{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:Z54DMWXA26N73MUBWV66XFJRLA","short_pith_number":"pith:Z54DMWXA","canonical_record":{"source":{"id":"1510.00131","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-01T07:39:51Z","cross_cats_sorted":[],"title_canon_sha256":"9686f36239a7af3596767425ea5fe11143149c623e0912a238874d14ccf2580d","abstract_canon_sha256":"682af1765a98eeb9ad437a42f5eb541cb9084ebad8359482da534e919c3d8eb5"},"schema_version":"1.0"},"canonical_sha256":"cf78365ae0d79bfdb281b57deb9531581246ec6b154fe3653972c0681cf766ad","source":{"kind":"arxiv","id":"1510.00131","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00131","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00131v2","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00131","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"Z54DMWXA26N7","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"Z54DMWXA26N73MUB","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"Z54DMWXA","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:Z54DMWXA26N73MUBWV66XFJRLA","target":"record","payload":{"canonical_record":{"source":{"id":"1510.00131","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-01T07:39:51Z","cross_cats_sorted":[],"title_canon_sha256":"9686f36239a7af3596767425ea5fe11143149c623e0912a238874d14ccf2580d","abstract_canon_sha256":"682af1765a98eeb9ad437a42f5eb541cb9084ebad8359482da534e919c3d8eb5"},"schema_version":"1.0"},"canonical_sha256":"cf78365ae0d79bfdb281b57deb9531581246ec6b154fe3653972c0681cf766ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:37.183753Z","signature_b64":"fGcVK8cKuL9V86f0+Plk0ZXfg9FXQQC6izH+xqp0YM5vnB/tcrKoJ1xStVE+rVWSbJqYXDnWtulEqIwX13trDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf78365ae0d79bfdb281b57deb9531581246ec6b154fe3653972c0681cf766ad","last_reissued_at":"2026-05-18T01:17:37.183079Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:37.183079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.00131","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":"2026-05-18T01:17:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8jmLtrgw02dYdBHz3RSubQVObpEnt6fsFN5jOzbgO4UHER36yevyiE6WmIt11N8jIDBK9UimF1iljorpJf7tBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:38:42.524844Z"},"content_sha256":"864fb4b6d21bcbf45cc1629a85e3885e8aa4ba6f0f50d6689597f7b095b1f8be","schema_version":"1.0","event_id":"sha256:864fb4b6d21bcbf45cc1629a85e3885e8aa4ba6f0f50d6689597f7b095b1f8be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:Z54DMWXA26N73MUBWV66XFJRLA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Globalization of supercuspidal representations over function fields and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Luis Lomel\\'i, Wee Teck Gan","submitted_at":"2015-10-01T07:39:51Z","abstract_excerpt":"Let H be a connected reductive group defined over a non-archimedean local field F of characteristic p>0. Using Poincar\\'e series, we globalize supercuspidal representations of H(F) in such a way that we have control over ramification at all other places, and such that the notion of distinction with respect to a unipotent subgroup (indeed more general subgroups) is preserved. In combination with the work of Vincent Lafforgue on the global Langlands correspondence, we present some applications, such as the stability of Langlands-Shahidi \\gamma-factors and the local Langlands correspondence for c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00131","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":"2026-05-18T01:17:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"79RWAMi2RpZDYIaSdxsCWynPSXFpWu2hXsO6mO9/1kGvKtmNBzHyV+c7Ci+JyZFjnY2Jw0jOydgUpt8k/ssYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:38:42.525181Z"},"content_sha256":"7b93b5f9c641b2e0f1c95513cea3b073704350f08e203aa2e30a719adca725fd","schema_version":"1.0","event_id":"sha256:7b93b5f9c641b2e0f1c95513cea3b073704350f08e203aa2e30a719adca725fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z54DMWXA26N73MUBWV66XFJRLA/bundle.json","state_url":"https://pith.science/pith/Z54DMWXA26N73MUBWV66XFJRLA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z54DMWXA26N73MUBWV66XFJRLA/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":"2026-06-27T03:38:42Z","links":{"resolver":"https://pith.science/pith/Z54DMWXA26N73MUBWV66XFJRLA","bundle":"https://pith.science/pith/Z54DMWXA26N73MUBWV66XFJRLA/bundle.json","state":"https://pith.science/pith/Z54DMWXA26N73MUBWV66XFJRLA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z54DMWXA26N73MUBWV66XFJRLA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Z54DMWXA26N73MUBWV66XFJRLA","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":"682af1765a98eeb9ad437a42f5eb541cb9084ebad8359482da534e919c3d8eb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-01T07:39:51Z","title_canon_sha256":"9686f36239a7af3596767425ea5fe11143149c623e0912a238874d14ccf2580d"},"schema_version":"1.0","source":{"id":"1510.00131","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00131","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00131v2","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00131","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"Z54DMWXA26N7","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"Z54DMWXA26N73MUB","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"Z54DMWXA","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:7b93b5f9c641b2e0f1c95513cea3b073704350f08e203aa2e30a719adca725fd","target":"graph","created_at":"2026-05-18T01:17:37Z","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 H be a connected reductive group defined over a non-archimedean local field F of characteristic p>0. Using Poincar\\'e series, we globalize supercuspidal representations of H(F) in such a way that we have control over ramification at all other places, and such that the notion of distinction with respect to a unipotent subgroup (indeed more general subgroups) is preserved. In combination with the work of Vincent Lafforgue on the global Langlands correspondence, we present some applications, such as the stability of Langlands-Shahidi \\gamma-factors and the local Langlands correspondence for c","authors_text":"Luis Lomel\\'i, Wee Teck Gan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-01T07:39:51Z","title":"Globalization of supercuspidal representations over function fields and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00131","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":"sha256:864fb4b6d21bcbf45cc1629a85e3885e8aa4ba6f0f50d6689597f7b095b1f8be","target":"record","created_at":"2026-05-18T01:17:37Z","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":"682af1765a98eeb9ad437a42f5eb541cb9084ebad8359482da534e919c3d8eb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-01T07:39:51Z","title_canon_sha256":"9686f36239a7af3596767425ea5fe11143149c623e0912a238874d14ccf2580d"},"schema_version":"1.0","source":{"id":"1510.00131","kind":"arxiv","version":2}},"canonical_sha256":"cf78365ae0d79bfdb281b57deb9531581246ec6b154fe3653972c0681cf766ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf78365ae0d79bfdb281b57deb9531581246ec6b154fe3653972c0681cf766ad","first_computed_at":"2026-05-18T01:17:37.183079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:37.183079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fGcVK8cKuL9V86f0+Plk0ZXfg9FXQQC6izH+xqp0YM5vnB/tcrKoJ1xStVE+rVWSbJqYXDnWtulEqIwX13trDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:37.183753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.00131","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:864fb4b6d21bcbf45cc1629a85e3885e8aa4ba6f0f50d6689597f7b095b1f8be","sha256:7b93b5f9c641b2e0f1c95513cea3b073704350f08e203aa2e30a719adca725fd"],"state_sha256":"13b62825f51acbc2f38dc964b041e43ebcf0c51b5b075186ca620ff48ca5a362"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8+h/pFKeLgh2DRBkjbhTyqQSzUPV9tRz1fZXOpoiYbJdn09pLb/yEQ7IuV9ZOL7gqWzaAFb2dRvBPEaPOs9RDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T03:38:42.527108Z","bundle_sha256":"cc838e91d821582c8404df054a2a106c76eb7325d182fbdce5a6a7076481ba76"}}