{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:F6JOWHK5LIJ2ASBTMSV5EWM5AX","short_pith_number":"pith:F6JOWHK5","canonical_record":{"source":{"id":"1107.1018","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-06T03:09:43Z","cross_cats_sorted":[],"title_canon_sha256":"b77d2398f9ea237dc82294ae1451db9b68bd806bdfd5e603c21959b6e0c9cef3","abstract_canon_sha256":"5341b8654ba7d414ef1c03479851775e691ce28dbec51fa2a2dc79bc50785332"},"schema_version":"1.0"},"canonical_sha256":"2f92eb1d5d5a13a0483364abd2599d05d5b0315214ef096312a3f6c52b38384a","source":{"kind":"arxiv","id":"1107.1018","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1018","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1018v1","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1018","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"F6JOWHK5LIJ2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"F6JOWHK5LIJ2ASBT","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"F6JOWHK5","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:F6JOWHK5LIJ2ASBTMSV5EWM5AX","target":"record","payload":{"canonical_record":{"source":{"id":"1107.1018","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-06T03:09:43Z","cross_cats_sorted":[],"title_canon_sha256":"b77d2398f9ea237dc82294ae1451db9b68bd806bdfd5e603c21959b6e0c9cef3","abstract_canon_sha256":"5341b8654ba7d414ef1c03479851775e691ce28dbec51fa2a2dc79bc50785332"},"schema_version":"1.0"},"canonical_sha256":"2f92eb1d5d5a13a0483364abd2599d05d5b0315214ef096312a3f6c52b38384a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:24.372578Z","signature_b64":"zbUxINKs0vqreA+9WJBuElNQPJQlGGQP+9PO3XVbQS95HGU/36ZVgs0SJg3TGIdRjfsp4/ehZ72drvm3NLm+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f92eb1d5d5a13a0483364abd2599d05d5b0315214ef096312a3f6c52b38384a","last_reissued_at":"2026-05-18T02:01:24.371989Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:24.371989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.1018","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uObvqcp+JIiJ0kLmMP8rHwW3jjf7EXn3TYJIx/6L8nkJfQyVMtqvV/bxoNo/NN5WoDiQXVT3nKPjOY9spgAlBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T16:56:32.660431Z"},"content_sha256":"f58c4867aed42865f9a9cee0976c54b3ef925fdcb95c8163ca47cad22f2e436c","schema_version":"1.0","event_id":"sha256:f58c4867aed42865f9a9cee0976c54b3ef925fdcb95c8163ca47cad22f2e436c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:F6JOWHK5LIJ2ASBTMSV5EWM5AX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relaxation to equilibrium of expectation values in macroscopic quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Takaaki Monnai","submitted_at":"2011-07-06T03:09:43Z","abstract_excerpt":"A quantum mechanical explanation of the relaxation to equilibrium is shown for macroscopic systems for nonintegrable cases and numerically verified. The macroscopic system is initially in an equilibrium state, subsequently externally perturbed during a finite time, and then isolated for a sufficiently long time. We show a quantitative explanation that the initial microcanonical state typically reaches to a state whose expectation values are well-approximated by the average over another microcanonical ensemble."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1018","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QLtpgc7eLHNfFiMXeYgW2qSMifha2xa++Y31Fo9S46sRaMUAP7AArCmELJmFGkjLaEx1B7UcRuMfGrb4J7WeBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T16:56:32.660770Z"},"content_sha256":"4cecbdbfb33f9b5590bb88f6aa28f8e869033df7448d03a9cdcf73ebb0573e45","schema_version":"1.0","event_id":"sha256:4cecbdbfb33f9b5590bb88f6aa28f8e869033df7448d03a9cdcf73ebb0573e45"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F6JOWHK5LIJ2ASBTMSV5EWM5AX/bundle.json","state_url":"https://pith.science/pith/F6JOWHK5LIJ2ASBTMSV5EWM5AX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F6JOWHK5LIJ2ASBTMSV5EWM5AX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-19T16:56:32Z","links":{"resolver":"https://pith.science/pith/F6JOWHK5LIJ2ASBTMSV5EWM5AX","bundle":"https://pith.science/pith/F6JOWHK5LIJ2ASBTMSV5EWM5AX/bundle.json","state":"https://pith.science/pith/F6JOWHK5LIJ2ASBTMSV5EWM5AX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F6JOWHK5LIJ2ASBTMSV5EWM5AX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:F6JOWHK5LIJ2ASBTMSV5EWM5AX","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":"5341b8654ba7d414ef1c03479851775e691ce28dbec51fa2a2dc79bc50785332","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-06T03:09:43Z","title_canon_sha256":"b77d2398f9ea237dc82294ae1451db9b68bd806bdfd5e603c21959b6e0c9cef3"},"schema_version":"1.0","source":{"id":"1107.1018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1018","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1018v1","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1018","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"F6JOWHK5LIJ2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"F6JOWHK5LIJ2ASBT","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"F6JOWHK5","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:4cecbdbfb33f9b5590bb88f6aa28f8e869033df7448d03a9cdcf73ebb0573e45","target":"graph","created_at":"2026-05-18T02:01:24Z","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":"A quantum mechanical explanation of the relaxation to equilibrium is shown for macroscopic systems for nonintegrable cases and numerically verified. The macroscopic system is initially in an equilibrium state, subsequently externally perturbed during a finite time, and then isolated for a sufficiently long time. We show a quantitative explanation that the initial microcanonical state typically reaches to a state whose expectation values are well-approximated by the average over another microcanonical ensemble.","authors_text":"Takaaki Monnai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-06T03:09:43Z","title":"Relaxation to equilibrium of expectation values in macroscopic quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1018","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:f58c4867aed42865f9a9cee0976c54b3ef925fdcb95c8163ca47cad22f2e436c","target":"record","created_at":"2026-05-18T02:01:24Z","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":"5341b8654ba7d414ef1c03479851775e691ce28dbec51fa2a2dc79bc50785332","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-06T03:09:43Z","title_canon_sha256":"b77d2398f9ea237dc82294ae1451db9b68bd806bdfd5e603c21959b6e0c9cef3"},"schema_version":"1.0","source":{"id":"1107.1018","kind":"arxiv","version":1}},"canonical_sha256":"2f92eb1d5d5a13a0483364abd2599d05d5b0315214ef096312a3f6c52b38384a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f92eb1d5d5a13a0483364abd2599d05d5b0315214ef096312a3f6c52b38384a","first_computed_at":"2026-05-18T02:01:24.371989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:24.371989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zbUxINKs0vqreA+9WJBuElNQPJQlGGQP+9PO3XVbQS95HGU/36ZVgs0SJg3TGIdRjfsp4/ehZ72drvm3NLm+Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:24.372578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f58c4867aed42865f9a9cee0976c54b3ef925fdcb95c8163ca47cad22f2e436c","sha256:4cecbdbfb33f9b5590bb88f6aa28f8e869033df7448d03a9cdcf73ebb0573e45"],"state_sha256":"d2db11df5f9ae504a2e6e7d1577bbfc41e0481ce13b6c818d82fad29e715e6f9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AjNXualswhQ1m6e61bh3RA3esiqF4oUd/wumvRhHhzS+icAQFR93keUB5RlCgrGTaAnmhjQ5ymMFljePdmnyDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T16:56:32.663723Z","bundle_sha256":"f9a723cb268fbc6e5468ab4ccbd91a508d13fabe5cd71e810f4a177760473773"}}