{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XVXXW2GVCA4FH7HWZGMMTHX4CW","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":"7c4e4eb1fa784b5f2905a07f874826923e9f1205830392da0e08a3ec93758c03","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-12-03T02:46:01Z","title_canon_sha256":"d65096d17c5041ee3385c23e786338368c894cce2990d38389b7cb6fd099bf43"},"schema_version":"1.0","source":{"id":"1212.0273","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0273","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0273v2","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0273","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"pith_short_12","alias_value":"XVXXW2GVCA4F","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XVXXW2GVCA4FH7HW","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XVXXW2GV","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:8de6faf6e02dd6b964f5cdf6b8e9e5da93ac3aab01d5308db8a1c23535dad03a","target":"graph","created_at":"2026-05-18T03:08:47Z","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 describe the image, under the local Langlands correspondence for tori, of the characters of a torus which are trivial on its Iwahori subgroup. Let $k$ be a non-archimedian local field. Let $\\boldsymbol{G}$ be a connected reductive group defined over $k$, which is quasi-split and split over a tamely ramified extension. Let $K$ be a special maximal parahoric subgroup of $\\boldsymbol{G}(k)$. To the class of representations of $\\boldsymbol{G}(k)$, having a non-zero vector fixed under $K$, we establish a bijection, in a natural way, with the twisted semi-simple conjugacy classes of the inertia f","authors_text":"Manish Mishra","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-12-03T02:46:01Z","title":"Langlands parameters associated to special maximal parahoric spherical representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0273","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:b72a3c6ebff6a22b1e60ede6f83d703aee6832c544402c7c36d488ab38790fbb","target":"record","created_at":"2026-05-18T03:08:47Z","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":"7c4e4eb1fa784b5f2905a07f874826923e9f1205830392da0e08a3ec93758c03","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-12-03T02:46:01Z","title_canon_sha256":"d65096d17c5041ee3385c23e786338368c894cce2990d38389b7cb6fd099bf43"},"schema_version":"1.0","source":{"id":"1212.0273","kind":"arxiv","version":2}},"canonical_sha256":"bd6f7b68d5103853fcf6c998c99efc15a7f99fcfc0d3842d32c0ab2c2ec365dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd6f7b68d5103853fcf6c998c99efc15a7f99fcfc0d3842d32c0ab2c2ec365dc","first_computed_at":"2026-05-18T03:08:47.464117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:47.464117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+8b46DUtBnb605xTqH7v6wLUYVr+2X2A8Gj/Qc3+i9lgqw2vjVNAALH9m/E71B/Wx9e6CtcIfjuyoL/gelsVDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:47.464862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.0273","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b72a3c6ebff6a22b1e60ede6f83d703aee6832c544402c7c36d488ab38790fbb","sha256:8de6faf6e02dd6b964f5cdf6b8e9e5da93ac3aab01d5308db8a1c23535dad03a"],"state_sha256":"e5525bd1da1a4097bcabb42536fd99e1b8343afcfcc4083da7eeda5cba6980b7"}