{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:C3YAVESN3FUVJCALEODKPQYKSY","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":"4e1a43eb4e81795609ff278228fa7d9895aa0613821be228806c24bf27861972","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2026-07-03T17:02:15Z","title_canon_sha256":"8a27597c610f4890779d6840a78613d14b77031738254048671f04d135263e5b"},"schema_version":"1.0","source":{"id":"2607.06581","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.06581","created_at":"2026-07-09T00:19:19Z"},{"alias_kind":"arxiv_version","alias_value":"2607.06581v1","created_at":"2026-07-09T00:19:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.06581","created_at":"2026-07-09T00:19:19Z"},{"alias_kind":"pith_short_12","alias_value":"C3YAVESN3FUV","created_at":"2026-07-09T00:19:19Z"},{"alias_kind":"pith_short_16","alias_value":"C3YAVESN3FUVJCAL","created_at":"2026-07-09T00:19:19Z"},{"alias_kind":"pith_short_8","alias_value":"C3YAVESN","created_at":"2026-07-09T00:19:19Z"}],"graph_snapshots":[{"event_id":"sha256:e185380e4ddf28f77b98cf155814967a68ff3f556bee6addc4322c3147eb8d0d","target":"graph","created_at":"2026-07-09T00:19:19Z","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/2607.06581/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"After giving a number of properties of continued fractions of polynomial type, in particular focusing on convergence properties and Bauer-Muir-Ap\\'ery acceleration techniques, we give a large list of continued fractions, both for specific real numbers, and for special functions, some extracted from a number of different sources, but most others being probably new. In addition to providing such a list, one of our main additions is to include the exact speed of convergence of these continued fractions (sometimes only up to a multiplicative constant), which is almost always omitted in the literat","authors_text":"Henri Cohen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2026-07-03T17:02:15Z","title":"Continued Fractions of Polynomial Type: Theory and Encyclopedic Dictionary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.06581","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":"sha256:467e8c47e6c8011681e357f8f01db3b25e185be5e53c0b42581e8abb05976c7a","target":"record","created_at":"2026-07-09T00:19:19Z","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":"4e1a43eb4e81795609ff278228fa7d9895aa0613821be228806c24bf27861972","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2026-07-03T17:02:15Z","title_canon_sha256":"8a27597c610f4890779d6840a78613d14b77031738254048671f04d135263e5b"},"schema_version":"1.0","source":{"id":"2607.06581","kind":"arxiv","version":1}},"canonical_sha256":"16f00a924dd96954880b2386a7c30a961bbe07393b83fc496d713bba433dadea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16f00a924dd96954880b2386a7c30a961bbe07393b83fc496d713bba433dadea","first_computed_at":"2026-07-09T00:19:19.277226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-09T00:19:19.277226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WktOHo7D+QaIP/R+yV+ZeMtJyVVN7QQoHTw6UBnuZyqqo67lyW5jVHvtNdSeLZ3nYPXBtbszxfnXiQHEAcwwBQ==","signature_status":"signed_v1","signed_at":"2026-07-09T00:19:19.277884Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.06581","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:467e8c47e6c8011681e357f8f01db3b25e185be5e53c0b42581e8abb05976c7a","sha256:e185380e4ddf28f77b98cf155814967a68ff3f556bee6addc4322c3147eb8d0d"],"state_sha256":"5e33e5f46c284c12d7168839f34c2efd6199f6c81e2e9891690168c35836c980"}