{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VCCBCT2WT6TO5RHRMPN2GHQTV5","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":"8fd077712153c9383db0c9d5adbaa19fd01f721f4f3b6cac16ecff0d4cc327c7","cross_cats_sorted":["math.GN","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-23T11:20:22Z","title_canon_sha256":"88416bd0bd994a8b92b576cc491f8f5602517a344c446551fe12b24c477db3d4"},"schema_version":"1.0","source":{"id":"1803.08744","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08744","created_at":"2026-05-18T00:20:18Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08744v1","created_at":"2026-05-18T00:20:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08744","created_at":"2026-05-18T00:20:18Z"},{"alias_kind":"pith_short_12","alias_value":"VCCBCT2WT6TO","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VCCBCT2WT6TO5RHR","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VCCBCT2W","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:abaa678421c648c0442e91c0cfb8a89502454e45901aadd0e74d98a71bbd1556","target":"graph","created_at":"2026-05-18T00:20:18Z","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 continuous open surjection from a complete metric space to another metric space can be restricted to a surjection for which the domain has the same density character as the target. This improves a recent result of Aron, Jaramillo and Le Donne.","authors_text":"Enrico Le Donne, Jesus A. Jaramillo, Tapio Rajala","cross_cats":["math.GN","math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-23T11:20:22Z","title":"Restricting open surjections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08744","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":"sha256:50d110a0a0aa4e1b3e7f60f2cab77358975aa54cdd33a4f83b2c0f9d8eec0e1e","target":"record","created_at":"2026-05-18T00:20:18Z","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":"8fd077712153c9383db0c9d5adbaa19fd01f721f4f3b6cac16ecff0d4cc327c7","cross_cats_sorted":["math.GN","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-23T11:20:22Z","title_canon_sha256":"88416bd0bd994a8b92b576cc491f8f5602517a344c446551fe12b24c477db3d4"},"schema_version":"1.0","source":{"id":"1803.08744","kind":"arxiv","version":1}},"canonical_sha256":"a884114f569fa6eec4f163dba31e13af51dfe75918148e9f68bd40a07ff5fadb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a884114f569fa6eec4f163dba31e13af51dfe75918148e9f68bd40a07ff5fadb","first_computed_at":"2026-05-18T00:20:18.658790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:18.658790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xc4XMm9KbY5Zcjz2yilgh5lO+sPmY4VcuLKZv5ksUpisi07RjYTTEEETPAz/g4sJSmHAxVoCn85U/LlCLIuSBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:18.659430Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08744","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50d110a0a0aa4e1b3e7f60f2cab77358975aa54cdd33a4f83b2c0f9d8eec0e1e","sha256:abaa678421c648c0442e91c0cfb8a89502454e45901aadd0e74d98a71bbd1556"],"state_sha256":"251d9aa8d4b18a958707795d1cccb5c91b9ce20354d90b821685664509be2b45"}