{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TVGU34ICKOQR2RHAJKJ4NXRPNX","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":"fe8967cf52ca5bcef591f69c71d27b7155230d91670ebd2d89f2b1beae5fc8f0","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-02-23T18:09:17Z","title_canon_sha256":"7aa65ea775304274ee4f6245deb1795eba380de4330c930af118ee6a7e1de78c"},"schema_version":"1.0","source":{"id":"1002.4384","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4384","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4384v2","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4384","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"TVGU34ICKOQR","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TVGU34ICKOQR2RHA","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TVGU34IC","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:99f87512f96cc6fb9abbb140c4b29f43adb284052b67a3cd1f3619832e2a1bc4","target":"graph","created_at":"2026-05-18T02:24:38Z","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":"The conjecture that the orbit-counting generating function for totally symmetric plane partitions can be written as an explicit product formula, has been stated independently by George Andrews and David Robbins around 1983. We present a proof of this long-standing conjecture.","authors_text":"Christoph Koutschan, Doron Zeilberger, Manuel Kauers","cross_cats":["cs.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-02-23T18:09:17Z","title":"Proof of George Andrews's and David Robbins's q-TSPP Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4384","kind":"arxiv","version":2},"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":"sha256:10146ff41303796756276472d2f5d4b7c822635519ee6bb4f4ffc254b4d203fb","target":"record","created_at":"2026-05-18T02:24:38Z","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":"fe8967cf52ca5bcef591f69c71d27b7155230d91670ebd2d89f2b1beae5fc8f0","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-02-23T18:09:17Z","title_canon_sha256":"7aa65ea775304274ee4f6245deb1795eba380de4330c930af118ee6a7e1de78c"},"schema_version":"1.0","source":{"id":"1002.4384","kind":"arxiv","version":2}},"canonical_sha256":"9d4d4df10253a11d44e04a93c6de2f6ddc7bd2b152a220752645ccc36e3c8d4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d4d4df10253a11d44e04a93c6de2f6ddc7bd2b152a220752645ccc36e3c8d4c","first_computed_at":"2026-05-18T02:24:38.618457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:38.618457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FXC8dDFd+pPyAPdFNlwu0JieFJUC9oshIVnRYy73VI+FGSOoe9+ORMkISjOvFri9s1BaIwtOwH1Qhuiq/MQbCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:38.619167Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.4384","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10146ff41303796756276472d2f5d4b7c822635519ee6bb4f4ffc254b4d203fb","sha256:99f87512f96cc6fb9abbb140c4b29f43adb284052b67a3cd1f3619832e2a1bc4"],"state_sha256":"f78f1592908fbe91f6855ae8c39606c2eae4fd4bf7c56265c5aa16fafe87fda4"}