{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JLJWKQGPQ3ZRZWUJKMIJIY3KD5","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":"e3e2ea8e6f6cee27aed94e88113085bbf54ebbb0382ed5db7805d69c82a0df70","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-09-10T14:51:20Z","title_canon_sha256":"dcde5f050dc98e279c283248a08f9c147a45add039524cd016abd08a2805d0cc"},"schema_version":"1.0","source":{"id":"1309.2534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2534","created_at":"2026-05-18T03:13:44Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2534v1","created_at":"2026-05-18T03:13:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2534","created_at":"2026-05-18T03:13:44Z"},{"alias_kind":"pith_short_12","alias_value":"JLJWKQGPQ3ZR","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JLJWKQGPQ3ZRZWUJ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JLJWKQGP","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:726cff24aa05903de06504297ed28239d3bf4d765545f6ddeba923d5113bec26","target":"graph","created_at":"2026-05-18T03:13:44Z","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":"Sorokin gave in 1996 a new proof that pi is transcendental. It is based on a simultaneous Pad\\'e approximation problem involving certain multiple polylogarithms, which evaluated at the point 1 are multiple zeta values equal to powers of pi. In this paper we construct a Pad\\'e approximation problem of the same flavour, and prove that it has a unique solution up to proportionality. At the point 1, this provides a rational linear combination of 1 and multiple zeta values in an extended sense that turn out to be values of the Riemann zeta function at odd integers. As an application, we obtain a ne","authors_text":"Stephane Fischler (LM-Orsay), Tanguy Rivoal (IF)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-09-10T14:51:20Z","title":"Multiple zeta values, Pad\\'e approximation and Vasilyev's conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2534","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":"sha256:91ea5f7d993970bf6e50f7870dc252cf3465078d7fec6fcf5352a7206686d9f4","target":"record","created_at":"2026-05-18T03:13:44Z","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":"e3e2ea8e6f6cee27aed94e88113085bbf54ebbb0382ed5db7805d69c82a0df70","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-09-10T14:51:20Z","title_canon_sha256":"dcde5f050dc98e279c283248a08f9c147a45add039524cd016abd08a2805d0cc"},"schema_version":"1.0","source":{"id":"1309.2534","kind":"arxiv","version":1}},"canonical_sha256":"4ad36540cf86f31cda89531094636a1f6f8599914d6d40526f190ad3e26f0a37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ad36540cf86f31cda89531094636a1f6f8599914d6d40526f190ad3e26f0a37","first_computed_at":"2026-05-18T03:13:44.327191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:44.327191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HE0ZsZK66Ek9STg3Ov8vDJuaobjqckvDZ5GDksiswUGmIGNCoTPybwGFJ034KDeXCIoHJ7gv1qUm6pyryPoOAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:44.327942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91ea5f7d993970bf6e50f7870dc252cf3465078d7fec6fcf5352a7206686d9f4","sha256:726cff24aa05903de06504297ed28239d3bf4d765545f6ddeba923d5113bec26"],"state_sha256":"69c840fdfa922c8f503dc6bc5b900925e616b53efba1e5cd8c7c90752763367f"}