{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZWHRLUB3CTO5J646CVJ2WEXFMC","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":"7e4e71550366affa0ea611df8e602da1bc8faebc596e61604be7e8d26864d4cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-05-12T10:39:41Z","title_canon_sha256":"0742b2a67641d8f38e0bbf9d9d4341ec49a4f454dc1b9e7bef867239712c949f"},"schema_version":"1.0","source":{"id":"1305.2576","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2576","created_at":"2026-05-18T03:25:57Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2576v1","created_at":"2026-05-18T03:25:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2576","created_at":"2026-05-18T03:25:57Z"},{"alias_kind":"pith_short_12","alias_value":"ZWHRLUB3CTO5","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZWHRLUB3CTO5J646","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZWHRLUB3","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:7e06dd940466193bf448b67a8855024954f3f2c69e95268e4c32d6d78752b4dd","target":"graph","created_at":"2026-05-18T03:25:57Z","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":"Simple-minded systems of objects in a stable module category are defined by common properties with the set of simple modules, whose images under stable equivalences do form simple-minded systems. Over a representation-finite self-injective algebra, it is shown that all simple-minded systems are images of simple modules under stable equivalences of Morita type, and that all simple-minded systems can be lifted to Nakayama-stable simple-minded collections in the derived category. In particular, all simple-minded systems can be obtained algorithmically using mutations.","authors_text":"Aaron Chan, Steffen Koenig, Yuming Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-05-12T10:39:41Z","title":"Simple-minded systems, configurations and mutations for representation-finite self-injective algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2576","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":"sha256:36efdce6dd761a41cdb6c9312dde1c91ca43d74c0b3ea855bf4a36ef94f56fce","target":"record","created_at":"2026-05-18T03:25:57Z","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":"7e4e71550366affa0ea611df8e602da1bc8faebc596e61604be7e8d26864d4cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-05-12T10:39:41Z","title_canon_sha256":"0742b2a67641d8f38e0bbf9d9d4341ec49a4f454dc1b9e7bef867239712c949f"},"schema_version":"1.0","source":{"id":"1305.2576","kind":"arxiv","version":1}},"canonical_sha256":"cd8f15d03b14ddd4fb9e1553ab12e5609a63c54406671d1dafc5b017b89329a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd8f15d03b14ddd4fb9e1553ab12e5609a63c54406671d1dafc5b017b89329a9","first_computed_at":"2026-05-18T03:25:57.475794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:57.475794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ne2rE/NSwzSn2nItYXvA+ePzLcRVrCYfKwKmzg2bnfhdM0RQPkp32nTi3HCJKkZ4/X2Wh5VP9mX0uoEoYl8VBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:57.476585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2576","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36efdce6dd761a41cdb6c9312dde1c91ca43d74c0b3ea855bf4a36ef94f56fce","sha256:7e06dd940466193bf448b67a8855024954f3f2c69e95268e4c32d6d78752b4dd"],"state_sha256":"e9485590a4f8a490263ddaca188893ce58cc0f02cd535b8fd6ab80a2c66affca"}