{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:RCOSOLE243B7JTVBAHYUUKNNGI","short_pith_number":"pith:RCOSOLE2","schema_version":"1.0","canonical_sha256":"889d272c9ae6c3f4cea101f14a29ad3218eb07f317e2eed3bda668af582e70ba","source":{"kind":"arxiv","id":"1110.6596","version":1},"attestation_state":"computed","paper":{"title":"Extended quotients in the principal series of reductive p-adic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Anne-Marie Aubert, Paul Baum, Roger Plymen","submitted_at":"2011-10-30T10:26:17Z","abstract_excerpt":"The geometric conjecture developed by the authors in [1,2,3,4] applies to the smooth dual Irr(G) of any reductive p-adic group G. It predicts a definite geometric structure - the structure of an extended quotient - for each component in the Bernstein decomposition of Irr(G).\n  In this article, we prove the geometric conjecture for the principal series in any split connected reductive p-adic group G. The proof proceeds via Springer parameters and Langlands parameters. As a consequence of this approach, we establish strong links with the local Langlands correspondence.\n  One important feature of"},"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":"1110.6596","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-10-30T10:26:17Z","cross_cats_sorted":[],"title_canon_sha256":"fbd3e3d6a7d1e37bf21c154a6b9153e1f4b19ea7cda9f9a62a174a4be1f171b1","abstract_canon_sha256":"40b9352e15b8ec7861f7aeafa86a3fe256fcafc6f724742139bb8eedce041dfe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:55.124815Z","signature_b64":"XLPCcvvrc6IlX1y1Un5oTofeLIDe3Hr2gDrJqcc17SnSTKWB96A9C4qYzlQi3IJU7efpKL0lUnYHjaoE5NHWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"889d272c9ae6c3f4cea101f14a29ad3218eb07f317e2eed3bda668af582e70ba","last_reissued_at":"2026-05-18T04:09:55.124126Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:55.124126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extended quotients in the principal series of reductive p-adic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Anne-Marie Aubert, Paul Baum, Roger Plymen","submitted_at":"2011-10-30T10:26:17Z","abstract_excerpt":"The geometric conjecture developed by the authors in [1,2,3,4] applies to the smooth dual Irr(G) of any reductive p-adic group G. It predicts a definite geometric structure - the structure of an extended quotient - for each component in the Bernstein decomposition of Irr(G).\n  In this article, we prove the geometric conjecture for the principal series in any split connected reductive p-adic group G. The proof proceeds via Springer parameters and Langlands parameters. As a consequence of this approach, we establish strong links with the local Langlands correspondence.\n  One important feature of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6596","kind":"arxiv","version":1},"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":"1110.6596","created_at":"2026-05-18T04:09:55.124224+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.6596v1","created_at":"2026-05-18T04:09:55.124224+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6596","created_at":"2026-05-18T04:09:55.124224+00:00"},{"alias_kind":"pith_short_12","alias_value":"RCOSOLE243B7","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"RCOSOLE243B7JTVB","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"RCOSOLE2","created_at":"2026-05-18T12:26:41.206345+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/RCOSOLE243B7JTVBAHYUUKNNGI","json":"https://pith.science/pith/RCOSOLE243B7JTVBAHYUUKNNGI.json","graph_json":"https://pith.science/api/pith-number/RCOSOLE243B7JTVBAHYUUKNNGI/graph.json","events_json":"https://pith.science/api/pith-number/RCOSOLE243B7JTVBAHYUUKNNGI/events.json","paper":"https://pith.science/paper/RCOSOLE2"},"agent_actions":{"view_html":"https://pith.science/pith/RCOSOLE243B7JTVBAHYUUKNNGI","download_json":"https://pith.science/pith/RCOSOLE243B7JTVBAHYUUKNNGI.json","view_paper":"https://pith.science/paper/RCOSOLE2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.6596&json=true","fetch_graph":"https://pith.science/api/pith-number/RCOSOLE243B7JTVBAHYUUKNNGI/graph.json","fetch_events":"https://pith.science/api/pith-number/RCOSOLE243B7JTVBAHYUUKNNGI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RCOSOLE243B7JTVBAHYUUKNNGI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RCOSOLE243B7JTVBAHYUUKNNGI/action/storage_attestation","attest_author":"https://pith.science/pith/RCOSOLE243B7JTVBAHYUUKNNGI/action/author_attestation","sign_citation":"https://pith.science/pith/RCOSOLE243B7JTVBAHYUUKNNGI/action/citation_signature","submit_replication":"https://pith.science/pith/RCOSOLE243B7JTVBAHYUUKNNGI/action/replication_record"}},"created_at":"2026-05-18T04:09:55.124224+00:00","updated_at":"2026-05-18T04:09:55.124224+00:00"}