{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MFNB674UPJGS5KKM74PWDHO7FZ","short_pith_number":"pith:MFNB674U","canonical_record":{"source":{"id":"1605.00511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-05-02T14:51:42Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"fdff29cff39eb9f508e5920384265ff4714b7ee7ae2ff30b4c5fe480f077ef4b","abstract_canon_sha256":"a6a910869f5b09f09efacd7cc9187b09c158ec1c337068fb085dcf93204c6f29"},"schema_version":"1.0"},"canonical_sha256":"615a1f7f947a4d2ea94cff1f619ddf2e5c6e748a2178e5b410f2ee672a0e2ca4","source":{"kind":"arxiv","id":"1605.00511","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00511","created_at":"2026-05-18T01:15:54Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00511v1","created_at":"2026-05-18T01:15:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00511","created_at":"2026-05-18T01:15:54Z"},{"alias_kind":"pith_short_12","alias_value":"MFNB674UPJGS","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MFNB674UPJGS5KKM","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MFNB674U","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MFNB674UPJGS5KKM74PWDHO7FZ","target":"record","payload":{"canonical_record":{"source":{"id":"1605.00511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-05-02T14:51:42Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"fdff29cff39eb9f508e5920384265ff4714b7ee7ae2ff30b4c5fe480f077ef4b","abstract_canon_sha256":"a6a910869f5b09f09efacd7cc9187b09c158ec1c337068fb085dcf93204c6f29"},"schema_version":"1.0"},"canonical_sha256":"615a1f7f947a4d2ea94cff1f619ddf2e5c6e748a2178e5b410f2ee672a0e2ca4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:54.007380Z","signature_b64":"B6maY3L7DyRfNlfcfYydBg9yWMoijA7OVur/rCOmdR/LqDvcmkN3gwEsa4k6dpDzjzmH6FhbQF6NrF+4bq8dBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"615a1f7f947a4d2ea94cff1f619ddf2e5c6e748a2178e5b410f2ee672a0e2ca4","last_reissued_at":"2026-05-18T01:15:54.006691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:54.006691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.00511","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":"2026-05-18T01:15:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vlqli7DY9svdJ28b1D0fWYZ6c2exA5m4otyvd8L6LMXCGZsZNNvB4l9GJzV+yoOdi8ex3ypeph7SdcBWsyo1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T00:49:21.888825Z"},"content_sha256":"92ac75d60500a6df1bfeec6b7855c65cfa6bb6b25f1b4b23d92ec673b73df875","schema_version":"1.0","event_id":"sha256:92ac75d60500a6df1bfeec6b7855c65cfa6bb6b25f1b4b23d92ec673b73df875"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MFNB674UPJGS5KKM74PWDHO7FZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric approach to the explicit local Langlands correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.NT","authors_text":"Yoichi Mieda","submitted_at":"2016-05-02T14:51:42Z","abstract_excerpt":"We propose a geometric strategy of giving explicit description of the Langlands parameter of an irreducible supercuspidal representation of GL(n) over a non-archimedean local field. The key is to compare the cohomology of an affinoid in the Lubin-Tate space at infinite level and that of the reduction of its formal model. As examples, we treat the cases of depth 0 supercuspidal representations and simple supercuspidal representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00511","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":"2026-05-18T01:15:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"botpZ5pTiP2GkADJSl/HMPj4ENFzMLZQpfctHLLtRcETflKZ03xd8O3JKlRW3zHXC8264jrrAtK+SLwg5eWhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T00:49:21.889563Z"},"content_sha256":"6db633ef7ae80733a2d833d02d9948ebed864fe1d152a917d217e29fa48c4e95","schema_version":"1.0","event_id":"sha256:6db633ef7ae80733a2d833d02d9948ebed864fe1d152a917d217e29fa48c4e95"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MFNB674UPJGS5KKM74PWDHO7FZ/bundle.json","state_url":"https://pith.science/pith/MFNB674UPJGS5KKM74PWDHO7FZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MFNB674UPJGS5KKM74PWDHO7FZ/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":"2026-06-11T00:49:21Z","links":{"resolver":"https://pith.science/pith/MFNB674UPJGS5KKM74PWDHO7FZ","bundle":"https://pith.science/pith/MFNB674UPJGS5KKM74PWDHO7FZ/bundle.json","state":"https://pith.science/pith/MFNB674UPJGS5KKM74PWDHO7FZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MFNB674UPJGS5KKM74PWDHO7FZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MFNB674UPJGS5KKM74PWDHO7FZ","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":"a6a910869f5b09f09efacd7cc9187b09c158ec1c337068fb085dcf93204c6f29","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-05-02T14:51:42Z","title_canon_sha256":"fdff29cff39eb9f508e5920384265ff4714b7ee7ae2ff30b4c5fe480f077ef4b"},"schema_version":"1.0","source":{"id":"1605.00511","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00511","created_at":"2026-05-18T01:15:54Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00511v1","created_at":"2026-05-18T01:15:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00511","created_at":"2026-05-18T01:15:54Z"},{"alias_kind":"pith_short_12","alias_value":"MFNB674UPJGS","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MFNB674UPJGS5KKM","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MFNB674U","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:6db633ef7ae80733a2d833d02d9948ebed864fe1d152a917d217e29fa48c4e95","target":"graph","created_at":"2026-05-18T01:15:54Z","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":"We propose a geometric strategy of giving explicit description of the Langlands parameter of an irreducible supercuspidal representation of GL(n) over a non-archimedean local field. The key is to compare the cohomology of an affinoid in the Lubin-Tate space at infinite level and that of the reduction of its formal model. As examples, we treat the cases of depth 0 supercuspidal representations and simple supercuspidal representations.","authors_text":"Yoichi Mieda","cross_cats":["math.AG","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-05-02T14:51:42Z","title":"Geometric approach to the explicit local Langlands correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00511","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":"sha256:92ac75d60500a6df1bfeec6b7855c65cfa6bb6b25f1b4b23d92ec673b73df875","target":"record","created_at":"2026-05-18T01:15:54Z","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":"a6a910869f5b09f09efacd7cc9187b09c158ec1c337068fb085dcf93204c6f29","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-05-02T14:51:42Z","title_canon_sha256":"fdff29cff39eb9f508e5920384265ff4714b7ee7ae2ff30b4c5fe480f077ef4b"},"schema_version":"1.0","source":{"id":"1605.00511","kind":"arxiv","version":1}},"canonical_sha256":"615a1f7f947a4d2ea94cff1f619ddf2e5c6e748a2178e5b410f2ee672a0e2ca4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"615a1f7f947a4d2ea94cff1f619ddf2e5c6e748a2178e5b410f2ee672a0e2ca4","first_computed_at":"2026-05-18T01:15:54.006691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:54.006691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B6maY3L7DyRfNlfcfYydBg9yWMoijA7OVur/rCOmdR/LqDvcmkN3gwEsa4k6dpDzjzmH6FhbQF6NrF+4bq8dBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:54.007380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.00511","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92ac75d60500a6df1bfeec6b7855c65cfa6bb6b25f1b4b23d92ec673b73df875","sha256:6db633ef7ae80733a2d833d02d9948ebed864fe1d152a917d217e29fa48c4e95"],"state_sha256":"db023f07d3b89756898749c60ee9a99b8a3162c7da6a98f04a18538f45e1a589"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5QSJPrOqwLkYg2VVFkjBbovo/Xv+TSBBdyR3LcqPAS8EJMeJrzHYh0Ex8m/H5YLJx/u974k2p+RArcDS5iSNAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T00:49:21.893526Z","bundle_sha256":"f79cd80ee96bf9f10073b2c591f846730760f28388ae98bee47e8a1edf1b5468"}}