{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JP5TTXZSL5ORX2ZDQ4NXFBLOMW","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":"d24301660c096b8353cae78cbc81c39479f3d2a2c07b6d97a623cf24f230d428","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-01-30T13:51:10Z","title_canon_sha256":"d602522248e8570d48d2d3c25d659e73f7289aae31426b19d91f52834fcc327e"},"schema_version":"1.0","source":{"id":"1201.6207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.6207","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"arxiv_version","alias_value":"1201.6207v2","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6207","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"pith_short_12","alias_value":"JP5TTXZSL5OR","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JP5TTXZSL5ORX2ZD","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JP5TTXZS","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:dbedb631b348ac3eadbbdacbe20071c3454ac461fc07be7f98f5d3467a79db9d","target":"graph","created_at":"2026-05-18T04:03:18Z","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":"Let k be a natural number. Let G be a graph and let N_1,...,N_k be k independent sets in G. The graph G is k-probe distance hereditary if G can be embedded into a DH-graph by adding edges between vertices that are contained in the same independent set. We show that there exists a polynomial-time algorithm to check if a graph G is k-probe distance hereditary.","authors_text":"T. Kloks","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-01-30T13:51:10Z","title":"k-Probe DH-graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6207","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":"sha256:00317d652a718226e8b8521834fcaf2ac8dce48099d48566ada834ab63a406a7","target":"record","created_at":"2026-05-18T04:03:18Z","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":"d24301660c096b8353cae78cbc81c39479f3d2a2c07b6d97a623cf24f230d428","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-01-30T13:51:10Z","title_canon_sha256":"d602522248e8570d48d2d3c25d659e73f7289aae31426b19d91f52834fcc327e"},"schema_version":"1.0","source":{"id":"1201.6207","kind":"arxiv","version":2}},"canonical_sha256":"4bfb39df325f5d1beb23871b72856e6593b62af7337c0c5c614939c7dd5c3454","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bfb39df325f5d1beb23871b72856e6593b62af7337c0c5c614939c7dd5c3454","first_computed_at":"2026-05-18T04:03:18.871739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:18.871739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8m6WPArWVCr4brosVQ36gI4MqZ3GPugDreK9osIOtmspa3pyF9fVK8gto0TmwheAPV1F70rIYCUTzj9B2H6MAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:18.872211Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.6207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00317d652a718226e8b8521834fcaf2ac8dce48099d48566ada834ab63a406a7","sha256:dbedb631b348ac3eadbbdacbe20071c3454ac461fc07be7f98f5d3467a79db9d"],"state_sha256":"59de0edd46ecfb74e0a25563a44f56ee4833775cb52e415877d73966f3ff525a"}