{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:3VRBBM2BY2H7CQ2WSV5RTCBHDN","short_pith_number":"pith:3VRBBM2B","schema_version":"1.0","canonical_sha256":"dd6210b341c68ff14356957b1988271b5a258109d816ad883d6ddc07797f2cc3","source":{"kind":"arxiv","id":"1511.03713","version":2},"attestation_state":"computed","paper":{"title":"Stability of Rankin-Selberg gamma factors for $\\textrm{Sp}(2n)$, $\\widetilde{ \\textrm{Sp}}(2n)$ and $\\textrm{U}(n,n)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Qing Zhang","submitted_at":"2015-11-11T22:20:26Z","abstract_excerpt":"Let $F$ be a $p$-adic field and $E/F$ be a quadratic extension. In this paper, we prove the stability of Rankin-Selberg gamma factors for $\\textrm{Sp}_{2n}(F)$, $\\widetilde {\\textrm{Sp}}_{2n}(F)$ and $\\textrm{U}_{E/F}(n,n)$ when the characteristic of the residue field of $F$ is not $2$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1511.03713","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-11-11T22:20:26Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"50ece2f9b5986982a5be6dda5dbc851395845790788c26e9be0f47b1001f5c11","abstract_canon_sha256":"29beb4558f9d63f014c3ecf11770a4535f0e41dcb453fcb7d0b57a74d3877e9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:09.930607Z","signature_b64":"LZ0n2l69VzlqLdLycsfAQEFDbmbq67hLR2/6pfbAEgfdDMfqVkG4sDLbAZDgqK45XPNhkNhTh3Z4M8MNeT/+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd6210b341c68ff14356957b1988271b5a258109d816ad883d6ddc07797f2cc3","last_reissued_at":"2026-05-18T00:44:09.930092Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:09.930092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability of Rankin-Selberg gamma factors for $\\textrm{Sp}(2n)$, $\\widetilde{ \\textrm{Sp}}(2n)$ and $\\textrm{U}(n,n)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Qing Zhang","submitted_at":"2015-11-11T22:20:26Z","abstract_excerpt":"Let $F$ be a $p$-adic field and $E/F$ be a quadratic extension. In this paper, we prove the stability of Rankin-Selberg gamma factors for $\\textrm{Sp}_{2n}(F)$, $\\widetilde {\\textrm{Sp}}_{2n}(F)$ and $\\textrm{U}_{E/F}(n,n)$ when the characteristic of the residue field of $F$ is not $2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03713","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1511.03713","created_at":"2026-05-18T00:44:09.930172+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.03713v2","created_at":"2026-05-18T00:44:09.930172+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03713","created_at":"2026-05-18T00:44:09.930172+00:00"},{"alias_kind":"pith_short_12","alias_value":"3VRBBM2BY2H7","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"3VRBBM2BY2H7CQ2W","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"3VRBBM2B","created_at":"2026-05-18T12:29:02.477457+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3VRBBM2BY2H7CQ2WSV5RTCBHDN","json":"https://pith.science/pith/3VRBBM2BY2H7CQ2WSV5RTCBHDN.json","graph_json":"https://pith.science/api/pith-number/3VRBBM2BY2H7CQ2WSV5RTCBHDN/graph.json","events_json":"https://pith.science/api/pith-number/3VRBBM2BY2H7CQ2WSV5RTCBHDN/events.json","paper":"https://pith.science/paper/3VRBBM2B"},"agent_actions":{"view_html":"https://pith.science/pith/3VRBBM2BY2H7CQ2WSV5RTCBHDN","download_json":"https://pith.science/pith/3VRBBM2BY2H7CQ2WSV5RTCBHDN.json","view_paper":"https://pith.science/paper/3VRBBM2B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.03713&json=true","fetch_graph":"https://pith.science/api/pith-number/3VRBBM2BY2H7CQ2WSV5RTCBHDN/graph.json","fetch_events":"https://pith.science/api/pith-number/3VRBBM2BY2H7CQ2WSV5RTCBHDN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3VRBBM2BY2H7CQ2WSV5RTCBHDN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3VRBBM2BY2H7CQ2WSV5RTCBHDN/action/storage_attestation","attest_author":"https://pith.science/pith/3VRBBM2BY2H7CQ2WSV5RTCBHDN/action/author_attestation","sign_citation":"https://pith.science/pith/3VRBBM2BY2H7CQ2WSV5RTCBHDN/action/citation_signature","submit_replication":"https://pith.science/pith/3VRBBM2BY2H7CQ2WSV5RTCBHDN/action/replication_record"}},"created_at":"2026-05-18T00:44:09.930172+00:00","updated_at":"2026-05-18T00:44:09.930172+00:00"}