{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:OHT6GR5YP4KYVSSYHZ4RZOCZSN","short_pith_number":"pith:OHT6GR5Y","schema_version":"1.0","canonical_sha256":"71e7e347b87f158aca583e791cb8599379a01593c8f0e8096c1f549302b429b0","source":{"kind":"arxiv","id":"2203.03534","version":3},"attestation_state":"computed","paper":{"title":"Krylov complexity in saddle-dominated scrambling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak, Xiangyu Cao","submitted_at":"2022-03-07T17:29:24Z","abstract_excerpt":"In semi-classical systems, the exponential growth of the out-of-timeorder correlator (OTOC) is believed to be the hallmark of quantum chaos. However,on several occasions, it has been argued that, even in integrable systems, OTOC can grow exponentially due to the presence of unstable saddle points in the phase space. In this work, we probe such an integrable system exhibiting saddle dominated scrambling through Krylov complexity and the associated Lanczos coefficients. In the realm of the universal operator growth hypothesis, we demonstrate that the Lanczos coefficients follow the linear growth"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2203.03534","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-03-07T17:29:24Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"title_canon_sha256":"169254abf8dc08335d958bcadec7d7a83ff9c6a6876bfe0f5ed3781869b23cb9","abstract_canon_sha256":"1470b40c8cb90b5aaf5ebe25bfb167958d951ac9c78a58735b3abd5f047f1085"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:29:12.609753Z","signature_b64":"nGBgOoTur33W4q3tIHWQyqsqcUE1SRrFd32iSMCQS8mZqNQ7kjgbxMhVQpNzYQxKOn6DZeVt/T6q6+gJgmytDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71e7e347b87f158aca583e791cb8599379a01593c8f0e8096c1f549302b429b0","last_reissued_at":"2026-07-05T04:29:12.609137Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:29:12.609137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Krylov complexity in saddle-dominated scrambling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak, Xiangyu Cao","submitted_at":"2022-03-07T17:29:24Z","abstract_excerpt":"In semi-classical systems, the exponential growth of the out-of-timeorder correlator (OTOC) is believed to be the hallmark of quantum chaos. However,on several occasions, it has been argued that, even in integrable systems, OTOC can grow exponentially due to the presence of unstable saddle points in the phase space. In this work, we probe such an integrable system exhibiting saddle dominated scrambling through Krylov complexity and the associated Lanczos coefficients. In the realm of the universal operator growth hypothesis, we demonstrate that the Lanczos coefficients follow the linear growth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.03534","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2203.03534/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2203.03534","created_at":"2026-07-05T04:29:12.609201+00:00"},{"alias_kind":"arxiv_version","alias_value":"2203.03534v3","created_at":"2026-07-05T04:29:12.609201+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.03534","created_at":"2026-07-05T04:29:12.609201+00:00"},{"alias_kind":"pith_short_12","alias_value":"OHT6GR5YP4KY","created_at":"2026-07-05T04:29:12.609201+00:00"},{"alias_kind":"pith_short_16","alias_value":"OHT6GR5YP4KYVSSY","created_at":"2026-07-05T04:29:12.609201+00:00"},{"alias_kind":"pith_short_8","alias_value":"OHT6GR5Y","created_at":"2026-07-05T04:29:12.609201+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":8,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.18351","citing_title":"Probing weak chaos in $\\mathcal N=4$ super Yang-Mills and long-range spin chains","ref_index":48,"is_internal_anchor":false},{"citing_arxiv_id":"2605.26250","citing_title":"Krylov Complexity in Periodically Driven CFTs and Critical Fermions","ref_index":55,"is_internal_anchor":false},{"citing_arxiv_id":"2412.08925","citing_title":"Generalized CV Conjecture and Krylov Complexity in Two-Mode Hermitian Systems via Information Geometry","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2509.04075","citing_title":"Complexity of Quadratic Quantum Chaos","ref_index":59,"is_internal_anchor":false},{"citing_arxiv_id":"2510.22658","citing_title":"Toward Krylov-based holography in double-scaled SYK","ref_index":4,"is_internal_anchor":false},{"citing_arxiv_id":"2601.09801","citing_title":"Probing the Chaos to Integrability Transition in Double-Scaled SYK","ref_index":89,"is_internal_anchor":false},{"citing_arxiv_id":"2603.19359","citing_title":"Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas","ref_index":36,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07668","citing_title":"Bridging Krylov Complexity and Universal Analog Quantum Simulator","ref_index":81,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OHT6GR5YP4KYVSSYHZ4RZOCZSN","json":"https://pith.science/pith/OHT6GR5YP4KYVSSYHZ4RZOCZSN.json","graph_json":"https://pith.science/api/pith-number/OHT6GR5YP4KYVSSYHZ4RZOCZSN/graph.json","events_json":"https://pith.science/api/pith-number/OHT6GR5YP4KYVSSYHZ4RZOCZSN/events.json","paper":"https://pith.science/paper/OHT6GR5Y"},"agent_actions":{"view_html":"https://pith.science/pith/OHT6GR5YP4KYVSSYHZ4RZOCZSN","download_json":"https://pith.science/pith/OHT6GR5YP4KYVSSYHZ4RZOCZSN.json","view_paper":"https://pith.science/paper/OHT6GR5Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2203.03534&json=true","fetch_graph":"https://pith.science/api/pith-number/OHT6GR5YP4KYVSSYHZ4RZOCZSN/graph.json","fetch_events":"https://pith.science/api/pith-number/OHT6GR5YP4KYVSSYHZ4RZOCZSN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OHT6GR5YP4KYVSSYHZ4RZOCZSN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OHT6GR5YP4KYVSSYHZ4RZOCZSN/action/storage_attestation","attest_author":"https://pith.science/pith/OHT6GR5YP4KYVSSYHZ4RZOCZSN/action/author_attestation","sign_citation":"https://pith.science/pith/OHT6GR5YP4KYVSSYHZ4RZOCZSN/action/citation_signature","submit_replication":"https://pith.science/pith/OHT6GR5YP4KYVSSYHZ4RZOCZSN/action/replication_record"}},"created_at":"2026-07-05T04:29:12.609201+00:00","updated_at":"2026-07-05T04:29:12.609201+00:00"}