{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:XF5IWRFO4SXJTVZ7YWYEXBGNQ3","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":"f4c5be25886e8f728dab53b8e397cf4f7721baf644212692e1d307792e02107c","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-07-23T18:57:08Z","title_canon_sha256":"5f315c46019f590af5a229b4dc93ba61e5666d79b8ebd56c4f17cb6b54300ee5"},"schema_version":"1.0","source":{"id":"2107.11416","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.11416","created_at":"2026-07-05T04:36:19Z"},{"alias_kind":"arxiv_version","alias_value":"2107.11416v2","created_at":"2026-07-05T04:36:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.11416","created_at":"2026-07-05T04:36:19Z"},{"alias_kind":"pith_short_12","alias_value":"XF5IWRFO4SXJ","created_at":"2026-07-05T04:36:19Z"},{"alias_kind":"pith_short_16","alias_value":"XF5IWRFO4SXJTVZ7","created_at":"2026-07-05T04:36:19Z"},{"alias_kind":"pith_short_8","alias_value":"XF5IWRFO","created_at":"2026-07-05T04:36:19Z"}],"graph_snapshots":[{"event_id":"sha256:05a9809ee2c145d3c15ed9d59d8e9db6e261715673c92040357e92d80db78d08","target":"graph","created_at":"2026-07-05T04:36:19Z","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/2107.11416/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using dual theories embedded into a larger unphysical Hilbert space along entanglement cuts, we study the Entanglement Structure of $\\mathbf{Z}_2$ lattice gauge theory in $(2+1)$ spacetime dimensions. We demonstrate Li and Haldane's conjecture, and show consistency of the Entanglement Hamiltonian with the Bisognano-Wichmann theorem. Studying non-equilibrium dynamics after a quench, we provide an extensive description of thermalization in $\\mathbf{Z}_2$ gauge theory which proceeds in a characteristic sequence: Maximization of the Schmidt rank and spreading of level repulsion at early times, sel","authors_text":"Niklas Mueller, Robert Ott, Torsten V. Zache","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-07-23T18:57:08Z","title":"Thermalization of Gauge Theories from their Entanglement Spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.11416","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":"sha256:2f39dbe8a448282bed4eee41ba54f06fb0442c9b8ce2b0ce597e58ad3d0fc53e","target":"record","created_at":"2026-07-05T04:36:19Z","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":"f4c5be25886e8f728dab53b8e397cf4f7721baf644212692e1d307792e02107c","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-07-23T18:57:08Z","title_canon_sha256":"5f315c46019f590af5a229b4dc93ba61e5666d79b8ebd56c4f17cb6b54300ee5"},"schema_version":"1.0","source":{"id":"2107.11416","kind":"arxiv","version":2}},"canonical_sha256":"b97a8b44aee4ae99d73fc5b04b84cd86cf6d2229e42e9d87fcc926f2773e9aa6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b97a8b44aee4ae99d73fc5b04b84cd86cf6d2229e42e9d87fcc926f2773e9aa6","first_computed_at":"2026-07-05T04:36:19.298506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:36:19.298506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IDf6AG2Qqog6/rOWW3XflyIEdLdLa7c0byGkD4Tuv3PYZng0t05qM+UnN13W3Wt8XPVd2a9PYRxDpSVKnV3ACg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:36:19.298895Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.11416","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f39dbe8a448282bed4eee41ba54f06fb0442c9b8ce2b0ce597e58ad3d0fc53e","sha256:05a9809ee2c145d3c15ed9d59d8e9db6e261715673c92040357e92d80db78d08"],"state_sha256":"aaaa3badf969aefcc124bbf1e9f827de6351de829b8cd7b344a7f4c7b2b7adc1"}