{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:YBOZQU2HE2SACC63FO5CTZPHR6","short_pith_number":"pith:YBOZQU2H","canonical_record":{"source":{"id":"2404.07111","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-10T15:51:40Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"0f67889e54b5a69041b5143886c024a6bd51805326181a54324453f9a1ab17d6","abstract_canon_sha256":"0fea68732414ee0c183ba7d0bc338ad2996c30b5f8e49dd952b055814750e936"},"schema_version":"1.0"},"canonical_sha256":"c05d98534726a4010bdb2bba29e5e78f9db065616492c0b8f8dcb4fd99e9668d","source":{"kind":"arxiv","id":"2404.07111","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.07111","created_at":"2026-07-05T08:07:16Z"},{"alias_kind":"arxiv_version","alias_value":"2404.07111v2","created_at":"2026-07-05T08:07:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.07111","created_at":"2026-07-05T08:07:16Z"},{"alias_kind":"pith_short_12","alias_value":"YBOZQU2HE2SA","created_at":"2026-07-05T08:07:16Z"},{"alias_kind":"pith_short_16","alias_value":"YBOZQU2HE2SACC63","created_at":"2026-07-05T08:07:16Z"},{"alias_kind":"pith_short_8","alias_value":"YBOZQU2H","created_at":"2026-07-05T08:07:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:YBOZQU2HE2SACC63FO5CTZPHR6","target":"record","payload":{"canonical_record":{"source":{"id":"2404.07111","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-10T15:51:40Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"0f67889e54b5a69041b5143886c024a6bd51805326181a54324453f9a1ab17d6","abstract_canon_sha256":"0fea68732414ee0c183ba7d0bc338ad2996c30b5f8e49dd952b055814750e936"},"schema_version":"1.0"},"canonical_sha256":"c05d98534726a4010bdb2bba29e5e78f9db065616492c0b8f8dcb4fd99e9668d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:07:16.811101Z","signature_b64":"Xo1SZKqVe/h3pLLKHFPlVxZJqLDQSbB8pbP/LkFvRjvqbEbTH3DDLe4a7g1xPbaufXDKcRm1a8q2Vcf2d8QRDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c05d98534726a4010bdb2bba29e5e78f9db065616492c0b8f8dcb4fd99e9668d","last_reissued_at":"2026-07-05T08:07:16.810636Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:07:16.810636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.07111","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":"2026-07-05T08:07:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PWY6WKJv3xKFhztvQXxBqbblFKhblOxylZXNHb8CGm01m1fPDlZ7rDqGxD7Z+Fu8ryFCdsRxwU79i2TIUClmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T18:19:50.634677Z"},"content_sha256":"e7bc70a310007a19a2693cdf84ffb4566746d30fe8d66cfbf8ff6d1511e91f33","schema_version":"1.0","event_id":"sha256:e7bc70a310007a19a2693cdf84ffb4566746d30fe8d66cfbf8ff6d1511e91f33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:YBOZQU2HE2SACC63FO5CTZPHR6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The generic dual of p-adic groups and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Baiying Liu, Chris Jantzen","submitted_at":"2024-04-10T15:51:40Z","abstract_excerpt":"In this paper, we give a uniform classification of the generic dual of quasi-split classical groups, their similitude counterparts, and general spin groups. As applications, for quasi-split classical groups, we show that the functorial lifting maps constructed by Cogdell, Kim, Piatetski-Shapiro and Shahidi are surjective. We also analyze structures of general local Langlands parameters and explicitly construct a distinguished element for each local L-packet."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.07111","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.07111/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:07:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SXEU/L7SUmbuvCiwlQpGL8iHrUtp7huAcsUVuOFa5Fnl5Wfa3leklp4GAD0cFuw+mNTpN87kykjZcJQm1EcVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T18:19:50.635323Z"},"content_sha256":"535805b2ca693c805de4f66775a14dc4baa24ff72284ffebbe6dc27d609c0365","schema_version":"1.0","event_id":"sha256:535805b2ca693c805de4f66775a14dc4baa24ff72284ffebbe6dc27d609c0365"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBOZQU2HE2SACC63FO5CTZPHR6/bundle.json","state_url":"https://pith.science/pith/YBOZQU2HE2SACC63FO5CTZPHR6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBOZQU2HE2SACC63FO5CTZPHR6/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":"2026-08-19T18:19:50Z","links":{"resolver":"https://pith.science/pith/YBOZQU2HE2SACC63FO5CTZPHR6","bundle":"https://pith.science/pith/YBOZQU2HE2SACC63FO5CTZPHR6/bundle.json","state":"https://pith.science/pith/YBOZQU2HE2SACC63FO5CTZPHR6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBOZQU2HE2SACC63FO5CTZPHR6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YBOZQU2HE2SACC63FO5CTZPHR6","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":"0fea68732414ee0c183ba7d0bc338ad2996c30b5f8e49dd952b055814750e936","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-10T15:51:40Z","title_canon_sha256":"0f67889e54b5a69041b5143886c024a6bd51805326181a54324453f9a1ab17d6"},"schema_version":"1.0","source":{"id":"2404.07111","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.07111","created_at":"2026-07-05T08:07:16Z"},{"alias_kind":"arxiv_version","alias_value":"2404.07111v2","created_at":"2026-07-05T08:07:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.07111","created_at":"2026-07-05T08:07:16Z"},{"alias_kind":"pith_short_12","alias_value":"YBOZQU2HE2SA","created_at":"2026-07-05T08:07:16Z"},{"alias_kind":"pith_short_16","alias_value":"YBOZQU2HE2SACC63","created_at":"2026-07-05T08:07:16Z"},{"alias_kind":"pith_short_8","alias_value":"YBOZQU2H","created_at":"2026-07-05T08:07:16Z"}],"graph_snapshots":[{"event_id":"sha256:535805b2ca693c805de4f66775a14dc4baa24ff72284ffebbe6dc27d609c0365","target":"graph","created_at":"2026-07-05T08:07:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.07111/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we give a uniform classification of the generic dual of quasi-split classical groups, their similitude counterparts, and general spin groups. As applications, for quasi-split classical groups, we show that the functorial lifting maps constructed by Cogdell, Kim, Piatetski-Shapiro and Shahidi are surjective. We also analyze structures of general local Langlands parameters and explicitly construct a distinguished element for each local L-packet.","authors_text":"Baiying Liu, Chris Jantzen","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-10T15:51:40Z","title":"The generic dual of p-adic groups and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.07111","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:e7bc70a310007a19a2693cdf84ffb4566746d30fe8d66cfbf8ff6d1511e91f33","target":"record","created_at":"2026-07-05T08:07:16Z","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":"0fea68732414ee0c183ba7d0bc338ad2996c30b5f8e49dd952b055814750e936","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-04-10T15:51:40Z","title_canon_sha256":"0f67889e54b5a69041b5143886c024a6bd51805326181a54324453f9a1ab17d6"},"schema_version":"1.0","source":{"id":"2404.07111","kind":"arxiv","version":2}},"canonical_sha256":"c05d98534726a4010bdb2bba29e5e78f9db065616492c0b8f8dcb4fd99e9668d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c05d98534726a4010bdb2bba29e5e78f9db065616492c0b8f8dcb4fd99e9668d","first_computed_at":"2026-07-05T08:07:16.810636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:07:16.810636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xo1SZKqVe/h3pLLKHFPlVxZJqLDQSbB8pbP/LkFvRjvqbEbTH3DDLe4a7g1xPbaufXDKcRm1a8q2Vcf2d8QRDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:07:16.811101Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.07111","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7bc70a310007a19a2693cdf84ffb4566746d30fe8d66cfbf8ff6d1511e91f33","sha256:535805b2ca693c805de4f66775a14dc4baa24ff72284ffebbe6dc27d609c0365"],"state_sha256":"bbbdcf146cda02cb683de9dbd6ce7714cf48f61920c6c45fe8a1ea6687b9fa8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qKTEhPytCW86RTXMrHaICT7m4PvAfBlpc11dNSfZ4/HxSyYTPHrhUPDy/NAIrCBUR3is1UiiBKwli2V7Qqf1Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T18:19:50.660631Z","bundle_sha256":"0694fbcb07034724fc57ebe6bafabac4d91d0b45713b2ca9aa3b5631869fb2ef"}}