{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VCU2G3MV7VWWEN2GPVPO3E5UME","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":"8d734f71c1b53a6d231f294d77d1a1b97acf7a083227f0d7ae55762eae18288d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-02-15T16:18:40Z","title_canon_sha256":"662839a3b89cc6e97b2d6135b2749a7da3c58d47c40ed1a23de1bd472c7f562f"},"schema_version":"1.0","source":{"id":"1502.04328","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.04328","created_at":"2026-05-18T02:26:59Z"},{"alias_kind":"arxiv_version","alias_value":"1502.04328v1","created_at":"2026-05-18T02:26:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04328","created_at":"2026-05-18T02:26:59Z"},{"alias_kind":"pith_short_12","alias_value":"VCU2G3MV7VWW","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VCU2G3MV7VWWEN2G","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VCU2G3MV","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:04158c4672a56b853a3c662aadf755cb17832ea219c3c3e009d5bda8d89f9e4f","target":"graph","created_at":"2026-05-18T02:26:59Z","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":"Given a set of points in the plane each colored either red or blue, we find non-self-intersecting geometric spanning cycles of the red points and of the blue points such that each edge of the red spanning cycle is crossed at most three times by the blue spanning cycle and vice-versa.","authors_text":"Benson Joeris, Isabel Urrutia, Jorge Urrutia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-02-15T16:18:40Z","title":"Geometric Spanning Cycles in Bichromatic Point Sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04328","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":"sha256:5db66228e75d8d8d73544fc949cdfad59acead3c9192a52edb66d86fc641746f","target":"record","created_at":"2026-05-18T02:26:59Z","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":"8d734f71c1b53a6d231f294d77d1a1b97acf7a083227f0d7ae55762eae18288d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-02-15T16:18:40Z","title_canon_sha256":"662839a3b89cc6e97b2d6135b2749a7da3c58d47c40ed1a23de1bd472c7f562f"},"schema_version":"1.0","source":{"id":"1502.04328","kind":"arxiv","version":1}},"canonical_sha256":"a8a9a36d95fd6d6237467d5eed93b461378b7d347b878bbde2b9e5494c72c169","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8a9a36d95fd6d6237467d5eed93b461378b7d347b878bbde2b9e5494c72c169","first_computed_at":"2026-05-18T02:26:59.956662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:59.956662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jmDSE5PUQRb9CNS8uQbhl21UA3VlMbl+EGefSP8LCplWb5ZCYvR21DLDlzlzOtzp02SLjvMjUgvsQ0a4VqAgCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:59.957224Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.04328","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5db66228e75d8d8d73544fc949cdfad59acead3c9192a52edb66d86fc641746f","sha256:04158c4672a56b853a3c662aadf755cb17832ea219c3c3e009d5bda8d89f9e4f"],"state_sha256":"27af2121cd442b0d858a0c6013ae486188cb6b92382ee18792a8a4cb513898bf"}