{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:7LI6CAQFX7DG4LHPNN4HX2VZWU","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":"4bfcdab9f677c0e41c2c17b5a974b7cd4166805eeeb2241ece452716f6c4ed6f","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-07-22T17:21:23Z","title_canon_sha256":"ba0dc36fa156b06b806ed4a0fa36c1380d6af2a0183512979f5058951887f0cb"},"schema_version":"1.0","source":{"id":"2007.11555","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.11555","created_at":"2026-07-05T02:10:17Z"},{"alias_kind":"arxiv_version","alias_value":"2007.11555v2","created_at":"2026-07-05T02:10:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.11555","created_at":"2026-07-05T02:10:17Z"},{"alias_kind":"pith_short_12","alias_value":"7LI6CAQFX7DG","created_at":"2026-07-05T02:10:17Z"},{"alias_kind":"pith_short_16","alias_value":"7LI6CAQFX7DG4LHP","created_at":"2026-07-05T02:10:17Z"},{"alias_kind":"pith_short_8","alias_value":"7LI6CAQF","created_at":"2026-07-05T02:10:17Z"}],"graph_snapshots":[{"event_id":"sha256:d2673208818b305ae0a5e6d3d8e6cb7fe3ea3d640dcd27542f304dded9b5ece9","target":"graph","created_at":"2026-07-05T02:10:17Z","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/2007.11555/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Defining complexity in quantum field theory is a difficult task, and the main challenge concerns going beyond free models and associated Gaussian states and operations. One take on this issue is to consider conformal field theories in 1+1 dimensions and our work is a comprehensive study of state and operator complexity in the universal sector of their energy-momentum tensor. The unifying conceptual ideas are Euler-Arnold equations and their integro-differential generalization, which guarantee well-posedness of the optimization problem between two generic states or transformations of interest. ","authors_text":"Mario Flory, Michal P. Heller","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-07-22T17:21:23Z","title":"Conformal field theory complexity from Euler-Arnold equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.11555","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":"sha256:39d9f48f082b22a7342f4f5ec25f603abe79705d0f0ca9bf17247cbf96cac227","target":"record","created_at":"2026-07-05T02:10:17Z","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":"4bfcdab9f677c0e41c2c17b5a974b7cd4166805eeeb2241ece452716f6c4ed6f","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-07-22T17:21:23Z","title_canon_sha256":"ba0dc36fa156b06b806ed4a0fa36c1380d6af2a0183512979f5058951887f0cb"},"schema_version":"1.0","source":{"id":"2007.11555","kind":"arxiv","version":2}},"canonical_sha256":"fad1e10205bfc66e2cef6b787beab9b508f5a85e49745281dee8cb0a925d4548","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fad1e10205bfc66e2cef6b787beab9b508f5a85e49745281dee8cb0a925d4548","first_computed_at":"2026-07-05T02:10:17.180194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:10:17.180194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ORbdZY6u/SnJ/d4Lld8Oz+1Y36IMt4zsSBtd4xKQ67J+zxYkZuWudaUFbGv7KIdCKQ2zeMm9Job0Hv2c4jD6Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:10:17.180673Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.11555","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39d9f48f082b22a7342f4f5ec25f603abe79705d0f0ca9bf17247cbf96cac227","sha256:d2673208818b305ae0a5e6d3d8e6cb7fe3ea3d640dcd27542f304dded9b5ece9"],"state_sha256":"612beb0ecbefca2762be0ae1c07f6e2e3e75a6748237a595feda663b84fb6443"}