{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4JJ7TOABJSVEUSKRQLSZXPNARX","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":"28b7b2215fae2473ebe9e5c3c1af8ec860d8cd5d2f690ce6c4632624065fed81","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-10-04T06:05:49Z","title_canon_sha256":"a2505e57f694a62a7ef2afc0bbef552a0983a3abb825e844309ad3e87a856139"},"schema_version":"1.0","source":{"id":"1610.00853","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00853","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00853v1","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00853","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"pith_short_12","alias_value":"4JJ7TOABJSVE","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4JJ7TOABJSVEUSKR","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4JJ7TOAB","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:ba832e38757ca7481ca2dbc8790828b3761f94b5fe895cc529b7aa4f861b6ff7","target":"graph","created_at":"2026-05-18T01:03:13Z","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":"\\emph{Strictly Chordality-$k$ graphs ($SC_k$)} are graphs which are either cycle-free or every induced cycle is of length exactly $k, k \\geq 3$. Strictly chordality-3 and strictly chordality-4 graphs are well known chordal and chordal bipartite graphs, respectively. For $k\\geq 5$, the study has been recently initiated in \\cite{sadagopan} and various structural and algorithmic results are reported. In this paper, we show that maximum independent set (MIS), minimum vertex cover, minimum dominating set, feedback vertex set (FVS), odd cycle transversal (OCT), even cycle transversal (ECT) and Stein","authors_text":"N. Sadagopan, S. Dhanalakshmi","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-10-04T06:05:49Z","title":"Constrained Hitting Set and Steiner Tree in $SC_k$ and $2K_2$-free Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00853","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":"sha256:1a7fd600d1e105f95b029ec5889f3c7605d9c3a3ebffc719fd7c6bd5dc106f4b","target":"record","created_at":"2026-05-18T01:03:13Z","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":"28b7b2215fae2473ebe9e5c3c1af8ec860d8cd5d2f690ce6c4632624065fed81","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-10-04T06:05:49Z","title_canon_sha256":"a2505e57f694a62a7ef2afc0bbef552a0983a3abb825e844309ad3e87a856139"},"schema_version":"1.0","source":{"id":"1610.00853","kind":"arxiv","version":1}},"canonical_sha256":"e253f9b8014caa4a495182e59bbda08dc1497ea96366a5b0eccfe202e8c0284f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e253f9b8014caa4a495182e59bbda08dc1497ea96366a5b0eccfe202e8c0284f","first_computed_at":"2026-05-18T01:03:13.069682Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:13.069682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v8T6yr/ZkWVh0c0wHYZr2BTxKtthSJEjAOiILlYrdQVMc4QhmM7f2ToPetd+XYJmjJrqu09LCw8ZRviv4B6ZDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:13.070293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.00853","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a7fd600d1e105f95b029ec5889f3c7605d9c3a3ebffc719fd7c6bd5dc106f4b","sha256:ba832e38757ca7481ca2dbc8790828b3761f94b5fe895cc529b7aa4f861b6ff7"],"state_sha256":"53bf6303591c0fa6106da12b4870a929f3c8d4375632e7c36b9d7470314b466e"}