{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:OBWFJSR63FRD2VJQTJ7HBYEFIF","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":"895015ccda3d27068083bf7ffaca436f97aa49cbd9158e0c31d0e601e8b7c37c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-02T18:00:05Z","title_canon_sha256":"3b86e57b74b2c27004da1bc81124d966d117513a72dd23017babb99c9fbf8080"},"schema_version":"1.0","source":{"id":"2109.01152","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.01152","created_at":"2026-07-05T05:03:19Z"},{"alias_kind":"arxiv_version","alias_value":"2109.01152v2","created_at":"2026-07-05T05:03:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.01152","created_at":"2026-07-05T05:03:19Z"},{"alias_kind":"pith_short_12","alias_value":"OBWFJSR63FRD","created_at":"2026-07-05T05:03:19Z"},{"alias_kind":"pith_short_16","alias_value":"OBWFJSR63FRD2VJQ","created_at":"2026-07-05T05:03:19Z"},{"alias_kind":"pith_short_8","alias_value":"OBWFJSR6","created_at":"2026-07-05T05:03:19Z"}],"graph_snapshots":[{"event_id":"sha256:86b3a16fe3308fac534b33e0c26833c8f3e2799510fb3546f5cd6cb294e98b51","target":"graph","created_at":"2026-07-05T05:03:19Z","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/2109.01152/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As a new step towards defining complexity for quantum field theories, we map Nielsen operator complexity for $SU(N)$ gates to two-dimensional hydrodynamics. We develop a tractable large $N$ limit that leads to regular geometries on the manifold of unitaries as $N$ is taken to infinity. To achieve this, we introduce a basis of non-commutative plane waves for the $\\mathfrak{su}(N)$ algebra and define a metric with polynomial penalty factors. Through the Euler-Arnold approach we identify incompressible inviscid hydrodynamics on the two-torus as a novel effective theory of large-qudit operator com","authors_text":"Florian Goth, Ioannis Matthaiakakis, Johanna Erdmenger, Pablo Basteiro, Pascal Fries, Ren\\'e Meyer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-02T18:00:05Z","title":"Quantum Complexity as Hydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.01152","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:ea2f3e78405c015e0baa20543c321660d62dafd93d709c367826516c8e66fd72","target":"record","created_at":"2026-07-05T05:03:19Z","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":"895015ccda3d27068083bf7ffaca436f97aa49cbd9158e0c31d0e601e8b7c37c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-02T18:00:05Z","title_canon_sha256":"3b86e57b74b2c27004da1bc81124d966d117513a72dd23017babb99c9fbf8080"},"schema_version":"1.0","source":{"id":"2109.01152","kind":"arxiv","version":2}},"canonical_sha256":"706c54ca3ed9623d55309a7e70e085416e1f42a87b7f987ffe4a46529091609a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"706c54ca3ed9623d55309a7e70e085416e1f42a87b7f987ffe4a46529091609a","first_computed_at":"2026-07-05T05:03:19.572772Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:03:19.572772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q2aj/wrkMWaC3hWieFQC+LLArK5kFiuNGqw+VmyKCUj4xWnO/atnY4VQCpRd5BJmyo/FrIvzErYe2oQfHRVgDA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:03:19.573360Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.01152","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea2f3e78405c015e0baa20543c321660d62dafd93d709c367826516c8e66fd72","sha256:86b3a16fe3308fac534b33e0c26833c8f3e2799510fb3546f5cd6cb294e98b51"],"state_sha256":"31c33cee4ab9c7300d8bffeb9b655055728965f66717272f343c2023802f9c2a"}