{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:I4CHSG2Y3YJJEKCZP7QVRGAJHO","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":"6738efb99b7f4a94f739e2e51738e5a5ffd12fed206c1ac280e9801e62546862","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-04-11T11:43:39Z","title_canon_sha256":"0ac53c4932b086a556070c1d3f7dae9e0e2595ecf6798eb290cab7a0d1890e5d"},"schema_version":"1.0","source":{"id":"2404.07657","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.07657","created_at":"2026-07-05T09:24:57Z"},{"alias_kind":"arxiv_version","alias_value":"2404.07657v3","created_at":"2026-07-05T09:24:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.07657","created_at":"2026-07-05T09:24:57Z"},{"alias_kind":"pith_short_12","alias_value":"I4CHSG2Y3YJJ","created_at":"2026-07-05T09:24:57Z"},{"alias_kind":"pith_short_16","alias_value":"I4CHSG2Y3YJJEKCZ","created_at":"2026-07-05T09:24:57Z"},{"alias_kind":"pith_short_8","alias_value":"I4CHSG2Y","created_at":"2026-07-05T09:24:57Z"}],"graph_snapshots":[{"event_id":"sha256:c70831d04558afb3f2e910515866dfd48a6e66e00b775ce9cf2535d5660aea63","target":"graph","created_at":"2026-07-05T09:24:57Z","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/2404.07657/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We point out an interesting connection between the mathematical framework of the Krylov basis, which is used to quantify quantum complexity, and the entanglement entropy in high-energy QCD. In particular, we observe that the cascade equation of the dipole model is equivalent to the $SL(2,R)$ Schrodinger equation in the Krylov basis. Consequently, the Krylov complexity corresponds to the average distribution of partons and the Krylov entropy is the counterpart the entanglement entropy computations of \\cite{Kharzeev:2017qzs}. Our work not only brings new tools for exploring quantum information a","authors_text":"Krzysztof Kutak, Pawel Caputa","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-04-11T11:43:39Z","title":"Krylov complexity and gluon cascades in the high energy limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.07657","kind":"arxiv","version":3},"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":"sha256:36a7d81cbd4de0614050e26b51abf18542a16552265540effbc83d3e6c4b42a4","target":"record","created_at":"2026-07-05T09:24:57Z","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":"6738efb99b7f4a94f739e2e51738e5a5ffd12fed206c1ac280e9801e62546862","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-04-11T11:43:39Z","title_canon_sha256":"0ac53c4932b086a556070c1d3f7dae9e0e2595ecf6798eb290cab7a0d1890e5d"},"schema_version":"1.0","source":{"id":"2404.07657","kind":"arxiv","version":3}},"canonical_sha256":"4704791b58de129228597fe15898093bbdb2e5488a967cd1f93eb37d674d8f67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4704791b58de129228597fe15898093bbdb2e5488a967cd1f93eb37d674d8f67","first_computed_at":"2026-07-05T09:24:57.392521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:24:57.392521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HnnicHan/deuhOsxQnKj8h3zRldqWvZOLHerMZ1OXTT9jmOqUVDTmnMUDmx/wbwl5JSRccRhqH4OZOf5D0kSAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:24:57.393004Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.07657","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36a7d81cbd4de0614050e26b51abf18542a16552265540effbc83d3e6c4b42a4","sha256:c70831d04558afb3f2e910515866dfd48a6e66e00b775ce9cf2535d5660aea63"],"state_sha256":"673dd85425278ff462313114db79cc5d8322ddc5672de1ba0bbb58548634b4dd"}