{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:G5DU5UKQSB6WTACNK2RXFDFCR5","short_pith_number":"pith:G5DU5UKQ","schema_version":"1.0","canonical_sha256":"37474ed150907d69804d56a3728ca28f6e890134f9ce11e4911ab7b4837d5380","source":{"kind":"arxiv","id":"1007.3576","version":3},"attestation_state":"computed","paper":{"title":"Caract\\`eres tordus des repr\\'esentations admissibles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bertrand Lemaire","submitted_at":"2010-07-21T08:16:17Z","abstract_excerpt":"Let $F$ be a non--Archimedean locally compact field (${\\rm car}(F)\\geq 0$), ${\\bf G}$ be a connected reductive group defined over $F$, $\\theta$ be an $F$--automorphism of ${\\bf G}$, and $\\omega$ be a character of ${\\bf G}(F)$. We fix a Haar measure $dg$ on ${\\bf G}(F)$. For a smooth irreducible $(\\theta,\\omega)$--stable complex representation $\\pi$ of ${\\bf G}(F)$, that is such that $\\pi\\circ \\theta\\simeq \\pi\\otimes \\omega$, the choice of an isomorphism $A$ from $\\pi\\otimes \\omega$ to $\\pi\\circ \\theta$ defines a distribution $\\Theta_\\pi^A$, called the \\og ($A$--)twisted character of $\\pi$\\fg: "},"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":"1007.3576","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-07-21T08:16:17Z","cross_cats_sorted":[],"title_canon_sha256":"fd6022a51678c9e69a8e9147991407c1424e11fb57c14f3a2aa216204242b366","abstract_canon_sha256":"ec8ce6558f337dea7b04bae13e677d142efe03d53d61bdafdd2f2e1bd0b8bf39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:04.730897Z","signature_b64":"iB3yVF3xM+Manymc3d1lohP3K5H383gJUEmuiF7LnuqVkzROhwMJt4Ve3fn47ZgL/ZRV0prs1H5toZqYzX89Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37474ed150907d69804d56a3728ca28f6e890134f9ce11e4911ab7b4837d5380","last_reissued_at":"2026-05-18T01:23:04.730435Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:04.730435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Caract\\`eres tordus des repr\\'esentations admissibles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bertrand Lemaire","submitted_at":"2010-07-21T08:16:17Z","abstract_excerpt":"Let $F$ be a non--Archimedean locally compact field (${\\rm car}(F)\\geq 0$), ${\\bf G}$ be a connected reductive group defined over $F$, $\\theta$ be an $F$--automorphism of ${\\bf G}$, and $\\omega$ be a character of ${\\bf G}(F)$. We fix a Haar measure $dg$ on ${\\bf G}(F)$. For a smooth irreducible $(\\theta,\\omega)$--stable complex representation $\\pi$ of ${\\bf G}(F)$, that is such that $\\pi\\circ \\theta\\simeq \\pi\\otimes \\omega$, the choice of an isomorphism $A$ from $\\pi\\otimes \\omega$ to $\\pi\\circ \\theta$ defines a distribution $\\Theta_\\pi^A$, called the \\og ($A$--)twisted character of $\\pi$\\fg: "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3576","kind":"arxiv","version":3},"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":"1007.3576","created_at":"2026-05-18T01:23:04.730499+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.3576v3","created_at":"2026-05-18T01:23:04.730499+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3576","created_at":"2026-05-18T01:23:04.730499+00:00"},{"alias_kind":"pith_short_12","alias_value":"G5DU5UKQSB6W","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"G5DU5UKQSB6WTACN","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"G5DU5UKQ","created_at":"2026-05-18T12:26:07.630475+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/G5DU5UKQSB6WTACNK2RXFDFCR5","json":"https://pith.science/pith/G5DU5UKQSB6WTACNK2RXFDFCR5.json","graph_json":"https://pith.science/api/pith-number/G5DU5UKQSB6WTACNK2RXFDFCR5/graph.json","events_json":"https://pith.science/api/pith-number/G5DU5UKQSB6WTACNK2RXFDFCR5/events.json","paper":"https://pith.science/paper/G5DU5UKQ"},"agent_actions":{"view_html":"https://pith.science/pith/G5DU5UKQSB6WTACNK2RXFDFCR5","download_json":"https://pith.science/pith/G5DU5UKQSB6WTACNK2RXFDFCR5.json","view_paper":"https://pith.science/paper/G5DU5UKQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.3576&json=true","fetch_graph":"https://pith.science/api/pith-number/G5DU5UKQSB6WTACNK2RXFDFCR5/graph.json","fetch_events":"https://pith.science/api/pith-number/G5DU5UKQSB6WTACNK2RXFDFCR5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G5DU5UKQSB6WTACNK2RXFDFCR5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G5DU5UKQSB6WTACNK2RXFDFCR5/action/storage_attestation","attest_author":"https://pith.science/pith/G5DU5UKQSB6WTACNK2RXFDFCR5/action/author_attestation","sign_citation":"https://pith.science/pith/G5DU5UKQSB6WTACNK2RXFDFCR5/action/citation_signature","submit_replication":"https://pith.science/pith/G5DU5UKQSB6WTACNK2RXFDFCR5/action/replication_record"}},"created_at":"2026-05-18T01:23:04.730499+00:00","updated_at":"2026-05-18T01:23:04.730499+00:00"}