{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XLMO5NWVXQMFCDLX2SDVVT322T","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":"396a02996ebee780396e6438d227ad1f2984db6db15950c728399c55a342cc3d","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-07T20:24:24Z","title_canon_sha256":"689f1eb014a3eb02be193c3f328f740fc0cb9c5e2eb0e5a64a4553540661b71e"},"schema_version":"1.0","source":{"id":"1407.1867","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1867","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1867v2","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1867","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"pith_short_12","alias_value":"XLMO5NWVXQMF","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XLMO5NWVXQMFCDLX","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XLMO5NWV","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:8d7a04dfae849eb5fc9c5a1ad8fa7fee827e41f5c18619d2ebd408d69076b2a9","target":"graph","created_at":"2026-05-18T02:47:15Z","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 present a simple algebraic construction of all the small resolutions for the SU(5) Weierstrass model. Each resolution corresponds to a subchamber on the Coulomb branch of the five-dimensional N=1 SU(5) gauge theory with matter fields in the fundamental and two-index antisymmetric representations. This construction unifies all previous resolutions found in the literature in a single framework.","authors_text":"Mboyo Esole, Shing-Tung Yau, Shu-Heng Shao","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-07T20:24:24Z","title":"Singularities and Gauge Theory Phases II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1867","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:ee4487d9fc6923cd587fd800740e46092b4d1636ab817496c573be114b97b63e","target":"record","created_at":"2026-05-18T02:47:15Z","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":"396a02996ebee780396e6438d227ad1f2984db6db15950c728399c55a342cc3d","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-07T20:24:24Z","title_canon_sha256":"689f1eb014a3eb02be193c3f328f740fc0cb9c5e2eb0e5a64a4553540661b71e"},"schema_version":"1.0","source":{"id":"1407.1867","kind":"arxiv","version":2}},"canonical_sha256":"bad8eeb6d5bc18510d77d4875acf7ad4fa8447fa793f4f29ba822835fdb2d140","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bad8eeb6d5bc18510d77d4875acf7ad4fa8447fa793f4f29ba822835fdb2d140","first_computed_at":"2026-05-18T02:47:15.098073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:15.098073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"na/ne9eIypGeZNmF9YxIkyhkCFZKDs6TSUdkiEraUB9oQL0ehXdePUEFO+05DU0hobf2pZFRxhh3u6t5wnbGAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:15.098729Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.1867","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee4487d9fc6923cd587fd800740e46092b4d1636ab817496c573be114b97b63e","sha256:8d7a04dfae849eb5fc9c5a1ad8fa7fee827e41f5c18619d2ebd408d69076b2a9"],"state_sha256":"8338b5140bbb9bffd58aa943a398ce5cd066b2da285a434aba5900b56d7484e4"}