{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7Q2B6YBHLF2TDRHOXH3GAV5NTX","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":"134b481fb66fef99de964d234a20352642111867a39aa77c2afe4a10e8d6e012","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-09-01T20:53:07Z","title_canon_sha256":"0c5e28b0c7251da17ad3749d42e458dde3c91144fc388728b68533810af172e2"},"schema_version":"1.0","source":{"id":"1909.00472","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.00472","created_at":"2026-07-05T03:28:08Z"},{"alias_kind":"arxiv_version","alias_value":"1909.00472v3","created_at":"2026-07-05T03:28:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.00472","created_at":"2026-07-05T03:28:08Z"},{"alias_kind":"pith_short_12","alias_value":"7Q2B6YBHLF2T","created_at":"2026-07-05T03:28:08Z"},{"alias_kind":"pith_short_16","alias_value":"7Q2B6YBHLF2TDRHO","created_at":"2026-07-05T03:28:08Z"},{"alias_kind":"pith_short_8","alias_value":"7Q2B6YBH","created_at":"2026-07-05T03:28:08Z"}],"graph_snapshots":[{"event_id":"sha256:58f3f4b0fa93f855c6b36a25ea332d675eb5ff3039a106f9db8e0f3065a78d12","target":"graph","created_at":"2026-07-05T03:28:08Z","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/1909.00472/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The increasing prevalence of relational data describing interactions among a target population has motivated a wide literature on statistical network analysis. In many applications, interactions may involve more than two members of the population and this data is more appropriately represented by a hypergraph. In this paper, we present a model for hypergraph data which extends the well established latent space approach for graphs and, by drawing a connection to constructs from computational topology, we develop a model whose likelihood is inexpensive to compute. A delayed-acceptance MCMC schem","authors_text":"Christopher Nemeth, Edoardo Airoldi, Kathryn Turnbull, Sim\\'on Lunag\\'omez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-09-01T20:53:07Z","title":"Latent Space Modelling of Hypergraph Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.00472","kind":"arxiv","version":3},"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":"sha256:9d13ace334c649f9b2679cf951f39e9564fbf2bc38879dc899040dac3fcde02f","target":"record","created_at":"2026-07-05T03:28:08Z","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":"134b481fb66fef99de964d234a20352642111867a39aa77c2afe4a10e8d6e012","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-09-01T20:53:07Z","title_canon_sha256":"0c5e28b0c7251da17ad3749d42e458dde3c91144fc388728b68533810af172e2"},"schema_version":"1.0","source":{"id":"1909.00472","kind":"arxiv","version":3}},"canonical_sha256":"fc341f6027597531c4eeb9f66057ad9df96b27d5d0ff6b1ad3ff5710b96b554f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc341f6027597531c4eeb9f66057ad9df96b27d5d0ff6b1ad3ff5710b96b554f","first_computed_at":"2026-07-05T03:28:08.947363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:28:08.947363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2/xs4F3Fft9t8YI/BFjWpmka+8qK2KhyPnEC66VL0jruu+hd4OVLj/HbyZhzHNXUvcne1B4BmHvLQuUoqMU/Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:28:08.947835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.00472","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d13ace334c649f9b2679cf951f39e9564fbf2bc38879dc899040dac3fcde02f","sha256:58f3f4b0fa93f855c6b36a25ea332d675eb5ff3039a106f9db8e0f3065a78d12"],"state_sha256":"86677f4fe8a82f5f5a880d1d13088bfbd39ad0550a8b16b3967ff3e7d77d1ab1"}