a2e7752a995377f2b1bcd21ba14b53fae1ea8aa6d3537d03be4ec0bb25bcd","schema_version":"1.0","event_id":"sha256:8c1a2e7752a995377f2b1bcd21ba14b53fae1ea8aa6d3537d03be4ec0bb25bcd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XYQ5ZESLX6Q2C6FEQLN2BJKBBK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Naoki Imai, Yoichi Mieda","submitted_at":"2011-09-22T03:50:08Z","abstract_excerpt":"In this paper, we compare two cohomology groups associated to Shimura varieties of PEL type, which are not proper over the base. One is the compactly supported l-adic cohomology, and the other is the nearby cycle cohomology, namely, the compactly supported cohomology of the nearby cycle complex for the canonical integral model of the Shimura variety over Z_p. We prove that the G(Q_p)-cuspidal part of these cohomology groups are the same, where G denotes the reductive algebraic group naturally attached to the PEL datum. Some applications to unitary Shimura varieties are also given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4697","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:12:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LUe766WGJzxLvcafysUK832nvWqq0+SkI10NUVUVpYOYO7smsqLd+cUivLcroNQ+t8/hyU7LghZLKsiNa5TtAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T01:03:46.908956Z"},"content_sha256":"70c62e199d96d8d4d7641e8177f392848225cb192c7bc107880038d3937b9850","schema_version":"1.0","event_id":"sha256:70c62e199d96d8d4d7641e8177f392848225cb192c7bc107880038d3937b9850"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XYQ5ZESLX6Q2C6FEQLN2BJKBBK/bundle.json","state_url":"https://pith.science/pith/XYQ5ZESLX6Q2C6FEQLN2BJKBBK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XYQ5ZESLX6Q2C6FEQLN2BJKBBK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T01:03:46Z","links":{"resolver":"https://pith.science/pith/XYQ5ZESLX6Q2C6FEQLN2BJKBBK","bundle":"https://pith.science/pith/XYQ5ZESLX6Q2C6FEQLN2BJKBBK/bundle.json","state":"https://pith.science/pith/XYQ5ZESLX6Q2C6FEQLN2BJKBBK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XYQ5ZESLX6Q2C6FEQLN2BJKBBK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XYQ5ZESLX6Q2C6FEQLN2BJKBBK","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":"f419b5abd4acffd9902a7b92846f648c418da827c830bc4eaa59152fbab6973e","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-22T03:50:08Z","title_canon_sha256":"a7778d6b064c1d4d788c7da5732d9a7e333359a5f1533807c1fc6138ac0691df"},"schema_version":"1.0","source":{"id":"1109.4697","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4697","created_at":"2026-05-18T04:12:31Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4697v2","created_at":"2026-05-18T04:12:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4697","created_at":"2026-05-18T04:12:31Z"},{"alias_kind":"pith_short_12","alias_value":"XYQ5ZESLX6Q2","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XYQ5ZESLX6Q2C6FE","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XYQ5ZESL","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:70c62e199d96d8d4d7641e8177f392848225cb192c7bc107880038d3937b9850","target":"graph","created_at":"2026-05-18T04:12:31Z","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":"In this paper, we compare two cohomology groups associated to Shimura varieties of PEL type, which are not proper over the base. One is the compactly supported l-adic cohomology, and the other is the nearby cycle cohomology, namely, the compactly supported cohomology of the nearby cycle complex for the canonical integral model of the Shimura variety over Z_p. We prove that the G(Q_p)-cuspidal part of these cohomology groups are the same, where G denotes the reductive algebraic group naturally attached to the PEL datum. Some applications to unitary Shimura varieties are also given.","authors_text":"Naoki Imai, Yoichi Mieda","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-22T03:50:08Z","title":"Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4697","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":"sha256:8c1a2e7752a995377f2b1bcd21ba14b53fae1ea8aa6d3537d03be4ec0bb25bcd","target":"record","created_at":"2026-05-18T04:12:31Z","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":"f419b5abd4acffd9902a7b92846f648c418da827c830bc4eaa59152fbab6973e","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-22T03:50:08Z","title_canon_sha256":"a7778d6b064c1d4d788c7da5732d9a7e333359a5f1533807c1fc6138ac0691df"},"schema_version":"1.0","source":{"id":"1109.4697","kind":"arxiv","version":2}},"canonical_sha256":"be21dc924bbfa1a178a482dba0a5410a85c239ade56b6f160a8a168cefa6dcb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be21dc924bbfa1a178a482dba0a5410a85c239ade56b6f160a8a168cefa6dcb2","first_computed_at":"2026-05-18T04:12:31.851211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:31.851211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mxDhEe08E9U9xUe/Ia+qRjfDzVNWy/kQfnSrufqdsX2XuYYllrCRk+mIIkMQxULvHK99mTS+NlHuRCNm1td+Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:31.851862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4697","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c1a2e7752a995377f2b1bcd21ba14b53fae1ea8aa6d3537d03be4ec0bb25bcd","sha256:70c62e199d96d8d4d7641e8177f392848225cb192c7bc107880038d3937b9850"],"state_sha256":"7b90faeb5472845dfc90848dc51f1cf742394e072c4d24197937869cf4d245e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3wjZnhPuNg0suqFtS75DvLe0dkyv48CI9jcIA4Uv+HOwkYPRLtEEXjCDEPqYiUB0+yearTMbGc7FRf+cOWD3Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T01:03:46.913236Z","bundle_sha256":"ce4ccda9ad02a83e4ae394d923f2e5dc0da2dca233548aa6d9101fc740ded19c"}}