{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:D2IPH7BCLG2HHD3WW2UPJ6HRZY","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":"54f59e29c6e15b11768d2613f33c89d388d5209bbf64451fe7f735f859137653","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-08-03T18:00:01Z","title_canon_sha256":"95439104349b3e9401d1dceec563301d58f713bd495dcba35ae7e8b09afacc8e"},"schema_version":"1.0","source":{"id":"2008.01085","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.01085","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"arxiv_version","alias_value":"2008.01085v2","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.01085","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"pith_short_12","alias_value":"D2IPH7BCLG2H","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"pith_short_16","alias_value":"D2IPH7BCLG2HHD3W","created_at":"2026-07-05T01:57:19Z"},{"alias_kind":"pith_short_8","alias_value":"D2IPH7BC","created_at":"2026-07-05T01:57:19Z"}],"graph_snapshots":[{"event_id":"sha256:0f8d27107f4eb7357b50fc4d841a2755b937a171dfc7b6b003fcfa14963c129c","target":"graph","created_at":"2026-07-05T01:57:19Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.01085/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the off-diagonal matrix elements of observables that break the translational symmetry of a spin-chain Hamiltonian, and as such connect energy eigenstates from different total quasimomentum sectors. We consider quantum-chaotic and interacting integrable points of the Hamiltonian, and focus on average energies at the center of the spectrum. In the quantum-chaotic model, we find that there is eigenstate thermalization; specifically, the matrix elements are Gaussian distributed with a variance that is a smooth function of $\\omega=E_{\\alpha}-E_{\\beta}$ ({$E_{\\alpha}$} are the eigenenergies","authors_text":"Marcos Rigol, Tyler LeBlond","cross_cats":["cond-mat.quant-gas","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-08-03T18:00:01Z","title":"Eigenstate thermalization for observables that break Hamiltonian symmetries and its counterpart in interacting integrable systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.01085","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":"sha256:8afcb50b2071c729f95650a2481f3bb7cbc9c16e11c7ad6daa80c09acd0472e1","target":"record","created_at":"2026-07-05T01:57:19Z","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":"54f59e29c6e15b11768d2613f33c89d388d5209bbf64451fe7f735f859137653","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-08-03T18:00:01Z","title_canon_sha256":"95439104349b3e9401d1dceec563301d58f713bd495dcba35ae7e8b09afacc8e"},"schema_version":"1.0","source":{"id":"2008.01085","kind":"arxiv","version":2}},"canonical_sha256":"1e90f3fc2259b4738f76b6a8f4f8f1ce1529f63c7c709b7b7d47c11a1a3864f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e90f3fc2259b4738f76b6a8f4f8f1ce1529f63c7c709b7b7d47c11a1a3864f2","first_computed_at":"2026-07-05T01:57:19.097067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:57:19.097067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FhEXtcCLLfrpE/RnU2AOaAoBuuKGlfF8zR9exfvBLE78265eE5zoYzKpJNVST6xb+aevx5OOzbg9C9wqokM+BA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:57:19.097504Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.01085","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8afcb50b2071c729f95650a2481f3bb7cbc9c16e11c7ad6daa80c09acd0472e1","sha256:0f8d27107f4eb7357b50fc4d841a2755b937a171dfc7b6b003fcfa14963c129c"],"state_sha256":"ec28c8bd5f5a6574831180b7c78c3968b46dcd16c657a225de03ce3638f08fb7"}