{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:D273PWZIZN3TUBLGSNW72LTRLE","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":"f7f8a98360cba92f41c3b6ccc69b0cfc1f9fa13d54a77c123e2dfc01ecbd0a23","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-28T19:34:08Z","title_canon_sha256":"ab0bb5626e342b53a5b5bbf5f12e62c350ea365585644acff5e6e8b3239c3737"},"schema_version":"1.0","source":{"id":"1812.11205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.11205","created_at":"2026-05-17T23:57:14Z"},{"alias_kind":"arxiv_version","alias_value":"1812.11205v1","created_at":"2026-05-17T23:57:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11205","created_at":"2026-05-17T23:57:14Z"},{"alias_kind":"pith_short_12","alias_value":"D273PWZIZN3T","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D273PWZIZN3TUBLG","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D273PWZI","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:4b57f09b44baf1805c26c9a2345a04669f07c055ad6a9e4ceb1454f2cc056478","target":"graph","created_at":"2026-05-17T23:57:14Z","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 present a convergence theorem for continued fractions of the form $K_{n=1}^{\\infty}a_{n}/1$. By deriving conditions on the $a_{n}$ which ensure that the odd and even parts of $K_{n=1}^{\\infty}a_{n}/1$ converge, these same conditions also ensure that they converge to the same limit. Examples will be given.","authors_text":"James Mc Laughlin, Nancy J. Wyshinski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-28T19:34:08Z","title":"A convergence theorem for continued fractions of the form $K_{n=1}^{\\infty} a_{n}/1$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11205","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:c11414f1c27e9acf55b8468f4d960aaed47e1bb4364397c5913d7aac745b6175","target":"record","created_at":"2026-05-17T23:57:14Z","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":"f7f8a98360cba92f41c3b6ccc69b0cfc1f9fa13d54a77c123e2dfc01ecbd0a23","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-28T19:34:08Z","title_canon_sha256":"ab0bb5626e342b53a5b5bbf5f12e62c350ea365585644acff5e6e8b3239c3737"},"schema_version":"1.0","source":{"id":"1812.11205","kind":"arxiv","version":1}},"canonical_sha256":"1ebfb7db28cb773a0566936dfd2e71590f37e16a846544dd6b7bd1a351f4a4ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ebfb7db28cb773a0566936dfd2e71590f37e16a846544dd6b7bd1a351f4a4ae","first_computed_at":"2026-05-17T23:57:14.450131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:14.450131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KXXQayPtO/10MUfXs025nj2hs0fFqeLGVb6+46JVEmgjQL7/ahRCqZFwocWkjJVE/uy6Dg2mP568+mDiYAdwCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:14.450760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.11205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c11414f1c27e9acf55b8468f4d960aaed47e1bb4364397c5913d7aac745b6175","sha256:4b57f09b44baf1805c26c9a2345a04669f07c055ad6a9e4ceb1454f2cc056478"],"state_sha256":"d3aae3209e8cdba106f750a98e7881a5fbe32df6ea42460f2c5b43894a6a4207"}