{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MQJWXC6HBG7BKICEJ2BF34QCMF","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":"be579ea067b204f5fe2d8c8de82e06f88d1f7838a944b0b0c2cf59194afa624d","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-05T04:15:02Z","title_canon_sha256":"f0217055efa04d56d818d26e8b8174bc27fe332636eae51ef855a928c21d61cd"},"schema_version":"1.0","source":{"id":"1802.01260","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01260","created_at":"2026-05-18T00:24:26Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01260v1","created_at":"2026-05-18T00:24:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01260","created_at":"2026-05-18T00:24:26Z"},{"alias_kind":"pith_short_12","alias_value":"MQJWXC6HBG7B","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MQJWXC6HBG7BKICE","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MQJWXC6H","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:808e30c1799f5fb33e3c8a0f830804d12485c212cb0058631b81b38572a3e321","target":"graph","created_at":"2026-05-18T00:24:26Z","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":"Guillera and Zudilin proved three \"divergent\" Ramanujan-type supercongruences by means of the Wilf-Zeilberger algorithmic technique. In this paper, we prove $q$-analogues of two of them via the $q$-WZ method. Additionally, we give $q$-analogues of two related congruence of Sun, one is confirmed and the other is conjectural.","authors_text":"Victor J. W. Guo","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-05T04:15:02Z","title":"q-Analogues of two \"divergent\" Ramanujan-type supercongruences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01260","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":"sha256:7e007b2b78f0f6612dfc8f7530ad93f548e84b693232bf7ae0c47174d461bc5f","target":"record","created_at":"2026-05-18T00:24:26Z","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":"be579ea067b204f5fe2d8c8de82e06f88d1f7838a944b0b0c2cf59194afa624d","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-05T04:15:02Z","title_canon_sha256":"f0217055efa04d56d818d26e8b8174bc27fe332636eae51ef855a928c21d61cd"},"schema_version":"1.0","source":{"id":"1802.01260","kind":"arxiv","version":1}},"canonical_sha256":"64136b8bc709be1520444e825df2026163789ff3b7c8b98578378756d345d115","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64136b8bc709be1520444e825df2026163789ff3b7c8b98578378756d345d115","first_computed_at":"2026-05-18T00:24:26.927138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:26.927138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Sz2UGRdwJw+XaAICCXyDjQqHHqmvOyWkbsO9PtGDTLYNaYtNMEEl/kflxbNvAVGq9Firr9J76IM5Dvz/NswCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:26.927905Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01260","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e007b2b78f0f6612dfc8f7530ad93f548e84b693232bf7ae0c47174d461bc5f","sha256:808e30c1799f5fb33e3c8a0f830804d12485c212cb0058631b81b38572a3e321"],"state_sha256":"93ec4e81e04345a764647653cee1dd27f92113d565db5fcc353aae71549b1aba"}