{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:ULVPZR4EB5DSCHFWVSILVCHZGL","short_pith_number":"pith:ULVPZR4E","schema_version":"1.0","canonical_sha256":"a2eafcc7840f47211cb6ac90ba88f932ce41aa2047a04d3828c9e2054ed59d94","source":{"kind":"arxiv","id":"2203.14330","version":5},"attestation_state":"computed","paper":{"title":"Cosmological Krylov Complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","gr-qc","hep-ph","quant-ph"],"primary_cat":"hep-th","authors_text":"Kiran Adhikari, Sayantan Choudhury","submitted_at":"2022-03-27T15:36:58Z","abstract_excerpt":"In this paper, we study the Krylov complexity ($K$) from the planar/inflationary patch of the de Sitter space using the two mode squeezed state formalism in the presence of an effective field having sound speed $c_s$. From our analysis, we obtain the explicit behavior of Krylov complexity ($K$) and lancoz coefficients ($b_n$) with respect to the conformal time scale and scale factor in the presence of effective sound speed $c_s$. Since lancoz coefficients ($b_n$) grow linearly with integer $n$, this suggests that universe acts like a chaotic system during this period. We also obtain the corres"},"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":"2203.14330","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-27T15:36:58Z","cross_cats_sorted":["cond-mat.stat-mech","gr-qc","hep-ph","quant-ph"],"title_canon_sha256":"3ebcf3d9745053d7e215434478779e9e23cc89959397e5c7b0f60d6dd58d46f7","abstract_canon_sha256":"7dbe035dc84b790f0ea129a5f794c15227a44fff15cefb6b975e679db36f8d7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:18:35.418205Z","signature_b64":"9q1rIgZ2h9q+SqfxOFLWMIOK9+l0IdCFt4xViFsM+QJ67hS3R3r3DlcDK/j2D25pKLzsJGg74vxsNLqtO/ypAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2eafcc7840f47211cb6ac90ba88f932ce41aa2047a04d3828c9e2054ed59d94","last_reissued_at":"2026-07-05T06:18:35.417783Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:18:35.417783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmological Krylov Complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","gr-qc","hep-ph","quant-ph"],"primary_cat":"hep-th","authors_text":"Kiran Adhikari, Sayantan Choudhury","submitted_at":"2022-03-27T15:36:58Z","abstract_excerpt":"In this paper, we study the Krylov complexity ($K$) from the planar/inflationary patch of the de Sitter space using the two mode squeezed state formalism in the presence of an effective field having sound speed $c_s$. From our analysis, we obtain the explicit behavior of Krylov complexity ($K$) and lancoz coefficients ($b_n$) with respect to the conformal time scale and scale factor in the presence of effective sound speed $c_s$. Since lancoz coefficients ($b_n$) grow linearly with integer $n$, this suggests that universe acts like a chaotic system during this period. We also obtain the corres"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.14330","kind":"arxiv","version":5},"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/2203.14330/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":"2203.14330","created_at":"2026-07-05T06:18:35.417839+00:00"},{"alias_kind":"arxiv_version","alias_value":"2203.14330v5","created_at":"2026-07-05T06:18:35.417839+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.14330","created_at":"2026-07-05T06:18:35.417839+00:00"},{"alias_kind":"pith_short_12","alias_value":"ULVPZR4EB5DS","created_at":"2026-07-05T06:18:35.417839+00:00"},{"alias_kind":"pith_short_16","alias_value":"ULVPZR4EB5DSCHFW","created_at":"2026-07-05T06:18:35.417839+00:00"},{"alias_kind":"pith_short_8","alias_value":"ULVPZR4E","created_at":"2026-07-05T06:18:35.417839+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2412.08925","citing_title":"Generalized CV Conjecture and Krylov Complexity in Two-Mode Hermitian Systems via Information Geometry","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ULVPZR4EB5DSCHFWVSILVCHZGL","json":"https://pith.science/pith/ULVPZR4EB5DSCHFWVSILVCHZGL.json","graph_json":"https://pith.science/api/pith-number/ULVPZR4EB5DSCHFWVSILVCHZGL/graph.json","events_json":"https://pith.science/api/pith-number/ULVPZR4EB5DSCHFWVSILVCHZGL/events.json","paper":"https://pith.science/paper/ULVPZR4E"},"agent_actions":{"view_html":"https://pith.science/pith/ULVPZR4EB5DSCHFWVSILVCHZGL","download_json":"https://pith.science/pith/ULVPZR4EB5DSCHFWVSILVCHZGL.json","view_paper":"https://pith.science/paper/ULVPZR4E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2203.14330&json=true","fetch_graph":"https://pith.science/api/pith-number/ULVPZR4EB5DSCHFWVSILVCHZGL/graph.json","fetch_events":"https://pith.science/api/pith-number/ULVPZR4EB5DSCHFWVSILVCHZGL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ULVPZR4EB5DSCHFWVSILVCHZGL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ULVPZR4EB5DSCHFWVSILVCHZGL/action/storage_attestation","attest_author":"https://pith.science/pith/ULVPZR4EB5DSCHFWVSILVCHZGL/action/author_attestation","sign_citation":"https://pith.science/pith/ULVPZR4EB5DSCHFWVSILVCHZGL/action/citation_signature","submit_replication":"https://pith.science/pith/ULVPZR4EB5DSCHFWVSILVCHZGL/action/replication_record"}},"created_at":"2026-07-05T06:18:35.417839+00:00","updated_at":"2026-07-05T06:18:35.417839+00:00"}