{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LMQN6DZKK3NKE6LR6FT7AQCE7W","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":"8cfd9bd4ce078abe76b635d604efe7eb932814ffd771d8e29b11ece6d0e2adcb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-04-03T00:52:31Z","title_canon_sha256":"a7339b9b68655a674045b7c8ecf395e5bca171c2cd7479388ca067e91ab74c9a"},"schema_version":"1.0","source":{"id":"1604.00578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00578","created_at":"2026-05-18T01:17:49Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00578v1","created_at":"2026-05-18T01:17:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00578","created_at":"2026-05-18T01:17:49Z"},{"alias_kind":"pith_short_12","alias_value":"LMQN6DZKK3NK","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LMQN6DZKK3NKE6LR","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LMQN6DZK","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:a79ef2df0a24b3a5bd26691b56d41d9521e57da40b3f0bdd971e1382086b3e81","target":"graph","created_at":"2026-05-18T01:17:49Z","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 a field of arbitrary characteristic and let Q be a quiver of finite representation type. In this paper we prove that if M is an indecomposable kQ-module then the universal deformation ring of M over kQ is isomorphic to k.","authors_text":"Daniel J. Wackwitz, Roberto C. Soto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-04-03T00:52:31Z","title":"Universal Deformation Rings and Quivers of Finite Representation Type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00578","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:baf13db39fa0df4f274ce6909ed9dc380ea4f8e1acede7a45f40163bd40048c9","target":"record","created_at":"2026-05-18T01:17:49Z","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":"8cfd9bd4ce078abe76b635d604efe7eb932814ffd771d8e29b11ece6d0e2adcb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-04-03T00:52:31Z","title_canon_sha256":"a7339b9b68655a674045b7c8ecf395e5bca171c2cd7479388ca067e91ab74c9a"},"schema_version":"1.0","source":{"id":"1604.00578","kind":"arxiv","version":1}},"canonical_sha256":"5b20df0f2a56daa27971f167f04044fda79671313693d17dc653bc85bf695390","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b20df0f2a56daa27971f167f04044fda79671313693d17dc653bc85bf695390","first_computed_at":"2026-05-18T01:17:49.067863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:49.067863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O7l0Hk7Ujml3/p14Pd7JTRi5IfUp3ZNsPEdim2JGhbZyh1aiwY/pDCYNLpWVOwucfrcRTNjG3h+ysGsbL4P8Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:49.068442Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.00578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:baf13db39fa0df4f274ce6909ed9dc380ea4f8e1acede7a45f40163bd40048c9","sha256:a79ef2df0a24b3a5bd26691b56d41d9521e57da40b3f0bdd971e1382086b3e81"],"state_sha256":"04d1886ca502575c63825c663c9f06a97e878082ed24572c7a52cc0bf98d75d0"}