{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GDKIA6DB5I6KQ6EJ6V7ZFXPPOO","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":"4a3c5d6f463b7a0f1fb2c41e60b632c7b0d6c47ed7004b4da76bcc497c11c213","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-03-05T01:41:08Z","title_canon_sha256":"f890f72bc1d856410122223a3244c568f3ef818608ed7a5855c02430bdd527aa"},"schema_version":"1.0","source":{"id":"1703.01544","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01544","created_at":"2026-05-18T00:49:30Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01544v1","created_at":"2026-05-18T00:49:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01544","created_at":"2026-05-18T00:49:30Z"},{"alias_kind":"pith_short_12","alias_value":"GDKIA6DB5I6K","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"GDKIA6DB5I6KQ6EJ","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"GDKIA6DB","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:c368dc3d43f0632882d6ce48d583c918fa3415dd5e9729442d027fb90090120e","target":"graph","created_at":"2026-05-18T00:49:30Z","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":"In an $\\mathsf{L}$-embedding of a graph, each vertex is represented by an $\\mathsf{L}$-segment, and two segments intersect each other if and only if the corresponding vertices are adjacent in the graph. If the corner of each $\\mathsf{L}$-segment in an $\\mathsf{L}$-embedding lies on a straight line, we call it a monotone $\\mathsf{L}$-embedding. In this paper we give a full characterization of monotone $\\mathsf{L}$-embeddings by introducing a new class of graphs which we call \"non-jumping\" graphs. We show that a graph admits a monotone $\\mathsf{L}$-embedding if and only if the graph is a non-jum","authors_text":"Abu Reyan Ahmed, Alon Efrat, Eric Welch, Felice De Luca, Jixian Li, Md Iqbal Hossain, Sabin Devkota, Sammi Abida Salma, Stephen Kobourov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-03-05T01:41:08Z","title":"L-Graphs and Monotone L-Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01544","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":"sha256:8e48642c49eb2b8bb9ee11beceaa7ac525fcb8c1338024f267fd70182e424de3","target":"record","created_at":"2026-05-18T00:49:30Z","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":"4a3c5d6f463b7a0f1fb2c41e60b632c7b0d6c47ed7004b4da76bcc497c11c213","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-03-05T01:41:08Z","title_canon_sha256":"f890f72bc1d856410122223a3244c568f3ef818608ed7a5855c02430bdd527aa"},"schema_version":"1.0","source":{"id":"1703.01544","kind":"arxiv","version":1}},"canonical_sha256":"30d4807861ea3ca87889f57f92ddef73b1941c81eea871307440d754a6a285ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30d4807861ea3ca87889f57f92ddef73b1941c81eea871307440d754a6a285ff","first_computed_at":"2026-05-18T00:49:30.353634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:30.353634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6IoPpxbdGh1u40zGAE7XnNlJOKKkK6x25VPZVA7x4Fh2KaBEtc6P3UZdh6v8wnbakDPeN7rjptg7a4LJazrRBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:30.354238Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.01544","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e48642c49eb2b8bb9ee11beceaa7ac525fcb8c1338024f267fd70182e424de3","sha256:c368dc3d43f0632882d6ce48d583c918fa3415dd5e9729442d027fb90090120e"],"state_sha256":"157623a6ed69f68362c379fc79b25963533247c5ec417c8181820044653e9045"}