{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AFJA47NWX77QG53NHUG65E7BHQ","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":"05e4d491c05d6069a675ada336a8ca90163be884f6a6ed5dc6e0d95ec889f446","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-16T16:47:55Z","title_canon_sha256":"04062e6167d94b696e7746163dc8183a6fb6940b73e37845f078e8f884ea70b0"},"schema_version":"1.0","source":{"id":"1807.05967","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05967","created_at":"2026-05-17T23:51:33Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05967v2","created_at":"2026-05-17T23:51:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05967","created_at":"2026-05-17T23:51:33Z"},{"alias_kind":"pith_short_12","alias_value":"AFJA47NWX77Q","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AFJA47NWX77QG53N","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AFJA47NW","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:223b93b9eb6374ba83e89ccae755566f16e4106d43ce689b23803186dddb66d2","target":"graph","created_at":"2026-05-17T23:51:33Z","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 note we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and Tjurina numbers of an isolated plane curve singularity in the cases of one Puiseux pair and semi-quasi-homogeneous singularities.","authors_text":"Guillem Blanco, Patricio Almir\\'on","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-16T16:47:55Z","title":"A note on a question of Dimca and Greuel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05967","kind":"arxiv","version":2},"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:ea7181374967f119288ce4cd5e729e5694f9a5df1928b680efb5cac828de270d","target":"record","created_at":"2026-05-17T23:51:33Z","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":"05e4d491c05d6069a675ada336a8ca90163be884f6a6ed5dc6e0d95ec889f446","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-16T16:47:55Z","title_canon_sha256":"04062e6167d94b696e7746163dc8183a6fb6940b73e37845f078e8f884ea70b0"},"schema_version":"1.0","source":{"id":"1807.05967","kind":"arxiv","version":2}},"canonical_sha256":"01520e7db6bfff03776d3d0dee93e13c2e22a039709a7a2dc1dae67392e77b3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01520e7db6bfff03776d3d0dee93e13c2e22a039709a7a2dc1dae67392e77b3e","first_computed_at":"2026-05-17T23:51:33.639771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:33.639771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JnJEJryjEfYGcFmxFR1GO9pedjcnvrTDJ1k0l1nBnhkjsWd+GnRZlG9ZyEETFJNQzRBxUWsdMUF4eQB/QRmLCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:33.640450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05967","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea7181374967f119288ce4cd5e729e5694f9a5df1928b680efb5cac828de270d","sha256:223b93b9eb6374ba83e89ccae755566f16e4106d43ce689b23803186dddb66d2"],"state_sha256":"5b3f3f5d86ed029d0740a87ab6ea4ec285f8a225d197090b1cc44aa946f9d576"}