{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QIYSOCEGLECIIVX6NF3ISKLCKX","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":"f7ee82862010a5eba54365153aa5c5e29798cba4f05b75a7114d0bb14332fbda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-12T02:09:01Z","title_canon_sha256":"aa57ed45242519917c1fc510f988a6c90503e1cc672053c276f59a44b50c0267"},"schema_version":"1.0","source":{"id":"1402.2715","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2715","created_at":"2026-05-18T02:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2715v1","created_at":"2026-05-18T02:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2715","created_at":"2026-05-18T02:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"QIYSOCEGLECI","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QIYSOCEGLECIIVX6","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QIYSOCEG","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:97619f89df1bf7da49bfb263b2deafa7899ec7462dddb5058a894e9bb9181768","target":"graph","created_at":"2026-05-18T02:59:17Z","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 this paper we prove that the affine Schur algebra $\\s$ is affine cellular over $\\bbq$. As an application, we prove it is of finite global dimension.","authors_text":"Guiyu yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-12T02:09:01Z","title":"Affine cellularity of S_triangle(2,2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2715","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:d6f02640ecb2d710b0cd006b4376eb39dc1b96a1cbb35a4f1f783c978867e88d","target":"record","created_at":"2026-05-18T02:59:17Z","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":"f7ee82862010a5eba54365153aa5c5e29798cba4f05b75a7114d0bb14332fbda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-12T02:09:01Z","title_canon_sha256":"aa57ed45242519917c1fc510f988a6c90503e1cc672053c276f59a44b50c0267"},"schema_version":"1.0","source":{"id":"1402.2715","kind":"arxiv","version":1}},"canonical_sha256":"823127088659048456fe697689296255c57870c61887a3eb4095077682f835b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"823127088659048456fe697689296255c57870c61887a3eb4095077682f835b2","first_computed_at":"2026-05-18T02:59:17.536853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:17.536853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ukl8N8+UCw1vJFrL2hGQP0YFpMuXfpE7I0lrEYJbFAh6Em4FrSVBDrTZYEY/k2wKUnp7k+702Nm6TAhPC7+3Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:17.537553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2715","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6f02640ecb2d710b0cd006b4376eb39dc1b96a1cbb35a4f1f783c978867e88d","sha256:97619f89df1bf7da49bfb263b2deafa7899ec7462dddb5058a894e9bb9181768"],"state_sha256":"4da4b159677be8cd25bd3c061118d238313b1de26154e3982e250d69cd613b94"}