{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TNQ6B3UZOLFS6ICG6ZYSN3WAGN","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":"03233a293f2e3ae22cd348a93d2947d4a6419013f95fadb04bb0d412794bc243","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-08T13:10:31Z","title_canon_sha256":"295cb0bce2c47479c31a3a49967e5a0d64cd819cf2603f21167ad22d577ace7b"},"schema_version":"1.0","source":{"id":"1510.02304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02304","created_at":"2026-05-18T00:55:14Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02304v1","created_at":"2026-05-18T00:55:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02304","created_at":"2026-05-18T00:55:14Z"},{"alias_kind":"pith_short_12","alias_value":"TNQ6B3UZOLFS","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TNQ6B3UZOLFS6ICG","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TNQ6B3UZ","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:2d286c413d772c686eeeb075ef4c1509186652696bcf8e715be57c27ca7a42d7","target":"graph","created_at":"2026-05-18T00:55:14Z","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":"Isometric fluctuation relations are deduced for the fluctuations of the order parameter in equilibrium systems of condensed-matter physics with broken discrete or continuous symmetries. These relations are similar to their analogues obtained for non-equilibrium systems where the broken symmetry is time reversal. At equilibrium, these relations show that the ratio of the probabilities of opposite fluctuations goes exponentially with the symmetry-breaking external field and the magnitude of the fluctuations. These relations are applied to the Curie-Weiss, Heisenberg, and $XY$~models of magnetism","authors_text":"David Lacoste, Pierre Gaspard","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-08T13:10:31Z","title":"Fluctuation relations for equilibrium states with broken discrete or continuous symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02304","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":"sha256:7c259da793227dc36abea426f328d3cb48cc4df1b89c2772d29e87bd94ab5d38","target":"record","created_at":"2026-05-18T00:55:14Z","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":"03233a293f2e3ae22cd348a93d2947d4a6419013f95fadb04bb0d412794bc243","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-08T13:10:31Z","title_canon_sha256":"295cb0bce2c47479c31a3a49967e5a0d64cd819cf2603f21167ad22d577ace7b"},"schema_version":"1.0","source":{"id":"1510.02304","kind":"arxiv","version":1}},"canonical_sha256":"9b61e0ee9972cb2f2046f67126eec0334baee520b821dc924ef80ec4a29e0a9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b61e0ee9972cb2f2046f67126eec0334baee520b821dc924ef80ec4a29e0a9f","first_computed_at":"2026-05-18T00:55:14.414783Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:14.414783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jcJvTAEk42wnq9CmoShvFZooe7oRw/p1vEwapKdcvudQhRWGMrBwhl0ZqLO36QGttE6luya0qOujsmBkmiVPBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:14.415206Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c259da793227dc36abea426f328d3cb48cc4df1b89c2772d29e87bd94ab5d38","sha256:2d286c413d772c686eeeb075ef4c1509186652696bcf8e715be57c27ca7a42d7"],"state_sha256":"abaf367bfe03fc14aa5e5d58946180376b9a22fad0627f400e3f2f1fb919c10d"}