{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:6ESGAVQ6K2JAT5E6WCZLHHS5ID","short_pith_number":"pith:6ESGAVQ6","schema_version":"1.0","canonical_sha256":"f12460561e569209f49eb0b2b39e5d40ca3fe7662aa15aeb6142bd9382bc4120","source":{"kind":"arxiv","id":"2212.06180","version":3},"attestation_state":"computed","paper":{"title":"Operator growth in open quantum systems: lessons from the dissipative SYK","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"quant-ph","authors_text":"Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak, Xiangyu Cao","submitted_at":"2022-12-12T19:00:12Z","abstract_excerpt":"We study the operator growth in open quantum systems with dephasing dissipation terms, extending the Krylov complexity formalism of Phys. Rev. X 9, 041017. Our results are based on the study of the dissipative $q$-body Sachdev-Ye-Kitaev (SYK$_q$) model, governed by the Markovian dynamics. We introduce a notion of ''operator size concentration'' which allows a diagrammatic and combinatorial proof of the asymptotic linear behavior of the two sets of Lanczos coefficients ($a_n$ and $b_n$) in the large $q$ limit. Our results corroborate with the semi-analytics in finite $q$ in the large $N$ limit,"},"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":"2212.06180","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-12-12T19:00:12Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"4309753f1b86f52ef0d83e3f83facad7d9e4cef57cb0ba00812aedaa89e0129f","abstract_canon_sha256":"396169603ed7682084e32b918d4ebf94556819f8cbbd6d08bdf6d73d32022216"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:49:31.985548Z","signature_b64":"vArD5oaOi0irBe1PEEWJ2pIK//hKzX4xOeiDKdMo1yS3W0lMPe8co/1ASMk3vUobJs8RyJOy00/JkF0pZCCNAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f12460561e569209f49eb0b2b39e5d40ca3fe7662aa15aeb6142bd9382bc4120","last_reissued_at":"2026-07-05T05:49:31.985160Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:49:31.985160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Operator growth in open quantum systems: lessons from the dissipative SYK","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"quant-ph","authors_text":"Budhaditya Bhattacharjee, Pratik Nandy, Tanay Pathak, Xiangyu Cao","submitted_at":"2022-12-12T19:00:12Z","abstract_excerpt":"We study the operator growth in open quantum systems with dephasing dissipation terms, extending the Krylov complexity formalism of Phys. Rev. X 9, 041017. Our results are based on the study of the dissipative $q$-body Sachdev-Ye-Kitaev (SYK$_q$) model, governed by the Markovian dynamics. We introduce a notion of ''operator size concentration'' which allows a diagrammatic and combinatorial proof of the asymptotic linear behavior of the two sets of Lanczos coefficients ($a_n$ and $b_n$) in the large $q$ limit. Our results corroborate with the semi-analytics in finite $q$ in the large $N$ limit,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.06180","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/2212.06180/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":"2212.06180","created_at":"2026-07-05T05:49:31.985226+00:00"},{"alias_kind":"arxiv_version","alias_value":"2212.06180v3","created_at":"2026-07-05T05:49:31.985226+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.06180","created_at":"2026-07-05T05:49:31.985226+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ESGAVQ6K2JA","created_at":"2026-07-05T05:49:31.985226+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ESGAVQ6K2JAT5E6","created_at":"2026-07-05T05:49:31.985226+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ESGAVQ6","created_at":"2026-07-05T05:49:31.985226+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":9,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.20220","citing_title":"Higher-loop wormhole length in sine-dilaton gravity from DSSYK Krylov complexity","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2605.17550","citing_title":"Krylov Correlators in $\\mathfrak{sl}(2,\\mathbb R)$ Models: Exact Results and Holographic Complexity","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2606.20220","citing_title":"Higher-loop wormhole length in sine-dilaton gravity from DSSYK Krylov complexity","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2605.17550","citing_title":"Krylov Correlators in $\\mathfrak{sl}(2,\\mathbb R)$ Models: Exact Results and Holographic Complexity","ref_index":19,"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":57,"is_internal_anchor":false},{"citing_arxiv_id":"2605.17550","citing_title":"Krylov Correlators in $\\mathfrak{sl}(2,\\mathbb R)$ Models: Exact Results and Holographic Complexity","ref_index":18,"is_internal_anchor":false},{"citing_arxiv_id":"2509.04075","citing_title":"Complexity of Quadratic Quantum Chaos","ref_index":85,"is_internal_anchor":false},{"citing_arxiv_id":"2509.25331","citing_title":"Krylov Winding and Emergent Coherence in Operator Growth Dynamics","ref_index":54,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07668","citing_title":"Bridging Krylov Complexity and Universal Analog Quantum Simulator","ref_index":87,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6ESGAVQ6K2JAT5E6WCZLHHS5ID","json":"https://pith.science/pith/6ESGAVQ6K2JAT5E6WCZLHHS5ID.json","graph_json":"https://pith.science/api/pith-number/6ESGAVQ6K2JAT5E6WCZLHHS5ID/graph.json","events_json":"https://pith.science/api/pith-number/6ESGAVQ6K2JAT5E6WCZLHHS5ID/events.json","paper":"https://pith.science/paper/6ESGAVQ6"},"agent_actions":{"view_html":"https://pith.science/pith/6ESGAVQ6K2JAT5E6WCZLHHS5ID","download_json":"https://pith.science/pith/6ESGAVQ6K2JAT5E6WCZLHHS5ID.json","view_paper":"https://pith.science/paper/6ESGAVQ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2212.06180&json=true","fetch_graph":"https://pith.science/api/pith-number/6ESGAVQ6K2JAT5E6WCZLHHS5ID/graph.json","fetch_events":"https://pith.science/api/pith-number/6ESGAVQ6K2JAT5E6WCZLHHS5ID/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ESGAVQ6K2JAT5E6WCZLHHS5ID/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ESGAVQ6K2JAT5E6WCZLHHS5ID/action/storage_attestation","attest_author":"https://pith.science/pith/6ESGAVQ6K2JAT5E6WCZLHHS5ID/action/author_attestation","sign_citation":"https://pith.science/pith/6ESGAVQ6K2JAT5E6WCZLHHS5ID/action/citation_signature","submit_replication":"https://pith.science/pith/6ESGAVQ6K2JAT5E6WCZLHHS5ID/action/replication_record"}},"created_at":"2026-07-05T05:49:31.985226+00:00","updated_at":"2026-07-05T05:49:31.985226+00:00"}