{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Y7BVMW7E4ASLYZCETZT5QX5NEU","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":"c441d180577fd6af0189b9e53e18c1c7cb0e35825825daba53af0e8c5c83116a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-01-23T06:04:54Z","title_canon_sha256":"b83a8ee31ca80c70805e32c32e498ce65dac041d3fc8b44b506eafd71a1c2383"},"schema_version":"1.0","source":{"id":"1901.07735","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.07735","created_at":"2026-05-17T23:55:41Z"},{"alias_kind":"arxiv_version","alias_value":"1901.07735v1","created_at":"2026-05-17T23:55:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07735","created_at":"2026-05-17T23:55:41Z"},{"alias_kind":"pith_short_12","alias_value":"Y7BVMW7E4ASL","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"Y7BVMW7E4ASLYZCE","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"Y7BVMW7E","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:f24c3b71729b778a673a7626081400b9a2db290614479d0e216db06723b0953f","target":"graph","created_at":"2026-05-17T23:55:41Z","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":"A locating-dominating set (LDS) of a graph $G$ is a dominating set $S$ of $G$ such that for every two vertices $u$ and $v$ in $V(G) \\setminus S$, $N(u)\\cap S \\neq N(v)\\cap S$. The locating-domination number $\\gamma^{L}(G)$ is the minimum cardinality of a LDS of $G$. Further if $S$ is a total dominating set then $S$ is called a locating-total dominating set. In this paper we determine the domination, total domination, locating-domination and locating-total domination numbers for hypertrees and sibling trees.","authors_text":"Indra Rajasingh, R. Jayagopal, R. Sundara Rajan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-01-23T06:04:54Z","title":"Domination Parameters in Hypertrees and Sibling trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07735","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":"sha256:15cab943607b0ead8d2ac5734ca72652c6f558db15c9b954d77133bb2d8f8e0b","target":"record","created_at":"2026-05-17T23:55:41Z","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":"c441d180577fd6af0189b9e53e18c1c7cb0e35825825daba53af0e8c5c83116a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-01-23T06:04:54Z","title_canon_sha256":"b83a8ee31ca80c70805e32c32e498ce65dac041d3fc8b44b506eafd71a1c2383"},"schema_version":"1.0","source":{"id":"1901.07735","kind":"arxiv","version":1}},"canonical_sha256":"c7c3565be4e024bc64449e67d85fad252545e81b4e7145089d5df197c77aedab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7c3565be4e024bc64449e67d85fad252545e81b4e7145089d5df197c77aedab","first_computed_at":"2026-05-17T23:55:41.651248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:41.651248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o5qJdDxTAUbwOTjRxA5RdnPFLNdLP+J/UibOh3pMXdrQccuHcnnqx99rewNHB/H0y3a2m5jOkriamWJZy+DWAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:41.651874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.07735","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15cab943607b0ead8d2ac5734ca72652c6f558db15c9b954d77133bb2d8f8e0b","sha256:f24c3b71729b778a673a7626081400b9a2db290614479d0e216db06723b0953f"],"state_sha256":"3b76599af7edb9ec17dda5da9d8faa1f15ef3b0e8a8aa96db6e302d707e1225b"}