{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:U37MFZF52HG2QLIQWT4N77NNC7","short_pith_number":"pith:U37MFZF5","schema_version":"1.0","canonical_sha256":"a6fec2e4bdd1cda82d10b4f8dffdad17c4c5543a88d6cdb5c0e1ca4ea72aaa7b","source":{"kind":"arxiv","id":"2306.05542","version":2},"attestation_state":"computed","paper":{"title":"Operator growth and Krylov Complexity in Bose-Hubbard Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"hep-th","authors_text":"Arpan Bhattacharyya, Debodirna Ghosh, Poulami Nandi","submitted_at":"2023-06-08T20:24:03Z","abstract_excerpt":"We study Krylov complexity of a one-dimensional Bosonic system, the celebrated Bose-Hubbard Model. The Bose-Hubbard Hamiltonian consists of interacting bosons on a lattice, describing ultra-cold atoms. Apart from showing superfluid-Mott insulator phase transition, the model also exhibits both chaotic and integrable (mixed) dynamics depending on the value of the interaction parameter. We focus on the three-site Bose Hubbard Model (with different particle numbers), which is known to be highly mixed. We use the Lanczos algorithm to find the Lanczos coefficients and the Krylov basis. The orthonorm"},"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":"2306.05542","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-08T20:24:03Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"9e0f32459a692d1c4952fe9f42980c0ca6600ebc41362b37b587fcb822942efe","abstract_canon_sha256":"df1c24123a815c05d553139e4a8f0c0a5654265a18d4b4d5d6d83455262eeddc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:29:11.289948Z","signature_b64":"48x69mj+OnbaTq5Xq7zB1jLo/yQnzF2HrnLng2KFc9QjSZl4NoB4lCqkdTOs2UykR9nIORFwMUU18Psj8eZBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6fec2e4bdd1cda82d10b4f8dffdad17c4c5543a88d6cdb5c0e1ca4ea72aaa7b","last_reissued_at":"2026-07-05T07:29:11.289398Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:29:11.289398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Operator growth and Krylov Complexity in Bose-Hubbard Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"hep-th","authors_text":"Arpan Bhattacharyya, Debodirna Ghosh, Poulami Nandi","submitted_at":"2023-06-08T20:24:03Z","abstract_excerpt":"We study Krylov complexity of a one-dimensional Bosonic system, the celebrated Bose-Hubbard Model. The Bose-Hubbard Hamiltonian consists of interacting bosons on a lattice, describing ultra-cold atoms. Apart from showing superfluid-Mott insulator phase transition, the model also exhibits both chaotic and integrable (mixed) dynamics depending on the value of the interaction parameter. We focus on the three-site Bose Hubbard Model (with different particle numbers), which is known to be highly mixed. We use the Lanczos algorithm to find the Lanczos coefficients and the Krylov basis. The orthonorm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.05542","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/2306.05542/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":"2306.05542","created_at":"2026-07-05T07:29:11.289459+00:00"},{"alias_kind":"arxiv_version","alias_value":"2306.05542v2","created_at":"2026-07-05T07:29:11.289459+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.05542","created_at":"2026-07-05T07:29:11.289459+00:00"},{"alias_kind":"pith_short_12","alias_value":"U37MFZF52HG2","created_at":"2026-07-05T07:29:11.289459+00:00"},{"alias_kind":"pith_short_16","alias_value":"U37MFZF52HG2QLIQ","created_at":"2026-07-05T07:29:11.289459+00:00"},{"alias_kind":"pith_short_8","alias_value":"U37MFZF5","created_at":"2026-07-05T07:29:11.289459+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2506.01957","citing_title":"Violation of Universal Operator Growth Hypothesis in $\\mathcal{W}_3$Conformal Field Theories","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2509.04075","citing_title":"Complexity of Quadratic Quantum Chaos","ref_index":55,"is_internal_anchor":false},{"citing_arxiv_id":"2509.14810","citing_title":"Krylov Complexity for Open Quantum System: Dissipation and Decoherence","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2507.06286","citing_title":"Krylov Complexity","ref_index":71,"is_internal_anchor":false},{"citing_arxiv_id":"2604.20619","citing_title":"Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems","ref_index":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U37MFZF52HG2QLIQWT4N77NNC7","json":"https://pith.science/pith/U37MFZF52HG2QLIQWT4N77NNC7.json","graph_json":"https://pith.science/api/pith-number/U37MFZF52HG2QLIQWT4N77NNC7/graph.json","events_json":"https://pith.science/api/pith-number/U37MFZF52HG2QLIQWT4N77NNC7/events.json","paper":"https://pith.science/paper/U37MFZF5"},"agent_actions":{"view_html":"https://pith.science/pith/U37MFZF52HG2QLIQWT4N77NNC7","download_json":"https://pith.science/pith/U37MFZF52HG2QLIQWT4N77NNC7.json","view_paper":"https://pith.science/paper/U37MFZF5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2306.05542&json=true","fetch_graph":"https://pith.science/api/pith-number/U37MFZF52HG2QLIQWT4N77NNC7/graph.json","fetch_events":"https://pith.science/api/pith-number/U37MFZF52HG2QLIQWT4N77NNC7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U37MFZF52HG2QLIQWT4N77NNC7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U37MFZF52HG2QLIQWT4N77NNC7/action/storage_attestation","attest_author":"https://pith.science/pith/U37MFZF52HG2QLIQWT4N77NNC7/action/author_attestation","sign_citation":"https://pith.science/pith/U37MFZF52HG2QLIQWT4N77NNC7/action/citation_signature","submit_replication":"https://pith.science/pith/U37MFZF52HG2QLIQWT4N77NNC7/action/replication_record"}},"created_at":"2026-07-05T07:29:11.289459+00:00","updated_at":"2026-07-05T07:29:11.289459+00:00"}