{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:M5GUCISUNEVNHPKWJHSBHMOZB7","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":"b0e5d12d6749f00fb1677f6f4609f2d5b24c219e3a3fd4d5c1e519e8d8da37ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-25T10:51:16Z","title_canon_sha256":"f1c61a7d6417454c87f170484199511828113a80537e2d13b0a50f9123595854"},"schema_version":"1.0","source":{"id":"1201.5233","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5233","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5233v3","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5233","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"M5GUCISUNEVN","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"M5GUCISUNEVNHPKW","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"M5GUCISU","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:d43351fefc34872fa514a615a47f7d875af1727f74858bdd8739dca30399424b","target":"graph","created_at":"2026-05-18T03:43:18Z","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":"Using the theory of Calabi-Yau differential equations we obtain all the parameters of Ramanujan-Sato-like series for $1/\\pi^2$ as $q$-functions valid in the complex plane. Then we use these q-functions together with a conjecture to find new examples of series of non-hypergeometric type. To motivate our theory we begin with the simpler case of Ramanujan-Sato series for $1/\\pi$.","authors_text":"Gert Almkvist, Jes\\'us Guillera","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-25T10:51:16Z","title":"Ramanujan-Sato-like series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5233","kind":"arxiv","version":3},"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:fbd4908221e3e123c4b13753282637472b40d09bbbc1903994bf86ddd20a87fb","target":"record","created_at":"2026-05-18T03:43:18Z","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":"b0e5d12d6749f00fb1677f6f4609f2d5b24c219e3a3fd4d5c1e519e8d8da37ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-25T10:51:16Z","title_canon_sha256":"f1c61a7d6417454c87f170484199511828113a80537e2d13b0a50f9123595854"},"schema_version":"1.0","source":{"id":"1201.5233","kind":"arxiv","version":3}},"canonical_sha256":"674d412254692ad3bd5649e413b1d90fd89f90f9fe630ac922e9410ab1586582","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"674d412254692ad3bd5649e413b1d90fd89f90f9fe630ac922e9410ab1586582","first_computed_at":"2026-05-18T03:43:18.461624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:18.461624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sVDoSddnEuFt/2xgtICwv5c7wORClngcvSh78m7+U6Lt7K6o7bhwTtegLRTXqINy+jC+6jw8bcUIYkLkaNAnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:18.462311Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5233","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbd4908221e3e123c4b13753282637472b40d09bbbc1903994bf86ddd20a87fb","sha256:d43351fefc34872fa514a615a47f7d875af1727f74858bdd8739dca30399424b"],"state_sha256":"c397556e57e436964ef37c1ef231e45a8c365159f248f026f5660b2618a27c57"}