{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:LMVTOALE23NRHES5EOIEF4Y477","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":"9a7226d1b8b053fd9f5e9fd5ab87e7d6238d0413db89647395037f8a25f3f10e","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"math.AG","submitted_at":"2004-07-16T08:43:32Z","title_canon_sha256":"cb11183fad60bf6ae789a90e9fa41b31a19dc83c14dafc7395838b72042a88b6"},"schema_version":"1.0","source":{"id":"math/0407287","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0407287","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"arxiv_version","alias_value":"math/0407287v2","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0407287","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"pith_short_12","alias_value":"LMVTOALE23NR","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"LMVTOALE23NRHES5","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"LMVTOALE","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:4078432e114c761c8ae39cdad8b5a8ce5b06896243be605749df26249c56fb0f","target":"graph","created_at":"2026-05-18T02:38:00Z","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":"It has long been known that every quasi-homogeneous normal complex surface singularity with Q-homology sphere link has universal abelian cover a Brieskorn complete intersection singularity. We describe a broad generalization: First, one has a class of complete intersection normal complex surface singularities called \"splice type singularities\", which generalize Brieskorn complete intersections. Second, these arise as universal abelian covers of a class of normal surface singularities with Q-homology sphere links, called \"splice-quotient singularities\". According to the Main Theorem, splice-quo","authors_text":"Jonathan Wahl, Walter D Neumann","cross_cats":["math.GT"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2004-07-16T08:43:32Z","title":"Complete intersection singularities of splice type as universal abelian covers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0407287","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":"sha256:2f987378beb7722ca6885803117f36bca81949449c1c39714ad2f7c6a4e7921c","target":"record","created_at":"2026-05-18T02:38:00Z","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":"9a7226d1b8b053fd9f5e9fd5ab87e7d6238d0413db89647395037f8a25f3f10e","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"math.AG","submitted_at":"2004-07-16T08:43:32Z","title_canon_sha256":"cb11183fad60bf6ae789a90e9fa41b31a19dc83c14dafc7395838b72042a88b6"},"schema_version":"1.0","source":{"id":"math/0407287","kind":"arxiv","version":2}},"canonical_sha256":"5b2b370164d6db13925d239042f31cfff39c808f69df3913528b77491b9909ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b2b370164d6db13925d239042f31cfff39c808f69df3913528b77491b9909ae","first_computed_at":"2026-05-18T02:38:00.019811Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:00.019811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oscEgtZUUX+7Xd//1PB3Vhgc2dxHvVIdRqzzzIrjduOWil6Jvdiy2evmOGk02cfPzt/RHbACGjSwa+RNcjRdBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:00.020207Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0407287","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f987378beb7722ca6885803117f36bca81949449c1c39714ad2f7c6a4e7921c","sha256:4078432e114c761c8ae39cdad8b5a8ce5b06896243be605749df26249c56fb0f"],"state_sha256":"9d96fb970ca4a3a0d3fae0f276e3d755eb021fac75a9c7d94ccfe9a2eb7a6dfa"}