{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:BQUYDXJEJROTQPYLWMT7MJFMPC","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":"ee16ae525880e9190e4cacb99b3e9cc6c602d9e5285d4ad46ea96641ac1fccf7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-12-12T14:13:06Z","title_canon_sha256":"970b036fc313129ea3445580c439456a8b96293518d50d9a6925f83079ad4873"},"schema_version":"1.0","source":{"id":"1012.2545","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2545","created_at":"2026-05-18T04:33:28Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2545v1","created_at":"2026-05-18T04:33:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2545","created_at":"2026-05-18T04:33:28Z"},{"alias_kind":"pith_short_12","alias_value":"BQUYDXJEJROT","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BQUYDXJEJROTQPYL","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BQUYDXJE","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:7f31d9cdcf4297ca4969dc244ac411fac48f40cf8fcd42f0dd95218deb539142","target":"graph","created_at":"2026-05-18T04:33:28Z","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":"We give a new proof of a_4\\phi_3 summation due to G.E. Andrews and confirm another_4\\phi_3 summation conjectured by him recently. Some variations of these two_4\\phi_3 summations are also given.","authors_text":"Victor J. W. Guo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-12-12T14:13:06Z","title":"Proof of Andrews' conjecture on a_4\\phi_3 summation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2545","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:ee62c0f00e593e619cf203a26e29b735dc08c7f56c90e000916ba80adc46f357","target":"record","created_at":"2026-05-18T04:33:28Z","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":"ee16ae525880e9190e4cacb99b3e9cc6c602d9e5285d4ad46ea96641ac1fccf7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-12-12T14:13:06Z","title_canon_sha256":"970b036fc313129ea3445580c439456a8b96293518d50d9a6925f83079ad4873"},"schema_version":"1.0","source":{"id":"1012.2545","kind":"arxiv","version":1}},"canonical_sha256":"0c2981dd244c5d383f0bb327f624ac78beeb52c3f6b1ddb8dbda4fbb7a920e47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c2981dd244c5d383f0bb327f624ac78beeb52c3f6b1ddb8dbda4fbb7a920e47","first_computed_at":"2026-05-18T04:33:28.370995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:28.370995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tlf2pD0bOoITHcJu00YxV2labvgYT2mlojbDjYb+4CxSwaUcuLKyhtIYuVM4xUbEGuVJC/POSZNuWdIXZqMUDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:28.371426Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2545","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee62c0f00e593e619cf203a26e29b735dc08c7f56c90e000916ba80adc46f357","sha256:7f31d9cdcf4297ca4969dc244ac411fac48f40cf8fcd42f0dd95218deb539142"],"state_sha256":"f16a1596e776b5f091fbd6d1ea81d0031afc0fefee1f2630a71aa00abb9b9afe"}