{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6QDDXMHZUQEHBZDP47ZOKN7VGG","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":"058a7a85ae73d76040cd1e0f1b5257e7223fa5d8bd9051937daf3dbea244d18a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-09T20:34:32Z","title_canon_sha256":"e7ab282c57a4e5cbbffb53c011a539f842b999e24a8ad1f2869a8929c331c44d"},"schema_version":"1.0","source":{"id":"1802.03443","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03443","created_at":"2026-05-18T00:23:51Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03443v1","created_at":"2026-05-18T00:23:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03443","created_at":"2026-05-18T00:23:51Z"},{"alias_kind":"pith_short_12","alias_value":"6QDDXMHZUQEH","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6QDDXMHZUQEHBZDP","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6QDDXMHZ","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:97d163e117a3881533b230ae6b46f58be1490edf85b12cd87a36a535fec4b312","target":"graph","created_at":"2026-05-18T00:23:51Z","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 define a transformation that associates certain exponential moment sequences with ordinary moment sequences in a natural way. The ingredients of this transformation are series reversion, the Sumudu transform (a variant of the Laplace transform), and the inverting of generating functions. This transformation also has a simple interpretation in terms of continued fractions. It associates lattice path objects with permutation objects, and in particular it associates the Narayana triangle with the Eulerian triangle.","authors_text":"Paul Barry","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-09T20:34:32Z","title":"On a transformation of Riordan moment sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03443","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":"sha256:9902329ce1bf2842a61f5cb88be203663f2b0e523e5aaf0352bfb53825bfc7be","target":"record","created_at":"2026-05-18T00:23:51Z","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":"058a7a85ae73d76040cd1e0f1b5257e7223fa5d8bd9051937daf3dbea244d18a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-09T20:34:32Z","title_canon_sha256":"e7ab282c57a4e5cbbffb53c011a539f842b999e24a8ad1f2869a8929c331c44d"},"schema_version":"1.0","source":{"id":"1802.03443","kind":"arxiv","version":1}},"canonical_sha256":"f4063bb0f9a40870e46fe7f2e537f53197f422ee74ce432315e039d0b8344770","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4063bb0f9a40870e46fe7f2e537f53197f422ee74ce432315e039d0b8344770","first_computed_at":"2026-05-18T00:23:51.630538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:51.630538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X1CYQJn7lhU9c2sGZ2MuT5/5NkygsCS/4xaSSkyd3RmtxPN0vIiAL0B1JaMeq2RnU0nAuEtmKCPI9TO2KeVxCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:51.631722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.03443","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9902329ce1bf2842a61f5cb88be203663f2b0e523e5aaf0352bfb53825bfc7be","sha256:97d163e117a3881533b230ae6b46f58be1490edf85b12cd87a36a535fec4b312"],"state_sha256":"4bdc607acc714f5998e782103dfe6a2eb740e90194c28f7d3ead71a37696c4ca"}