{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XHWJJ7NVQDEBHYFIVQ4RDKFOQH","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":"f23c5eb1540b5c092d602aca1d1a8aee738b3233767e84890a2a48bee77469de","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-11-15T09:38:30Z","title_canon_sha256":"fbd202b0c69ff7c8c79e0bc941006cce8de945121fa69a4517f8335217754dfd"},"schema_version":"1.0","source":{"id":"1711.05473","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05473","created_at":"2026-05-18T00:05:32Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05473v2","created_at":"2026-05-18T00:05:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05473","created_at":"2026-05-18T00:05:32Z"},{"alias_kind":"pith_short_12","alias_value":"XHWJJ7NVQDEB","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XHWJJ7NVQDEBHYFI","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XHWJJ7NV","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:3de62d9e781a8ef83897ac700a9372b04c511db67cd4713511bfcf705e71e23d","target":"graph","created_at":"2026-05-18T00:05:32Z","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 prove that the intersection hypergraph of a family of $n$ pseudo-disks with respect to another family of pseudo-disks admits a proper coloring with $4$ colors and a conflict-free coloring with $O(\\log n)$ colors. Along the way we prove that the respective Delaunay-graph is planar. We also prove that the intersection hypergraph of a family of $n$ regions with linear union complexity with respect to a family of pseudo-disks admits a proper coloring with constantly many colors and a conflict-free coloring with $O(\\log n)$ colors. Our results serve as a common generalization and strengthening o","authors_text":"Bal\\'azs Keszegh","cross_cats":["cs.CG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-11-15T09:38:30Z","title":"Coloring intersection hypergraphs of pseudo-disks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05473","kind":"arxiv","version":2},"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:e3e92ffde4c1ed296bea6c2a9b5147c4efdfcb9e6d0152201e4652a66970f42d","target":"record","created_at":"2026-05-18T00:05:32Z","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":"f23c5eb1540b5c092d602aca1d1a8aee738b3233767e84890a2a48bee77469de","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-11-15T09:38:30Z","title_canon_sha256":"fbd202b0c69ff7c8c79e0bc941006cce8de945121fa69a4517f8335217754dfd"},"schema_version":"1.0","source":{"id":"1711.05473","kind":"arxiv","version":2}},"canonical_sha256":"b9ec94fdb580c813e0a8ac3911a8ae81d9556ce5a9f72814992988b2b7e48f2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9ec94fdb580c813e0a8ac3911a8ae81d9556ce5a9f72814992988b2b7e48f2d","first_computed_at":"2026-05-18T00:05:32.495707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:32.495707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jILHMDHrCaLawYVRokbh7JU4wQY27oMV2a2VefzkgxhQYZGftqcMgqFMiPJNpZ5cqJ+PjDjf2d7MSBdV9uxXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:32.496164Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05473","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3e92ffde4c1ed296bea6c2a9b5147c4efdfcb9e6d0152201e4652a66970f42d","sha256:3de62d9e781a8ef83897ac700a9372b04c511db67cd4713511bfcf705e71e23d"],"state_sha256":"b320ddf075b59c5d450ab9c9b04fdf8bf1a6ed582691ff34c2fa4d7fe9e5360a"}