{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:7SXKYNILGM7PPHKTZSRSNRNUHM","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":"52b2ec68d79ee1bb05bb26943d057cc18194bb2e7890e6d85d252ba1911e137c","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2002-03-09T14:17:33Z","title_canon_sha256":"2ece16f2f35ac19244a28b88af2fa7288141d8f26a2f6fd8b49e0cba269e5918"},"schema_version":"1.0","source":{"id":"math/0203087","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0203087","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"arxiv_version","alias_value":"math/0203087v2","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0203087","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"pith_short_12","alias_value":"7SXKYNILGM7P","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"7SXKYNILGM7PPHKT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"7SXKYNIL","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:fa45c4484aae6886f102dc6e11511060bc8629aa67dc902fd0a4f96dbb77efb4","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":"We prove the long-standing Montesinos conjecture that any closed oriented PL 4-manifold M is a simple covering of S^4 branched over a locally flat surface (cf [J M Montesinos, 4-manifolds, 3-fold covering spaces and ribbons, Trans. Amer. Math. Soc. 245 (1978) 453--467]). In fact, we show how to eliminate all the node singularities of the branching set of any simple 4-fold branched covering M \\to S^4 arising from the representation theorem given in [R Piergallini, Four-manifolds as 4-fold branched covers of S^4, Topology 34 (1995) 497--508]. Namely, we construct a suitable cobordism between the","authors_text":"Massimiliano Iori, Riccardo Piergallini","cross_cats":[],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2002-03-09T14:17:33Z","title":"4-manifolds as covers of the 4-sphere branched over non-singular surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0203087","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:ebb255ef311bb97c397e482e9232244ad6f5f5a04c096856d362cfd57a370987","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":"52b2ec68d79ee1bb05bb26943d057cc18194bb2e7890e6d85d252ba1911e137c","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2002-03-09T14:17:33Z","title_canon_sha256":"2ece16f2f35ac19244a28b88af2fa7288141d8f26a2f6fd8b49e0cba269e5918"},"schema_version":"1.0","source":{"id":"math/0203087","kind":"arxiv","version":2}},"canonical_sha256":"fcaeac350b333ef79d53cca326c5b43b0c01c4abf92fd893f3ca2e337649fc8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcaeac350b333ef79d53cca326c5b43b0c01c4abf92fd893f3ca2e337649fc8d","first_computed_at":"2026-05-18T02:38:00.691431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:00.691431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PjZHwbEFesSNcmV8NeLbZ0/YfAUe0XR6k444vrBloMSagep2FuYfYAPYkDjMWpG1USZl2a7d9c5pfJ6wMePOCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:00.691912Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0203087","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebb255ef311bb97c397e482e9232244ad6f5f5a04c096856d362cfd57a370987","sha256:fa45c4484aae6886f102dc6e11511060bc8629aa67dc902fd0a4f96dbb77efb4"],"state_sha256":"be3d3b2cb38137afa93301da62d5a0b8a14de946e739da9185b47e46d1aa9038"}