{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LAPKVPIWIB2FVQHWYRSU25SEI3","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":"2d940e39b7cfd9006795be9693445c1969c9b431e73eb73040e8b777ff30996d","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-25T23:00:44Z","title_canon_sha256":"e8f0e30b7a62890f9a4a227a6b73d58a1596d23b37a4b30db8d33dad1bf358c7"},"schema_version":"1.0","source":{"id":"1707.08245","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08245","created_at":"2026-05-18T00:10:13Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08245v3","created_at":"2026-05-18T00:10:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08245","created_at":"2026-05-18T00:10:13Z"},{"alias_kind":"pith_short_12","alias_value":"LAPKVPIWIB2F","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LAPKVPIWIB2FVQHW","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LAPKVPIW","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:61ea64b6f42c4edb594335d18665abb8f805a80b9192ee29938b7f5bc24cb389","target":"graph","created_at":"2026-05-18T00:10:13Z","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":"Using the theory of dimer models Broomhead proved that every 3-dimensional Gorenstein affine toric variety Spec R admits a toric non-commutative crepant resolution (NCCR). We give an alternative proof of this result by constructing a tilting bundle on a (stacky) crepant resolution of Spec R using standard toric methods. Our proof does not use dimer models.","authors_text":"Michel Van den Bergh, \\v{S}pela \\v{S}penko","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-25T23:00:44Z","title":"Non-commutative crepant resolutions for some toric singularities II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08245","kind":"arxiv","version":3},"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":"sha256:4662cdcd15da590afaf9be198de8f81e3dca68cfcf1d078619f216f84c70c74d","target":"record","created_at":"2026-05-18T00:10:13Z","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":"2d940e39b7cfd9006795be9693445c1969c9b431e73eb73040e8b777ff30996d","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-25T23:00:44Z","title_canon_sha256":"e8f0e30b7a62890f9a4a227a6b73d58a1596d23b37a4b30db8d33dad1bf358c7"},"schema_version":"1.0","source":{"id":"1707.08245","kind":"arxiv","version":3}},"canonical_sha256":"581eaabd1640745ac0f6c4654d764446dab6eb85dc03b399dbcd723c77f60f8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"581eaabd1640745ac0f6c4654d764446dab6eb85dc03b399dbcd723c77f60f8f","first_computed_at":"2026-05-18T00:10:13.528967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:13.528967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AMAY/YxQFAgZHgRJRMJXM2zUGyRJF0s+bhghuKfNxMR5gB/S1jInqTMYymksOk7ShU1qgRnnAHbQwkTRLlViBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:13.529504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08245","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4662cdcd15da590afaf9be198de8f81e3dca68cfcf1d078619f216f84c70c74d","sha256:61ea64b6f42c4edb594335d18665abb8f805a80b9192ee29938b7f5bc24cb389"],"state_sha256":"c5c7180fa2f7edaae3e97b5cfcb14983cafffaaef7abe590e2df55d83c704f0e"}