{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VGLGLFM5UDWGMZJBZWA3MINZDE","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":"944d3711ba837c9d9dee3ab695a5bad2fc42f97861898eee1dd2157cc6503eaa","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-07-08T23:26:07Z","title_canon_sha256":"91a5433fc2e842a52e64bd3678a4c187bce62abec40d95c54077fdde84f706bd"},"schema_version":"1.0","source":{"id":"1407.2296","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2296","created_at":"2026-05-18T02:48:02Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2296v1","created_at":"2026-05-18T02:48:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2296","created_at":"2026-05-18T02:48:02Z"},{"alias_kind":"pith_short_12","alias_value":"VGLGLFM5UDWG","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VGLGLFM5UDWGMZJB","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VGLGLFM5","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:b1aa98f2ecfd29969bc37910d6f9004f325191733797a093f335633b868b138d","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":"Let $\\Lambda$ be a finite dimensional algebra over an algebraically closed field, and ${\\Bbb S}$ a finite sequence of simple left $\\Lambda$-modules. In [6, 9], quasiprojective algebraic varieties with accessible affine open covers were introduced, for use in classifying the uniserial representations of $\\Lambda$ having sequence ${\\Bbb S}$ of consecutive composition factors. Our principal objectives here are threefold: One is to prove these varieties to be `good approximations' -- in a sense to be made precise -- to geometric quotients of the classical varieties $\\operatorname{Mod-Uni}({\\Bbb S}","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":"2014-07-08T23:26:07Z","title":"Varieties of uniserial representations IV. Kinship to geometric quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2296","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":"sha256:4c473eda21058fe6afe570bfe77167e6f0205fac6653a9f927373a81fd556766","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":"944d3711ba837c9d9dee3ab695a5bad2fc42f97861898eee1dd2157cc6503eaa","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-07-08T23:26:07Z","title_canon_sha256":"91a5433fc2e842a52e64bd3678a4c187bce62abec40d95c54077fdde84f706bd"},"schema_version":"1.0","source":{"id":"1407.2296","kind":"arxiv","version":1}},"canonical_sha256":"a99665959da0ec666521cd81b621b9191ce8b9e12919702370b52cbc718d2885","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a99665959da0ec666521cd81b621b9191ce8b9e12919702370b52cbc718d2885","first_computed_at":"2026-05-18T02:48:02.636367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:02.636367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5EpXcK7TxpLtaQvfX3rpSOW9+aGnfHEtIOeXsi+XZCE1SGEDT0CICwxfppP0TmlRAYwBFUxl1JhpycRh21AMCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:02.636876Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.2296","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c473eda21058fe6afe570bfe77167e6f0205fac6653a9f927373a81fd556766","sha256:b1aa98f2ecfd29969bc37910d6f9004f325191733797a093f335633b868b138d"],"state_sha256":"575d7608e75798e55579f3d0e917e8d24400c330b03910c37a46b7a87158c843"}