{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3O52QTU62CGP3PUPT4PIWHHRAL","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":"b36cdf33212ada69757d26edbc0e39eb52dd556153896dfb713bca7dd021c4c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-08-29T12:43:36Z","title_canon_sha256":"0286377e91e0fba0821a804f41086afc980b1427a35e20d6afed53f08bff4da7"},"schema_version":"1.0","source":{"id":"1608.08027","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08027","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08027v1","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08027","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"3O52QTU62CGP","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3O52QTU62CGP3PUP","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3O52QTU6","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:6aa774731d274040fa7735977d6d6b9c7c0b448a63fa7cfab86dbf4c17b259b7","target":"graph","created_at":"2026-05-18T01:07:49Z","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 storyline visualization is a layout that represents the temporal dynamics of social interactions along time by the convergence of chronological lines. Among the criteria oriented at improving aesthetics and legibility of a representation of this type, a small number of line crossings is the hardest to achieve. We model the crossing minimization in the storyline visualization problem as a multi-layer crossing minimization problem with tree constraints. Our algorithm can compute a layout with the minimum number of crossings of the chronological lines. Computational results demonstrate that it ","authors_text":"Francesco Mambelli, Frauke Liers, Martin Gronemann, Michael J\\\"unger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-08-29T12:43:36Z","title":"Crossing Minimization in Storyline Visualization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08027","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":"sha256:12cdfb30391fc41dc688315b9e68c7062f59d375ad90cdc612471c31d10edb93","target":"record","created_at":"2026-05-18T01:07:49Z","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":"b36cdf33212ada69757d26edbc0e39eb52dd556153896dfb713bca7dd021c4c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-08-29T12:43:36Z","title_canon_sha256":"0286377e91e0fba0821a804f41086afc980b1427a35e20d6afed53f08bff4da7"},"schema_version":"1.0","source":{"id":"1608.08027","kind":"arxiv","version":1}},"canonical_sha256":"dbbba84e9ed08cfdbe8f9f1e8b1cf102f16ab41f59b1d4fa2c1c20042a2f9150","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbbba84e9ed08cfdbe8f9f1e8b1cf102f16ab41f59b1d4fa2c1c20042a2f9150","first_computed_at":"2026-05-18T01:07:49.302499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:49.302499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"An209iRHTY2PrYwlB8oa5gqnyUZ3WY/HKUfmjKKNHcRpv1+HYRSUHf2cC7BgJSVnh26XEX00QANvHpiDxS0/Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:49.303006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.08027","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12cdfb30391fc41dc688315b9e68c7062f59d375ad90cdc612471c31d10edb93","sha256:6aa774731d274040fa7735977d6d6b9c7c0b448a63fa7cfab86dbf4c17b259b7"],"state_sha256":"2fd8b059d23e2c1873688b501a1f48c0cd4481dc50dc67b5fbb8fed0b93af2e5"}