{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XUWRIC2H7UFTPDQ2NCFEQBJMIP","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":"55b15ae4661f3002372d89f1c0fd47a5b49caa5533a124c3c1393d8fae8c0ac4","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-01-04T08:02:20Z","title_canon_sha256":"0e347ef3af04cfae2034b1e6b7dd5fcd561f329395dd2f431757a1f90eb96b7c"},"schema_version":"1.0","source":{"id":"1301.0685","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0685","created_at":"2026-05-18T03:31:44Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0685v1","created_at":"2026-05-18T03:31:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0685","created_at":"2026-05-18T03:31:44Z"},{"alias_kind":"pith_short_12","alias_value":"XUWRIC2H7UFT","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XUWRIC2H7UFTPDQ2","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XUWRIC2H","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:d5c1a05196ff28b2c12863dcb3fdb8e68b72db31fc2fb7c743ce1f5b0626195c","target":"graph","created_at":"2026-05-18T03:31:44Z","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 investigate near the point of glass transition the expansion of the free energy corresponding to the generalized Sherrington--Kirkpatrick model with arbitrary diagonal operators U standing instead of Ising spins. We focus on the case when U is an operator with broken reflection symmetry. Such a consideration is important for understanding the behavior of spin-glass-like phases in a number of real physical systems, mainly in orientational glasses in mixed molecular crystals which present just the case. We build explicitly a full replica symmetry breaking (FRSB) solution of the equations for ","authors_text":"E.E. Tareyeva, N.M. Chtchelkatchev, T.I. Schelkacheva","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-01-04T08:02:20Z","title":"Orientational glass: full replica symmetry breaking in generalized spin glass-like models without reflection symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0685","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:bcacd135278a231410d1da9044d073e3dfadbc62f0f1130bfd0bda99765b6fe2","target":"record","created_at":"2026-05-18T03:31:44Z","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":"55b15ae4661f3002372d89f1c0fd47a5b49caa5533a124c3c1393d8fae8c0ac4","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-01-04T08:02:20Z","title_canon_sha256":"0e347ef3af04cfae2034b1e6b7dd5fcd561f329395dd2f431757a1f90eb96b7c"},"schema_version":"1.0","source":{"id":"1301.0685","kind":"arxiv","version":1}},"canonical_sha256":"bd2d140b47fd0b378e1a688a48052c43cf0c12c1a9d05d5f7b3c5ad1c7e91940","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd2d140b47fd0b378e1a688a48052c43cf0c12c1a9d05d5f7b3c5ad1c7e91940","first_computed_at":"2026-05-18T03:31:44.505405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:44.505405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AcI6BwVb8DTR7gh9tl6FtbbekdqUgTCTWKVi2E7Ka6nZ7tpFOwslB7B4xRN4ukX07it6ACvjgZLrQ8wKVdDSAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:44.506023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0685","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bcacd135278a231410d1da9044d073e3dfadbc62f0f1130bfd0bda99765b6fe2","sha256:d5c1a05196ff28b2c12863dcb3fdb8e68b72db31fc2fb7c743ce1f5b0626195c"],"state_sha256":"7aaa403a8883bcc34b6d94cf7878beb5450e300cede70bcad95513a38ee2788e"}