{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZLLMCD6SY6HQG7Q33MS56VQ7OM","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":"1924f262a635b35d4c62d5b461dbd3f55ea06d5aa5d9e0f5d24e537cccc4b3fa","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-10-01T11:31:39Z","title_canon_sha256":"1ea46eacd6b4e764136e6b0a15cb19a8fb683bddaf1b044b625338b39785d755"},"schema_version":"1.0","source":{"id":"1410.0183","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0183","created_at":"2026-05-18T01:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0183v1","created_at":"2026-05-18T01:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0183","created_at":"2026-05-18T01:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"ZLLMCD6SY6HQ","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZLLMCD6SY6HQG7Q3","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZLLMCD6S","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:69bfa85f1c909fcbbd56e4b8afad0b60c001d678dfac560d2c08bb360f9df96a","target":"graph","created_at":"2026-05-18T01:41:53Z","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":"A new recurrence relation for exceptional orthogonal polynomials is proposed, which holds for type 1, 2 and 3. As concrete examples, the recurrence relations are given for Xj-Hermite, Laguerre and Jacobi polynomials in j = 1,2 case.","authors_text":"Hiroshi Miki, Satoshi Tsujimoto","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-10-01T11:31:39Z","title":"A new recurrence formula for generic exceptional orthogonal polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0183","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":"sha256:0b096629ea38973d23ac609e3f693dce289cfc8c2e8593d7efa37cef6ff2fca0","target":"record","created_at":"2026-05-18T01:41:53Z","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":"1924f262a635b35d4c62d5b461dbd3f55ea06d5aa5d9e0f5d24e537cccc4b3fa","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-10-01T11:31:39Z","title_canon_sha256":"1ea46eacd6b4e764136e6b0a15cb19a8fb683bddaf1b044b625338b39785d755"},"schema_version":"1.0","source":{"id":"1410.0183","kind":"arxiv","version":1}},"canonical_sha256":"cad6c10fd2c78f037e1bdb25df561f7336a1239720eb82ab59fd0590d9659b30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cad6c10fd2c78f037e1bdb25df561f7336a1239720eb82ab59fd0590d9659b30","first_computed_at":"2026-05-18T01:41:53.617712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:53.617712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xQuVvy5/ozzrSf4io+mYNQsIilNgVgxSddcwk1xVYZFyhbi8gwStcfUZB/gLDuN+HwwBEmCw0WM+W3f9VoX7AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:53.618378Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.0183","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b096629ea38973d23ac609e3f693dce289cfc8c2e8593d7efa37cef6ff2fca0","sha256:69bfa85f1c909fcbbd56e4b8afad0b60c001d678dfac560d2c08bb360f9df96a"],"state_sha256":"5ca2473ee24c48ffa8e66dec18d8cbe277f37148d6d2f62f9ce301ade558b8de"}