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Here, for a parabolic subgroup $P$ of $G$ with Levi subgroup $M$ and an irreducible admissible $C$-representation $\\tau$ of $M$, we determine the lattice of subrepresentations of $\\mathrm{Ind}_P^G \\tau$ and we show that $\\math"},"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":"1703.05599","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-03-16T13:11:06Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"e44db7f9f8085a312bc8da62b287006f3de89a032c0ceed25be6beeac869be24","abstract_canon_sha256":"5b0f9300914c106ec1e24ebe5b2e5b484adcd347f09b9c7630f7aa08a3a4b088"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:37.804090Z","signature_b64":"OSEtPU5ZHLykzVPWvdC/fyyvhbkVfKJrNO47BQ48LsXWS2oC0k8CIPq1IsGn/bXl1ASgSFeFk7SYMz2oHMb9DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af2be56828763d6940bdea7c57c3c41a12b19c15243f979b3205c0933cb8ea19","last_reissued_at":"2026-05-18T00:47:37.803481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:37.803481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modulo $p$ representations of reductive $p$-adic groups: functorial properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Guy Henniart, Marie-France Vign\\'eras, Noriyuki Abe","submitted_at":"2017-03-16T13:11:06Z","abstract_excerpt":"Let $F$ be a local field with residue characteristic $p$, let $C$ be an algebraically closed field of characteristic $p$, and let $\\mathbf{G}$ be a connected reductive $F$-group. 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Here, for a parabolic subgroup $P$ of $G$ with Levi subgroup $M$ and an irreducible admissible $C$-representation $\\tau$ of $M$, we determine the lattice of subrepresentations of $\\mathrm{Ind}_P^G \\tau$ and we show that $\\math"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05599","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":"1703.05599","created_at":"2026-05-18T00:47:37.803573+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.05599v2","created_at":"2026-05-18T00:47:37.803573+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05599","created_at":"2026-05-18T00:47:37.803573+00:00"},{"alias_kind":"pith_short_12","alias_value":"V4V6K2BIOY6W","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"V4V6K2BIOY6WSQF5","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"V4V6K2BI","created_at":"2026-05-18T12:31:49.984773+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/V4V6K2BIOY6WSQF55J6FPQ6EDI","json":"https://pith.science/pith/V4V6K2BIOY6WSQF55J6FPQ6EDI.json","graph_json":"https://pith.science/api/pith-number/V4V6K2BIOY6WSQF55J6FPQ6EDI/graph.json","events_json":"https://pith.science/api/pith-number/V4V6K2BIOY6WSQF55J6FPQ6EDI/events.json","paper":"https://pith.science/paper/V4V6K2BI"},"agent_actions":{"view_html":"https://pith.science/pith/V4V6K2BIOY6WSQF55J6FPQ6EDI","download_json":"https://pith.science/pith/V4V6K2BIOY6WSQF55J6FPQ6EDI.json","view_paper":"https://pith.science/paper/V4V6K2BI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.05599&json=true","fetch_graph":"https://pith.science/api/pith-number/V4V6K2BIOY6WSQF55J6FPQ6EDI/graph.json","fetch_events":"https://pith.science/api/pith-number/V4V6K2BIOY6WSQF55J6FPQ6EDI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V4V6K2BIOY6WSQF55J6FPQ6EDI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V4V6K2BIOY6WSQF55J6FPQ6EDI/action/storage_attestation","attest_author":"https://pith.science/pith/V4V6K2BIOY6WSQF55J6FPQ6EDI/action/author_attestation","sign_citation":"https://pith.science/pith/V4V6K2BIOY6WSQF55J6FPQ6EDI/action/citation_signature","submit_replication":"https://pith.science/pith/V4V6K2BIOY6WSQF55J6FPQ6EDI/action/replication_record"}},"created_at":"2026-05-18T00:47:37.803573+00:00","updated_at":"2026-05-18T00:47:37.803573+00:00"}