{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FLE77KQV3HIIDNLO35VYU6HL7L","short_pith_number":"pith:FLE77KQV","schema_version":"1.0","canonical_sha256":"2ac9ffaa15d9d081b56edf6b8a78ebfaf4fc9b0f3dfa41e1ea5b7489ef654c33","source":{"kind":"arxiv","id":"1603.03587","version":2},"attestation_state":"computed","paper":{"title":"Almost gentle algebras and their trivial extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Edward L. Green, Sibylle Schroll","submitted_at":"2016-03-11T10:42:28Z","abstract_excerpt":"In this paper we define almost gentle algebras. They are monomial special multiserial algebras generalizing gentle algebras. We show that the trivial extension of an almost gentle algebra by its minimal injective co-generator is a symmetric special multiserial algebra and hence a Brauer configuration algebra. Conversely, we show that any almost gentle algebra is an admissible cut of a unique Brauer configuration algebra and as a consequence, we obtain that every Brauer configuration algebra with multiplicity function identically one, is the trivial extension of an almost gentle algebra. We sho"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1603.03587","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-03-11T10:42:28Z","cross_cats_sorted":[],"title_canon_sha256":"7c4c9f7095e99e52cc6a2b649dccadffc652432eafc1e37648de72e9508e23be","abstract_canon_sha256":"b9e8f8c5a96ce6059d4815aeefaf0ff9e3b30d16d2634f9c31e7b89dee6d96f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:06.542834Z","signature_b64":"99eWGAAqkgDh22QWZ7h+cFdm3StTbPBK3YdfTQl8+PqAAgoWSNUX3KnGUccOvR9EChW67O90Ydgz0E1s0BGZCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ac9ffaa15d9d081b56edf6b8a78ebfaf4fc9b0f3dfa41e1ea5b7489ef654c33","last_reissued_at":"2026-05-17T23:49:06.542167Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:06.542167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Almost gentle algebras and their trivial extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Edward L. Green, Sibylle Schroll","submitted_at":"2016-03-11T10:42:28Z","abstract_excerpt":"In this paper we define almost gentle algebras. They are monomial special multiserial algebras generalizing gentle algebras. We show that the trivial extension of an almost gentle algebra by its minimal injective co-generator is a symmetric special multiserial algebra and hence a Brauer configuration algebra. Conversely, we show that any almost gentle algebra is an admissible cut of a unique Brauer configuration algebra and as a consequence, we obtain that every Brauer configuration algebra with multiplicity function identically one, is the trivial extension of an almost gentle algebra. We sho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03587","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1603.03587","created_at":"2026-05-17T23:49:06.542274+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.03587v2","created_at":"2026-05-17T23:49:06.542274+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03587","created_at":"2026-05-17T23:49:06.542274+00:00"},{"alias_kind":"pith_short_12","alias_value":"FLE77KQV3HII","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FLE77KQV3HIIDNLO","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FLE77KQV","created_at":"2026-05-18T12:30:15.759754+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FLE77KQV3HIIDNLO35VYU6HL7L","json":"https://pith.science/pith/FLE77KQV3HIIDNLO35VYU6HL7L.json","graph_json":"https://pith.science/api/pith-number/FLE77KQV3HIIDNLO35VYU6HL7L/graph.json","events_json":"https://pith.science/api/pith-number/FLE77KQV3HIIDNLO35VYU6HL7L/events.json","paper":"https://pith.science/paper/FLE77KQV"},"agent_actions":{"view_html":"https://pith.science/pith/FLE77KQV3HIIDNLO35VYU6HL7L","download_json":"https://pith.science/pith/FLE77KQV3HIIDNLO35VYU6HL7L.json","view_paper":"https://pith.science/paper/FLE77KQV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.03587&json=true","fetch_graph":"https://pith.science/api/pith-number/FLE77KQV3HIIDNLO35VYU6HL7L/graph.json","fetch_events":"https://pith.science/api/pith-number/FLE77KQV3HIIDNLO35VYU6HL7L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FLE77KQV3HIIDNLO35VYU6HL7L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FLE77KQV3HIIDNLO35VYU6HL7L/action/storage_attestation","attest_author":"https://pith.science/pith/FLE77KQV3HIIDNLO35VYU6HL7L/action/author_attestation","sign_citation":"https://pith.science/pith/FLE77KQV3HIIDNLO35VYU6HL7L/action/citation_signature","submit_replication":"https://pith.science/pith/FLE77KQV3HIIDNLO35VYU6HL7L/action/replication_record"}},"created_at":"2026-05-17T23:49:06.542274+00:00","updated_at":"2026-05-17T23:49:06.542274+00:00"}