{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TQMZAAWX6EJVLTUI5SFIKNXS3F","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":"4f07c1f1daaab0cf4e471de355b1f8b13721fa8f8d4e5fddff06630fe7603d40","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-07-08T23:08:09Z","title_canon_sha256":"e56045409d9d39c3700e8cab7cfac64e7951c93db1d7a1aea35a5e6206628f65"},"schema_version":"1.0","source":{"id":"1407.2293","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2293","created_at":"2026-05-18T02:48:02Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2293v1","created_at":"2026-05-18T02:48:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2293","created_at":"2026-05-18T02:48:02Z"},{"alias_kind":"pith_short_12","alias_value":"TQMZAAWX6EJV","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TQMZAAWX6EJVLTUI","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TQMZAAWX","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:ddf62d242be1dca0591df344f2be918b3c1dc505fd75dd1ae6d4be7eefbac088","target":"graph","created_at":"2026-05-18T02:48:02Z","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 provide two alternate settings for a family of varieties modeling the uniserial representations with fixed sequence of composition factors over a finite dimensional algebra. The first is a quasi-projective subvariety of a Grassmannian containing the members of the mentioned family as a principal affine open cover; among other benefits, one derives invariance from this intrinsic description. The second viewpoint re-interprets the `uniserial varieties' as locally closed subvarieties of the traditional module varieties; in particular, it exhibits closedness of the fibres of the canonical maps ","authors_text":"Birge Huisgen-Zimmermann, Klaus Bongartz","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-07-08T23:08:09Z","title":"The geometry of uniserial representations of algebras II. Alternate viewpoints and uniqueness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2293","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:f2d3b1af5cd83e03dddce335875ed43d509e67dbed8218b59e1f359bef3606c2","target":"record","created_at":"2026-05-18T02:48:02Z","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":"4f07c1f1daaab0cf4e471de355b1f8b13721fa8f8d4e5fddff06630fe7603d40","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-07-08T23:08:09Z","title_canon_sha256":"e56045409d9d39c3700e8cab7cfac64e7951c93db1d7a1aea35a5e6206628f65"},"schema_version":"1.0","source":{"id":"1407.2293","kind":"arxiv","version":1}},"canonical_sha256":"9c199002d7f11355ce88ec8a8536f2d94b0ebe5ab782b049af3c4d5638710390","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c199002d7f11355ce88ec8a8536f2d94b0ebe5ab782b049af3c4d5638710390","first_computed_at":"2026-05-18T02:48:02.643166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:02.643166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kk+RAT7ha9mAdcepXW/MXAClHvlURd28EEo+jo35iIqrtZomht50c+avxan6Oa1rgigb+qN7h2EeumsNAAErBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:02.643668Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.2293","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2d3b1af5cd83e03dddce335875ed43d509e67dbed8218b59e1f359bef3606c2","sha256:ddf62d242be1dca0591df344f2be918b3c1dc505fd75dd1ae6d4be7eefbac088"],"state_sha256":"510294da9dd80821b88e60b24bc30dce383ec904299f17f342551f4c2ff1e481"}