{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:UBPC6B2F4UX57OELC3WNKZOOKI","short_pith_number":"pith:UBPC6B2F","schema_version":"1.0","canonical_sha256":"a05e2f0745e52fdfb88b16ecd565ce52330d79e04a17563950d5e50bfad50b55","source":{"kind":"arxiv","id":"2302.10489","version":2},"attestation_state":"computed","paper":{"title":"Spread complexity as classical dilaton solutions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Arghya Chattopadhyay, Arpita Mitra, Hendrik J.R. Van Zyl","submitted_at":"2023-02-21T07:37:52Z","abstract_excerpt":"We demonstrate a relation between Nielsen's approach towards circuit complexity and Krylov complexity through a particular construction of quantum state space geometry. We start by associating K\\\"ahler structures on the full projective Hilbert space of low rank algebras. This geometric structure of the states in the Hilbert space ensures that every unitary transformation of the associated algebras leave the metric and the symplectic forms invariant. We further associate a classical matter free Jackiw-Teitelboim (JT) gravity model with these state manifolds and show that the dilaton can be inte"},"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":"2302.10489","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-02-21T07:37:52Z","cross_cats_sorted":[],"title_canon_sha256":"eae4d77632dd302c84dc29b75c4ba33d54ecf30c65f89eff521c5b1d061ebb8b","abstract_canon_sha256":"4416a717bc853c0a52e129121d825da183755f478f05740d66eeb3b946eafa91"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:36:29.826511Z","signature_b64":"/iPPTxB1jP4K24YYJqKexBvpjiRs6s5o7/aLGik+o2xLJyqGhR2A7CniJDAIqSUakzpXF2Yec+S1pbFGk9bYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a05e2f0745e52fdfb88b16ecd565ce52330d79e04a17563950d5e50bfad50b55","last_reissued_at":"2026-07-05T06:36:29.826017Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:36:29.826017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spread complexity as classical dilaton solutions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Arghya Chattopadhyay, Arpita Mitra, Hendrik J.R. Van Zyl","submitted_at":"2023-02-21T07:37:52Z","abstract_excerpt":"We demonstrate a relation between Nielsen's approach towards circuit complexity and Krylov complexity through a particular construction of quantum state space geometry. We start by associating K\\\"ahler structures on the full projective Hilbert space of low rank algebras. This geometric structure of the states in the Hilbert space ensures that every unitary transformation of the associated algebras leave the metric and the symplectic forms invariant. We further associate a classical matter free Jackiw-Teitelboim (JT) gravity model with these state manifolds and show that the dilaton can be inte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.10489","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/2302.10489/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":"2302.10489","created_at":"2026-07-05T06:36:29.826077+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.10489v2","created_at":"2026-07-05T06:36:29.826077+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.10489","created_at":"2026-07-05T06:36:29.826077+00:00"},{"alias_kind":"pith_short_12","alias_value":"UBPC6B2F4UX5","created_at":"2026-07-05T06:36:29.826077+00:00"},{"alias_kind":"pith_short_16","alias_value":"UBPC6B2F4UX57OEL","created_at":"2026-07-05T06:36:29.826077+00:00"},{"alias_kind":"pith_short_8","alias_value":"UBPC6B2F","created_at":"2026-07-05T06:36:29.826077+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.21662","citing_title":"On the Universality of Probe Complexity in $\\mathcal{N}=4$ SYM","ref_index":31,"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":19,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UBPC6B2F4UX57OELC3WNKZOOKI","json":"https://pith.science/pith/UBPC6B2F4UX57OELC3WNKZOOKI.json","graph_json":"https://pith.science/api/pith-number/UBPC6B2F4UX57OELC3WNKZOOKI/graph.json","events_json":"https://pith.science/api/pith-number/UBPC6B2F4UX57OELC3WNKZOOKI/events.json","paper":"https://pith.science/paper/UBPC6B2F"},"agent_actions":{"view_html":"https://pith.science/pith/UBPC6B2F4UX57OELC3WNKZOOKI","download_json":"https://pith.science/pith/UBPC6B2F4UX57OELC3WNKZOOKI.json","view_paper":"https://pith.science/paper/UBPC6B2F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.10489&json=true","fetch_graph":"https://pith.science/api/pith-number/UBPC6B2F4UX57OELC3WNKZOOKI/graph.json","fetch_events":"https://pith.science/api/pith-number/UBPC6B2F4UX57OELC3WNKZOOKI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UBPC6B2F4UX57OELC3WNKZOOKI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UBPC6B2F4UX57OELC3WNKZOOKI/action/storage_attestation","attest_author":"https://pith.science/pith/UBPC6B2F4UX57OELC3WNKZOOKI/action/author_attestation","sign_citation":"https://pith.science/pith/UBPC6B2F4UX57OELC3WNKZOOKI/action/citation_signature","submit_replication":"https://pith.science/pith/UBPC6B2F4UX57OELC3WNKZOOKI/action/replication_record"}},"created_at":"2026-07-05T06:36:29.826077+00:00","updated_at":"2026-07-05T06:36:29.826077+00:00"}