{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:L4KXTUZHAVBSEMRGQWPRCNNQA4","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":"a3929e714d240fdc51e53c9509db724b6846b5a7f01c99d660e0fbf49ba11138","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-01-02T13:25:20Z","title_canon_sha256":"b8657cf67523889d87fde9bc20f29a03dedcd232cfecff9b8464c6f63a8ba2fa"},"schema_version":"1.0","source":{"id":"cond-mat/0101013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0101013","created_at":"2026-05-18T00:05:24Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0101013v1","created_at":"2026-05-18T00:05:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0101013","created_at":"2026-05-18T00:05:24Z"},{"alias_kind":"pith_short_12","alias_value":"L4KXTUZHAVBS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"L4KXTUZHAVBSEMRG","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"L4KXTUZH","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:96f19de9967ef741e6c612fba30c825a257f297ec8f8390d5a527cd80566e3e9","target":"graph","created_at":"2026-05-18T00:05:24Z","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":"Random Ising systems on a general hierarchical lattice with both, random fields and random bonds, are considered. Rigorous inequalities between eigenvalues of the Jacobian renormalization matrix at the pure fixed point are obtained. These inequalities lead to upper bounds on the crossover exponents $\\{\\phi_i\\}$.","authors_text":"Avishay Efrat, Moshe Schwartz","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-01-02T13:25:20Z","title":"Random field Ising systems on a general hierarchical lattice: Rigorous inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0101013","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:d9814eb6d9774f35586f4750d52c46a7f36a19dcf07ff563bd82acd7ccf355d9","target":"record","created_at":"2026-05-18T00:05:24Z","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":"a3929e714d240fdc51e53c9509db724b6846b5a7f01c99d660e0fbf49ba11138","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-01-02T13:25:20Z","title_canon_sha256":"b8657cf67523889d87fde9bc20f29a03dedcd232cfecff9b8464c6f63a8ba2fa"},"schema_version":"1.0","source":{"id":"cond-mat/0101013","kind":"arxiv","version":1}},"canonical_sha256":"5f1579d3270543223226859f1135b0071bed0f45ddfd6b21097229f78dbfa521","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f1579d3270543223226859f1135b0071bed0f45ddfd6b21097229f78dbfa521","first_computed_at":"2026-05-18T00:05:24.518397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:24.518397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BQC1exhKhdkEAbnMkHjzj05R1fw/MuuA7X0giXuN9yCWuvgnzuYQjCcjxw6C6TgeA+pqf/nHc1kFUkXeSQHIBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:24.518948Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0101013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9814eb6d9774f35586f4750d52c46a7f36a19dcf07ff563bd82acd7ccf355d9","sha256:96f19de9967ef741e6c612fba30c825a257f297ec8f8390d5a527cd80566e3e9"],"state_sha256":"31cc5bbde588270105609e6f9556b8ac42cea5905410c96ea7bd6f8dad2b0086"}