{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KAEMMW27MWSV374JJUVXETDOAT","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":"18a4fe996dcf7a0648b2429fb768c234586d9f6f75e768299ad69388e7ec0cfa","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-04T17:30:07Z","title_canon_sha256":"fa12d77e9b55a74fd3ad704f8f595b954e57887ce79c4b54be09f913ac400243"},"schema_version":"1.0","source":{"id":"1602.01758","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01758","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01758v2","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01758","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"KAEMMW27MWSV","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KAEMMW27MWSV374J","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KAEMMW27","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:8af308acaecb5221c8e20fe6fc2aaae6cb2b18f00c29a5ba55658b45097af6ed","target":"graph","created_at":"2026-05-18T01:15:06Z","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":"In this paper we study quantitative aspects of trace characters $\\Theta_\\pi$ of reductive $p$-adic groups when the representation $\\pi$ varies. Our approach is based on the local constancy of characters and we survey some other related results. We formulate a conjecture on the behavior of $\\Theta_\\pi$ relative to the formal degree of $\\pi$, which we are able to prove in the case where $\\pi$ is a tame supercuspidal. The proof builds on J.-K.~Yu's construction and the structure of Moy-Prasad subgroups.","authors_text":"Ju-Lee Kim, Nicolas Templier, Sug Woo Shin","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-04T17:30:07Z","title":"Asymptotics and local constancy of characters of p-adic groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01758","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:d17931b96e30f69f98fcdb71187994731dd76e5b794c793a75ff6954672e57b2","target":"record","created_at":"2026-05-18T01:15:06Z","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":"18a4fe996dcf7a0648b2429fb768c234586d9f6f75e768299ad69388e7ec0cfa","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-04T17:30:07Z","title_canon_sha256":"fa12d77e9b55a74fd3ad704f8f595b954e57887ce79c4b54be09f913ac400243"},"schema_version":"1.0","source":{"id":"1602.01758","kind":"arxiv","version":2}},"canonical_sha256":"5008c65b5f65a55dff894d2b724c6e04cd7e71a5b6d73c466e7b4aae913074fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5008c65b5f65a55dff894d2b724c6e04cd7e71a5b6d73c466e7b4aae913074fe","first_computed_at":"2026-05-18T01:15:06.331300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:06.331300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"11E4uFNcFCRBxi2fH3jBxxBSB4jm8FT+JmPzIs5Q+mewAqW6MWVUdlNbLSxTmu83MsMwcB662ab36JGySqy4Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:06.331858Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.01758","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d17931b96e30f69f98fcdb71187994731dd76e5b794c793a75ff6954672e57b2","sha256:8af308acaecb5221c8e20fe6fc2aaae6cb2b18f00c29a5ba55658b45097af6ed"],"state_sha256":"7ea2d943587f8ebe0d90185fef93df04cb0d417fd8d6978460d07e0a2476a210"}