{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:RT2ROTC3G66XXZAC4IPTVIIV7J","short_pith_number":"pith:RT2ROTC3","schema_version":"1.0","canonical_sha256":"8cf5174c5b37bd7be402e21f3aa115fa5945fa190e8899df054116a2240eded1","source":{"kind":"arxiv","id":"2202.06957","version":2},"attestation_state":"computed","paper":{"title":"Quantum chaos and the complexity of spread of states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Javier Magan, Pawel Caputa, Qingyue Wu, Vijay Balasubramanian","submitted_at":"2022-02-14T19:00:00Z","abstract_excerpt":"We propose a measure of quantum state complexity defined by minimizing the spread of the wave-function over all choices of basis. Our measure is controlled by the \"survival amplitude\" for a state to remain unchanged, and can be efficiently computed in theories with discrete spectra. For continuous Hamiltonian evolution, it generalizes Krylov operator complexity to quantum states. We apply our methods to the harmonic and inverted oscillators, particles on group manifolds, the Schwarzian theory, the SYK model, and random matrix models. For time-evolved thermofield double states in chaotic system"},"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":"2202.06957","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-02-14T19:00:00Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"8d9c3a5db02b0be4c99b8ca7671f146e5138b951c2cbc1b58b48d2c17c7c397a","abstract_canon_sha256":"f261237fc446bd56d1f6f6df364c094572a3cc46838240aa1ba0c46a80254382"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:57:04.378991Z","signature_b64":"FVLLr8BMbFdW7obksKT3+pIuMoMhlV/syMwgGzYutj9+3m+f/v2e9GKSgUBWg3MqJCP5VqoPly5eS7mRslrvDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cf5174c5b37bd7be402e21f3aa115fa5945fa190e8899df054116a2240eded1","last_reissued_at":"2026-07-05T04:57:04.378575Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:57:04.378575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum chaos and the complexity of spread of states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Javier Magan, Pawel Caputa, Qingyue Wu, Vijay Balasubramanian","submitted_at":"2022-02-14T19:00:00Z","abstract_excerpt":"We propose a measure of quantum state complexity defined by minimizing the spread of the wave-function over all choices of basis. Our measure is controlled by the \"survival amplitude\" for a state to remain unchanged, and can be efficiently computed in theories with discrete spectra. For continuous Hamiltonian evolution, it generalizes Krylov operator complexity to quantum states. We apply our methods to the harmonic and inverted oscillators, particles on group manifolds, the Schwarzian theory, the SYK model, and random matrix models. For time-evolved thermofield double states in chaotic system"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.06957","kind":"arxiv","version":2},"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/2202.06957/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":"2202.06957","created_at":"2026-07-05T04:57:04.378639+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.06957v2","created_at":"2026-07-05T04:57:04.378639+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.06957","created_at":"2026-07-05T04:57:04.378639+00:00"},{"alias_kind":"pith_short_12","alias_value":"RT2ROTC3G66X","created_at":"2026-07-05T04:57:04.378639+00:00"},{"alias_kind":"pith_short_16","alias_value":"RT2ROTC3G66XXZAC","created_at":"2026-07-05T04:57:04.378639+00:00"},{"alias_kind":"pith_short_8","alias_value":"RT2ROTC3","created_at":"2026-07-05T04:57:04.378639+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":28,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.05294","citing_title":"Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity","ref_index":1,"is_internal_anchor":true},{"citing_arxiv_id":"2606.23785","citing_title":"Controlled Chaos in 4D SCFTs","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2606.21662","citing_title":"On the Universality of Probe Complexity in $\\mathcal{N}=4$ SYM","ref_index":30,"is_internal_anchor":false},{"citing_arxiv_id":"2606.20790","citing_title":"Complexity Inequalities for Quantum Subsystems","ref_index":60,"is_internal_anchor":false},{"citing_arxiv_id":"2607.01351","citing_title":"Wigner negativity in Krylov space and emergent semiclassicality","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2607.00074","citing_title":"Holographic Spread Complexity from Branes and Strings","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2606.03049","citing_title":"Holographic complexity of de-Sitter black holes","ref_index":126,"is_internal_anchor":false},{"citing_arxiv_id":"2606.20790","citing_title":"Complexity Inequalities for Quantum Subsystems","ref_index":61,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13956","citing_title":"q-Askey Deformations of Double-Scaled SYK","ref_index":60,"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":16,"is_internal_anchor":false},{"citing_arxiv_id":"2605.28681","citing_title":"Krylov complexity has it all","ref_index":8,"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":15,"is_internal_anchor":false},{"citing_arxiv_id":"2605.16507","citing_title":"Krylov complexity from a simple quantum mechanical model for a radiating black hole","ref_index":5,"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":14,"is_internal_anchor":false},{"citing_arxiv_id":"2507.23667","citing_title":"Universal Time Evolution of Holographic and Quantum Complexity","ref_index":50,"is_internal_anchor":false},{"citing_arxiv_id":"2509.04075","citing_title":"Complexity of Quadratic Quantum Chaos","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2509.14810","citing_title":"Krylov Complexity for Open Quantum System: Dissipation and Decoherence","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2510.22658","citing_title":"Toward Krylov-based holography in double-scaled SYK","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2511.03779","citing_title":"Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity","ref_index":108,"is_internal_anchor":false},{"citing_arxiv_id":"2601.09801","citing_title":"Probing the Chaos to Integrability Transition in Double-Scaled SYK","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2602.06113","citing_title":"Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography","ref_index":87,"is_internal_anchor":false},{"citing_arxiv_id":"2602.11627","citing_title":"Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography","ref_index":7,"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":26,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13956","citing_title":"q-Askey Deformations of Double-Scaled SYK","ref_index":60,"is_internal_anchor":false},{"citing_arxiv_id":"2603.29443","citing_title":"Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons","ref_index":61,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RT2ROTC3G66XXZAC4IPTVIIV7J","json":"https://pith.science/pith/RT2ROTC3G66XXZAC4IPTVIIV7J.json","graph_json":"https://pith.science/api/pith-number/RT2ROTC3G66XXZAC4IPTVIIV7J/graph.json","events_json":"https://pith.science/api/pith-number/RT2ROTC3G66XXZAC4IPTVIIV7J/events.json","paper":"https://pith.science/paper/RT2ROTC3"},"agent_actions":{"view_html":"https://pith.science/pith/RT2ROTC3G66XXZAC4IPTVIIV7J","download_json":"https://pith.science/pith/RT2ROTC3G66XXZAC4IPTVIIV7J.json","view_paper":"https://pith.science/paper/RT2ROTC3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.06957&json=true","fetch_graph":"https://pith.science/api/pith-number/RT2ROTC3G66XXZAC4IPTVIIV7J/graph.json","fetch_events":"https://pith.science/api/pith-number/RT2ROTC3G66XXZAC4IPTVIIV7J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RT2ROTC3G66XXZAC4IPTVIIV7J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RT2ROTC3G66XXZAC4IPTVIIV7J/action/storage_attestation","attest_author":"https://pith.science/pith/RT2ROTC3G66XXZAC4IPTVIIV7J/action/author_attestation","sign_citation":"https://pith.science/pith/RT2ROTC3G66XXZAC4IPTVIIV7J/action/citation_signature","submit_replication":"https://pith.science/pith/RT2ROTC3G66XXZAC4IPTVIIV7J/action/replication_record"}},"created_at":"2026-07-05T04:57:04.378639+00:00","updated_at":"2026-07-05T04:57:04.378639+00:00"}