{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DJMLR7PRRIU5KS6NGUXYEU5G54","short_pith_number":"pith:DJMLR7PR","schema_version":"1.0","canonical_sha256":"1a58b8fdf18a29d54bcd352f8253a6ef275eebf5c5edb4e8721d593561e85f2d","source":{"kind":"arxiv","id":"1210.5389","version":2},"attestation_state":"computed","paper":{"title":"Twisted homology for the mirabolic nilradical","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Avraham Aizenbud, Dmitry Gourevitch, Siddhartha Sahi","submitted_at":"2012-10-19T11:55:26Z","abstract_excerpt":"The notion of derivatives for smooth representations of $GL(n,\\mathbb{Q}_p)$ was defined in [BZ77]. In the archimedean case, an analog of the highest derivative was defined for irreducible unitary representations in [Sah89] and called the \"adduced\" representation. In [AGS] derivatives of all orders were defined for smooth admissible Frechet representations (of moderate growth).\n  A key ingredient of this definition is the functor of twisted coinvariants with respect to the nilradical of the mirabolic subgroup. In this paper we prove exactness of this functor and compute it on a certain class o"},"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":"1210.5389","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-10-19T11:55:26Z","cross_cats_sorted":[],"title_canon_sha256":"023bb0f1bd6371b14c2ad6394e3a21f53a2b484eebdccb23f4574d8b46afb8f4","abstract_canon_sha256":"5b8e5dba2434df645dc3be18ff305d5e2d0c3367d7f95279543ae88f8748bb40"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:36.673460Z","signature_b64":"p2AUdmK6e4EroVNuBzBOkL7A9aZ/KCuD5OWavCpkuqEzjneFjKXzWSpTSbSLPfvGPoUvxx6YOwyUEO0LjtQzAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a58b8fdf18a29d54bcd352f8253a6ef275eebf5c5edb4e8721d593561e85f2d","last_reissued_at":"2026-05-18T01:15:36.672628Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:36.672628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twisted homology for the mirabolic nilradical","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Avraham Aizenbud, Dmitry Gourevitch, Siddhartha Sahi","submitted_at":"2012-10-19T11:55:26Z","abstract_excerpt":"The notion of derivatives for smooth representations of $GL(n,\\mathbb{Q}_p)$ was defined in [BZ77]. In the archimedean case, an analog of the highest derivative was defined for irreducible unitary representations in [Sah89] and called the \"adduced\" representation. In [AGS] derivatives of all orders were defined for smooth admissible Frechet representations (of moderate growth).\n  A key ingredient of this definition is the functor of twisted coinvariants with respect to the nilradical of the mirabolic subgroup. In this paper we prove exactness of this functor and compute it on a certain class o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5389","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":"1210.5389","created_at":"2026-05-18T01:15:36.672775+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.5389v2","created_at":"2026-05-18T01:15:36.672775+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5389","created_at":"2026-05-18T01:15:36.672775+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJMLR7PRRIU5","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJMLR7PRRIU5KS6N","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJMLR7PR","created_at":"2026-05-18T12:27:04.183437+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/DJMLR7PRRIU5KS6NGUXYEU5G54","json":"https://pith.science/pith/DJMLR7PRRIU5KS6NGUXYEU5G54.json","graph_json":"https://pith.science/api/pith-number/DJMLR7PRRIU5KS6NGUXYEU5G54/graph.json","events_json":"https://pith.science/api/pith-number/DJMLR7PRRIU5KS6NGUXYEU5G54/events.json","paper":"https://pith.science/paper/DJMLR7PR"},"agent_actions":{"view_html":"https://pith.science/pith/DJMLR7PRRIU5KS6NGUXYEU5G54","download_json":"https://pith.science/pith/DJMLR7PRRIU5KS6NGUXYEU5G54.json","view_paper":"https://pith.science/paper/DJMLR7PR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.5389&json=true","fetch_graph":"https://pith.science/api/pith-number/DJMLR7PRRIU5KS6NGUXYEU5G54/graph.json","fetch_events":"https://pith.science/api/pith-number/DJMLR7PRRIU5KS6NGUXYEU5G54/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJMLR7PRRIU5KS6NGUXYEU5G54/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJMLR7PRRIU5KS6NGUXYEU5G54/action/storage_attestation","attest_author":"https://pith.science/pith/DJMLR7PRRIU5KS6NGUXYEU5G54/action/author_attestation","sign_citation":"https://pith.science/pith/DJMLR7PRRIU5KS6NGUXYEU5G54/action/citation_signature","submit_replication":"https://pith.science/pith/DJMLR7PRRIU5KS6NGUXYEU5G54/action/replication_record"}},"created_at":"2026-05-18T01:15:36.672775+00:00","updated_at":"2026-05-18T01:15:36.672775+00:00"}