{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TIRK5MGB5WW42SOVUXP27MH5ZO","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":"7932db248a395ab1978cd7b7c6110aac76b37548464781e4acd8f65991e37fd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-29T08:42:32Z","title_canon_sha256":"33bc453f0bf28efb86cb1460dca0fbad33bb5dfc9359beb130cfe001a3640cdf"},"schema_version":"1.0","source":{"id":"1103.5567","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5567","created_at":"2026-05-18T04:25:37Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5567v1","created_at":"2026-05-18T04:25:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5567","created_at":"2026-05-18T04:25:37Z"},{"alias_kind":"pith_short_12","alias_value":"TIRK5MGB5WW4","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TIRK5MGB5WW42SOV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TIRK5MGB","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:e613df06b5c4613b5d65f872b5068fdee7d2c075e6c464c014de89e1a751f1cc","target":"graph","created_at":"2026-05-18T04:25:37Z","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":"Differential completions and compactifications of differential spaces are introduced and investigated. The existence of the maximal differential completion and the maximal differential compactification is proved. A sufficient condition for the existence of a complete uniform differential structure on a given differential space is given.","authors_text":"Diana Dziewa-Dawidczyk, Zbigniew Pasternak-Winiarski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-29T08:42:32Z","title":"On differential completions and compactifications of a differential space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5567","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:d4900773778ce2f284862f901fbc93db9a377b8341593f687740fd0e0d1828e9","target":"record","created_at":"2026-05-18T04:25:37Z","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":"7932db248a395ab1978cd7b7c6110aac76b37548464781e4acd8f65991e37fd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-29T08:42:32Z","title_canon_sha256":"33bc453f0bf28efb86cb1460dca0fbad33bb5dfc9359beb130cfe001a3640cdf"},"schema_version":"1.0","source":{"id":"1103.5567","kind":"arxiv","version":1}},"canonical_sha256":"9a22aeb0c1edadcd49d5a5dfafb0fdcb835696cbb6d28707a0bf584ad7555e40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a22aeb0c1edadcd49d5a5dfafb0fdcb835696cbb6d28707a0bf584ad7555e40","first_computed_at":"2026-05-18T04:25:37.314640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:37.314640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XReNnBW1/iGYk4RVoBmt5oIbHwp7xxmgEbjwbKmTDu+IvQxXfmZIfWD6ha7zVQ6utZpaKHuXbmp5Rmyf61r7Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:37.315375Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5567","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4900773778ce2f284862f901fbc93db9a377b8341593f687740fd0e0d1828e9","sha256:e613df06b5c4613b5d65f872b5068fdee7d2c075e6c464c014de89e1a751f1cc"],"state_sha256":"3c76237b9390a5041ebee21fecce4d9d845779879ba5654c1cc8ad42e88b2b16"}