{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PJW4ZTOFHE7AENDHSC7WEW4AKA","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":"ac0cc6794558bc36d1176c4939680a163ffaf5d6195d7c89275736cd772dfbe1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-11-30T07:40:48Z","title_canon_sha256":"429525b1c298ed89a4ad413e220b083a6e250d7dd96e2559f2f0f3d4eb76c722"},"schema_version":"1.0","source":{"id":"1111.7074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.7074","created_at":"2026-05-18T04:07:18Z"},{"alias_kind":"arxiv_version","alias_value":"1111.7074v1","created_at":"2026-05-18T04:07:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.7074","created_at":"2026-05-18T04:07:18Z"},{"alias_kind":"pith_short_12","alias_value":"PJW4ZTOFHE7A","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PJW4ZTOFHE7AENDH","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PJW4ZTOF","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:cb7506f8ba40f16846b99777685cd34bc2aa6c3a81c252119fb00d18cdecb110","target":"graph","created_at":"2026-05-18T04:07:18Z","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 evaluate the relaxation time to equilibrium, and especially show that it is almost independent from the system size for macroscopic isolated quantum systems. It at most polynomially depends on the system size. This estimation holds when the Hamiltonian is non-integrable, the initial deviation of the quantity of interest is of order its spectral norm, and the relaxation process is monotonic.","authors_text":"Takaaki Monnai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-11-30T07:40:48Z","title":"Generic evaluation of the relaxation time to equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.7074","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:efecfb2a8c976513a163d37140d78561da71b35f5509cdf21aa2a067df49ebe5","target":"record","created_at":"2026-05-18T04:07:18Z","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":"ac0cc6794558bc36d1176c4939680a163ffaf5d6195d7c89275736cd772dfbe1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-11-30T07:40:48Z","title_canon_sha256":"429525b1c298ed89a4ad413e220b083a6e250d7dd96e2559f2f0f3d4eb76c722"},"schema_version":"1.0","source":{"id":"1111.7074","kind":"arxiv","version":1}},"canonical_sha256":"7a6dcccdc5393e02346790bf625b805002c69c37e302943fffec50c9cf4021dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a6dcccdc5393e02346790bf625b805002c69c37e302943fffec50c9cf4021dd","first_computed_at":"2026-05-18T04:07:18.893783Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:18.893783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QKD8VBYnXo1oUF2DRRka/lysLkeO8nLXNVxIiCgIuJ1Bjrqo+hhi5T5QXdZSiYtadsAfzkvjRMynFZwEXzUrCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:18.894327Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.7074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efecfb2a8c976513a163d37140d78561da71b35f5509cdf21aa2a067df49ebe5","sha256:cb7506f8ba40f16846b99777685cd34bc2aa6c3a81c252119fb00d18cdecb110"],"state_sha256":"d6ff3c96c2d0ac826c6fe026393cf0bc2a81d1f533750ee47a4ee2089d0b59cb"}