{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:OUPDEQBR4LIVGB2ZP6TGGODREQ","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":"83909a33c8a6bb2540fe9eeec5f5b90e931964a9927318e06669a9d9224af057","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2009-08-27T15:59:23Z","title_canon_sha256":"a206496a7080312a3ea2e92d34f7d0dece898445667e3cb3f39ac0ba1b1817e7"},"schema_version":"1.0","source":{"id":"0908.3911","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.3911","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"0908.3911v1","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.3911","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"OUPDEQBR4LIV","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"OUPDEQBR4LIVGB2Z","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"OUPDEQBR","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:5a42de9113da198422e1cb3c3f8f756cb67baacdfea252d0c681abb6de791705","target":"graph","created_at":"2026-05-18T04:42:02Z","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 $S$ be a set of $n^2$ symbols. Let $A$ be an $n\\times n$ square grid with each cell labeled by a distinct symbol in $S$. Let $B$ be another $n\\times n$ square grid, also with each cell labeled by a distinct symbol in $S$. Then each symbol in $S$ labels two cells, one in $A$ and one in $B$. Define the \\emph{combined distance} between two symbols in $S$ as the distance between the two cells in $A$ plus the distance between the two cells in $B$ that are labeled by the two symbols. Bel\\'en Palop asked the following question at the open problems session of CCCG 2009: How to arrange the symbols ","authors_text":"Minghui Jiang, Pedro J. Tejada","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2009-08-27T15:59:23Z","title":"Spreading grid cells"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.3911","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:cc1a8bf20915cef51d27481b1f36176f5314151214597b2086d258b5ccc9af37","target":"record","created_at":"2026-05-18T04:42:02Z","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":"83909a33c8a6bb2540fe9eeec5f5b90e931964a9927318e06669a9d9224af057","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2009-08-27T15:59:23Z","title_canon_sha256":"a206496a7080312a3ea2e92d34f7d0dece898445667e3cb3f39ac0ba1b1817e7"},"schema_version":"1.0","source":{"id":"0908.3911","kind":"arxiv","version":1}},"canonical_sha256":"751e324031e2d15307597fa663387124078575bd6a1d7ef758b9b0bd38b3f464","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"751e324031e2d15307597fa663387124078575bd6a1d7ef758b9b0bd38b3f464","first_computed_at":"2026-05-18T04:42:02.003440Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:02.003440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bz4z6IeHzOYsm26vJTVgvTIcsHJqLwXz9mf7bsanDZFOZ7X1JJvtxQAsNs8rV3gGS3zgLbDwRQxIT7AoHzGtBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:02.003924Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.3911","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc1a8bf20915cef51d27481b1f36176f5314151214597b2086d258b5ccc9af37","sha256:5a42de9113da198422e1cb3c3f8f756cb67baacdfea252d0c681abb6de791705"],"state_sha256":"e5f35bcb6dde05ccbd5863bea472ffe9d126b5b759ef76c152407bed20e31130"}