{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:L6AFGHJPEBWQOFO6HQEXZFXAFT","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":"7f997f365a7704e39853185d14a05be58b3ba7b47a064acf09a166ab6a60690e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-05-17T09:32:42Z","title_canon_sha256":"5e25bdac0824017785a95cd34fb681ddbf13dd332914f3b786c2740f7286efba"},"schema_version":"1.0","source":{"id":"1605.05072","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05072","created_at":"2026-05-18T01:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05072v1","created_at":"2026-05-18T01:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05072","created_at":"2026-05-18T01:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"L6AFGHJPEBWQ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"L6AFGHJPEBWQOFO6","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"L6AFGHJP","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:a129c6d39ad9b4552e02617666b54163fb25c2d01319a4ade35b5e6430cd3b9e","target":"graph","created_at":"2026-05-18T01:12:54Z","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":"By performing a high-statistics simulation of the $D=4$ random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high accuracy the complete set of critical exponents for this class, including the correction-to-scaling exponent. Our results indicate that in four dimensions: (i) dimensional reduction as predicted by the perturbative renormalization group does not hold and (ii) three independent critical exponents are needed to described the transition.","authors_text":"Marco Picco, Nicolas Sourlas, Nikolaos G. Fytas, Victor Martin-Mayor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-05-17T09:32:42Z","title":"Phase transitions in disordered systems: the example of the random-field Ising model in four dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05072","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:ec473c12a726a2140a005832cb8e9493dc2a774d4734d5ac7969cec40058b7d8","target":"record","created_at":"2026-05-18T01:12:54Z","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":"7f997f365a7704e39853185d14a05be58b3ba7b47a064acf09a166ab6a60690e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-05-17T09:32:42Z","title_canon_sha256":"5e25bdac0824017785a95cd34fb681ddbf13dd332914f3b786c2740f7286efba"},"schema_version":"1.0","source":{"id":"1605.05072","kind":"arxiv","version":1}},"canonical_sha256":"5f80531d2f206d0715de3c097c96e02cdaf7332dd2e652799b114fbb23246a7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f80531d2f206d0715de3c097c96e02cdaf7332dd2e652799b114fbb23246a7f","first_computed_at":"2026-05-18T01:12:54.649837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:54.649837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vosynT0Hd50H5KHGKhzbz/8RFGd5tcvlJHz99D8+NSIwWhux+CjlmqfkWbZMfmWaiyEIkcUmbmB6l+hUjIO0BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:54.650218Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05072","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec473c12a726a2140a005832cb8e9493dc2a774d4734d5ac7969cec40058b7d8","sha256:a129c6d39ad9b4552e02617666b54163fb25c2d01319a4ade35b5e6430cd3b9e"],"state_sha256":"5c227e00ac11ac81c3e0537f25c0180cc49363cadeb7c3c4bb7a6cc1c5c8b533"}