{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:IGX2LCDMFKJ5D3FIRTBMZXOYVO","short_pith_number":"pith:IGX2LCDM","schema_version":"1.0","canonical_sha256":"41afa5886c2a93d1eca88cc2ccddd8aba1a6467d36d32a120ab021454bc2d424","source":{"kind":"arxiv","id":"1207.3778","version":1},"attestation_state":"computed","paper":{"title":"On Jacobian algebras from closed surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.RA"],"primary_cat":"math.RT","authors_text":"Sefi Ladkani","submitted_at":"2012-07-16T19:41:20Z","abstract_excerpt":"We show that the quivers with potentials associated to ideal triangulations of marked surfaces with empty boundary are not rigid, and their completed Jacobian algebras are finite-dimensional and symmetric."},"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":"1207.3778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-07-16T19:41:20Z","cross_cats_sorted":["math.CO","math.RA"],"title_canon_sha256":"c2874881bfd9fdad6a5d78d0d170286ca0af1c4091648c0bd00693db5679a70c","abstract_canon_sha256":"45989eb5eaceda72dd015b6d93353b548fd6cec836587427b0d18a14ae766f22"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:59.511767Z","signature_b64":"tAhgG5UYaC5xcublSeHOk3wgSggAwCyxy/f6U10gVcSsiDaaISzwYSkHHeXbOZUhk651ygfGkV4n4Gld5eGyAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41afa5886c2a93d1eca88cc2ccddd8aba1a6467d36d32a120ab021454bc2d424","last_reissued_at":"2026-05-18T03:50:59.510894Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:59.510894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Jacobian algebras from closed surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.RA"],"primary_cat":"math.RT","authors_text":"Sefi Ladkani","submitted_at":"2012-07-16T19:41:20Z","abstract_excerpt":"We show that the quivers with potentials associated to ideal triangulations of marked surfaces with empty boundary are not rigid, and their completed Jacobian algebras are finite-dimensional and symmetric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.3778","kind":"arxiv","version":1},"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":"1207.3778","created_at":"2026-05-18T03:50:59.511035+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.3778v1","created_at":"2026-05-18T03:50:59.511035+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.3778","created_at":"2026-05-18T03:50:59.511035+00:00"},{"alias_kind":"pith_short_12","alias_value":"IGX2LCDMFKJ5","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"IGX2LCDMFKJ5D3FI","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"IGX2LCDM","created_at":"2026-05-18T12:27:09.501522+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.08895","citing_title":"Calabi-Yau properties of ribbon graph orders","ref_index":1998,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IGX2LCDMFKJ5D3FIRTBMZXOYVO","json":"https://pith.science/pith/IGX2LCDMFKJ5D3FIRTBMZXOYVO.json","graph_json":"https://pith.science/api/pith-number/IGX2LCDMFKJ5D3FIRTBMZXOYVO/graph.json","events_json":"https://pith.science/api/pith-number/IGX2LCDMFKJ5D3FIRTBMZXOYVO/events.json","paper":"https://pith.science/paper/IGX2LCDM"},"agent_actions":{"view_html":"https://pith.science/pith/IGX2LCDMFKJ5D3FIRTBMZXOYVO","download_json":"https://pith.science/pith/IGX2LCDMFKJ5D3FIRTBMZXOYVO.json","view_paper":"https://pith.science/paper/IGX2LCDM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.3778&json=true","fetch_graph":"https://pith.science/api/pith-number/IGX2LCDMFKJ5D3FIRTBMZXOYVO/graph.json","fetch_events":"https://pith.science/api/pith-number/IGX2LCDMFKJ5D3FIRTBMZXOYVO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IGX2LCDMFKJ5D3FIRTBMZXOYVO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IGX2LCDMFKJ5D3FIRTBMZXOYVO/action/storage_attestation","attest_author":"https://pith.science/pith/IGX2LCDMFKJ5D3FIRTBMZXOYVO/action/author_attestation","sign_citation":"https://pith.science/pith/IGX2LCDMFKJ5D3FIRTBMZXOYVO/action/citation_signature","submit_replication":"https://pith.science/pith/IGX2LCDMFKJ5D3FIRTBMZXOYVO/action/replication_record"}},"created_at":"2026-05-18T03:50:59.511035+00:00","updated_at":"2026-05-18T03:50:59.511035+00:00"}