{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CA4RCADPXKZHFSACNRHVL77OMF","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":"b9967e92e532d4b135cbff82f47c8e9868fe084a0802819829278cf7210bf3b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-08-30T16:13:04Z","title_canon_sha256":"1f29f69ae56132766dec9e5f160ec4a7e0a0b9850ea6861d224af5a2a03214a0"},"schema_version":"1.0","source":{"id":"1108.5996","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5996","created_at":"2026-05-18T04:06:07Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5996v3","created_at":"2026-05-18T04:06:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5996","created_at":"2026-05-18T04:06:07Z"},{"alias_kind":"pith_short_12","alias_value":"CA4RCADPXKZH","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CA4RCADPXKZHFSAC","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CA4RCADP","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:e491287321ec0cef851dc118d7e18f0e56f7353e764f6fd74339729723609261","target":"graph","created_at":"2026-05-18T04:06:07Z","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":"For the Kronecker algebra, Zwara found in [14] an example of a module whose orbit closure is neither unibranch nor Cohen-Macaulay. In this paper, we explain how to extend this example to all representation-infinite algebras with a preprojective component.","authors_text":"Calin Chindris","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-08-30T16:13:04Z","title":"On the geometry of orbit closures for representation-infinite algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5996","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":"sha256:08685856533c218dc4f03c070cd7aa1cf8bfb51a592e5772c5516eae93300428","target":"record","created_at":"2026-05-18T04:06:07Z","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":"b9967e92e532d4b135cbff82f47c8e9868fe084a0802819829278cf7210bf3b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-08-30T16:13:04Z","title_canon_sha256":"1f29f69ae56132766dec9e5f160ec4a7e0a0b9850ea6861d224af5a2a03214a0"},"schema_version":"1.0","source":{"id":"1108.5996","kind":"arxiv","version":3}},"canonical_sha256":"103911006fbab272c8026c4f55ffee6147b16c0fba66951e5ef83deddcd6dc6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"103911006fbab272c8026c4f55ffee6147b16c0fba66951e5ef83deddcd6dc6e","first_computed_at":"2026-05-18T04:06:07.662595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:07.662595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xCvzi73lkV8VILDnqPqZt0BZPDYSVzWqcwi+JYzYKOwfLnOefmC77gjONUL+CTUKa23+SNbyas6/KOSY+JZfDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:07.663106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5996","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08685856533c218dc4f03c070cd7aa1cf8bfb51a592e5772c5516eae93300428","sha256:e491287321ec0cef851dc118d7e18f0e56f7353e764f6fd74339729723609261"],"state_sha256":"b292117de7f6aecece68348309d644f9ed78865bb84766c47edef7fb1d68aee2"}