{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:6BYGRKFG4FMZ5J2TYPU3WZYF4P","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":"93f53a4166459bca40af370a641a675dc7c3f6fc13b4ee8b9b4b87fbb539e906","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-29T11:14:15Z","title_canon_sha256":"d94d27bc8b94df48d7c201b2d0bee8cb5534ba1b308a7d61e65f5178275f3d74"},"schema_version":"1.0","source":{"id":"2411.19618","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.19618","created_at":"2026-07-05T09:42:05Z"},{"alias_kind":"arxiv_version","alias_value":"2411.19618v1","created_at":"2026-07-05T09:42:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.19618","created_at":"2026-07-05T09:42:05Z"},{"alias_kind":"pith_short_12","alias_value":"6BYGRKFG4FMZ","created_at":"2026-07-05T09:42:05Z"},{"alias_kind":"pith_short_16","alias_value":"6BYGRKFG4FMZ5J2T","created_at":"2026-07-05T09:42:05Z"},{"alias_kind":"pith_short_8","alias_value":"6BYGRKFG","created_at":"2026-07-05T09:42:05Z"}],"graph_snapshots":[{"event_id":"sha256:cd42ba4c3058495ca2f5ff7d6bfa4e9a8cd075b62d5b83e1805a25b6887858d8","target":"graph","created_at":"2026-07-05T09:42:05Z","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/2411.19618/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Non-dyadic higher-order interactions affect collective behavior in various networked dynamical systems. Here we discuss the properties of a novel Ising model with higher-order interactions and characterize its phase transitions between the ordered and the disordered phase. By a mean-field treatment, we show that the transition is continuous when only three-body interactions are considered but becomes abrupt when interactions of higher orders are introduced. Using a Georges-Yedidia expansion to go beyond a na\\\"ive mean-field approximation, we reveal a quantitative shift in the critical point of","authors_text":"Ada Altieri, Federico Battiston, Giovanni Petri, Leonardo Di Gaetano, Thomas Robiglio","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-29T11:14:15Z","title":"Higher-order Ising model on hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.19618","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":"sha256:221ae7e21c01223bc0b79fa0943894be14b26af3f704d5f982c23e0998538bb6","target":"record","created_at":"2026-07-05T09:42:05Z","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":"93f53a4166459bca40af370a641a675dc7c3f6fc13b4ee8b9b4b87fbb539e906","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-29T11:14:15Z","title_canon_sha256":"d94d27bc8b94df48d7c201b2d0bee8cb5534ba1b308a7d61e65f5178275f3d74"},"schema_version":"1.0","source":{"id":"2411.19618","kind":"arxiv","version":1}},"canonical_sha256":"f07068a8a6e1599ea753c3e9bb6705e3fc64a607adf268b90973f9c8003278e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f07068a8a6e1599ea753c3e9bb6705e3fc64a607adf268b90973f9c8003278e5","first_computed_at":"2026-07-05T09:42:05.392793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:42:05.392793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vMG4y7nBG2V4TwHGxClwPs1AnsLS6oHWccGIGu3al8TnzT99BQSQLJYmIP9dmsv/RJOi8f8vMp2bByR4f7oeDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:42:05.393217Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.19618","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:221ae7e21c01223bc0b79fa0943894be14b26af3f704d5f982c23e0998538bb6","sha256:cd42ba4c3058495ca2f5ff7d6bfa4e9a8cd075b62d5b83e1805a25b6887858d8"],"state_sha256":"2403dad362cde2320adaccbc71359729957206e8b67a4ac28f13544cf769a910"}