{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:W7BCNTRSOKZBO5QUYESX33HPHA","short_pith_number":"pith:W7BCNTRS","canonical_record":{"source":{"id":"1911.06292","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-11-14T18:29:18Z","cross_cats_sorted":["cond-mat.str-el","hep-th","quant-ph"],"title_canon_sha256":"dd626a13de897efbe57ccb6e33bfa88aed30a4642adfc17c2067305b98057a0a","abstract_canon_sha256":"30e55b86bc6edacc5442de065e2c71109509928b485548f4312dd7971125e339"},"schema_version":"1.0"},"canonical_sha256":"b7c226ce3272b2177614c1257decef38286969115b3271fe30d06b45775659ba","source":{"kind":"arxiv","id":"1911.06292","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.06292","created_at":"2026-07-05T00:19:16Z"},{"alias_kind":"arxiv_version","alias_value":"1911.06292v1","created_at":"2026-07-05T00:19:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.06292","created_at":"2026-07-05T00:19:16Z"},{"alias_kind":"pith_short_12","alias_value":"W7BCNTRSOKZB","created_at":"2026-07-05T00:19:16Z"},{"alias_kind":"pith_short_16","alias_value":"W7BCNTRSOKZBO5QU","created_at":"2026-07-05T00:19:16Z"},{"alias_kind":"pith_short_8","alias_value":"W7BCNTRS","created_at":"2026-07-05T00:19:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:W7BCNTRSOKZBO5QUYESX33HPHA","target":"record","payload":{"canonical_record":{"source":{"id":"1911.06292","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-11-14T18:29:18Z","cross_cats_sorted":["cond-mat.str-el","hep-th","quant-ph"],"title_canon_sha256":"dd626a13de897efbe57ccb6e33bfa88aed30a4642adfc17c2067305b98057a0a","abstract_canon_sha256":"30e55b86bc6edacc5442de065e2c71109509928b485548f4312dd7971125e339"},"schema_version":"1.0"},"canonical_sha256":"b7c226ce3272b2177614c1257decef38286969115b3271fe30d06b45775659ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:19:16.560383Z","signature_b64":"HFICPqvHhxgJKj9HiecCZwy867pFKquVN+FYLZsREvTbBnDKIZqXj+EbTCk8VQPj/2yNfNkTNfKkr30imI2GBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7c226ce3272b2177614c1257decef38286969115b3271fe30d06b45775659ba","last_reissued_at":"2026-07-05T00:19:16.559909Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:19:16.559909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1911.06292","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":"2026-07-05T00:19:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ArhYei9phlmKdPQch1qrL/8innGNrAGHhp6vckFYichmAqtIzHcKwqbRgy2luv2zyGc0I9zg9qcJFUYZTPICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T15:39:50.904211Z"},"content_sha256":"0540c1991c351e4ce64f5692cb6a7d5f922ef5f5a1f68f3925f3a6a1cb24941e","schema_version":"1.0","event_id":"sha256:0540c1991c351e4ce64f5692cb6a7d5f922ef5f5a1f68f3925f3a6a1cb24941e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:W7BCNTRSOKZBO5QUYESX33HPHA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Operator thermalization vs eigenstate thermalization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aleksandar Bukva, Koenraad Schalm, Philippe Sabella-Garnier","submitted_at":"2019-11-14T18:29:18Z","abstract_excerpt":"We study the characteristics of thermalizing and non-thermalizing operators in integrable theories as we turn on a non-integrable deformation. Specifically, we show that $\\sigma^z$, an operator that thermalizes in the integrable transverse field Ising model, has mean matrix elements that resemble ETH, but with fluctuations around the mean that are sharply suppressed. This suppression rapidly dwindles as the Ising model becomes non-integrable by the turning on of a longitudinal field. We also construct a non-thermalizing operator in the integrable regime, which slowly approaches the ETH form as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.06292","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1911.06292/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:19:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wqmSPKaib5ekKTS7WuHfdan/EmhGY2+UYR6IV3UM9rBvYLoqn8AU5bdn/qyyG/4a2DsvrsleuyKmLPGKMaKcBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T15:39:50.905423Z"},"content_sha256":"cc440969a24d274a9a6141adce3a66506e7953518786e4a12d49575c7d46c5e3","schema_version":"1.0","event_id":"sha256:cc440969a24d274a9a6141adce3a66506e7953518786e4a12d49575c7d46c5e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W7BCNTRSOKZBO5QUYESX33HPHA/bundle.json","state_url":"https://pith.science/pith/W7BCNTRSOKZBO5QUYESX33HPHA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W7BCNTRSOKZBO5QUYESX33HPHA/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":"2026-08-14T15:39:50Z","links":{"resolver":"https://pith.science/pith/W7BCNTRSOKZBO5QUYESX33HPHA","bundle":"https://pith.science/pith/W7BCNTRSOKZBO5QUYESX33HPHA/bundle.json","state":"https://pith.science/pith/W7BCNTRSOKZBO5QUYESX33HPHA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W7BCNTRSOKZBO5QUYESX33HPHA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:W7BCNTRSOKZBO5QUYESX33HPHA","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":"30e55b86bc6edacc5442de065e2c71109509928b485548f4312dd7971125e339","cross_cats_sorted":["cond-mat.str-el","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-11-14T18:29:18Z","title_canon_sha256":"dd626a13de897efbe57ccb6e33bfa88aed30a4642adfc17c2067305b98057a0a"},"schema_version":"1.0","source":{"id":"1911.06292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.06292","created_at":"2026-07-05T00:19:16Z"},{"alias_kind":"arxiv_version","alias_value":"1911.06292v1","created_at":"2026-07-05T00:19:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.06292","created_at":"2026-07-05T00:19:16Z"},{"alias_kind":"pith_short_12","alias_value":"W7BCNTRSOKZB","created_at":"2026-07-05T00:19:16Z"},{"alias_kind":"pith_short_16","alias_value":"W7BCNTRSOKZBO5QU","created_at":"2026-07-05T00:19:16Z"},{"alias_kind":"pith_short_8","alias_value":"W7BCNTRS","created_at":"2026-07-05T00:19:16Z"}],"graph_snapshots":[{"event_id":"sha256:cc440969a24d274a9a6141adce3a66506e7953518786e4a12d49575c7d46c5e3","target":"graph","created_at":"2026-07-05T00:19:16Z","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/1911.06292/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the characteristics of thermalizing and non-thermalizing operators in integrable theories as we turn on a non-integrable deformation. Specifically, we show that $\\sigma^z$, an operator that thermalizes in the integrable transverse field Ising model, has mean matrix elements that resemble ETH, but with fluctuations around the mean that are sharply suppressed. This suppression rapidly dwindles as the Ising model becomes non-integrable by the turning on of a longitudinal field. We also construct a non-thermalizing operator in the integrable regime, which slowly approaches the ETH form as","authors_text":"Aleksandar Bukva, Koenraad Schalm, Philippe Sabella-Garnier","cross_cats":["cond-mat.str-el","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-11-14T18:29:18Z","title":"Operator thermalization vs eigenstate thermalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.06292","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":"sha256:0540c1991c351e4ce64f5692cb6a7d5f922ef5f5a1f68f3925f3a6a1cb24941e","target":"record","created_at":"2026-07-05T00:19:16Z","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":"30e55b86bc6edacc5442de065e2c71109509928b485548f4312dd7971125e339","cross_cats_sorted":["cond-mat.str-el","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-11-14T18:29:18Z","title_canon_sha256":"dd626a13de897efbe57ccb6e33bfa88aed30a4642adfc17c2067305b98057a0a"},"schema_version":"1.0","source":{"id":"1911.06292","kind":"arxiv","version":1}},"canonical_sha256":"b7c226ce3272b2177614c1257decef38286969115b3271fe30d06b45775659ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7c226ce3272b2177614c1257decef38286969115b3271fe30d06b45775659ba","first_computed_at":"2026-07-05T00:19:16.559909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:19:16.559909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HFICPqvHhxgJKj9HiecCZwy867pFKquVN+FYLZsREvTbBnDKIZqXj+EbTCk8VQPj/2yNfNkTNfKkr30imI2GBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:19:16.560383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.06292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0540c1991c351e4ce64f5692cb6a7d5f922ef5f5a1f68f3925f3a6a1cb24941e","sha256:cc440969a24d274a9a6141adce3a66506e7953518786e4a12d49575c7d46c5e3"],"state_sha256":"03d24908d450c3b98ed5aa14411841495c5602e0e3ca996ff7a581806201769e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5K0mKkCNh1QuOCR0m2U9UFKvSlnwcFcJ2AfIVE4z48cuV6ZHikbSV2HaB+JOXUUI6kSkSsUf7VaFNfpIDBHUAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T15:39:50.911195Z","bundle_sha256":"8aa25d9bfbbf504327d238f2d4872682a881d6a128b996568cf0bcf92b1e829d"}}