{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QBQKSWYTITEXPPM6FVSLVJOABU","short_pith_number":"pith:QBQKSWYT","canonical_record":{"source":{"id":"1005.4437","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-05-24T21:27:44Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"b95cbe351efe89f7788746b0f1d7727b9cabde4dde6750992e26df01117e8cab","abstract_canon_sha256":"fc0099de596fa3872f1d6421b1415abc5b37915f04ec9ae850ac12a13e9b1383"},"schema_version":"1.0"},"canonical_sha256":"8060a95b1344c977bd9e2d64baa5c00d3254cd983a0e60a05f94e7cb22118acd","source":{"kind":"arxiv","id":"1005.4437","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.4437","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1005.4437v1","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4437","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"QBQKSWYTITEX","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QBQKSWYTITEXPPM6","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QBQKSWYT","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QBQKSWYTITEXPPM6FVSLVJOABU","target":"record","payload":{"canonical_record":{"source":{"id":"1005.4437","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-05-24T21:27:44Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"b95cbe351efe89f7788746b0f1d7727b9cabde4dde6750992e26df01117e8cab","abstract_canon_sha256":"fc0099de596fa3872f1d6421b1415abc5b37915f04ec9ae850ac12a13e9b1383"},"schema_version":"1.0"},"canonical_sha256":"8060a95b1344c977bd9e2d64baa5c00d3254cd983a0e60a05f94e7cb22118acd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:38.216269Z","signature_b64":"tJ0z4EOLUBpypiA0+BT0bIproskWua2jUNgC88nwhZhK4ZVjQDbdp0cWZKi81rTgcbrlYOq5aMiiJNLFImfgBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8060a95b1344c977bd9e2d64baa5c00d3254cd983a0e60a05f94e7cb22118acd","last_reissued_at":"2026-05-18T04:14:38.215802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:38.215802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.4437","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:14:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2FdbLXMTavqW1mrqD3XIyjSE0MJ/gdj0ndCIU0PFrD5DZNxH4NDR84kBfcle/YCxGJW9BRkVXV7wR1XDxxXwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:47:55.568708Z"},"content_sha256":"f34bc083294f71899f59938ec01f96e034e4b58a27ef52a1d0e8ea6301fcdc73","schema_version":"1.0","event_id":"sha256:f34bc083294f71899f59938ec01f96e034e4b58a27ef52a1d0e8ea6301fcdc73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QBQKSWYTITEXPPM6FVSLVJOABU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emerton's Jacquet functors for non-Borel parabolic subgroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"David Loeffler, Richard Hill","submitted_at":"2010-05-24T21:27:44Z","abstract_excerpt":"This paper studies Emerton's Jacquet module functor for locally analytic representations of p-adic reductive groups. When P is a parabolic subgroup whose Levi factor M is not commutative, we show that passing to an isotypical subspace for the derived subgroup of M gives rise to essentially admissible locally analytic representations of the torus Z(M), which have a natural interpretation in terms of rigid geometry. We use this to extend Emerton's representation-theoretic construction of eigenvarieties by constructing eigenvarieties interpolating automorphic representations whose local component"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4437","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:14:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RKJSoUmgmSERipEZAe0C41tqhEU/jfSkWwpThplTeoc4cCQu6aT3CP9v4HIkyF3RtqE1NSyH3IF2gZUKKo1CBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:47:55.569054Z"},"content_sha256":"550a6ae667fb9b363d26f4b93d6b507d0179b4e8feafc49ef750628052def078","schema_version":"1.0","event_id":"sha256:550a6ae667fb9b363d26f4b93d6b507d0179b4e8feafc49ef750628052def078"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBQKSWYTITEXPPM6FVSLVJOABU/bundle.json","state_url":"https://pith.science/pith/QBQKSWYTITEXPPM6FVSLVJOABU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBQKSWYTITEXPPM6FVSLVJOABU/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":"2026-06-24T04:47:55Z","links":{"resolver":"https://pith.science/pith/QBQKSWYTITEXPPM6FVSLVJOABU","bundle":"https://pith.science/pith/QBQKSWYTITEXPPM6FVSLVJOABU/bundle.json","state":"https://pith.science/pith/QBQKSWYTITEXPPM6FVSLVJOABU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBQKSWYTITEXPPM6FVSLVJOABU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QBQKSWYTITEXPPM6FVSLVJOABU","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":"fc0099de596fa3872f1d6421b1415abc5b37915f04ec9ae850ac12a13e9b1383","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-05-24T21:27:44Z","title_canon_sha256":"b95cbe351efe89f7788746b0f1d7727b9cabde4dde6750992e26df01117e8cab"},"schema_version":"1.0","source":{"id":"1005.4437","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.4437","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1005.4437v1","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4437","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"QBQKSWYTITEX","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QBQKSWYTITEXPPM6","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QBQKSWYT","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:550a6ae667fb9b363d26f4b93d6b507d0179b4e8feafc49ef750628052def078","target":"graph","created_at":"2026-05-18T04:14:38Z","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":"This paper studies Emerton's Jacquet module functor for locally analytic representations of p-adic reductive groups. When P is a parabolic subgroup whose Levi factor M is not commutative, we show that passing to an isotypical subspace for the derived subgroup of M gives rise to essentially admissible locally analytic representations of the torus Z(M), which have a natural interpretation in terms of rigid geometry. We use this to extend Emerton's representation-theoretic construction of eigenvarieties by constructing eigenvarieties interpolating automorphic representations whose local component","authors_text":"David Loeffler, Richard Hill","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-05-24T21:27:44Z","title":"Emerton's Jacquet functors for non-Borel parabolic subgroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4437","kind":"arxiv","version":1},"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:f34bc083294f71899f59938ec01f96e034e4b58a27ef52a1d0e8ea6301fcdc73","target":"record","created_at":"2026-05-18T04:14:38Z","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":"fc0099de596fa3872f1d6421b1415abc5b37915f04ec9ae850ac12a13e9b1383","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-05-24T21:27:44Z","title_canon_sha256":"b95cbe351efe89f7788746b0f1d7727b9cabde4dde6750992e26df01117e8cab"},"schema_version":"1.0","source":{"id":"1005.4437","kind":"arxiv","version":1}},"canonical_sha256":"8060a95b1344c977bd9e2d64baa5c00d3254cd983a0e60a05f94e7cb22118acd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8060a95b1344c977bd9e2d64baa5c00d3254cd983a0e60a05f94e7cb22118acd","first_computed_at":"2026-05-18T04:14:38.215802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:38.215802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tJ0z4EOLUBpypiA0+BT0bIproskWua2jUNgC88nwhZhK4ZVjQDbdp0cWZKi81rTgcbrlYOq5aMiiJNLFImfgBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:38.216269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.4437","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f34bc083294f71899f59938ec01f96e034e4b58a27ef52a1d0e8ea6301fcdc73","sha256:550a6ae667fb9b363d26f4b93d6b507d0179b4e8feafc49ef750628052def078"],"state_sha256":"2c307da3160f01d1c806d52e60fa0bac423e414e97efa89354a0d9cd06ca5454"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Z/aFUn0x0UrgaDwBsd0iHLkGn5fmPhc8dmVbSkw2NTQS+9qOES5Lt7ugW25RjsXEahnxV8j1h/wZXbbLk2hAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T04:47:55.571008Z","bundle_sha256":"969c5e7f344c9891ea1758067fa1e368bd4b63d2d1d78788c036cdad629dec6b"}}