{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TDTAWMBW6Z5DBUI76YFSOUDZP3","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":"844f07b07f657ffc7d495285d19a8a4d07f9ae586ff74abc28fea67117c73d4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-02-09T08:06:57Z","title_canon_sha256":"b46e25b86bce7821e40aeb35cf3ff7d384d5a4d6903791df1ccd4ebaeae8e557"},"schema_version":"1.0","source":{"id":"1702.02739","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02739","created_at":"2026-05-18T00:51:02Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02739v1","created_at":"2026-05-18T00:51:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02739","created_at":"2026-05-18T00:51:02Z"},{"alias_kind":"pith_short_12","alias_value":"TDTAWMBW6Z5D","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TDTAWMBW6Z5DBUI7","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TDTAWMBW","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:baaa8f059539fa780d911cee922339bbc3bfe0f724a9905aa873e8a40bb7227f","target":"graph","created_at":"2026-05-18T00:51:02Z","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":"This note shows that the orbifold Jacobian algebra associated to each invertible polynomial defining an exceptional unimodal singularity is isomorphic to the (usual) Jacobian algebra of the Berglund-H\\\"{u}bsch transform of an invertible polynomial defining the strange dual singularity in the sense of Arnold.","authors_text":"Alexey Basalaev, Atsushi Takahashi, Elisabeth Werner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-02-09T08:06:57Z","title":"Orbifold Jacobian algebras for exceptional unimodal singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02739","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":"sha256:4cf0ef91e8dfc1f0e020beb82eb105badb5344f250fd2a822599454bdfb773f0","target":"record","created_at":"2026-05-18T00:51:02Z","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":"844f07b07f657ffc7d495285d19a8a4d07f9ae586ff74abc28fea67117c73d4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-02-09T08:06:57Z","title_canon_sha256":"b46e25b86bce7821e40aeb35cf3ff7d384d5a4d6903791df1ccd4ebaeae8e557"},"schema_version":"1.0","source":{"id":"1702.02739","kind":"arxiv","version":1}},"canonical_sha256":"98e60b3036f67a30d11ff60b2750797ee692a1fca69496fc9656045f812b58ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98e60b3036f67a30d11ff60b2750797ee692a1fca69496fc9656045f812b58ee","first_computed_at":"2026-05-18T00:51:02.593575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:02.593575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q2glvFA9kxEq3Fwd3ZfJkZZNpKNxqeZFYXasCy5lNz8vez+MrhLHxToZIiYB6Rapx64w404QUmhNPAqqjQWRAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:02.594000Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02739","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cf0ef91e8dfc1f0e020beb82eb105badb5344f250fd2a822599454bdfb773f0","sha256:baaa8f059539fa780d911cee922339bbc3bfe0f724a9905aa873e8a40bb7227f"],"state_sha256":"7bc6907eea6cad3a83ec9897e716818e79cb264a315846123efeb4d87707cb51"}