{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FEWK7OPI36IHXGLBCL6CC7W5WQ","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":"814070895e074a748bd7e2c2ec818bf8557c8d9bc939f1a96c14702d9dce3f36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-29T08:32:03Z","title_canon_sha256":"b0b9575bdb33586bd2cfb61ca5f7354a4c8bbf801e17ccc648c3833be0418548"},"schema_version":"1.0","source":{"id":"1405.7494","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7494","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7494v3","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7494","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"pith_short_12","alias_value":"FEWK7OPI36IH","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FEWK7OPI36IHXGLB","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FEWK7OPI","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:f2a45517d59faf666380ca05d71a671fe4c856064bde135c8fa9da2091be619b","target":"graph","created_at":"2026-05-18T00:44:10Z","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":"The Milnor number, \\mu(X,0), and the singularity genus, p_g(X,0), are fundamental invariants of isolated hypersurface singularities (more generally, of local complete intersections). The long standing Durfee conjecture (and its generalization) predicted the inequality \\mu(X,0) \\geq (n+1)!p_g(X,0), here n=dim(X,0). Recently we have constructed counterexamples, proposed a corrected bound and verified it for the homogeneous complete intersections.\n  In the current paper we treat the case of germs with Newton-non-degenerate principal part when the Newton diagrams are \"large enough\", i.e. they are ","authors_text":"Andr\\'as N\\'emethi, Dmitry Kerner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-29T08:32:03Z","title":"Durfee-type bound for some non-degenerate complete intersection singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7494","kind":"arxiv","version":3},"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":"sha256:410344b4fe591f3e2fce98d58d712bed7f6d44a75af4195007cdee5afbb3f912","target":"record","created_at":"2026-05-18T00:44:10Z","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":"814070895e074a748bd7e2c2ec818bf8557c8d9bc939f1a96c14702d9dce3f36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-29T08:32:03Z","title_canon_sha256":"b0b9575bdb33586bd2cfb61ca5f7354a4c8bbf801e17ccc648c3833be0418548"},"schema_version":"1.0","source":{"id":"1405.7494","kind":"arxiv","version":3}},"canonical_sha256":"292cafb9e8df907b996112fc217eddb43dc46385b8e996cd903d5a1b3c9e6179","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"292cafb9e8df907b996112fc217eddb43dc46385b8e996cd903d5a1b3c9e6179","first_computed_at":"2026-05-18T00:44:10.264133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:10.264133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gwYeIQrTTSs3eOeBqzy/UQkfJH0XkMYw+sQ+BGRkbs4k1Kh/atTmxTKvnHZxORh9dWZL7MEA3EBRZdlKXuesCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:10.264761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.7494","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:410344b4fe591f3e2fce98d58d712bed7f6d44a75af4195007cdee5afbb3f912","sha256:f2a45517d59faf666380ca05d71a671fe4c856064bde135c8fa9da2091be619b"],"state_sha256":"107acabb35615bc0efd2273085193278895cd0d29bbec82e326e5be60f5e5cad"}