{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:OXAIU7SY4I5OFTAP5WGWK7UQKX","short_pith_number":"pith:OXAIU7SY","canonical_record":{"source":{"id":"1202.4683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T15:58:45Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"e4f337932654192181ee8b1e3110b6b73eaad606ab6bfbe6329e5cea141dd829","abstract_canon_sha256":"d038b97b9764f4300c10275f043be0f2b86d99cc7fb4dddd0de4ebee5e65710b"},"schema_version":"1.0"},"canonical_sha256":"75c08a7e58e23ae2cc0fed8d657e9055e599d2ea8c24860fcef3651a9f984dec","source":{"kind":"arxiv","id":"1202.4683","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4683","created_at":"2026-05-18T01:22:26Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4683v1","created_at":"2026-05-18T01:22:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4683","created_at":"2026-05-18T01:22:26Z"},{"alias_kind":"pith_short_12","alias_value":"OXAIU7SY4I5O","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OXAIU7SY4I5OFTAP","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OXAIU7SY","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:OXAIU7SY4I5OFTAP5WGWK7UQKX","target":"record","payload":{"canonical_record":{"source":{"id":"1202.4683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T15:58:45Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"e4f337932654192181ee8b1e3110b6b73eaad606ab6bfbe6329e5cea141dd829","abstract_canon_sha256":"d038b97b9764f4300c10275f043be0f2b86d99cc7fb4dddd0de4ebee5e65710b"},"schema_version":"1.0"},"canonical_sha256":"75c08a7e58e23ae2cc0fed8d657e9055e599d2ea8c24860fcef3651a9f984dec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:26.866499Z","signature_b64":"HTKi1/qUYbp1hQi5aps1Pvm+rD7l0VomM/ZafKPpkGDVO49USzigpcpRC1kbz518Y1XAsS8lcFtZ54AUN1eyCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75c08a7e58e23ae2cc0fed8d657e9055e599d2ea8c24860fcef3651a9f984dec","last_reissued_at":"2026-05-18T01:22:26.865846Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:26.865846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.4683","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":"2026-05-18T01:22:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x1njD0IdcR7eVXOXkmHFgbEz/wIiI9OUbeKxLHHDwSwruxz/CIXHe7Bf63FVwGAztcMSlu05F3ULxCe+3MA1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T13:09:18.707664Z"},"content_sha256":"d2c73b558c1bbddccdb36b801f120e4471a6c66783a956a67d5492d55ae89f1f","schema_version":"1.0","event_id":"sha256:d2c73b558c1bbddccdb36b801f120e4471a6c66783a956a67d5492d55ae89f1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:OXAIU7SY4I5OFTAP5WGWK7UQKX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Monodromy and local-global compatibility for l=p","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Ana Caraiani","submitted_at":"2012-02-21T15:58:45Z","abstract_excerpt":"We strengthen the compatibility between local and global Langlands correspondences for GL_{n} when n is even and l=p. Let L be a CM field and \\Pi\\ a cuspidal automorphic representation of GL_{n}(\\mathbb{A}_{L}) which is conjugate self-dual and regular algebraic. In this case, there is an l-adic Galois representation associated to \\Pi, which is known to be compatible with local Langlands in almost all cases when l=p by recent work of Barnet-Lamb, Gee, Geraghty and Taylor. The compatibility was proved only up to semisimplification unless \\Pi\\ has Shin-regular weight. We extend the compatibility "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4683","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":"2026-05-18T01:22:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yJnxEIzKY4PdQ9d+moy0ie2Ze+6qZotehktUUHNoOj100w86+RLx0SlLok1Jb4Tn9jaOAuQVv+s68AWocZdFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T13:09:18.708011Z"},"content_sha256":"76ef8177054812c2a34853ecf84bef02db4edbd6b5f0bc166e5928063b23ee89","schema_version":"1.0","event_id":"sha256:76ef8177054812c2a34853ecf84bef02db4edbd6b5f0bc166e5928063b23ee89"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OXAIU7SY4I5OFTAP5WGWK7UQKX/bundle.json","state_url":"https://pith.science/pith/OXAIU7SY4I5OFTAP5WGWK7UQKX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OXAIU7SY4I5OFTAP5WGWK7UQKX/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":"2026-06-09T13:09:18Z","links":{"resolver":"https://pith.science/pith/OXAIU7SY4I5OFTAP5WGWK7UQKX","bundle":"https://pith.science/pith/OXAIU7SY4I5OFTAP5WGWK7UQKX/bundle.json","state":"https://pith.science/pith/OXAIU7SY4I5OFTAP5WGWK7UQKX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OXAIU7SY4I5OFTAP5WGWK7UQKX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OXAIU7SY4I5OFTAP5WGWK7UQKX","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":"d038b97b9764f4300c10275f043be0f2b86d99cc7fb4dddd0de4ebee5e65710b","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T15:58:45Z","title_canon_sha256":"e4f337932654192181ee8b1e3110b6b73eaad606ab6bfbe6329e5cea141dd829"},"schema_version":"1.0","source":{"id":"1202.4683","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4683","created_at":"2026-05-18T01:22:26Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4683v1","created_at":"2026-05-18T01:22:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4683","created_at":"2026-05-18T01:22:26Z"},{"alias_kind":"pith_short_12","alias_value":"OXAIU7SY4I5O","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OXAIU7SY4I5OFTAP","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OXAIU7SY","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:76ef8177054812c2a34853ecf84bef02db4edbd6b5f0bc166e5928063b23ee89","target":"graph","created_at":"2026-05-18T01:22:26Z","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 strengthen the compatibility between local and global Langlands correspondences for GL_{n} when n is even and l=p. Let L be a CM field and \\Pi\\ a cuspidal automorphic representation of GL_{n}(\\mathbb{A}_{L}) which is conjugate self-dual and regular algebraic. In this case, there is an l-adic Galois representation associated to \\Pi, which is known to be compatible with local Langlands in almost all cases when l=p by recent work of Barnet-Lamb, Gee, Geraghty and Taylor. The compatibility was proved only up to semisimplification unless \\Pi\\ has Shin-regular weight. We extend the compatibility ","authors_text":"Ana Caraiani","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T15:58:45Z","title":"Monodromy and local-global compatibility for l=p"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4683","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:d2c73b558c1bbddccdb36b801f120e4471a6c66783a956a67d5492d55ae89f1f","target":"record","created_at":"2026-05-18T01:22:26Z","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":"d038b97b9764f4300c10275f043be0f2b86d99cc7fb4dddd0de4ebee5e65710b","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T15:58:45Z","title_canon_sha256":"e4f337932654192181ee8b1e3110b6b73eaad606ab6bfbe6329e5cea141dd829"},"schema_version":"1.0","source":{"id":"1202.4683","kind":"arxiv","version":1}},"canonical_sha256":"75c08a7e58e23ae2cc0fed8d657e9055e599d2ea8c24860fcef3651a9f984dec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75c08a7e58e23ae2cc0fed8d657e9055e599d2ea8c24860fcef3651a9f984dec","first_computed_at":"2026-05-18T01:22:26.865846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:26.865846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HTKi1/qUYbp1hQi5aps1Pvm+rD7l0VomM/ZafKPpkGDVO49USzigpcpRC1kbz518Y1XAsS8lcFtZ54AUN1eyCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:26.866499Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4683","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2c73b558c1bbddccdb36b801f120e4471a6c66783a956a67d5492d55ae89f1f","sha256:76ef8177054812c2a34853ecf84bef02db4edbd6b5f0bc166e5928063b23ee89"],"state_sha256":"fd9907da302f71d34265a06faf29e73c7f50dd4deb61d93c3d7107b76f153848"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AGCs5aWN6J70u5vH+DXnFCgdjAPUK3stKvid672kV+RJWuiGka0Vjoc012CRkiTp+BFCu4+E2x91/26XHGyXCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T13:09:18.710078Z","bundle_sha256":"e415cf6e8eb6d04154e1648acb876f8aa5b339ca5cf08411c5300e001fb06a8d"}}