{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:IBN7ZRALOCDPNMIJFJQVBSKNYY","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":"860746364a114f5b1219d1330b1aa74a3490fee849f30fdfbb5a12e71e21b6dd","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-02-07T11:35:54Z","title_canon_sha256":"639716a3f5280ae688def0103b56a1fd1e65a68723cac6bd973a5d3e9077aef2"},"schema_version":"1.0","source":{"id":"cond-mat/0302143","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0302143","created_at":"2026-05-18T02:54:14Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0302143v2","created_at":"2026-05-18T02:54:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0302143","created_at":"2026-05-18T02:54:14Z"},{"alias_kind":"pith_short_12","alias_value":"IBN7ZRALOCDP","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"IBN7ZRALOCDPNMIJ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"IBN7ZRAL","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:ca4eacccef81e5fc587fc2f3001ec8a199118d1b65f3a5076b05b5a89e12f485","target":"graph","created_at":"2026-05-18T02:54:14Z","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":"Extending the usual Ginzburg-Landau theory for the random-field Ising model, the possibility of dimensional reduction is reconsidered. A renormalization group for the probability distribution of magnetic impurities is applied. New parameters corresponding to the extra $\\phi^4$ coupling constants in the replica Hamiltonian are introduced. Although they do not affect the critical phenomena near the upper critical dimension, they can when dimensions are lowered.","authors_text":"Hisamitsu Mukaida, Yoshinori Sakamoto","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-02-07T11:35:54Z","title":"Renormalization group for the probability distribution of magnetic impurities in a random-field $\\phi^4$ model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0302143","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":"sha256:450800849bc5148b158deb380427977df977462af415e1511f07b445415b4aec","target":"record","created_at":"2026-05-18T02:54:14Z","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":"860746364a114f5b1219d1330b1aa74a3490fee849f30fdfbb5a12e71e21b6dd","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-02-07T11:35:54Z","title_canon_sha256":"639716a3f5280ae688def0103b56a1fd1e65a68723cac6bd973a5d3e9077aef2"},"schema_version":"1.0","source":{"id":"cond-mat/0302143","kind":"arxiv","version":2}},"canonical_sha256":"405bfcc40b7086f6b1092a6150c94dc613e4781e68b6be3136000f0d367de519","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"405bfcc40b7086f6b1092a6150c94dc613e4781e68b6be3136000f0d367de519","first_computed_at":"2026-05-18T02:54:14.671671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:14.671671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tJCYksU2kI362UYQhovNqgXAdN9StKUyJsX4M59H76eP7F6JBeRaplqtNhdiFTbLV/hJqxVKU9CUQYc1gpykDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:14.672119Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0302143","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:450800849bc5148b158deb380427977df977462af415e1511f07b445415b4aec","sha256:ca4eacccef81e5fc587fc2f3001ec8a199118d1b65f3a5076b05b5a89e12f485"],"state_sha256":"3af955c705e6408147c217fd33284bb2eec1c825bd29157b31b8cda9e4258397"}