{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:IPX4MC24WC2UGYKWE2S3RYXVV7","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":"e1998f4a08bb14f4132dc730a64616d1fd62b1f66e75cbce2ed491703f6ad2ef","cross_cats_sorted":[],"license":"","primary_cat":"cs.SC","submitted_at":"2007-01-25T08:07:38Z","title_canon_sha256":"c261cbc18dc970fb5e777fd524d99ef79ec75af0c2543111b6c88bf667c504b2"},"schema_version":"1.0","source":{"id":"cs/0701151","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0701151","created_at":"2026-05-18T01:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0701151v1","created_at":"2026-05-18T01:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0701151","created_at":"2026-05-18T01:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"IPX4MC24WC2U","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"IPX4MC24WC2UGYKW","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"IPX4MC24","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:c343156f189665f8bffe399370a484a421952f126a59248b009e8997c90043b9","target":"graph","created_at":"2026-05-18T01:09:19Z","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"},"paper":{"abstract_excerpt":"The currently best known algorithms for the numerical evaluation of hypergeometric constants such as $\\zeta(3)$ to $d$ decimal digits have time complexity $O(M(d) \\log^2 d)$ and space complexity of $O(d \\log d)$ or $O(d)$. Following work from Cheng, Gergel, Kim and Zima, we present a new algorithm with the same asymptotic complexity, but more efficient in practice. Our implementation of this algorithm improves slightly over existing programs for the computation of $\\pi$, and we announce a new record of 2 billion digits for $\\zeta(3)$.","authors_text":"Emmanuel Thom\\'e (INRIA Lorraine - LORIA), Eugene Zima, Guillaume Hanrot (INRIA Lorraine - LORIA), Howard Cheng, Paul Zimmermann (INRIA Lorraine - LORIA)","cross_cats":[],"headline":"","license":"","primary_cat":"cs.SC","submitted_at":"2007-01-25T08:07:38Z","title":"Time- and Space-Efficient Evaluation of Some Hypergeometric Constants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0701151","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":"sha256:57fa434fcf5e99ab2e327bbe88d2e3d5718fe53af17209ed6bb4c1484f6c3460","target":"record","created_at":"2026-05-18T01:09:19Z","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":"e1998f4a08bb14f4132dc730a64616d1fd62b1f66e75cbce2ed491703f6ad2ef","cross_cats_sorted":[],"license":"","primary_cat":"cs.SC","submitted_at":"2007-01-25T08:07:38Z","title_canon_sha256":"c261cbc18dc970fb5e777fd524d99ef79ec75af0c2543111b6c88bf667c504b2"},"schema_version":"1.0","source":{"id":"cs/0701151","kind":"arxiv","version":1}},"canonical_sha256":"43efc60b5cb0b543615626a5b8e2f5afda5342acab1ce3c6c72efcd994b2dd58","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43efc60b5cb0b543615626a5b8e2f5afda5342acab1ce3c6c72efcd994b2dd58","first_computed_at":"2026-05-18T01:09:19.662231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:19.662231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uHySjbenFiHWDprFGPOBQUl3IuYJj3yaWgQuvwVYuaQQIyFZFKT4U7LH3eK5NCOQl9TD8Q9ToLXBHmUlp61XDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:19.662765Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0701151","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57fa434fcf5e99ab2e327bbe88d2e3d5718fe53af17209ed6bb4c1484f6c3460","sha256:c343156f189665f8bffe399370a484a421952f126a59248b009e8997c90043b9"],"state_sha256":"8c5cc08742fbba7083085d94d240e99ca7b7f6ae6f564b366629a642290afd34"}