{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XREG5VGTPRSZXYG4ZRF2QKCU33","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":"cfa0a6811c5de3e38de27600c7d04f38269b3e94f4a5c2215b83ea33642dbdbd","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-06-19T22:11:32Z","title_canon_sha256":"442f67d1f31adc8e8de33e9aaa61c5339713aceeaefec19e83977a764d059a21"},"schema_version":"1.0","source":{"id":"1106.3786","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3786","created_at":"2026-05-18T04:19:42Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3786v1","created_at":"2026-05-18T04:19:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3786","created_at":"2026-05-18T04:19:42Z"},{"alias_kind":"pith_short_12","alias_value":"XREG5VGTPRSZ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XREG5VGTPRSZXYG4","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XREG5VGT","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:92102ea074037f097bab7903f49fb709936674002b54bc4d7c09c4fddf10cb40","target":"graph","created_at":"2026-05-18T04:19:42Z","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":"These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.","authors_text":"Claude-Alain Pillet, Vojkan Jaksic, Yan Pautrat, Yoshiko Ogata","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-06-19T22:11:32Z","title":"Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3786","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":"sha256:47071991076810cafc60502b5cc154f28dcfc2279c9156ee0ee411bfc60538ae","target":"record","created_at":"2026-05-18T04:19:42Z","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":"cfa0a6811c5de3e38de27600c7d04f38269b3e94f4a5c2215b83ea33642dbdbd","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-06-19T22:11:32Z","title_canon_sha256":"442f67d1f31adc8e8de33e9aaa61c5339713aceeaefec19e83977a764d059a21"},"schema_version":"1.0","source":{"id":"1106.3786","kind":"arxiv","version":1}},"canonical_sha256":"bc486ed4d37c659be0dccc4ba82854defc252ba47362fe3ef1d3e1f7352c760b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc486ed4d37c659be0dccc4ba82854defc252ba47362fe3ef1d3e1f7352c760b","first_computed_at":"2026-05-18T04:19:42.152982Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:42.152982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h1dHFLzhWi2WfA/WcsWQGPogWe00D/w/Ex8EZ7p1nonHbrOX1H07gQdEwj5m29aDSzyX5s0kCCDU9v57nvZ+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:42.153750Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.3786","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47071991076810cafc60502b5cc154f28dcfc2279c9156ee0ee411bfc60538ae","sha256:92102ea074037f097bab7903f49fb709936674002b54bc4d7c09c4fddf10cb40"],"state_sha256":"cfd29ba054394e88def3d1fa25a93decbc3514a5a28e2db6a979c0ff5220e02c"}