{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JYEYFURXALINUHEJ4HFCRB56V4","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":"dd6762c35c8857b8b5f98726d787e1586a81521d724cc896f01a28429d7af0fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-08-23T21:37:28Z","title_canon_sha256":"bbadbd0090775201be61227dcbbe12ce324802f5126aeb9f670620073e659339"},"schema_version":"1.0","source":{"id":"1108.4705","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4705","created_at":"2026-05-18T01:36:51Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4705v3","created_at":"2026-05-18T01:36:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4705","created_at":"2026-05-18T01:36:51Z"},{"alias_kind":"pith_short_12","alias_value":"JYEYFURXALIN","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JYEYFURXALINUHEJ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JYEYFURX","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:f6be25ef3c0b303c17b60fdef578bf76fb4ab52322d1df4986cef29d7d46f920","target":"graph","created_at":"2026-05-18T01:36:51Z","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 several problems of compacting orthogonal graph drawings to use the minimum number of rows, area, length of longest edge or total edge length cannot be approximated better than within a polynomial factor of optimal in polynomial time unless P = NP. We also provide a fixed-parameter-tractable algorithm for testing whether a drawing can be compacted to a small number of rows.","authors_text":"David Eppstein, Joseph A. Simons, Michael J. Bannister","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-08-23T21:37:28Z","title":"Inapproximability of Orthogonal Compaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4705","kind":"arxiv","version":3},"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":"sha256:8bd30ce51534bfc6d8d132c36a4cb315c70a167d982850d5f23bed82cf014355","target":"record","created_at":"2026-05-18T01:36:51Z","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":"dd6762c35c8857b8b5f98726d787e1586a81521d724cc896f01a28429d7af0fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-08-23T21:37:28Z","title_canon_sha256":"bbadbd0090775201be61227dcbbe12ce324802f5126aeb9f670620073e659339"},"schema_version":"1.0","source":{"id":"1108.4705","kind":"arxiv","version":3}},"canonical_sha256":"4e0982d23702d0da1c89e1ca2887beaf05bbc121a33fcebb62c5fc974fd2d17f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e0982d23702d0da1c89e1ca2887beaf05bbc121a33fcebb62c5fc974fd2d17f","first_computed_at":"2026-05-18T01:36:51.965059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:51.965059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EAwu+QLMZr6Tawk6yHrMPVwVLjQNirQzxO2n6pbhdYhyqHXx5zNqV4q3qMGuo2Hqu2RYZ0EhUllHubEcfxIPDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:51.965548Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4705","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bd30ce51534bfc6d8d132c36a4cb315c70a167d982850d5f23bed82cf014355","sha256:f6be25ef3c0b303c17b60fdef578bf76fb4ab52322d1df4986cef29d7d46f920"],"state_sha256":"a80aff4a39d98ec856945ec26283c6e48ca20c79655deccfc44fd7e3a5da9701"}