{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:66WOI6B654XUKUWDX3MLXQAH3V","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":"8c3fd748bfe0025bf641f20552e603d7c8186fce734fcfc3cf80a1b8844a59b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-12-08T23:04:19Z","title_canon_sha256":"c980f54877101db837bf50e4caa72e3712ffa4ca81ee09c2060c0ce80c115983"},"schema_version":"1.0","source":{"id":"1012.1889","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.1889","created_at":"2026-05-18T04:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"1012.1889v1","created_at":"2026-05-18T04:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.1889","created_at":"2026-05-18T04:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"66WOI6B654XU","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"66WOI6B654XUKUWD","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"66WOI6B6","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:6e1863c8f156636878ca23c87f871532c1cbdf0c4b1d4d6c3ce976bb35902a14","target":"graph","created_at":"2026-05-18T04:33:49Z","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 show that any of a large class of schemes receives a universal homeomorphism from a reduced scheme that in turn receives no nontrivial universal homeomorphism from any other reduced scheme. This construction serves as a categorical input for the formal inversion of universal homeomorphisms; the result is an infinity-category that embeds as a full subcategory of the h infinity-topos of Voevodsky.","authors_text":"C. Barwick","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-12-08T23:04:19Z","title":"Topological rigidification of schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.1889","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":"sha256:50a2c48f36cefc47c20ee4bef0ab47c9ac8275038395782b1d75101754c7b301","target":"record","created_at":"2026-05-18T04:33:49Z","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":"8c3fd748bfe0025bf641f20552e603d7c8186fce734fcfc3cf80a1b8844a59b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-12-08T23:04:19Z","title_canon_sha256":"c980f54877101db837bf50e4caa72e3712ffa4ca81ee09c2060c0ce80c115983"},"schema_version":"1.0","source":{"id":"1012.1889","kind":"arxiv","version":1}},"canonical_sha256":"f7ace4783eef2f4552c3bed8bbc007dd5b9ed01642ce37b165f6227b8c018b8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7ace4783eef2f4552c3bed8bbc007dd5b9ed01642ce37b165f6227b8c018b8b","first_computed_at":"2026-05-18T04:33:49.398260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:49.398260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nPaHlKKy3GqeiSyzYWM3sNEhuHcivjtss1ACBKBvsPqkSUvL/D4hytJGALf45v8aK1iEJWyHJUUoTSegZTGGBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:49.398678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.1889","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50a2c48f36cefc47c20ee4bef0ab47c9ac8275038395782b1d75101754c7b301","sha256:6e1863c8f156636878ca23c87f871532c1cbdf0c4b1d4d6c3ce976bb35902a14"],"state_sha256":"93e161e5228378b78a28efc46d2f27bb42c5947f16400819a7a528a9de29f768"}