{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6W2BRGXYFV7QLSLX4PNVJO4GC3","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":"e52a7aa804018e9aeae47c767465ebc0fad5994438378fa78e19bf145f195a61","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-31T15:32:40Z","title_canon_sha256":"fa69ad71f8c3350447a990456beea0b537e51e7ad37f05a2413726ae048f1b3e"},"schema_version":"1.0","source":{"id":"1108.6269","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.6269","created_at":"2026-05-18T03:47:53Z"},{"alias_kind":"arxiv_version","alias_value":"1108.6269v2","created_at":"2026-05-18T03:47:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.6269","created_at":"2026-05-18T03:47:53Z"},{"alias_kind":"pith_short_12","alias_value":"6W2BRGXYFV7Q","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6W2BRGXYFV7QLSLX","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6W2BRGXY","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:21ab1d1954f4a5c6ef4136670ca9f7a5d286783d5d12708efe9fc6c624728dde","target":"graph","created_at":"2026-05-18T03:47:53Z","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 analytically the Ising model coupled to random lattices in dimension three and higher. The family of random lattices we use is generated by the large N limit of a colored tensor model generalizing the two-matrix model for Ising spins on random surfaces. We show that, in the continuum limit, the spin system does not exhibit a phase transition at finite temperature, in agreement with numerical investigations. Furthermore we outline a general method to study critical behavior in colored tensor models.","authors_text":"Razvan Gurau, Valentin Bonzom, Vincent Rivasseau","cross_cats":["cond-mat.stat-mech","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-31T15:32:40Z","title":"The Ising Model on Random Lattices in Arbitrary Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.6269","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:dc2d727b5e1d0432da42f12ce7cafe52312112daa23049de47c8ddd587cb354d","target":"record","created_at":"2026-05-18T03:47:53Z","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":"e52a7aa804018e9aeae47c767465ebc0fad5994438378fa78e19bf145f195a61","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-31T15:32:40Z","title_canon_sha256":"fa69ad71f8c3350447a990456beea0b537e51e7ad37f05a2413726ae048f1b3e"},"schema_version":"1.0","source":{"id":"1108.6269","kind":"arxiv","version":2}},"canonical_sha256":"f5b4189af82d7f05c977e3db54bb8616f2d55f5608d5c3745ad0e78a02c3f845","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5b4189af82d7f05c977e3db54bb8616f2d55f5608d5c3745ad0e78a02c3f845","first_computed_at":"2026-05-18T03:47:53.896234Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:47:53.896234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1568rNH0FLioW4zGAlglHuPn8FGNWc1qz/7s+u3w8eGrtcq6CwMwbzcTSFzVgKR9uaVxMLwg7mEMquHL/6EvBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:47:53.896738Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.6269","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc2d727b5e1d0432da42f12ce7cafe52312112daa23049de47c8ddd587cb354d","sha256:21ab1d1954f4a5c6ef4136670ca9f7a5d286783d5d12708efe9fc6c624728dde"],"state_sha256":"6fd64c0f7c1087d6b379a9ec23fd2b4fdf1f376fac44434c87b0b1a72d648ec2"}