{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:HX3GYXF4YNVP4XT4UTLLCR5EYE","short_pith_number":"pith:HX3GYXF4","schema_version":"1.0","canonical_sha256":"3df66c5cbcc36afe5e7ca4d6b147a4c118cc928b2e95d73b05d40c7c69f21803","source":{"kind":"arxiv","id":"2504.03435","version":3},"attestation_state":"computed","paper":{"title":"Exactly solvable models for universal operator growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Murtaza Ali Mir, Oleg Lychkovskiy, Oleksandr Gamayun, Zoran Ristivojevic","submitted_at":"2025-04-04T13:27:56Z","abstract_excerpt":"Quantum observables of generic many-body systems exhibit a universal pattern of growth in the Krylov space of operators. This pattern becomes particularly manifest in the Lanczos basis, where the evolution superoperator assumes the tridiagonal form. According to the universal operator growth hypothesis, the nonzero elements of the superoperator, known as Lanczos coefficients, grow asymptotically linearly. We introduce and explore broad families of Lanczos coefficients that are consistent with the universal operator growth and lead to the exactly solvable dynamics. Within these families, the su"},"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":"2504.03435","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-04T13:27:56Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"title_canon_sha256":"e626f9068633affeb7e080b95cf4288a25999619c37a384e1451d1d96ada5afe","abstract_canon_sha256":"17def144a2a8dbfef293cbdbdda9de6f9438ecd4d9ea855219ce53849baf298c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:08:01.917792Z","signature_b64":"pqbmopjf4CCFKpSAFWHYZrfKqcX6uwmUH+WiCYandjyYZt21NNPesnxO1J8vElw12s6fro517SrRxP+iJRq8Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3df66c5cbcc36afe5e7ca4d6b147a4c118cc928b2e95d73b05d40c7c69f21803","last_reissued_at":"2026-07-05T12:08:01.917038Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:08:01.917038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exactly solvable models for universal operator growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Murtaza Ali Mir, Oleg Lychkovskiy, Oleksandr Gamayun, Zoran Ristivojevic","submitted_at":"2025-04-04T13:27:56Z","abstract_excerpt":"Quantum observables of generic many-body systems exhibit a universal pattern of growth in the Krylov space of operators. This pattern becomes particularly manifest in the Lanczos basis, where the evolution superoperator assumes the tridiagonal form. According to the universal operator growth hypothesis, the nonzero elements of the superoperator, known as Lanczos coefficients, grow asymptotically linearly. We introduce and explore broad families of Lanczos coefficients that are consistent with the universal operator growth and lead to the exactly solvable dynamics. Within these families, the su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.03435","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/2504.03435/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":"2504.03435","created_at":"2026-07-05T12:08:01.917134+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.03435v3","created_at":"2026-07-05T12:08:01.917134+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.03435","created_at":"2026-07-05T12:08:01.917134+00:00"},{"alias_kind":"pith_short_12","alias_value":"HX3GYXF4YNVP","created_at":"2026-07-05T12:08:01.917134+00:00"},{"alias_kind":"pith_short_16","alias_value":"HX3GYXF4YNVP4XT4","created_at":"2026-07-05T12:08:01.917134+00:00"},{"alias_kind":"pith_short_8","alias_value":"HX3GYXF4","created_at":"2026-07-05T12:08:01.917134+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2503.24362","citing_title":"Recursion method for quench dynamics: strengths and limitations","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2507.06286","citing_title":"Krylov Complexity","ref_index":141,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HX3GYXF4YNVP4XT4UTLLCR5EYE","json":"https://pith.science/pith/HX3GYXF4YNVP4XT4UTLLCR5EYE.json","graph_json":"https://pith.science/api/pith-number/HX3GYXF4YNVP4XT4UTLLCR5EYE/graph.json","events_json":"https://pith.science/api/pith-number/HX3GYXF4YNVP4XT4UTLLCR5EYE/events.json","paper":"https://pith.science/paper/HX3GYXF4"},"agent_actions":{"view_html":"https://pith.science/pith/HX3GYXF4YNVP4XT4UTLLCR5EYE","download_json":"https://pith.science/pith/HX3GYXF4YNVP4XT4UTLLCR5EYE.json","view_paper":"https://pith.science/paper/HX3GYXF4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.03435&json=true","fetch_graph":"https://pith.science/api/pith-number/HX3GYXF4YNVP4XT4UTLLCR5EYE/graph.json","fetch_events":"https://pith.science/api/pith-number/HX3GYXF4YNVP4XT4UTLLCR5EYE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HX3GYXF4YNVP4XT4UTLLCR5EYE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HX3GYXF4YNVP4XT4UTLLCR5EYE/action/storage_attestation","attest_author":"https://pith.science/pith/HX3GYXF4YNVP4XT4UTLLCR5EYE/action/author_attestation","sign_citation":"https://pith.science/pith/HX3GYXF4YNVP4XT4UTLLCR5EYE/action/citation_signature","submit_replication":"https://pith.science/pith/HX3GYXF4YNVP4XT4UTLLCR5EYE/action/replication_record"}},"created_at":"2026-07-05T12:08:01.917134+00:00","updated_at":"2026-07-05T12:08:01.917134+00:00"}