{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:I3ZI7MRE2MN4DAOC3IRTUOHNSY","short_pith_number":"pith:I3ZI7MRE","schema_version":"1.0","canonical_sha256":"46f28fb224d31bc181c2da233a38ed9624ea6e4ce2aa266c79b5fa0ec5a6a4ee","source":{"kind":"arxiv","id":"1110.6788","version":2},"attestation_state":"computed","paper":{"title":"Descent Construction for GSpin Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Eitan Sayag, Joseph Hundley","submitted_at":"2011-10-31T13:34:20Z","abstract_excerpt":"In this paper we provide an extension of the theory of descent of Ginzburg-Rallis- Soudry to the context of essentially self-dual representations, that is representations which are isomorphic to the twist of their own contragredient by some Hecke character. Our theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) GSpin(2n) to GL(2n)."},"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":"1110.6788","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-10-31T13:34:20Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"6297d738caca6be43a4db50e0d56182fca60141552cc20b05050b2d3e5cfeb21","abstract_canon_sha256":"5caa4403576c51b2c1b4065598f28786ec2d7296b092ded955096d21d6af9736"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:07.534019Z","signature_b64":"MpyKvJD/2zNFHouEQANyvqZrVFHN3gz8eMhO31fzHIl8Qdn2HNwF7UPIJrTOVcM8iGfBZJsTSVk+Xk+JpZnfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46f28fb224d31bc181c2da233a38ed9624ea6e4ce2aa266c79b5fa0ec5a6a4ee","last_reissued_at":"2026-05-18T03:43:07.533217Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:07.533217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Descent Construction for GSpin Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Eitan Sayag, Joseph Hundley","submitted_at":"2011-10-31T13:34:20Z","abstract_excerpt":"In this paper we provide an extension of the theory of descent of Ginzburg-Rallis- Soudry to the context of essentially self-dual representations, that is representations which are isomorphic to the twist of their own contragredient by some Hecke character. Our theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) GSpin(2n) to GL(2n)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6788","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":"1110.6788","created_at":"2026-05-18T03:43:07.533347+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.6788v2","created_at":"2026-05-18T03:43:07.533347+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6788","created_at":"2026-05-18T03:43:07.533347+00:00"},{"alias_kind":"pith_short_12","alias_value":"I3ZI7MRE2MN4","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"I3ZI7MRE2MN4DAOC","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"I3ZI7MRE","created_at":"2026-05-18T12:26:30.835961+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/I3ZI7MRE2MN4DAOC3IRTUOHNSY","json":"https://pith.science/pith/I3ZI7MRE2MN4DAOC3IRTUOHNSY.json","graph_json":"https://pith.science/api/pith-number/I3ZI7MRE2MN4DAOC3IRTUOHNSY/graph.json","events_json":"https://pith.science/api/pith-number/I3ZI7MRE2MN4DAOC3IRTUOHNSY/events.json","paper":"https://pith.science/paper/I3ZI7MRE"},"agent_actions":{"view_html":"https://pith.science/pith/I3ZI7MRE2MN4DAOC3IRTUOHNSY","download_json":"https://pith.science/pith/I3ZI7MRE2MN4DAOC3IRTUOHNSY.json","view_paper":"https://pith.science/paper/I3ZI7MRE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.6788&json=true","fetch_graph":"https://pith.science/api/pith-number/I3ZI7MRE2MN4DAOC3IRTUOHNSY/graph.json","fetch_events":"https://pith.science/api/pith-number/I3ZI7MRE2MN4DAOC3IRTUOHNSY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I3ZI7MRE2MN4DAOC3IRTUOHNSY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I3ZI7MRE2MN4DAOC3IRTUOHNSY/action/storage_attestation","attest_author":"https://pith.science/pith/I3ZI7MRE2MN4DAOC3IRTUOHNSY/action/author_attestation","sign_citation":"https://pith.science/pith/I3ZI7MRE2MN4DAOC3IRTUOHNSY/action/citation_signature","submit_replication":"https://pith.science/pith/I3ZI7MRE2MN4DAOC3IRTUOHNSY/action/replication_record"}},"created_at":"2026-05-18T03:43:07.533347+00:00","updated_at":"2026-05-18T03:43:07.533347+00:00"}