{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:O3F6OOLIXFLWFXBG2WG572CL4V","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":"41cdd5e3a42d6427cab92ff35c3e382daca69166060dd02c44c0a6d8d4f46a41","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-01T12:18:57Z","title_canon_sha256":"c64e6c23f9c5cf88a65d345cbaa58a2494323eb0dcec3d60a36d54cff7085b28"},"schema_version":"1.0","source":{"id":"1210.0364","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0364","created_at":"2026-05-18T03:44:22Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0364v1","created_at":"2026-05-18T03:44:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0364","created_at":"2026-05-18T03:44:22Z"},{"alias_kind":"pith_short_12","alias_value":"O3F6OOLIXFLW","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"O3F6OOLIXFLWFXBG","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"O3F6OOLI","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:2e972dbd63696bc113574698254525434379824188eb9173e9346fccc2d56f8e","target":"graph","created_at":"2026-05-18T03:44:22Z","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 present some aspects of the fidelity approach to phase transitions based on lower and upper bounds on the fidelity susceptibility that are expressed in terms of thermodynamic quantities. Both commutative and non commutative cases are considered. In the commutative case, in addition, a relation between the fidelity and the nonequilibrium work done on the system in a process from an equilibrium initial state to an equilibrium final state has been obtained by using the Jarzynski equality.","authors_text":"J. G. Brankov, N. S. Tonchev","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-01T12:18:57Z","title":"Some inequalities in the fidelity approach to phase transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0364","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:a8cde4423ac1d2aab3a7c215319abb8289b13eb2c2b7becd25ec74a5f7f2b314","target":"record","created_at":"2026-05-18T03:44:22Z","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":"41cdd5e3a42d6427cab92ff35c3e382daca69166060dd02c44c0a6d8d4f46a41","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-01T12:18:57Z","title_canon_sha256":"c64e6c23f9c5cf88a65d345cbaa58a2494323eb0dcec3d60a36d54cff7085b28"},"schema_version":"1.0","source":{"id":"1210.0364","kind":"arxiv","version":1}},"canonical_sha256":"76cbe73968b95762dc26d58ddfe84be5750c0b735ad5832209d97a41957525d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76cbe73968b95762dc26d58ddfe84be5750c0b735ad5832209d97a41957525d8","first_computed_at":"2026-05-18T03:44:22.624834Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:22.624834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zPddex7VCScG9+gylR4tV42D7hXWrpApAB3gwC3pvytC6gc2Q9P/OUScXystsKrgHFjfT6wHsAzt/pG/FAxLBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:22.625517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.0364","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8cde4423ac1d2aab3a7c215319abb8289b13eb2c2b7becd25ec74a5f7f2b314","sha256:2e972dbd63696bc113574698254525434379824188eb9173e9346fccc2d56f8e"],"state_sha256":"90733cfd1e8796a0317373e3f32d122de484ae50d342765e39e5fe2ffe34287b"}