{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:ZWVE6RWNCPWDDLHOGWMYR5YPJC","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":"66254af055dc1bff8e2eec14f9296aed2fdc8c3a6c083f7eab18de3ef3a3561d","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"1997-06-21T00:00:00Z","title_canon_sha256":"fc90a4701eebaac4ca134206aa11e6fa71a1a7793253b63b2b379b09ea55edba"},"schema_version":"1.0","source":{"id":"math/9706227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9706227","created_at":"2026-05-18T01:05:35Z"},{"alias_kind":"arxiv_version","alias_value":"math/9706227v1","created_at":"2026-05-18T01:05:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9706227","created_at":"2026-05-18T01:05:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZWVE6RWNCPWD","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZWVE6RWNCPWDDLHO","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZWVE6RWN","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:5e54f200dca04a270f267ff84d18b72ac07ee725f84bc85b7e32ea3e773105e8","target":"graph","created_at":"2026-05-18T01:05:35Z","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":"Let K be an algebraically closed field of characteristic zero, endowed with a complete nonarchimedean norm. Let X be a K-rigid analytic variety and \\Sigma a semianalytic subset of X. Then the closure of \\Sigma in X with respect to the canonical topology is again semianalytic. The proof uses Embedded Resolution of Singularities.","authors_text":"Hans Schoutens (Mathematical Institute, Oxford University)","cross_cats":[],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"1997-06-21T00:00:00Z","title":"Closure of rigid semianalytic sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9706227","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":"sha256:41a2975d713488cf9fcc6a6a14a83de41c6d0d28fba5707c53169e958d778d41","target":"record","created_at":"2026-05-18T01:05:35Z","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":"66254af055dc1bff8e2eec14f9296aed2fdc8c3a6c083f7eab18de3ef3a3561d","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"1997-06-21T00:00:00Z","title_canon_sha256":"fc90a4701eebaac4ca134206aa11e6fa71a1a7793253b63b2b379b09ea55edba"},"schema_version":"1.0","source":{"id":"math/9706227","kind":"arxiv","version":1}},"canonical_sha256":"cdaa4f46cd13ec31acee359988f70f48b04c7e7bd618d4e549c1d20c5e303f86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdaa4f46cd13ec31acee359988f70f48b04c7e7bd618d4e549c1d20c5e303f86","first_computed_at":"2026-05-18T01:05:35.109235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:35.109235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k2tv++973kijHX8NNiD0+C3svcNBFJwfvCU32W0rA2d5y6sSEP8GV2eKGZR5PSUKfakSZypWCoCRcccYzSSYBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:35.109945Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9706227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41a2975d713488cf9fcc6a6a14a83de41c6d0d28fba5707c53169e958d778d41","sha256:5e54f200dca04a270f267ff84d18b72ac07ee725f84bc85b7e32ea3e773105e8"],"state_sha256":"62a820028b7dbed5738c2563fb192899aa0a1ef791adcc2a078b2b953ad0a5d0"}