{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MG4FUKYH7YMVWMPRZBU53GL6JF","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":"eb7751f76c631f897ba0b1ea04cb54c434ffdc9ffc65f2e2afdfa5e9b20255d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-11-06T20:29:55Z","title_canon_sha256":"3c266cb48f0015bebf0f349aaeab585c647cf7d51d6ccce901a5f61e4271b31d"},"schema_version":"1.0","source":{"id":"1711.02161","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.02161","created_at":"2026-05-18T00:19:35Z"},{"alias_kind":"arxiv_version","alias_value":"1711.02161v2","created_at":"2026-05-18T00:19:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02161","created_at":"2026-05-18T00:19:35Z"},{"alias_kind":"pith_short_12","alias_value":"MG4FUKYH7YMV","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MG4FUKYH7YMVWMPR","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MG4FUKYH","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:ed1984b4f5a8216e2556f2993bbe7458fb47d4ea3854cb5d2250d3830c0d3e75","target":"graph","created_at":"2026-05-18T00:19:35Z","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":"We show that the Fr\\'echet distance of two-dimensional parametrised surfaces in a metric space is computable in the bit-model of real computation. An analogous result in the real RAM model for piecewise-linear surfaces has recently been obtained by Nayyeri and Xu (2016).","authors_text":"Eike Neumann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-11-06T20:29:55Z","title":"On the computability of the Fr\\'echet distance of surfaces in the bit-model of real computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02161","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":"sha256:4ae29499ed0bac2b6f39f61549768a520f0bcc6887bf7a44749971966784ad32","target":"record","created_at":"2026-05-18T00:19:35Z","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":"eb7751f76c631f897ba0b1ea04cb54c434ffdc9ffc65f2e2afdfa5e9b20255d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-11-06T20:29:55Z","title_canon_sha256":"3c266cb48f0015bebf0f349aaeab585c647cf7d51d6ccce901a5f61e4271b31d"},"schema_version":"1.0","source":{"id":"1711.02161","kind":"arxiv","version":2}},"canonical_sha256":"61b85a2b07fe195b31f1c869dd997e49464a179c53a92d3d79d83d482af4bd1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61b85a2b07fe195b31f1c869dd997e49464a179c53a92d3d79d83d482af4bd1d","first_computed_at":"2026-05-18T00:19:35.195760Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:35.195760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lt2NW05ZYfn9H4fOu7docZvu8dOgFWpqLxJLOuC4JQfK6OMPD3VOfEO2qu0nPpk7i72Q36L8WgzHhSq5X1oLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:35.196219Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.02161","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ae29499ed0bac2b6f39f61549768a520f0bcc6887bf7a44749971966784ad32","sha256:ed1984b4f5a8216e2556f2993bbe7458fb47d4ea3854cb5d2250d3830c0d3e75"],"state_sha256":"ad656cf4b0bd9e6a89d75411fa69841c08dcae66087fb39145ff4a43ebfdedff"}