{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ZVTLTSD3VYS7IXCSWVCE7NAYR2","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":"fd46e8791b25f3f56219978e742881ca0ea1826141fa83a95c829700a1d96015","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-08-07T18:01:29Z","title_canon_sha256":"122b252419bbf5bb79fb40490a4c6a48fc8a63e2c982f7c579e4459b9576a80b"},"schema_version":"1.0","source":{"id":"2308.03851","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.03851","created_at":"2026-07-05T10:06:37Z"},{"alias_kind":"arxiv_version","alias_value":"2308.03851v2","created_at":"2026-07-05T10:06:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.03851","created_at":"2026-07-05T10:06:37Z"},{"alias_kind":"pith_short_12","alias_value":"ZVTLTSD3VYS7","created_at":"2026-07-05T10:06:37Z"},{"alias_kind":"pith_short_16","alias_value":"ZVTLTSD3VYS7IXCS","created_at":"2026-07-05T10:06:37Z"},{"alias_kind":"pith_short_8","alias_value":"ZVTLTSD3","created_at":"2026-07-05T10:06:37Z"}],"graph_snapshots":[{"event_id":"sha256:15f14f1100b802b3c2dfe010559d46bc46c603f766b8cefc99f9d705c3d7830c","target":"graph","created_at":"2026-07-05T10:06:37Z","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/2308.03851/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate many-body dynamics where the evolution is governed by unitary circuits through the lens of `Krylov complexity', a recently proposed measure of complexity and quantum chaos. We extend the formalism of Krylov complexity to unitary circuit dynamics and focus on Floquet circuits arising as the Trotter decomposition of Hamiltonian dynamics. For short Trotter steps the results from Hamiltonian dynamics are recovered, whereas a large Trotter step results in different universal behavior characterized by the existence of local maximally ergodic operators: operators with vanishing autocor","authors_text":"Philippe Suchsland, Pieter W. Claeys, Roderich Moessner","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","nlin.CD"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-08-07T18:01:29Z","title":"Krylov complexity and Trotter transitions in unitary circuit dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.03851","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":"sha256:9cbdd1092848cce8173170e9fc53a92e94387e1880e2353e7be0a0c85d01f6d5","target":"record","created_at":"2026-07-05T10:06:37Z","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":"fd46e8791b25f3f56219978e742881ca0ea1826141fa83a95c829700a1d96015","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-08-07T18:01:29Z","title_canon_sha256":"122b252419bbf5bb79fb40490a4c6a48fc8a63e2c982f7c579e4459b9576a80b"},"schema_version":"1.0","source":{"id":"2308.03851","kind":"arxiv","version":2}},"canonical_sha256":"cd66b9c87bae25f45c52b5444fb4188e9aaf8aefdba4ae74ab8f621e5c6b7440","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd66b9c87bae25f45c52b5444fb4188e9aaf8aefdba4ae74ab8f621e5c6b7440","first_computed_at":"2026-07-05T10:06:37.648115Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:06:37.648115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fTcbrDAf3wZ9ZQuqtt5fbjkZoIwAxZNnUkHxBLDUBAP4xzJD+5py8+V8eEOATtAT2hzqKOXmFFitY89rJRRxBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:06:37.648630Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.03851","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cbdd1092848cce8173170e9fc53a92e94387e1880e2353e7be0a0c85d01f6d5","sha256:15f14f1100b802b3c2dfe010559d46bc46c603f766b8cefc99f9d705c3d7830c"],"state_sha256":"45342f6be39d013f3cf35e4027b6f86905731c39a139131801b9e20d666e30e5"}