{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HOXEFKSNMSYRISNLGFTAWIAMLL","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":"5614fb93545a8ddb87e816c5e473b2dd056c2ae8d623c1b9b0398589b6dfa548","cross_cats_sorted":["cond-mat.stat-mech","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-02T21:00:15Z","title_canon_sha256":"95d07343d0eb9b57df54fe1d0d75bfcf7fdfa1277357ae3c8bc377dfdc9decda"},"schema_version":"1.0","source":{"id":"1503.00729","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00729","created_at":"2026-05-18T00:17:13Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00729v2","created_at":"2026-05-18T00:17:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00729","created_at":"2026-05-18T00:17:13Z"},{"alias_kind":"pith_short_12","alias_value":"HOXEFKSNMSYR","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HOXEFKSNMSYRISNL","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HOXEFKSN","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:41566b4da36cc82339e80ba7f85d71fce78903223e0fe903702425812801138f","target":"graph","created_at":"2026-05-18T00:17:13Z","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":"The Eigenstate Thermalization Hypothesis (ETH) posits that the reduced density matrix for a subsystem corresponding to an excited eigenstate is \"thermal.\" Here we expound on this hypothesis by asking: for which class of operators, local or non-local, is ETH satisfied? We show that this question is directly related to a seemingly unrelated question: is the Hamiltonian of a system encoded within a single eigenstate? We formulate a strong form of ETH where in the thermodynamic limit, the reduced density matrix of a subsystem corresponding to a pure, finite energy density eigenstate asymptotically","authors_text":"James R. Garrison, Tarun Grover","cross_cats":["cond-mat.stat-mech","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-02T21:00:15Z","title":"Does a single eigenstate encode the full Hamiltonian?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00729","kind":"arxiv","version":2},"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:ab53a624a092441292585043418ac5615239a94be959410dda7e54c0ea7fc3d5","target":"record","created_at":"2026-05-18T00:17:13Z","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":"5614fb93545a8ddb87e816c5e473b2dd056c2ae8d623c1b9b0398589b6dfa548","cross_cats_sorted":["cond-mat.stat-mech","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-02T21:00:15Z","title_canon_sha256":"95d07343d0eb9b57df54fe1d0d75bfcf7fdfa1277357ae3c8bc377dfdc9decda"},"schema_version":"1.0","source":{"id":"1503.00729","kind":"arxiv","version":2}},"canonical_sha256":"3bae42aa4d64b11449ab31660b200c5ace90db45d2d93557b9668a5312551ef0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bae42aa4d64b11449ab31660b200c5ace90db45d2d93557b9668a5312551ef0","first_computed_at":"2026-05-18T00:17:13.774877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:13.774877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hi7osPEIyOimvSUeSqguaYFAwbISgT6D0RWmouH8Y5gejaa+5HiNh8crgGivAwdnHWIWhE06w4v7aAl1grjTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:13.775666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.00729","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab53a624a092441292585043418ac5615239a94be959410dda7e54c0ea7fc3d5","sha256:41566b4da36cc82339e80ba7f85d71fce78903223e0fe903702425812801138f"],"state_sha256":"058ef6741d257649ae13d763eb5c796b9689d525bed1ed5c430a1396199a81c3"}