{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SOIXXK2S6GCJ7JWK4GP3EMFH2C","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":"20a431dbf75e6640d38e9c7d38297143ed886bb3a2815c01db5bd2509b80e3be","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2016-07-12T00:43:50Z","title_canon_sha256":"b7cca997f705ef0381b979c82c744d5537ea24e74dab5ba6b4c63cac3c865e02"},"schema_version":"1.0","source":{"id":"1607.03208","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.03208","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"arxiv_version","alias_value":"1607.03208v2","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03208","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"pith_short_12","alias_value":"SOIXXK2S6GCJ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SOIXXK2S6GCJ7JWK","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SOIXXK2S","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:3b5452251a1b70e267369779c11647d9ea97de75ec75302dafb87cc62818a52d","target":"graph","created_at":"2026-05-18T00:42:12Z","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 is proved that a metric space is sober, as an approach space, if and only if it is Smyth complete.","authors_text":"Dexue Zhang, Wei Li","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2016-07-12T00:43:50Z","title":"Sober metric approach spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03208","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":"sha256:40723f45ffd927c193f22c15b5e607e05dba8be5d73f5a2e62a134015bc62205","target":"record","created_at":"2026-05-18T00:42:12Z","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":"20a431dbf75e6640d38e9c7d38297143ed886bb3a2815c01db5bd2509b80e3be","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2016-07-12T00:43:50Z","title_canon_sha256":"b7cca997f705ef0381b979c82c744d5537ea24e74dab5ba6b4c63cac3c865e02"},"schema_version":"1.0","source":{"id":"1607.03208","kind":"arxiv","version":2}},"canonical_sha256":"93917bab52f1849fa6cae19fb230a7d087ef2e1a06309c352958ad1e9a4df1c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93917bab52f1849fa6cae19fb230a7d087ef2e1a06309c352958ad1e9a4df1c8","first_computed_at":"2026-05-18T00:42:12.969534Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:12.969534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S/zwFclCT4q8xng14IITZxBvCSDE48M7hydKFiThRnMSpuEEZfx2prgdwb4ze4TMhdUB/LVdY7R6/HcNTfIjAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:12.970009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.03208","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40723f45ffd927c193f22c15b5e607e05dba8be5d73f5a2e62a134015bc62205","sha256:3b5452251a1b70e267369779c11647d9ea97de75ec75302dafb87cc62818a52d"],"state_sha256":"b5d5b8519a76f741c89131f341d8f8417d86bcd49a2ac68ad122a87aa6fb7f80"}