{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IBC3QMHSCDQN5MXZG5A33PWUUE","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":"3ef7945974f41cd2d78612dbaaf4fa846262a3b09ba2326493408b03f6c147ed","cross_cats_sorted":["math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-11T15:33:07Z","title_canon_sha256":"0167e0752d08bfbe94c7c47d543266e774ea2b78d38f28408a47173a382d4259"},"schema_version":"1.0","source":{"id":"1111.2777","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2777","created_at":"2026-05-18T04:08:25Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2777v1","created_at":"2026-05-18T04:08:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2777","created_at":"2026-05-18T04:08:25Z"},{"alias_kind":"pith_short_12","alias_value":"IBC3QMHSCDQN","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IBC3QMHSCDQN5MXZ","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IBC3QMHS","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:d1e2c916c29c3109538cd5ee89451a1e900e25c8149425c7d1e8b175864a7406","target":"graph","created_at":"2026-05-18T04:08:25Z","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":"Let $k$ be an algebraically closed field and let $A$ be a finitely generated $k-$algebra. We show that the scheme of n-dimensional representations of $A$ is smooth when $A$ is hereditary and coherent. We deduce from this the smoothness of the Nori-Hilbert scheme associated to $A.$","authors_text":"Federica Galluzzi, Francesco Vaccarino","cross_cats":["math.RA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-11T15:33:07Z","title":"On the smoothness of the scheme of linear representations and the Nori-Hilbert scheme of an associative algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2777","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":"sha256:574c765840b0d6a70f86b567a4669956395b869fc35ee7f8a90128ddd9cf8120","target":"record","created_at":"2026-05-18T04:08:25Z","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":"3ef7945974f41cd2d78612dbaaf4fa846262a3b09ba2326493408b03f6c147ed","cross_cats_sorted":["math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-11T15:33:07Z","title_canon_sha256":"0167e0752d08bfbe94c7c47d543266e774ea2b78d38f28408a47173a382d4259"},"schema_version":"1.0","source":{"id":"1111.2777","kind":"arxiv","version":1}},"canonical_sha256":"4045b830f210e0deb2f93741bdbed4a10cd0bbe5f77b980d7ecbadeb3e5e54ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4045b830f210e0deb2f93741bdbed4a10cd0bbe5f77b980d7ecbadeb3e5e54ba","first_computed_at":"2026-05-18T04:08:25.107899Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:25.107899Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w05KzJmLhhrkROVZ4EEnJzeiOhA3KVz9FoFrY024MhskyDFCzsE/1JIQUohrrneEfV4+6efmq574Thdxlb20Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:25.108619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.2777","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:574c765840b0d6a70f86b567a4669956395b869fc35ee7f8a90128ddd9cf8120","sha256:d1e2c916c29c3109538cd5ee89451a1e900e25c8149425c7d1e8b175864a7406"],"state_sha256":"b56f386655f9b2d008bcbbbdea4ad234ddb615450070ecb6c5e48358d0ca7043"}