{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:S5VLCCA2V6DGO3XK4URLH3E22P","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":"8ade4329f14f40e6b823105ca17490921f7e4bf80d6c61ccc83a8d84bba04501","cross_cats_sorted":["cs.CC","math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2023-04-17T10:38:08Z","title_canon_sha256":"9378de9bc8a861f54ed8a030a347b61d9060ca4f3193a7ebdc44a83aaddae3f9"},"schema_version":"1.0","source":{"id":"2304.08135","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.08135","created_at":"2026-07-05T06:01:39Z"},{"alias_kind":"arxiv_version","alias_value":"2304.08135v1","created_at":"2026-07-05T06:01:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.08135","created_at":"2026-07-05T06:01:39Z"},{"alias_kind":"pith_short_12","alias_value":"S5VLCCA2V6DG","created_at":"2026-07-05T06:01:39Z"},{"alias_kind":"pith_short_16","alias_value":"S5VLCCA2V6DGO3XK","created_at":"2026-07-05T06:01:39Z"},{"alias_kind":"pith_short_8","alias_value":"S5VLCCA2","created_at":"2026-07-05T06:01:39Z"}],"graph_snapshots":[{"event_id":"sha256:fb8fe0ecee98c0d51f982335c745938293bb037a8e304940baa617e2c6d8c1f8","target":"graph","created_at":"2026-07-05T06:01:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2304.08135/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Detection of a planted dense subgraph in a random graph is a fundamental statistical and computational problem that has been extensively studied in recent years. We study a hypergraph version of the problem. Let $G^r(n,p)$ denote the $r$-uniform Erd\\H{o}s-R\\'enyi hypergraph model with $n$ vertices and edge density $p$. We consider detecting the presence of a planted $G^r(n^\\gamma, n^{-\\alpha})$ subhypergraph in a $G^r(n, n^{-\\beta})$ hypergraph, where $0< \\alpha < \\beta < r-1$ and $0 < \\gamma < 1$. Focusing on tests that are degree-$n^{o(1)}$ polynomials of the entries of the adjacency tensor,","authors_text":"Abhishek Dhawan, Alexander S. Wein, Cheng Mao","cross_cats":["cs.CC","math.ST","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2023-04-17T10:38:08Z","title":"Detection of Dense Subhypergraphs by Low-Degree Polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.08135","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:ec544c3f0b5bd6f2f8e04accdde9ae5968a10e7bd39c7af0d37ba948b3cd8e8d","target":"record","created_at":"2026-07-05T06:01:39Z","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":"8ade4329f14f40e6b823105ca17490921f7e4bf80d6c61ccc83a8d84bba04501","cross_cats_sorted":["cs.CC","math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2023-04-17T10:38:08Z","title_canon_sha256":"9378de9bc8a861f54ed8a030a347b61d9060ca4f3193a7ebdc44a83aaddae3f9"},"schema_version":"1.0","source":{"id":"2304.08135","kind":"arxiv","version":1}},"canonical_sha256":"976ab1081aaf86676eeae522b3ec9ad3cf261828a8f49bb32a054c17a43f720c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"976ab1081aaf86676eeae522b3ec9ad3cf261828a8f49bb32a054c17a43f720c","first_computed_at":"2026-07-05T06:01:39.719124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:01:39.719124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JjYxib2AHdIyZYxHHm4a+upqrXV05IjxDw6acqWEtOt0ltoz2DIm8W71ZlWO0p0uaTLuZJmzhQqz390YC3aHDg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:01:39.719606Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.08135","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec544c3f0b5bd6f2f8e04accdde9ae5968a10e7bd39c7af0d37ba948b3cd8e8d","sha256:fb8fe0ecee98c0d51f982335c745938293bb037a8e304940baa617e2c6d8c1f8"],"state_sha256":"6978239cb321505cc91ce59bda76497ad2dd1190794f1da25cfd6ed28187e264"}