{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SS42CPP3DLQLFD36FDMGCEB54F","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":"72538d59e9cb0e2dc9aeb7734e0ac8c6a8c852c309228964bccdbb08579c87fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-14T14:43:10Z","title_canon_sha256":"df497e273b2480e3d169c03a8dbde653fb428bd2ee016fd0a88ae2b803d4c228"},"schema_version":"1.0","source":{"id":"1806.05586","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.05586","created_at":"2026-05-18T00:13:14Z"},{"alias_kind":"arxiv_version","alias_value":"1806.05586v1","created_at":"2026-05-18T00:13:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.05586","created_at":"2026-05-18T00:13:14Z"},{"alias_kind":"pith_short_12","alias_value":"SS42CPP3DLQL","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SS42CPP3DLQLFD36","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SS42CPP3","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:55966909857d5e0e31158bb64c3b1babba003e8699e2311887015bfa37af4a5b","target":"graph","created_at":"2026-05-18T00:13:14Z","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":"In this survey paper we give an overview of a generalization, introduced by R. Bautista and the author, of the theory of mutation of quivers with potential developed in 2007 by Derksen-Weyman-Zelevinsky. This new construction allows us to consider finite dimensional semisimple $F$-algebras, where $F$ is any field. We give a brief account of the results concerning this generalization and its main consequences.","authors_text":"Daniel L\\'opez-Aguayo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-14T14:43:10Z","title":"Cyclic derivations, species realizations and potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.05586","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":"sha256:5d6e87c648128e0402ba33a0c0411f9a256d5a4c7a34bc6bc49f98b9597ad30a","target":"record","created_at":"2026-05-18T00:13:14Z","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":"72538d59e9cb0e2dc9aeb7734e0ac8c6a8c852c309228964bccdbb08579c87fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-14T14:43:10Z","title_canon_sha256":"df497e273b2480e3d169c03a8dbde653fb428bd2ee016fd0a88ae2b803d4c228"},"schema_version":"1.0","source":{"id":"1806.05586","kind":"arxiv","version":1}},"canonical_sha256":"94b9a13dfb1ae0b28f7e28d861103de17d399036d837912de40acb9840c23c68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94b9a13dfb1ae0b28f7e28d861103de17d399036d837912de40acb9840c23c68","first_computed_at":"2026-05-18T00:13:14.661643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:14.661643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h41n+KKIxDD42iNmAQg9A15CKCz7DxAxolLlcSijboC0QGuPi4QPqf7lwfz3rhMCWZRmWzr1Bzq17/hAfrqJDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:14.662424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.05586","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d6e87c648128e0402ba33a0c0411f9a256d5a4c7a34bc6bc49f98b9597ad30a","sha256:55966909857d5e0e31158bb64c3b1babba003e8699e2311887015bfa37af4a5b"],"state_sha256":"d006263cb8dd1942c8eca846a10e360335bedc5d1af0f11fe30f8a2bf9fbc800"}