{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:QTHT55FMAKXUVPFFCK7POGJYLT","short_pith_number":"pith:QTHT55FM","schema_version":"1.0","canonical_sha256":"84cf3ef4ac02af4abca512bef719385cf7960012f7a68cbe6adeb907ea52ff11","source":{"kind":"arxiv","id":"1407.5260","version":1},"attestation_state":"computed","paper":{"title":"On Harish-Chandra theory of global nonsymmetric functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Ivan Cherednik","submitted_at":"2014-07-20T09:48:38Z","abstract_excerpt":"This paper is devoted to the Harish-Chandra-type decomposition of the global nonsymmetric spherical functions in terms of their asymptotic expansions and the q,t-generalization of the celebrated c-function. This is for any reduced root systems in the q,t-setting; we pay special attention to the case of A1, where this decomposition is very explicit."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.5260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-07-20T09:48:38Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"df8852e72527ca4bc8f9adb7d387b8084012ba331e1ac25aa8ab7ea3f7131c58","abstract_canon_sha256":"04e8757d4067902f46d02330ee66032b6604ab87ed93083032b2afa6aa360dee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:14.503381Z","signature_b64":"9QYSEOxvqskxJSp/rkuJSjLpqc8Stt8IaYLHumOjbmd0IFLfgxbJKhTwXRCLXAUV85j+PIWq6f1XaxayGVgIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84cf3ef4ac02af4abca512bef719385cf7960012f7a68cbe6adeb907ea52ff11","last_reissued_at":"2026-05-18T02:47:14.502796Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:14.502796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Harish-Chandra theory of global nonsymmetric functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Ivan Cherednik","submitted_at":"2014-07-20T09:48:38Z","abstract_excerpt":"This paper is devoted to the Harish-Chandra-type decomposition of the global nonsymmetric spherical functions in terms of their asymptotic expansions and the q,t-generalization of the celebrated c-function. This is for any reduced root systems in the q,t-setting; we pay special attention to the case of A1, where this decomposition is very explicit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5260","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1407.5260","created_at":"2026-05-18T02:47:14.502907+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.5260v1","created_at":"2026-05-18T02:47:14.502907+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5260","created_at":"2026-05-18T02:47:14.502907+00:00"},{"alias_kind":"pith_short_12","alias_value":"QTHT55FMAKXU","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"QTHT55FMAKXUVPFF","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"QTHT55FM","created_at":"2026-05-18T12:28:46.137349+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QTHT55FMAKXUVPFFCK7POGJYLT","json":"https://pith.science/pith/QTHT55FMAKXUVPFFCK7POGJYLT.json","graph_json":"https://pith.science/api/pith-number/QTHT55FMAKXUVPFFCK7POGJYLT/graph.json","events_json":"https://pith.science/api/pith-number/QTHT55FMAKXUVPFFCK7POGJYLT/events.json","paper":"https://pith.science/paper/QTHT55FM"},"agent_actions":{"view_html":"https://pith.science/pith/QTHT55FMAKXUVPFFCK7POGJYLT","download_json":"https://pith.science/pith/QTHT55FMAKXUVPFFCK7POGJYLT.json","view_paper":"https://pith.science/paper/QTHT55FM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.5260&json=true","fetch_graph":"https://pith.science/api/pith-number/QTHT55FMAKXUVPFFCK7POGJYLT/graph.json","fetch_events":"https://pith.science/api/pith-number/QTHT55FMAKXUVPFFCK7POGJYLT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QTHT55FMAKXUVPFFCK7POGJYLT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QTHT55FMAKXUVPFFCK7POGJYLT/action/storage_attestation","attest_author":"https://pith.science/pith/QTHT55FMAKXUVPFFCK7POGJYLT/action/author_attestation","sign_citation":"https://pith.science/pith/QTHT55FMAKXUVPFFCK7POGJYLT/action/citation_signature","submit_replication":"https://pith.science/pith/QTHT55FMAKXUVPFFCK7POGJYLT/action/replication_record"}},"created_at":"2026-05-18T02:47:14.502907+00:00","updated_at":"2026-05-18T02:47:14.502907+00:00"}