{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NWSFRZCU6G4DBMIKUOAR24PILK","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":"6b4a1d2fc340a764292325a48de9b17996ad8a2803cf0580982407adf694975c","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-13T13:29:46Z","title_canon_sha256":"6953cc8cf2033742564c39abea6ca4618959077354f16eb219305d3f6d7d0560"},"schema_version":"1.0","source":{"id":"1309.3936","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3936","created_at":"2026-05-18T03:13:11Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3936v1","created_at":"2026-05-18T03:13:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3936","created_at":"2026-05-18T03:13:11Z"},{"alias_kind":"pith_short_12","alias_value":"NWSFRZCU6G4D","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NWSFRZCU6G4DBMIK","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NWSFRZCU","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:ac549351216620f135515adf73a2a5b7184b4a44a71fbe1643066849a862472e","target":"graph","created_at":"2026-05-18T03:13:11Z","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":"In terms of Sear's transformation formula for $_4\\phi_3$-series, we give new proofs of a summation formula for ${_4\\phi_3}$-series due to Andrews [2] and another summation formula for${_4\\phi_3}$-series conjectured in the same paper. Meanwhile, other several related results are also derived.","authors_text":"Chuanan Wei, Xiaoxia Wang","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-13T13:29:46Z","title":"A new proof of Andrews' conjecture for $_4\\phi_3$-series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3936","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:b8d2c099a6381e7fd85c86ffc3fb6b3eea951dca653f0db16580240a0a93dc2f","target":"record","created_at":"2026-05-18T03:13:11Z","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":"6b4a1d2fc340a764292325a48de9b17996ad8a2803cf0580982407adf694975c","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-13T13:29:46Z","title_canon_sha256":"6953cc8cf2033742564c39abea6ca4618959077354f16eb219305d3f6d7d0560"},"schema_version":"1.0","source":{"id":"1309.3936","kind":"arxiv","version":1}},"canonical_sha256":"6da458e454f1b830b10aa3811d71e85aa6aeeee96c3de5c54aa7ba0a443fdf1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6da458e454f1b830b10aa3811d71e85aa6aeeee96c3de5c54aa7ba0a443fdf1c","first_computed_at":"2026-05-18T03:13:11.783226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:11.783226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dU4W/38B9qewM1eEQzlHbzVWsKvHLN6CIUGx/Xzz33JiLi8uQsSSvYAnW1OVtiFBCDL95nahzoD8QVRzMfWsBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:11.783975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.3936","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8d2c099a6381e7fd85c86ffc3fb6b3eea951dca653f0db16580240a0a93dc2f","sha256:ac549351216620f135515adf73a2a5b7184b4a44a71fbe1643066849a862472e"],"state_sha256":"0b421159f5de9089e2f99cfcafd1524b9fe5c2c20ebfaff69e5d42234532192c"}