{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:BM5SURY6XX2DISTD6EREBRCSQT","short_pith_number":"pith:BM5SURY6","canonical_record":{"source":{"id":"2508.14888","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-08-20T17:56:58Z","cross_cats_sorted":[],"title_canon_sha256":"11cab0ad87c66b403054cb2fa75dc926125141b3588c35c08eb768eb347a7822","abstract_canon_sha256":"fe8b8a8c276962fc0e1d797a2b5997a0108c2b80fc6b13fc9143dd73cca8d1b8"},"schema_version":"1.0"},"canonical_sha256":"0b3b2a471ebdf4344a63f12240c45284e58dc5eff1a50c81ee964aa58b8f6d2d","source":{"kind":"arxiv","id":"2508.14888","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.14888","created_at":"2026-07-05T12:11:19Z"},{"alias_kind":"arxiv_version","alias_value":"2508.14888v2","created_at":"2026-07-05T12:11:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.14888","created_at":"2026-07-05T12:11:19Z"},{"alias_kind":"pith_short_12","alias_value":"BM5SURY6XX2D","created_at":"2026-07-05T12:11:19Z"},{"alias_kind":"pith_short_16","alias_value":"BM5SURY6XX2DISTD","created_at":"2026-07-05T12:11:19Z"},{"alias_kind":"pith_short_8","alias_value":"BM5SURY6","created_at":"2026-07-05T12:11:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:BM5SURY6XX2DISTD6EREBRCSQT","target":"record","payload":{"canonical_record":{"source":{"id":"2508.14888","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-08-20T17:56:58Z","cross_cats_sorted":[],"title_canon_sha256":"11cab0ad87c66b403054cb2fa75dc926125141b3588c35c08eb768eb347a7822","abstract_canon_sha256":"fe8b8a8c276962fc0e1d797a2b5997a0108c2b80fc6b13fc9143dd73cca8d1b8"},"schema_version":"1.0"},"canonical_sha256":"0b3b2a471ebdf4344a63f12240c45284e58dc5eff1a50c81ee964aa58b8f6d2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:11:19.958283Z","signature_b64":"offOjBEn4QGg5bgYnQjhN1suSiSa3cDdGWlQvPL/caDAphMM6qH8QViEW6+3WsuTYzoouIxkH3+4JA2dM7AmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b3b2a471ebdf4344a63f12240c45284e58dc5eff1a50c81ee964aa58b8f6d2d","last_reissued_at":"2026-07-05T12:11:19.957742Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:11:19.957742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.14888","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":"2026-07-05T12:11:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LS0xQs7rwWx51W8HjMwMxg9ShgctQntLd9SpxzsUwg0PEMpj3zgoKziYe+MWCaE3JOBt7Xg/0StNG2QL39JeCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:00:14.281400Z"},"content_sha256":"728d6e4cc3ff4141261a5d6e9233e4f11b70edd8e3ca243f5c2dc6f8a48cd9c3","schema_version":"1.0","event_id":"sha256:728d6e4cc3ff4141261a5d6e9233e4f11b70edd8e3ca243f5c2dc6f8a48cd9c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:BM5SURY6XX2DISTD6EREBRCSQT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large sieves for $\\mathrm{GL}_n$ and applications","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alexandru Pascadi, Jesse Thorner","submitted_at":"2025-08-20T17:56:58Z","abstract_excerpt":"Let $\\mathfrak{F}_n$ be the set of unitary cuspidal automorphic representations of $\\mathrm{GL}_n$ over a number field $F$, and let $S\\subseteq\\mathfrak{F}_n$ be an arbitrary finite subset. Given $\\pi_0\\in\\mathfrak{F}_{n_0}$, we establish large sieve inequalities for the families $\\{L(s,\\pi)\\colon \\pi\\in S\\}$ and $\\{L(s,\\pi\\times\\pi_0)\\colon \\pi\\in S\\}$ that, unlike previous results, are independent of progress towards the generalized Ramanujan conjecture, and simultaneously handle the Dirichlet coefficients of $L$, $L^{-1}$, and $\\log L$. We also give the first such result that improves upon "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.14888","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/2508.14888/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":"2026-07-05T12:11:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FjLjJv8gaFrUGDsQ9s009qsaU8/d/SHvJWs7o8Hcx0HxufPDKuzSbztay3hDFMPnrWwMV8vmlS7exROs3f85Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:00:14.281949Z"},"content_sha256":"77dfba608604dece65ce4e57df3f67a2a2fdb4517373436883097c00488e4dfe","schema_version":"1.0","event_id":"sha256:77dfba608604dece65ce4e57df3f67a2a2fdb4517373436883097c00488e4dfe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BM5SURY6XX2DISTD6EREBRCSQT/bundle.json","state_url":"https://pith.science/pith/BM5SURY6XX2DISTD6EREBRCSQT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BM5SURY6XX2DISTD6EREBRCSQT/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":"2026-08-06T06:00:14Z","links":{"resolver":"https://pith.science/pith/BM5SURY6XX2DISTD6EREBRCSQT","bundle":"https://pith.science/pith/BM5SURY6XX2DISTD6EREBRCSQT/bundle.json","state":"https://pith.science/pith/BM5SURY6XX2DISTD6EREBRCSQT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BM5SURY6XX2DISTD6EREBRCSQT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:BM5SURY6XX2DISTD6EREBRCSQT","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":"fe8b8a8c276962fc0e1d797a2b5997a0108c2b80fc6b13fc9143dd73cca8d1b8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-08-20T17:56:58Z","title_canon_sha256":"11cab0ad87c66b403054cb2fa75dc926125141b3588c35c08eb768eb347a7822"},"schema_version":"1.0","source":{"id":"2508.14888","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.14888","created_at":"2026-07-05T12:11:19Z"},{"alias_kind":"arxiv_version","alias_value":"2508.14888v2","created_at":"2026-07-05T12:11:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.14888","created_at":"2026-07-05T12:11:19Z"},{"alias_kind":"pith_short_12","alias_value":"BM5SURY6XX2D","created_at":"2026-07-05T12:11:19Z"},{"alias_kind":"pith_short_16","alias_value":"BM5SURY6XX2DISTD","created_at":"2026-07-05T12:11:19Z"},{"alias_kind":"pith_short_8","alias_value":"BM5SURY6","created_at":"2026-07-05T12:11:19Z"}],"graph_snapshots":[{"event_id":"sha256:77dfba608604dece65ce4e57df3f67a2a2fdb4517373436883097c00488e4dfe","target":"graph","created_at":"2026-07-05T12:11:19Z","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/2508.14888/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $\\mathfrak{F}_n$ be the set of unitary cuspidal automorphic representations of $\\mathrm{GL}_n$ over a number field $F$, and let $S\\subseteq\\mathfrak{F}_n$ be an arbitrary finite subset. Given $\\pi_0\\in\\mathfrak{F}_{n_0}$, we establish large sieve inequalities for the families $\\{L(s,\\pi)\\colon \\pi\\in S\\}$ and $\\{L(s,\\pi\\times\\pi_0)\\colon \\pi\\in S\\}$ that, unlike previous results, are independent of progress towards the generalized Ramanujan conjecture, and simultaneously handle the Dirichlet coefficients of $L$, $L^{-1}$, and $\\log L$. We also give the first such result that improves upon ","authors_text":"Alexandru Pascadi, Jesse Thorner","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-08-20T17:56:58Z","title":"Large sieves for $\\mathrm{GL}_n$ and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.14888","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":"sha256:728d6e4cc3ff4141261a5d6e9233e4f11b70edd8e3ca243f5c2dc6f8a48cd9c3","target":"record","created_at":"2026-07-05T12:11:19Z","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":"fe8b8a8c276962fc0e1d797a2b5997a0108c2b80fc6b13fc9143dd73cca8d1b8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-08-20T17:56:58Z","title_canon_sha256":"11cab0ad87c66b403054cb2fa75dc926125141b3588c35c08eb768eb347a7822"},"schema_version":"1.0","source":{"id":"2508.14888","kind":"arxiv","version":2}},"canonical_sha256":"0b3b2a471ebdf4344a63f12240c45284e58dc5eff1a50c81ee964aa58b8f6d2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b3b2a471ebdf4344a63f12240c45284e58dc5eff1a50c81ee964aa58b8f6d2d","first_computed_at":"2026-07-05T12:11:19.957742Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:11:19.957742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"offOjBEn4QGg5bgYnQjhN1suSiSa3cDdGWlQvPL/caDAphMM6qH8QViEW6+3WsuTYzoouIxkH3+4JA2dM7AmDg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:11:19.958283Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.14888","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:728d6e4cc3ff4141261a5d6e9233e4f11b70edd8e3ca243f5c2dc6f8a48cd9c3","sha256:77dfba608604dece65ce4e57df3f67a2a2fdb4517373436883097c00488e4dfe"],"state_sha256":"41aabfdd1a69a14373209e3ef8a03fd54bb621aa23485a6e8c4e7cce54412b68"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TPipeuZ91vLldtnELEJCLhS9lBkTwXPfGW93DywCxXB2GOOQLRVSjVX4+/59abbNphZrlzSGCRBf9HZuEmNxBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T06:00:14.287606Z","bundle_sha256":"f18a997c099333d732a13e842d30b052236552664799219c17503945901d5ee2"}}