{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4VB3U7I5AI5YCKLVI73Z6OP67C","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":"09d1a89127c49742b8e10019610ddf4853cab533a1c42db7df0942c4bb7b928a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-05-26T16:33:45Z","title_canon_sha256":"6876855802da84788ac5b0693494353ceeb8f29ca8ccc05c53006d94562b85c9"},"schema_version":"1.0","source":{"id":"1705.09643","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09643","created_at":"2026-05-18T00:43:38Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09643v1","created_at":"2026-05-18T00:43:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09643","created_at":"2026-05-18T00:43:38Z"},{"alias_kind":"pith_short_12","alias_value":"4VB3U7I5AI5Y","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4VB3U7I5AI5YCKLV","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4VB3U7I5","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:12ae78c14731f51b207cf6db782e2b5a8d3f8deb460c9897a5679efd7e203176","target":"graph","created_at":"2026-05-18T00:43:38Z","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":"Using a connected dominating set (CDS) to serve as the virtual backbone of a wireless sensor network (WSN) is an effective way to save energy and reduce the impact of broadcasting storms. Since nodes may fail due to accidental damage or energy depletion, it is desirable that the virtual backbone is fault tolerant. This could be modeled as a k-connected, m-fold dominating set ((k,m)-CDS). Given a virtual undirected network G=(V,E), a subset C\\subset V is a (k,m)-CDS of G if (i) G[C], the subgraph of G induced by C is k-connected, and (ii) each node in V\\C has at least m neighbors in C. We prese","authors_text":"Asish Mukhopadhyay, Md. Zamilur Rahman, Yash P. Aneja","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-05-26T16:33:45Z","title":"A greedy approximation algorithm for the minimum (2,2)-connected dominating set problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09643","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:c3851a6440b5da5fbbfbba9c799babb3f4312f24bb01abbfc6653101d4104cab","target":"record","created_at":"2026-05-18T00:43:38Z","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":"09d1a89127c49742b8e10019610ddf4853cab533a1c42db7df0942c4bb7b928a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-05-26T16:33:45Z","title_canon_sha256":"6876855802da84788ac5b0693494353ceeb8f29ca8ccc05c53006d94562b85c9"},"schema_version":"1.0","source":{"id":"1705.09643","kind":"arxiv","version":1}},"canonical_sha256":"e543ba7d1d023b81297547f79f39fef88b44cfb3ea520405b3fae7974bcd92f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e543ba7d1d023b81297547f79f39fef88b44cfb3ea520405b3fae7974bcd92f7","first_computed_at":"2026-05-18T00:43:38.186295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:38.186295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kuZk/lAgE004iyzYUC5dY0T2HL4Plpd/NAFEeMDi/IRROyqR29yiRlYDKLrjIIcIMANqm6L7qIwF00qXQpSWCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:38.186745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.09643","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3851a6440b5da5fbbfbba9c799babb3f4312f24bb01abbfc6653101d4104cab","sha256:12ae78c14731f51b207cf6db782e2b5a8d3f8deb460c9897a5679efd7e203176"],"state_sha256":"42e3975b05183cb2fa96a436be45c168ca143a1aad5ad790cdcee601f1d5283b"}