{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PBETLK5DTJEPS3WQY7MGDRRWM3","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":"1f6015f4d0b6cf5b9b7994b27936c230cb018272cf2053392709d21245239509","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-08-29T18:32:29Z","title_canon_sha256":"2843359be508986cfb400ea20afadbf2c5ef041fcd5c199eaf8ac612c797701a"},"schema_version":"1.0","source":{"id":"1808.10005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.10005","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"arxiv_version","alias_value":"1808.10005v1","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.10005","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"pith_short_12","alias_value":"PBETLK5DTJEP","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PBETLK5DTJEPS3WQ","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PBETLK5D","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:ab7cd43b58abfcc8e279e4fde2bada9ba1ce0fb1125c20b4938ca31a8fe2cc9c","target":"graph","created_at":"2026-05-18T00:06:50Z","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":"A \\emph{Stick graph} is an intersection graph of axis-aligned segments such that the left end-points of the horizontal segments and the bottom end-points of the vertical segments lie on a `ground line,' a line with slope $-1$. It is an open question to decide in polynomial time whether a given bipartite graph $G$ with bipartition $A\\cup B$ has a Stick representation where the vertices in $A$ and $B$ correspond to horizontal and vertical segments, respectively. We prove that $G$ has a Stick representation if and only if there are orderings of $A$ and $B$ such that $G$'s bipartite adjacency matr","authors_text":"Anna Lubiw, Debajyoti Mondal, Felice De Luca, Md Iqbal Hossain, Stephen Kobourov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-08-29T18:32:29Z","title":"Recognition and Drawing of Stick Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10005","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:e4adf6317944ff6b6b10f60618a93ef9475dc2e6a95dbd173198e9e6bc25e4b4","target":"record","created_at":"2026-05-18T00:06:50Z","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":"1f6015f4d0b6cf5b9b7994b27936c230cb018272cf2053392709d21245239509","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-08-29T18:32:29Z","title_canon_sha256":"2843359be508986cfb400ea20afadbf2c5ef041fcd5c199eaf8ac612c797701a"},"schema_version":"1.0","source":{"id":"1808.10005","kind":"arxiv","version":1}},"canonical_sha256":"784935aba39a48f96ed0c7d861c63666e59cb7d07c02c5ea1f2713567cd530de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"784935aba39a48f96ed0c7d861c63666e59cb7d07c02c5ea1f2713567cd530de","first_computed_at":"2026-05-18T00:06:50.189985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:50.189985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YZKMJ8x4ruc2dTxM94PETsdG84W/INBar0CYmfEMVDLYyPYeMWb8dEMKuDo+31nBE/0qGInYQxElAWCPc4hTDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:50.190734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.10005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4adf6317944ff6b6b10f60618a93ef9475dc2e6a95dbd173198e9e6bc25e4b4","sha256:ab7cd43b58abfcc8e279e4fde2bada9ba1ce0fb1125c20b4938ca31a8fe2cc9c"],"state_sha256":"b675e62244be22002d18b30f843f910d4e365b0207da0a9006ba107411336f4c"}