{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6ESXBXS4RXYGFYZEBUIMJEH4HZ","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":"16fd3392a2143a8cb8111969bb9e96919c118b4d1e94d87e3bcba2323fe13dfb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-02-21T23:46:31Z","title_canon_sha256":"2c2b74e58c29f143bbb8c010faaebf45cf79c2467b02bc00213064d469a299c2"},"schema_version":"1.0","source":{"id":"1402.5452","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5452","created_at":"2026-05-18T01:23:20Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5452v2","created_at":"2026-05-18T01:23:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5452","created_at":"2026-05-18T01:23:20Z"},{"alias_kind":"pith_short_12","alias_value":"6ESXBXS4RXYG","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6ESXBXS4RXYGFYZE","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6ESXBXS4","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:c6fae39fb869a241b0bc2551bbf968c9d54754d7b1252c0ae9ea32dc46344718","target":"graph","created_at":"2026-05-18T01:23:20Z","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":"T. Keleti asked, whether the ratio of the perimeter and the area of a finite union of unit squares is always at most 4. In this paper we present an example where the ratio is greater than 4. We also answer the analogous question for regular triangles negatively and list a number of open problems.","authors_text":"Viktor Kiss, Zolt\\'an Vidny\\'anszky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-02-21T23:46:31Z","title":"Unions of regular polygons with large perimeter-to-area ratio"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5452","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:ae90321d9f4591a0d42dee326e659183c1c7f13e3225851180bf5bcb00b1b582","target":"record","created_at":"2026-05-18T01:23:20Z","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":"16fd3392a2143a8cb8111969bb9e96919c118b4d1e94d87e3bcba2323fe13dfb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-02-21T23:46:31Z","title_canon_sha256":"2c2b74e58c29f143bbb8c010faaebf45cf79c2467b02bc00213064d469a299c2"},"schema_version":"1.0","source":{"id":"1402.5452","kind":"arxiv","version":2}},"canonical_sha256":"f12570de5c8df062e3240d10c490fc3e40759b4482a6806b69dd29a9ae0eb9a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f12570de5c8df062e3240d10c490fc3e40759b4482a6806b69dd29a9ae0eb9a5","first_computed_at":"2026-05-18T01:23:20.936278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:20.936278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZBA/s75BwxaLUOE0UMjnkxFUxC7ic8X1m7YwKiI5PzSVNsFHwejcuQJjVZlqd1BjH7BbefimPlB6+B4o3ir4BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:20.936938Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5452","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae90321d9f4591a0d42dee326e659183c1c7f13e3225851180bf5bcb00b1b582","sha256:c6fae39fb869a241b0bc2551bbf968c9d54754d7b1252c0ae9ea32dc46344718"],"state_sha256":"86477a1df0f20e8c8dbc1aa27c3248b43242e8b9ac58678d6864c56ae2ba4fee"}