{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IPMHVN7H32DN3D4K3FPILQWYVP","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":"36fa7b72d547ad47c6c8a2c9156a7846697bebb4ffb511925ba1135976885195","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-10-17T13:57:46Z","title_canon_sha256":"4476e80d628183dbca948ccf8e03dad274d1aa8645b422fac7b81e59c4ed032d"},"schema_version":"1.0","source":{"id":"1410.4725","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4725","created_at":"2026-05-18T02:17:42Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4725v2","created_at":"2026-05-18T02:17:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4725","created_at":"2026-05-18T02:17:42Z"},{"alias_kind":"pith_short_12","alias_value":"IPMHVN7H32DN","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IPMHVN7H32DN3D4K","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IPMHVN7H","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:f14199584d1bbd88887f745379e831237ee33dce0bf3c2c5bdfbe817d1f3b4fb","target":"graph","created_at":"2026-05-18T02:17:42Z","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":"With the geometric background provided by Alonso, Martini, and Spirova on the location of circumcenters of triangles in normed planes, we show the validity of the Elzinga--Hearn algorithm and the Shamos--Hoey algorithm for solving the minimal enclosing disk problem in strictly convex normed planes.","authors_text":"Thomas Jahn","cross_cats":["cs.CG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-10-17T13:57:46Z","title":"Geometric Algorithms for Minimal Enclosing Discs in Strictly Convex Normed Planes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4725","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":"sha256:1779272d8d40d5b2318c98a5977153c97e90f0488bf545cfa697acb58b0db76c","target":"record","created_at":"2026-05-18T02:17:42Z","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":"36fa7b72d547ad47c6c8a2c9156a7846697bebb4ffb511925ba1135976885195","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-10-17T13:57:46Z","title_canon_sha256":"4476e80d628183dbca948ccf8e03dad274d1aa8645b422fac7b81e59c4ed032d"},"schema_version":"1.0","source":{"id":"1410.4725","kind":"arxiv","version":2}},"canonical_sha256":"43d87ab7e7de86dd8f8ad95e85c2d8abdbdd4472de053400304c3de084ca05b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43d87ab7e7de86dd8f8ad95e85c2d8abdbdd4472de053400304c3de084ca05b3","first_computed_at":"2026-05-18T02:17:42.852266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:42.852266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"weXlXKNfMmBgCXUMFdWpnarp5Pnggfd06dDG4/eTIBD4ZAoOWZPpApXPprZVayZFGCp965eBWEOV0XsyLhVTBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:42.852661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4725","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1779272d8d40d5b2318c98a5977153c97e90f0488bf545cfa697acb58b0db76c","sha256:f14199584d1bbd88887f745379e831237ee33dce0bf3c2c5bdfbe817d1f3b4fb"],"state_sha256":"59022d2a674184db2e748f5c7519671afa72e39f84dc162b7535e8c6d9f9993a"}