{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RG6Y5DLV3C5J4F4GU64BPLK67D","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":"6e875178fdee32c930850a2a9767c1bf2605c7ea879116312db122f88fd794c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-08-09T13:08:20Z","title_canon_sha256":"0e1706c8a8241f02c9d4e4c107611efcbb8f567d46df9257899aa3a815783d51"},"schema_version":"1.0","source":{"id":"1308.2115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2115","created_at":"2026-05-18T03:16:18Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2115v1","created_at":"2026-05-18T03:16:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2115","created_at":"2026-05-18T03:16:18Z"},{"alias_kind":"pith_short_12","alias_value":"RG6Y5DLV3C5J","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RG6Y5DLV3C5J4F4G","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RG6Y5DLV","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:0fc2ad8d578ef4bb731f14876cc732e3f076535b70c5570bcc4614043be5359f","target":"graph","created_at":"2026-05-18T03:16:18Z","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 higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials with viewpoint of umbral calculus and give some interesting identities and formulae of those polynomials which are derived from umbral calculus.","authors_text":"Dae San Kim, Taekyun Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-08-09T13:08:20Z","title":"Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2115","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:dabe44e20e31d90bd964bf335c4d9fa9ff85dcfb819350ea45d59471052c990c","target":"record","created_at":"2026-05-18T03:16:18Z","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":"6e875178fdee32c930850a2a9767c1bf2605c7ea879116312db122f88fd794c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-08-09T13:08:20Z","title_canon_sha256":"0e1706c8a8241f02c9d4e4c107611efcbb8f567d46df9257899aa3a815783d51"},"schema_version":"1.0","source":{"id":"1308.2115","kind":"arxiv","version":1}},"canonical_sha256":"89bd8e8d75d8ba9e1786a7b817ad5ef8fb7e813d201aeb6199058bff2aec2518","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89bd8e8d75d8ba9e1786a7b817ad5ef8fb7e813d201aeb6199058bff2aec2518","first_computed_at":"2026-05-18T03:16:18.231334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:18.231334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S1ZbY7VO/8MAvL2Jso5Pi6ASVU45stU35WelLOUVlA78ZlQhBjS138tBQHIJ8w3QmeRc8Yy9sqLkvmGRQ8gcAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:18.231883Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.2115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dabe44e20e31d90bd964bf335c4d9fa9ff85dcfb819350ea45d59471052c990c","sha256:0fc2ad8d578ef4bb731f14876cc732e3f076535b70c5570bcc4614043be5359f"],"state_sha256":"a68200f08c2bf98ed0b0e21c25a9e68a41d2105b9d28b89f400fa85fe2144b04"}