{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RAMRHZYHMRJPHW5LRDRQSUFJ2S","short_pith_number":"pith:RAMRHZYH","schema_version":"1.0","canonical_sha256":"881913e7076452f3dbab88e30950a9d4a713627f9ccb1a1e85de6702f1795574","source":{"kind":"arxiv","id":"1709.09609","version":1},"attestation_state":"computed","paper":{"title":"Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Colin J. Bushnell, Guy Henniart","submitted_at":"2017-09-27T16:35:30Z","abstract_excerpt":"Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ with $p\\neq 2$. Let $n$ be a power of $p$ and let $G$ be an inner form of the general linear group $\\text{\\rm GL}_n(F)$. We give a transparent parametrization of the irreducible, totally ramified, cuspidal representations of $G$ of parametric degree $n$. We show that the parametrization is respected by the Jacquet-Langlands correspondence, relative to any other inner form. This expresses the Jacquet-Langlands correspondence for such representations within a single, compact formula."},"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":"1709.09609","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-09-27T16:35:30Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"813d87b3be08dfddd0320865af5945b59cfbe50174f47d199f5893e519c683c4","abstract_canon_sha256":"462843058418d5ef1ef4b9feb31772aae19523d82644ec00d8b9816b0d5343f6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:11.184006Z","signature_b64":"RalhEwD90EY2j1/nuyfvFpEMkGjNaTlspS3E7l60oLc4hB2eyFIZgCuZO2qxsbmJdYSDOyy8MpNktgkQwS27Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"881913e7076452f3dbab88e30950a9d4a713627f9ccb1a1e85de6702f1795574","last_reissued_at":"2026-05-18T00:34:11.183399Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:11.183399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Colin J. Bushnell, Guy Henniart","submitted_at":"2017-09-27T16:35:30Z","abstract_excerpt":"Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ with $p\\neq 2$. Let $n$ be a power of $p$ and let $G$ be an inner form of the general linear group $\\text{\\rm GL}_n(F)$. We give a transparent parametrization of the irreducible, totally ramified, cuspidal representations of $G$ of parametric degree $n$. We show that the parametrization is respected by the Jacquet-Langlands correspondence, relative to any other inner form. This expresses the Jacquet-Langlands correspondence for such representations within a single, compact formula."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09609","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":"1709.09609","created_at":"2026-05-18T00:34:11.183479+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.09609v1","created_at":"2026-05-18T00:34:11.183479+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.09609","created_at":"2026-05-18T00:34:11.183479+00:00"},{"alias_kind":"pith_short_12","alias_value":"RAMRHZYHMRJP","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RAMRHZYHMRJPHW5L","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RAMRHZYH","created_at":"2026-05-18T12:31:39.905425+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/RAMRHZYHMRJPHW5LRDRQSUFJ2S","json":"https://pith.science/pith/RAMRHZYHMRJPHW5LRDRQSUFJ2S.json","graph_json":"https://pith.science/api/pith-number/RAMRHZYHMRJPHW5LRDRQSUFJ2S/graph.json","events_json":"https://pith.science/api/pith-number/RAMRHZYHMRJPHW5LRDRQSUFJ2S/events.json","paper":"https://pith.science/paper/RAMRHZYH"},"agent_actions":{"view_html":"https://pith.science/pith/RAMRHZYHMRJPHW5LRDRQSUFJ2S","download_json":"https://pith.science/pith/RAMRHZYHMRJPHW5LRDRQSUFJ2S.json","view_paper":"https://pith.science/paper/RAMRHZYH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.09609&json=true","fetch_graph":"https://pith.science/api/pith-number/RAMRHZYHMRJPHW5LRDRQSUFJ2S/graph.json","fetch_events":"https://pith.science/api/pith-number/RAMRHZYHMRJPHW5LRDRQSUFJ2S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RAMRHZYHMRJPHW5LRDRQSUFJ2S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RAMRHZYHMRJPHW5LRDRQSUFJ2S/action/storage_attestation","attest_author":"https://pith.science/pith/RAMRHZYHMRJPHW5LRDRQSUFJ2S/action/author_attestation","sign_citation":"https://pith.science/pith/RAMRHZYHMRJPHW5LRDRQSUFJ2S/action/citation_signature","submit_replication":"https://pith.science/pith/RAMRHZYHMRJPHW5LRDRQSUFJ2S/action/replication_record"}},"created_at":"2026-05-18T00:34:11.183479+00:00","updated_at":"2026-05-18T00:34:11.183479+00:00"}