{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:D6MBUNSTR4FEYSRG43O5ZOYBQS","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":"5d64ba09468754d9f61e187a5d2bc0c0214015a0a5f91c31f08871478403772a","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-05T18:00:11Z","title_canon_sha256":"947de09e8ce4d2a6bffe508a47157ddfc9a22586fed15615c8fd6caa2c3eb11c"},"schema_version":"1.0","source":{"id":"2210.02474","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.02474","created_at":"2026-07-05T06:42:17Z"},{"alias_kind":"arxiv_version","alias_value":"2210.02474v4","created_at":"2026-07-05T06:42:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.02474","created_at":"2026-07-05T06:42:17Z"},{"alias_kind":"pith_short_12","alias_value":"D6MBUNSTR4FE","created_at":"2026-07-05T06:42:17Z"},{"alias_kind":"pith_short_16","alias_value":"D6MBUNSTR4FEYSRG","created_at":"2026-07-05T06:42:17Z"},{"alias_kind":"pith_short_8","alias_value":"D6MBUNST","created_at":"2026-07-05T06:42:17Z"}],"graph_snapshots":[{"event_id":"sha256:f933601cba68431edeb803c50e2f10bef9d7bbb6a11d2e02600738f42ced157e","target":"graph","created_at":"2026-07-05T06:42:17Z","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/2210.02474/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Considering the large-$q$ expansion of the Sachdev-Ye-Kitaev (SYK) model in the two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher Krylov cumulants in subleading order, along with the $t/q$ effects. The Krylov complexity naturally describes the \"size\" of the distribution, while the higher cumulants encode richer information. We further consider the double-scaled limit of SYK$_q$ at infinite temperature, where $q \\sim \\sqrt{N}$. In such a limit, we find that the scrambling time shrinks to zero, and the Lanczos coefficients diverge. The growth of Krylov compl","authors_text":"Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak","cross_cats":["cond-mat.str-el","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-05T18:00:11Z","title":"Krylov complexity in large-$q$ and double-scaled SYK model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.02474","kind":"arxiv","version":4},"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":"sha256:3db57452d59a1d3b079f1e547acc4e27dc013364df26da9011cc1afd731f7baa","target":"record","created_at":"2026-07-05T06:42:17Z","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":"5d64ba09468754d9f61e187a5d2bc0c0214015a0a5f91c31f08871478403772a","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-05T18:00:11Z","title_canon_sha256":"947de09e8ce4d2a6bffe508a47157ddfc9a22586fed15615c8fd6caa2c3eb11c"},"schema_version":"1.0","source":{"id":"2210.02474","kind":"arxiv","version":4}},"canonical_sha256":"1f981a36538f0a4c4a26e6dddcbb01849d27cbe59cf48fea9f4e951a361e86c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f981a36538f0a4c4a26e6dddcbb01849d27cbe59cf48fea9f4e951a361e86c7","first_computed_at":"2026-07-05T06:42:17.654341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:42:17.654341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JAcjxmIqMDJBu8/rUva1MkHV9ald/65SvugeGxVZ975nIO+05NDVGZHuIfvL5+ko+kNAE6YeUi77ED0zOZqGDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:42:17.654780Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.02474","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3db57452d59a1d3b079f1e547acc4e27dc013364df26da9011cc1afd731f7baa","sha256:f933601cba68431edeb803c50e2f10bef9d7bbb6a11d2e02600738f42ced157e"],"state_sha256":"d0b6d18e14e875605a1150b812150b343e56eaefcc91516821e3f52a7a590f16"}