{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3PMHSB6KLTTUJEOW7PYGI7ODXF","short_pith_number":"pith:3PMHSB6K","canonical_record":{"source":{"id":"1412.0737","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-12-01T23:43:31Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5607454ea67325d6350f5037c622512c43d7c0e8ebd0101d43ad42e86b361af4","abstract_canon_sha256":"e3c0cf1d68ba4662e373f221d6b981992b27035f9d8dc11bfe03813a2153403f"},"schema_version":"1.0"},"canonical_sha256":"dbd87907ca5ce74491d6fbf0647dc3b97f8fbeb92eaaa0caac7694dabcb48209","source":{"kind":"arxiv","id":"1412.0737","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0737","created_at":"2026-05-18T00:51:18Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0737v2","created_at":"2026-05-18T00:51:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0737","created_at":"2026-05-18T00:51:18Z"},{"alias_kind":"pith_short_12","alias_value":"3PMHSB6KLTTU","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3PMHSB6KLTTUJEOW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3PMHSB6K","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3PMHSB6KLTTUJEOW7PYGI7ODXF","target":"record","payload":{"canonical_record":{"source":{"id":"1412.0737","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-12-01T23:43:31Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5607454ea67325d6350f5037c622512c43d7c0e8ebd0101d43ad42e86b361af4","abstract_canon_sha256":"e3c0cf1d68ba4662e373f221d6b981992b27035f9d8dc11bfe03813a2153403f"},"schema_version":"1.0"},"canonical_sha256":"dbd87907ca5ce74491d6fbf0647dc3b97f8fbeb92eaaa0caac7694dabcb48209","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:18.863751Z","signature_b64":"YTFNChV0zNn2Em1kIdXx5EgO53paZ9O2ojTxwStLIz1IMqCk01LY26TzG+e6gDHRq6c0D/+68i+Bi+3BW61kAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbd87907ca5ce74491d6fbf0647dc3b97f8fbeb92eaaa0caac7694dabcb48209","last_reissued_at":"2026-05-18T00:51:18.863029Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:18.863029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.0737","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gpsu3ej0WxrGQlNu3kQzMxtoXg/dwwgNIHXAwWEfYM+zqoPcivTd+nhAgvHrZh0ieSXNJH9kcErODomo1NqHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:34:50.947071Z"},"content_sha256":"ed0c9cff903cc356e592a418a84aa0e2f56959f4febc3792ae1bf3073c49e6f2","schema_version":"1.0","event_id":"sha256:ed0c9cff903cc356e592a418a84aa0e2f56959f4febc3792ae1bf3073c49e6f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3PMHSB6KLTTUJEOW7PYGI7ODXF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A classification of irreducible admissible mod p representations of p-adic reductive groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Florian Herzig, Guy Henniart, Marie-France Vigneras, Noriyuki Abe","submitted_at":"2014-12-01T23:43:31Z","abstract_excerpt":"Let F be a locally compact non-archimedean field, p its residue characteristic, and G a connected reductive group over F. Let C an algebraically closed field of characteristic p. We give a complete classification of irreducible admissible C-representations of G = G(F), in terms of supercuspidal C-representations of the Levi subgroups of G, and parabolic induction. Thus we push to their natural conclusion the ideas of the third-named author, who treated the case G = GL_m, as further expanded by the first-named author, who treated split groups G. As in the split case, we first get a classificati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0737","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y2qaxZi7ZaWapVocd6VoZa1tkJBOeHblqIWH6ICf2IQaD9u2PTGQuCXtlWNf27AM9APcrMmLqBW25uODDW02Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:34:50.947432Z"},"content_sha256":"cb86ea4dfe5897dcc26485e03d0290d78e170f07eb8e85cfc6e5999ce4fe7275","schema_version":"1.0","event_id":"sha256:cb86ea4dfe5897dcc26485e03d0290d78e170f07eb8e85cfc6e5999ce4fe7275"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3PMHSB6KLTTUJEOW7PYGI7ODXF/bundle.json","state_url":"https://pith.science/pith/3PMHSB6KLTTUJEOW7PYGI7ODXF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3PMHSB6KLTTUJEOW7PYGI7ODXF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T17:34:50Z","links":{"resolver":"https://pith.science/pith/3PMHSB6KLTTUJEOW7PYGI7ODXF","bundle":"https://pith.science/pith/3PMHSB6KLTTUJEOW7PYGI7ODXF/bundle.json","state":"https://pith.science/pith/3PMHSB6KLTTUJEOW7PYGI7ODXF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3PMHSB6KLTTUJEOW7PYGI7ODXF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3PMHSB6KLTTUJEOW7PYGI7ODXF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e3c0cf1d68ba4662e373f221d6b981992b27035f9d8dc11bfe03813a2153403f","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-12-01T23:43:31Z","title_canon_sha256":"5607454ea67325d6350f5037c622512c43d7c0e8ebd0101d43ad42e86b361af4"},"schema_version":"1.0","source":{"id":"1412.0737","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0737","created_at":"2026-05-18T00:51:18Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0737v2","created_at":"2026-05-18T00:51:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0737","created_at":"2026-05-18T00:51:18Z"},{"alias_kind":"pith_short_12","alias_value":"3PMHSB6KLTTU","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3PMHSB6KLTTUJEOW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3PMHSB6K","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:cb86ea4dfe5897dcc26485e03d0290d78e170f07eb8e85cfc6e5999ce4fe7275","target":"graph","created_at":"2026-05-18T00:51:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let F be a locally compact non-archimedean field, p its residue characteristic, and G a connected reductive group over F. Let C an algebraically closed field of characteristic p. We give a complete classification of irreducible admissible C-representations of G = G(F), in terms of supercuspidal C-representations of the Levi subgroups of G, and parabolic induction. Thus we push to their natural conclusion the ideas of the third-named author, who treated the case G = GL_m, as further expanded by the first-named author, who treated split groups G. As in the split case, we first get a classificati","authors_text":"Florian Herzig, Guy Henniart, Marie-France Vigneras, Noriyuki Abe","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-12-01T23:43:31Z","title":"A classification of irreducible admissible mod p representations of p-adic reductive groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0737","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ed0c9cff903cc356e592a418a84aa0e2f56959f4febc3792ae1bf3073c49e6f2","target":"record","created_at":"2026-05-18T00:51:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e3c0cf1d68ba4662e373f221d6b981992b27035f9d8dc11bfe03813a2153403f","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-12-01T23:43:31Z","title_canon_sha256":"5607454ea67325d6350f5037c622512c43d7c0e8ebd0101d43ad42e86b361af4"},"schema_version":"1.0","source":{"id":"1412.0737","kind":"arxiv","version":2}},"canonical_sha256":"dbd87907ca5ce74491d6fbf0647dc3b97f8fbeb92eaaa0caac7694dabcb48209","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbd87907ca5ce74491d6fbf0647dc3b97f8fbeb92eaaa0caac7694dabcb48209","first_computed_at":"2026-05-18T00:51:18.863029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:18.863029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YTFNChV0zNn2Em1kIdXx5EgO53paZ9O2ojTxwStLIz1IMqCk01LY26TzG+e6gDHRq6c0D/+68i+Bi+3BW61kAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:18.863751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0737","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed0c9cff903cc356e592a418a84aa0e2f56959f4febc3792ae1bf3073c49e6f2","sha256:cb86ea4dfe5897dcc26485e03d0290d78e170f07eb8e85cfc6e5999ce4fe7275"],"state_sha256":"f38dda5621345439078d723bda2764274a1ba9cc82e7adfd75fb815cd5fe2027"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rtM/NRQlbgFItA83ODdr4q5fVte7julnSrwvtI7BZR6EfcbutCufRnEm0DuBt/iorlnhzHE0DVNH94XK7RXVAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:34:50.949363Z","bundle_sha256":"f2b91e40e7d8d5405b90acef5d1eb91c3f70c384453d7e21aaa6ca48c7707960"}}