{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:J736LX6XMXQR5I33ZVPRPN6IVX","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":"fb67ed5ac230f4b9c62153297525679b676b89c4de12ff9430f93d876a3fc18d","cross_cats_sorted":["cs.SI","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-05-08T17:07:50Z","title_canon_sha256":"0bc284149892d68824e9ec753359a785a6135cd911addb1dc4ece30781d19a41"},"schema_version":"1.0","source":{"id":"1705.02973","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02973","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02973v2","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02973","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"pith_short_12","alias_value":"J736LX6XMXQR","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"J736LX6XMXQR5I33","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"J736LX6X","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:01ff023e3a5fc67a674e81182a6b83c160101eea320ed2a7108c191727bdbec2","target":"graph","created_at":"2026-05-18T00:11:32Z","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":"We study the problem of community detection in hypergraphs under a stochastic block model. Similarly to how the stochastic block model in graphs suggests studying spiked random matrices, our model motivates investigating statistical and computational limits of exact recovery in a certain spiked tensor model. In contrast with the matrix case, the spiked model naturally arising from community detection in hypergraphs is different from the one arising in the so-called tensor Principal Component Analysis model. We investigate the effectiveness of algorithms in the Sum-of-Squares hierarchy on these","authors_text":"Afonso S. Bandeira, Chiheon Kim, Michel X. Goemans","cross_cats":["cs.SI","math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-05-08T17:07:50Z","title":"Community Detection in Hypergraphs, Spiked Tensor Models, and Sum-of-Squares"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02973","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:ef8095751b17e0b6f5189650f182ce26be2f19cdf1a47b5b2c1cc548a5290648","target":"record","created_at":"2026-05-18T00:11:32Z","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":"fb67ed5ac230f4b9c62153297525679b676b89c4de12ff9430f93d876a3fc18d","cross_cats_sorted":["cs.SI","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-05-08T17:07:50Z","title_canon_sha256":"0bc284149892d68824e9ec753359a785a6135cd911addb1dc4ece30781d19a41"},"schema_version":"1.0","source":{"id":"1705.02973","kind":"arxiv","version":2}},"canonical_sha256":"4ff7e5dfd765e11ea37bcd5f17b7c8ade487b5ceb70fb4a5aeeb9242bb1732e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ff7e5dfd765e11ea37bcd5f17b7c8ade487b5ceb70fb4a5aeeb9242bb1732e4","first_computed_at":"2026-05-18T00:11:32.592310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:32.592310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QZZLOFqKbRx1Nq/gAxkmrcgWxtEM94a8sQCD1QXfDUb2++oPYLdLYvF9HpGJ6iNIte3OozVJRrsU+V61hG3XCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:32.592887Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02973","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef8095751b17e0b6f5189650f182ce26be2f19cdf1a47b5b2c1cc548a5290648","sha256:01ff023e3a5fc67a674e81182a6b83c160101eea320ed2a7108c191727bdbec2"],"state_sha256":"35b4551ee05906c51d88573d9632fe6be6210ec5cf5dde734afb5b2eceb7e4c8"}