{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:QTWRIVHHESNJ6UFQKEYSCJ5ROA","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":"9ac4e16379f176a100ee7934154ac29ada05cda003e1be1f8308200f8dfa9d18","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-12-19T12:47:59Z","title_canon_sha256":"ec5ccdcbaadafa773e762ac05f3884bdd2d9cdaa034b3f840a272fe4812930d9"},"schema_version":"1.0","source":{"id":"0812.3773","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.3773","created_at":"2026-05-18T00:00:09Z"},{"alias_kind":"arxiv_version","alias_value":"0812.3773v1","created_at":"2026-05-18T00:00:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3773","created_at":"2026-05-18T00:00:09Z"},{"alias_kind":"pith_short_12","alias_value":"QTWRIVHHESNJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"QTWRIVHHESNJ6UFQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"QTWRIVHH","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:f3f1e66734f2b1e54c6aaf4cf3930dac83f1045f103b56e61f4c720d388c22fd","target":"graph","created_at":"2026-05-18T00:00:09Z","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 prove that the radial part of the class one Whittaker function on a split semisimple Lie group can be obtained as an appropriate limit of the Heckman-Opdam hypergeometric function.","authors_text":"Nobukazu shimeno","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-12-19T12:47:59Z","title":"A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3773","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":"sha256:604657ce1725f4b3baebfa7172c4fda6a5689353821b6fc200805b4ea7c68ae4","target":"record","created_at":"2026-05-18T00:00:09Z","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":"9ac4e16379f176a100ee7934154ac29ada05cda003e1be1f8308200f8dfa9d18","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-12-19T12:47:59Z","title_canon_sha256":"ec5ccdcbaadafa773e762ac05f3884bdd2d9cdaa034b3f840a272fe4812930d9"},"schema_version":"1.0","source":{"id":"0812.3773","kind":"arxiv","version":1}},"canonical_sha256":"84ed1454e7249a9f50b051312127b1702664ab03771a7e47a0c2a884e5f37995","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84ed1454e7249a9f50b051312127b1702664ab03771a7e47a0c2a884e5f37995","first_computed_at":"2026-05-18T00:00:09.723983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:09.723983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jXrMl/UVBlyhOdamDUvoZqwE9fEL9JRGElWaxN8qsLAMP2q48pU4sB9QEs6Msrpj9LRdfa+D1oRxTU0TxGaXDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:09.724431Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.3773","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:604657ce1725f4b3baebfa7172c4fda6a5689353821b6fc200805b4ea7c68ae4","sha256:f3f1e66734f2b1e54c6aaf4cf3930dac83f1045f103b56e61f4c720d388c22fd"],"state_sha256":"1c42a9ebeb329629f05ec1eb8cb98c79c46c6f9a097f4c479e5a6ea90e5e0a4a"}