{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OBAIOMI7NO3WRGVPB2EYE47MBU","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":"f5716bb97cffdbca0f92175dd5e03b7ae0f15e9552b54d4a8cde8b65d13a7dfd","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-24T18:37:36Z","title_canon_sha256":"ff5d24eea57d173f1187e130393399f1ff0d9e609e8c58d7df5feefb2dcddfa5"},"schema_version":"1.0","source":{"id":"1506.07494","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07494","created_at":"2026-05-18T01:33:42Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07494v1","created_at":"2026-05-18T01:33:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07494","created_at":"2026-05-18T01:33:42Z"},{"alias_kind":"pith_short_12","alias_value":"OBAIOMI7NO3W","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OBAIOMI7NO3WRGVP","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OBAIOMI7","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:7e8f9b60ae38515099f4c9c7907e334ee3c9d96beccf7d042132646b78873d6b","target":"graph","created_at":"2026-05-18T01:33:42Z","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 consider the notion of thermal equilibrium for an individual closed macroscopic quantum system in a pure state, i.e., described by a wave function. The macroscopic properties in thermal equilibrium of such a system, determined by its wave function, must be the same as those obtained from thermodynamics, e.g., spatial uniformity of temperature and chemical potential. When this is true we say that the system is in macroscopic thermal equilibrium (MATE). Such a system may however not be in microscopic thermal equilibrium (MITE). The latter requires that the reduced density matrices of small su","authors_text":"David A. Huse, Joel L. Lebowitz, Roderich Tumulka, Sheldon Goldstein","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-24T18:37:36Z","title":"Thermal equilibrium of a macroscopic quantum system in a pure state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07494","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":"sha256:5f0ec3f4c396b1e65e4995add47ba85fe7d0d8b86daeb3761b758cb368d135c4","target":"record","created_at":"2026-05-18T01:33:42Z","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":"f5716bb97cffdbca0f92175dd5e03b7ae0f15e9552b54d4a8cde8b65d13a7dfd","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-24T18:37:36Z","title_canon_sha256":"ff5d24eea57d173f1187e130393399f1ff0d9e609e8c58d7df5feefb2dcddfa5"},"schema_version":"1.0","source":{"id":"1506.07494","kind":"arxiv","version":1}},"canonical_sha256":"704087311f6bb7689aaf0e898273ec0d2707ac1d2e3dc390c289743c127e52a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"704087311f6bb7689aaf0e898273ec0d2707ac1d2e3dc390c289743c127e52a9","first_computed_at":"2026-05-18T01:33:42.753312Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:42.753312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"daMXMB7uct68NX51CLDcBrGVfvO1Hymo6sHBpaQk9gU1J7L48ud/0jZaW7L7DAGTaWVySaqX5ZfKulK70AKeBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:42.753872Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07494","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f0ec3f4c396b1e65e4995add47ba85fe7d0d8b86daeb3761b758cb368d135c4","sha256:7e8f9b60ae38515099f4c9c7907e334ee3c9d96beccf7d042132646b78873d6b"],"state_sha256":"5c8f97090c379a81cc6268d2c47117777e59f60fe46ca3bcc11b9b891174102d"}