{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FWQI7AE6GLSUQGGLW5GPVCFBGU","short_pith_number":"pith:FWQI7AE6","canonical_record":{"source":{"id":"1707.05700","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-18T15:46:51Z","cross_cats_sorted":["math.NT","math.RT"],"title_canon_sha256":"0dca2936bbd9437f0115dcd35220fd7fb937a5f783165416020137d5d217b987","abstract_canon_sha256":"8cfb7e1d2752c06c8122a0b0bd8558e9ed5f2e742bd12e475f5758844c19c90c"},"schema_version":"1.0"},"canonical_sha256":"2da08f809e32e54818cbb74cfa88a1351c2679029580d675cace71c2ea0495fa","source":{"kind":"arxiv","id":"1707.05700","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05700","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05700v1","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05700","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"pith_short_12","alias_value":"FWQI7AE6GLSU","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FWQI7AE6GLSUQGGL","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FWQI7AE6","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FWQI7AE6GLSUQGGLW5GPVCFBGU","target":"record","payload":{"canonical_record":{"source":{"id":"1707.05700","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-18T15:46:51Z","cross_cats_sorted":["math.NT","math.RT"],"title_canon_sha256":"0dca2936bbd9437f0115dcd35220fd7fb937a5f783165416020137d5d217b987","abstract_canon_sha256":"8cfb7e1d2752c06c8122a0b0bd8558e9ed5f2e742bd12e475f5758844c19c90c"},"schema_version":"1.0"},"canonical_sha256":"2da08f809e32e54818cbb74cfa88a1351c2679029580d675cace71c2ea0495fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:01.690884Z","signature_b64":"bvZE90Y9Lh0RdLjc1Xi4Dz/AmjLahdS6wG+1e1+v3SQsJYdh3JJdqBTyogrdFq9JfTofHRguV3bwcqMFxhHpAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2da08f809e32e54818cbb74cfa88a1351c2679029580d675cace71c2ea0495fa","last_reissued_at":"2026-05-18T00:40:01.690241Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:01.690241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.05700","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YRLZYy+ZKgCI5aIHnu1Z87XJCkDyDFfa4p8HO2tySXP5/1PJPFTcqXuXu9FbEfcdTDkUpjVaO30aS99IsnqkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:37:32.353041Z"},"content_sha256":"59a0d283e1491d077e4e70c8ae0b722ca85a2bef36cda1e416a2376fd2c28ec3","schema_version":"1.0","event_id":"sha256:59a0d283e1491d077e4e70c8ae0b722ca85a2bef36cda1e416a2376fd2c28ec3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FWQI7AE6GLSUQGGLW5GPVCFBGU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cycles on Shimura varieties via geometric Satake","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT","math.RT"],"primary_cat":"math.AG","authors_text":"Liang Xiao, Xinwen Zhu","submitted_at":"2017-07-18T15:46:51Z","abstract_excerpt":"We construct (cohomological) correspondences between mod $p$ fibers of different Shimura varieties and describe the fibers of these correspondences by studying irreducible components of affine Deligne-Lusztig varieties. In particular, in the case of correspondences from a Shimura set to a Shimura variety, we obtain a description of the basic Newton stratum of the latter, and show that the irreducible components of the basic Newton stratum generate all the Tate classes in the middle cohomology of the Shimura variety, under a certain genericity condition. Along the way, we also determine the set"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05700","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qOkmPT/l46o3dBjn/DKl5hFGgqpqLXGbV12KT09L0iuKIbUJjIS8R8c7Ly8DUFbp03b4bidgNT9U+sowB+7vBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:37:32.353632Z"},"content_sha256":"2aadd8211ec2006d4abbc99d994576a134be99dd093c174b651b59b50c50dcb2","schema_version":"1.0","event_id":"sha256:2aadd8211ec2006d4abbc99d994576a134be99dd093c174b651b59b50c50dcb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FWQI7AE6GLSUQGGLW5GPVCFBGU/bundle.json","state_url":"https://pith.science/pith/FWQI7AE6GLSUQGGLW5GPVCFBGU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FWQI7AE6GLSUQGGLW5GPVCFBGU/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":"2026-05-21T19:37:32Z","links":{"resolver":"https://pith.science/pith/FWQI7AE6GLSUQGGLW5GPVCFBGU","bundle":"https://pith.science/pith/FWQI7AE6GLSUQGGLW5GPVCFBGU/bundle.json","state":"https://pith.science/pith/FWQI7AE6GLSUQGGLW5GPVCFBGU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FWQI7AE6GLSUQGGLW5GPVCFBGU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FWQI7AE6GLSUQGGLW5GPVCFBGU","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":"8cfb7e1d2752c06c8122a0b0bd8558e9ed5f2e742bd12e475f5758844c19c90c","cross_cats_sorted":["math.NT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-18T15:46:51Z","title_canon_sha256":"0dca2936bbd9437f0115dcd35220fd7fb937a5f783165416020137d5d217b987"},"schema_version":"1.0","source":{"id":"1707.05700","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05700","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05700v1","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05700","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"pith_short_12","alias_value":"FWQI7AE6GLSU","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FWQI7AE6GLSUQGGL","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FWQI7AE6","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:2aadd8211ec2006d4abbc99d994576a134be99dd093c174b651b59b50c50dcb2","target":"graph","created_at":"2026-05-18T00:40:01Z","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":"We construct (cohomological) correspondences between mod $p$ fibers of different Shimura varieties and describe the fibers of these correspondences by studying irreducible components of affine Deligne-Lusztig varieties. In particular, in the case of correspondences from a Shimura set to a Shimura variety, we obtain a description of the basic Newton stratum of the latter, and show that the irreducible components of the basic Newton stratum generate all the Tate classes in the middle cohomology of the Shimura variety, under a certain genericity condition. Along the way, we also determine the set","authors_text":"Liang Xiao, Xinwen Zhu","cross_cats":["math.NT","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-18T15:46:51Z","title":"Cycles on Shimura varieties via geometric Satake"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05700","kind":"arxiv","version":1},"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":"sha256:59a0d283e1491d077e4e70c8ae0b722ca85a2bef36cda1e416a2376fd2c28ec3","target":"record","created_at":"2026-05-18T00:40:01Z","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":"8cfb7e1d2752c06c8122a0b0bd8558e9ed5f2e742bd12e475f5758844c19c90c","cross_cats_sorted":["math.NT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-18T15:46:51Z","title_canon_sha256":"0dca2936bbd9437f0115dcd35220fd7fb937a5f783165416020137d5d217b987"},"schema_version":"1.0","source":{"id":"1707.05700","kind":"arxiv","version":1}},"canonical_sha256":"2da08f809e32e54818cbb74cfa88a1351c2679029580d675cace71c2ea0495fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2da08f809e32e54818cbb74cfa88a1351c2679029580d675cace71c2ea0495fa","first_computed_at":"2026-05-18T00:40:01.690241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:01.690241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bvZE90Y9Lh0RdLjc1Xi4Dz/AmjLahdS6wG+1e1+v3SQsJYdh3JJdqBTyogrdFq9JfTofHRguV3bwcqMFxhHpAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:01.690884Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05700","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59a0d283e1491d077e4e70c8ae0b722ca85a2bef36cda1e416a2376fd2c28ec3","sha256:2aadd8211ec2006d4abbc99d994576a134be99dd093c174b651b59b50c50dcb2"],"state_sha256":"ef8ed2bd6f95f84f3508b10d9af2d1fb35cc61710d73172bca5942ca929a363f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pdgIQnPRl9lztWXyBNUxXJl/TTBIDI5emK5AT/nn167llUnqkJcBmJb1rJgwH7gnqKSi09s2thIJ7KlhHcMXAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T19:37:32.356745Z","bundle_sha256":"23ff788d4ff7e5510af3ca5b77af818c9f4155df80f21d51a2ca547ca1b5c8b7"}}