{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:R542PVAWWC45E5OGUZ34XT63CO","short_pith_number":"pith:R542PVAW","canonical_record":{"source":{"id":"1204.0132","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-31T20:40:32Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"b6d9f46d52a748250cc0240290d705d076bdf46c1990a9dc35bb1f3a2e9f5624","abstract_canon_sha256":"f9d860eb1b54af6b0a85b07edafd9b3ecced561d961053ba64edff59b6deaea3"},"schema_version":"1.0"},"canonical_sha256":"8f79a7d416b0b9d275c6a677cbcfdb13a04c2119336c1901ee8c042a4ded63c1","source":{"kind":"arxiv","id":"1204.0132","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0132","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0132v2","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0132","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"pith_short_12","alias_value":"R542PVAWWC45","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"R542PVAWWC45E5OG","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"R542PVAW","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:R542PVAWWC45E5OGUZ34XT63CO","target":"record","payload":{"canonical_record":{"source":{"id":"1204.0132","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-31T20:40:32Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"b6d9f46d52a748250cc0240290d705d076bdf46c1990a9dc35bb1f3a2e9f5624","abstract_canon_sha256":"f9d860eb1b54af6b0a85b07edafd9b3ecced561d961053ba64edff59b6deaea3"},"schema_version":"1.0"},"canonical_sha256":"8f79a7d416b0b9d275c6a677cbcfdb13a04c2119336c1901ee8c042a4ded63c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:57.174619Z","signature_b64":"6goZtkHEX8t007Vl/+auSIejVmFv4GZl1VTrv465bKbAf/jM9gt9DWTNfAVYQDO2xQQfuQVJf+/0F/cFOdErDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f79a7d416b0b9d275c6a677cbcfdb13a04c2119336c1901ee8c042a4ded63c1","last_reissued_at":"2026-05-18T03:55:57.174181Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:57.174181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.0132","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":"2026-05-18T03:55:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ii+Ey/YaKWQfzfsc//RL5cpJ3Rou2tPXId34sohnJ6LepC5LK7+QibaL64WoSPZs3IS/uSuhxKgSyuKiCaxLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:03:50.352437Z"},"content_sha256":"b2a4c0ca10f4a478ee740f253d93a619fd8c8bc16d9858ed7ebfd2b9ed8a1e0f","schema_version":"1.0","event_id":"sha256:b2a4c0ca10f4a478ee740f253d93a619fd8c8bc16d9858ed7ebfd2b9ed8a1e0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:R542PVAWWC45E5OGUZ34XT63CO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Genericity and contragredience in the local Langlands correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Tasho Kaletha","submitted_at":"2012-03-31T20:40:32Z","abstract_excerpt":"We prove the recent conjectures of Adams-Vogan and D. Prasad on the behavior of the local Langlands correspondence with respect to taking the contragredient of a representation. The proof holds for tempered representations of quasi-split real K-groups and quasi-split p-adic classical groups (in the sense of Arthur). We also prove a formula for the behavior of the local Langlands correspondence for these groups with respect to changes of the Whittaker data."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0132","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":"2026-05-18T03:55:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"exIFMnFWZ1T0tTTrzycXPGIcn0SSKwc/toj05+FgHVM7tUxVo+msJ4cQuDHzJ1MEPmfiUTwNppnAZzepAQmhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:03:50.352792Z"},"content_sha256":"b2f51a8a29f2bc1c61b0a517baa09499a2ba61677d4bd9c99c7b424884807c8c","schema_version":"1.0","event_id":"sha256:b2f51a8a29f2bc1c61b0a517baa09499a2ba61677d4bd9c99c7b424884807c8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R542PVAWWC45E5OGUZ34XT63CO/bundle.json","state_url":"https://pith.science/pith/R542PVAWWC45E5OGUZ34XT63CO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R542PVAWWC45E5OGUZ34XT63CO/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":"2026-05-28T23:03:50Z","links":{"resolver":"https://pith.science/pith/R542PVAWWC45E5OGUZ34XT63CO","bundle":"https://pith.science/pith/R542PVAWWC45E5OGUZ34XT63CO/bundle.json","state":"https://pith.science/pith/R542PVAWWC45E5OGUZ34XT63CO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R542PVAWWC45E5OGUZ34XT63CO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:R542PVAWWC45E5OGUZ34XT63CO","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":"f9d860eb1b54af6b0a85b07edafd9b3ecced561d961053ba64edff59b6deaea3","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-31T20:40:32Z","title_canon_sha256":"b6d9f46d52a748250cc0240290d705d076bdf46c1990a9dc35bb1f3a2e9f5624"},"schema_version":"1.0","source":{"id":"1204.0132","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0132","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0132v2","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0132","created_at":"2026-05-18T03:55:57Z"},{"alias_kind":"pith_short_12","alias_value":"R542PVAWWC45","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"R542PVAWWC45E5OG","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"R542PVAW","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:b2f51a8a29f2bc1c61b0a517baa09499a2ba61677d4bd9c99c7b424884807c8c","target":"graph","created_at":"2026-05-18T03:55:57Z","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 prove the recent conjectures of Adams-Vogan and D. Prasad on the behavior of the local Langlands correspondence with respect to taking the contragredient of a representation. The proof holds for tempered representations of quasi-split real K-groups and quasi-split p-adic classical groups (in the sense of Arthur). We also prove a formula for the behavior of the local Langlands correspondence for these groups with respect to changes of the Whittaker data.","authors_text":"Tasho Kaletha","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-31T20:40:32Z","title":"Genericity and contragredience in the local Langlands correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0132","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:b2a4c0ca10f4a478ee740f253d93a619fd8c8bc16d9858ed7ebfd2b9ed8a1e0f","target":"record","created_at":"2026-05-18T03:55:57Z","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":"f9d860eb1b54af6b0a85b07edafd9b3ecced561d961053ba64edff59b6deaea3","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-03-31T20:40:32Z","title_canon_sha256":"b6d9f46d52a748250cc0240290d705d076bdf46c1990a9dc35bb1f3a2e9f5624"},"schema_version":"1.0","source":{"id":"1204.0132","kind":"arxiv","version":2}},"canonical_sha256":"8f79a7d416b0b9d275c6a677cbcfdb13a04c2119336c1901ee8c042a4ded63c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f79a7d416b0b9d275c6a677cbcfdb13a04c2119336c1901ee8c042a4ded63c1","first_computed_at":"2026-05-18T03:55:57.174181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:57.174181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6goZtkHEX8t007Vl/+auSIejVmFv4GZl1VTrv465bKbAf/jM9gt9DWTNfAVYQDO2xQQfuQVJf+/0F/cFOdErDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:57.174619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0132","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2a4c0ca10f4a478ee740f253d93a619fd8c8bc16d9858ed7ebfd2b9ed8a1e0f","sha256:b2f51a8a29f2bc1c61b0a517baa09499a2ba61677d4bd9c99c7b424884807c8c"],"state_sha256":"379e5ac092d7a28ad3234c09af9dd3c567262a33cd56a4aca75db3cb8d3b6642"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0b4a1fQR31EoBjIcQzMz86X8It+IdF2exlCVC6HdA2OvIYi9Y3WkKsbwjpO9FqXC8jyI7TgyR1FuWuTE30B2CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T23:03:50.355057Z","bundle_sha256":"80e2917b3f605fc5b90bf52ffc7eac19df41a53e875edf702a3644047ed22308"}}