{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:NTWFNMIHBB2VABKWJ2WTZED5V3","short_pith_number":"pith:NTWFNMIH","canonical_record":{"source":{"id":"2507.03862","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2025-07-05T02:24:24Z","cross_cats_sorted":[],"title_canon_sha256":"1f95758de95b0b8f4b10f275bdad14bfba7cf5cb372d332b53a6f8c5d1fe1811","abstract_canon_sha256":"48507e3380246fdb5a18debfa0cb2a2a5d6bb52b638a48ac40c160d259a29775"},"schema_version":"1.0"},"canonical_sha256":"6cec56b10708755005564ead3c907daee2a2df9993e8815be0aaa2cc075fb7e5","source":{"kind":"arxiv","id":"2507.03862","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.03862","created_at":"2026-07-05T11:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"2507.03862v1","created_at":"2026-07-05T11:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.03862","created_at":"2026-07-05T11:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"NTWFNMIHBB2V","created_at":"2026-07-05T11:32:36Z"},{"alias_kind":"pith_short_16","alias_value":"NTWFNMIHBB2VABKW","created_at":"2026-07-05T11:32:36Z"},{"alias_kind":"pith_short_8","alias_value":"NTWFNMIH","created_at":"2026-07-05T11:32:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:NTWFNMIHBB2VABKWJ2WTZED5V3","target":"record","payload":{"canonical_record":{"source":{"id":"2507.03862","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2025-07-05T02:24:24Z","cross_cats_sorted":[],"title_canon_sha256":"1f95758de95b0b8f4b10f275bdad14bfba7cf5cb372d332b53a6f8c5d1fe1811","abstract_canon_sha256":"48507e3380246fdb5a18debfa0cb2a2a5d6bb52b638a48ac40c160d259a29775"},"schema_version":"1.0"},"canonical_sha256":"6cec56b10708755005564ead3c907daee2a2df9993e8815be0aaa2cc075fb7e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:32:36.087532Z","signature_b64":"nsm+SKwSzEL60VmAS54PJXAMvsKC7Qscfx3Z6zCf6/J0rnIhslV/e42qIGZ69/6B++TjQp3zKlq9YXu9YE8ACQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cec56b10708755005564ead3c907daee2a2df9993e8815be0aaa2cc075fb7e5","last_reissued_at":"2026-07-05T11:32:36.086942Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:32:36.086942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.03862","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":"2026-07-05T11:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e1K+SbQVU+bM+BZNBivaK7T8qQhATL4Vyej0yO34fAYKIxuVy44CpDJWPKHT6sOku+bFd+5yKJdbx/Ln1OGSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T22:49:31.261609Z"},"content_sha256":"6180eb0797f01425cea979169140a196f3c68506b5204ca7da529460b6f9fe35","schema_version":"1.0","event_id":"sha256:6180eb0797f01425cea979169140a196f3c68506b5204ca7da529460b6f9fe35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:NTWFNMIHBB2VABKWJ2WTZED5V3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Eigenvalue equations for sieved polynomials or proving Askey right again","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Alexei Zhedanov, Luc Vinet","submitted_at":"2025-07-05T02:24:24Z","abstract_excerpt":"The sieved Jacobi polynomials have been introduced by Askey. These can be obtained from conveniently taking $q$ to be a root of unity in the Askey-Wilson polynomials. The question of determining if they are eigenfunctions of some operator has been lingering for a long time. Askey impressed on us his conviction that it had an affirmative answer. It is shown that he was right and that this operator is of Dunkl type with cyclic reflections corresponding to the powers of $q$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.03862","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.03862/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Oarx8hDW/euU5ZSz12Loeaf+1CPBLnzOsT47OkbRwxVjCswYNnZYciHsLAK0XN4Drni0sgxOyJV0ayRdZ7kAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T22:49:31.263049Z"},"content_sha256":"c3dd07cd554543bb2507ceb20908a0092ad7c51df2fc23afd308d2d51919dbb4","schema_version":"1.0","event_id":"sha256:c3dd07cd554543bb2507ceb20908a0092ad7c51df2fc23afd308d2d51919dbb4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NTWFNMIHBB2VABKWJ2WTZED5V3/bundle.json","state_url":"https://pith.science/pith/NTWFNMIHBB2VABKWJ2WTZED5V3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NTWFNMIHBB2VABKWJ2WTZED5V3/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":"2026-08-10T22:49:31Z","links":{"resolver":"https://pith.science/pith/NTWFNMIHBB2VABKWJ2WTZED5V3","bundle":"https://pith.science/pith/NTWFNMIHBB2VABKWJ2WTZED5V3/bundle.json","state":"https://pith.science/pith/NTWFNMIHBB2VABKWJ2WTZED5V3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NTWFNMIHBB2VABKWJ2WTZED5V3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NTWFNMIHBB2VABKWJ2WTZED5V3","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":"48507e3380246fdb5a18debfa0cb2a2a5d6bb52b638a48ac40c160d259a29775","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2025-07-05T02:24:24Z","title_canon_sha256":"1f95758de95b0b8f4b10f275bdad14bfba7cf5cb372d332b53a6f8c5d1fe1811"},"schema_version":"1.0","source":{"id":"2507.03862","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.03862","created_at":"2026-07-05T11:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"2507.03862v1","created_at":"2026-07-05T11:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.03862","created_at":"2026-07-05T11:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"NTWFNMIHBB2V","created_at":"2026-07-05T11:32:36Z"},{"alias_kind":"pith_short_16","alias_value":"NTWFNMIHBB2VABKW","created_at":"2026-07-05T11:32:36Z"},{"alias_kind":"pith_short_8","alias_value":"NTWFNMIH","created_at":"2026-07-05T11:32:36Z"}],"graph_snapshots":[{"event_id":"sha256:c3dd07cd554543bb2507ceb20908a0092ad7c51df2fc23afd308d2d51919dbb4","target":"graph","created_at":"2026-07-05T11:32:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.03862/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The sieved Jacobi polynomials have been introduced by Askey. These can be obtained from conveniently taking $q$ to be a root of unity in the Askey-Wilson polynomials. The question of determining if they are eigenfunctions of some operator has been lingering for a long time. Askey impressed on us his conviction that it had an affirmative answer. It is shown that he was right and that this operator is of Dunkl type with cyclic reflections corresponding to the powers of $q$.","authors_text":"Alexei Zhedanov, Luc Vinet","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2025-07-05T02:24:24Z","title":"Eigenvalue equations for sieved polynomials or proving Askey right again"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.03862","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":"sha256:6180eb0797f01425cea979169140a196f3c68506b5204ca7da529460b6f9fe35","target":"record","created_at":"2026-07-05T11:32:36Z","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":"48507e3380246fdb5a18debfa0cb2a2a5d6bb52b638a48ac40c160d259a29775","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2025-07-05T02:24:24Z","title_canon_sha256":"1f95758de95b0b8f4b10f275bdad14bfba7cf5cb372d332b53a6f8c5d1fe1811"},"schema_version":"1.0","source":{"id":"2507.03862","kind":"arxiv","version":1}},"canonical_sha256":"6cec56b10708755005564ead3c907daee2a2df9993e8815be0aaa2cc075fb7e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cec56b10708755005564ead3c907daee2a2df9993e8815be0aaa2cc075fb7e5","first_computed_at":"2026-07-05T11:32:36.086942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:32:36.086942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nsm+SKwSzEL60VmAS54PJXAMvsKC7Qscfx3Z6zCf6/J0rnIhslV/e42qIGZ69/6B++TjQp3zKlq9YXu9YE8ACQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:32:36.087532Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.03862","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6180eb0797f01425cea979169140a196f3c68506b5204ca7da529460b6f9fe35","sha256:c3dd07cd554543bb2507ceb20908a0092ad7c51df2fc23afd308d2d51919dbb4"],"state_sha256":"58d3ef032bdce68bea3d6a409599a91c433ceaed1f50e5c34c4911e0262e61e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ofRJPVRLqV2mPJTLs7uJRtCTZ0wblfD68cABQ5+O1jeiFaF2FIe7XFNRQqVpcFAI3w5dRtAF96hLJXXPLNQNCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T22:49:31.271514Z","bundle_sha256":"d821da67e5b210e583b8c8586394cb6bc893aea32d35b9abb3e5ddd8ca9f71e1"}}