{"as_of":"2026-08-13T20:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3ecf34919b49b0bb5b4137453b454da24966317c737059ec6aed289325210349","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T07:23:17.393589Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.10454/citation-record","integrity":"/paper/2607.10454/integrity","json":"/paper/2607.10454/citation-record.json","paper":"/paper/2607.10454"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:13.780576Z","title":"Nandy, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:13.780576Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:af1cbe3d04a5056a7b5e79b4e0193ca3c123acbec26e6faba2510e7e0510be78","observation_id":"7940ff02-de99-4d03-8611-c9646f0adfbb","resolution":{"observed_at":"2026-08-02T07:23:13.780576Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:13.863057Z","title":"Krylov com- plexity, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:13.863057Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:260b881e5b7aec536c2a83a3935fafd41a20cac5df3c98725c723634308022be","observation_id":"ee958160-a33b-4be3-a8fd-978e84603d9c","resolution":{"observed_at":"2026-08-02T07:23:13.863057Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:13.962819Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:13.962819Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:cb396157e9462197497f92bceb39c1d3ec45ce9978cbc9aaa32168236728c06b","observation_id":"8352bc05-be06-44f9-bf63-1d260fdfe6dd","resolution":{"observed_at":"2026-08-02T07:23:13.962819Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.054492Z","title":"Dymarsky and M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.054492Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:3eb2808d974ee3a845b7ff61deedcff97767f918245000643a407fa38d4d7e81","observation_id":"2664dad0-dc9e-41a7-99e7-6f059abd4cbc","resolution":{"observed_at":"2026-08-02T07:23:14.054492Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.154867Z","title":"Krylov complexity under hamiltonian deformations and toda flows.Physical Review B, 113(14), April 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.154867Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:f6084805f52609761b164d19db38043a8b08103c67b2a06bbeb3adbcd7b9e528","observation_id":"9454849e-a75e-4349-a3f8-befc3295dac1","resolution":{"observed_at":"2026-08-02T07:23:14.154867Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.220953Z","title":"Caputa, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.220953Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:9d95494e646a9adefa76529888ba04de37fffa7d9b9c2452daa3b9c1b49dbcb9","observation_id":"80d10b3b-394b-4140-ac40-e020bbe492b9","resolution":{"observed_at":"2026-08-02T07:23:14.220953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.307174Z","title":"Caputa, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.307174Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:648133f3d78d9d6db067cabb5e9ac9d9aadcf9b1b8935ca6b6b164853561b604","observation_id":"a0a5bc05-588f-4878-8c9e-c03dcc059134","resolution":{"observed_at":"2026-08-02T07:23:14.307174Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.375883Z","title":"Faraji Astaneh and N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.375883Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:beb291b80289c2c81f015059f886556880dc4b8f0d6b2853f64220874d8ac484","observation_id":"d8d5e4d0-7f3d-4b6b-b4e2-cc1d8092ba20","resolution":{"observed_at":"2026-08-02T07:23:14.375883Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.473968Z","title":"On quantum complexity.Phys","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.473968Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:c627ae80b277f28a699f5474f214dd89cd569ee561dd958fdf9612583c925d96","observation_id":"ad0f5c3c-3e57-40ef-aafb-105331e46a98","resolution":{"observed_at":"2026-08-02T07:23:14.473968Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.561059Z","title":"Imani, Komeil Babaei Velni, and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.561059Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:7d9886273f7af9a604ef3acd4c91df52edbe33e45cb7f47e658425995b87d395","observation_id":"49903629-170b-4afb-918e-3dab9c818077","resolution":{"observed_at":"2026-08-02T07:23:14.561059Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.629397Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.629397Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:798fd7b18abaa2f393e77e9fbd53ab96280cdc571cc5d920e4010e3f603424fa","observation_id":"556f8b64-3a7f-4840-b66f-52a940a6cb2c","resolution":{"observed_at":"2026-08-02T07:23:14.629397Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.718885Z","title":"Sato and T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.718885Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:1af733bc5679e43b625b4dc20af122424d1c89b11c8d74746a9c8e856669c4b7","observation_id":"25e3c0fe-7815-4865-adf5-18355dd0b4f6","resolution":{"observed_at":"2026-08-02T07:23:14.718885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.812814Z","title":"Bukov, L","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.812814Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:22552e0763d165f9c5c652ba6fcb3f5564e30f8ea2be6741271e4d67e47b57c8","observation_id":"12c740ec-6578-43d0-af56-5973ece40528","resolution":{"observed_at":"2026-08-02T07:23:14.812814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:14.916513Z","title":"On the exponential solution of differential equations for a linear operator","venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:14.916513Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:61ccf3f4a7ef5f4c577729c8661bd54c86f8c7a001cd3d7bbeea98c5fa1f09e4","observation_id":"904ae6a8-c261-432a-9e3b-d7824dab69e2","resolution":{"observed_at":"2026-08-02T07:23:14.916513Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:15.080384Z","title":"Blanes, F","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:15.080384Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:213bb76388a021b8bd472a0b40f745279267ea214d3559dc11a6391119655eb3","observation_id":"87a3c100-b34b-460f-ae83-7483cd676407","resolution":{"observed_at":"2026-08-02T07:23:15.080384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:15.158311Z","title":"Convergence of the magnus series.Foundations of Computational Mathematics, 8(3):291–301, November 2007","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:15.158311Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:b17c4cb6368ee7714e4a069ec9a48b374b8237b5501fd2ba7b74ab2cfbf16b87","observation_id":"451266c3-5a24-4472-abc4-1786ae92da19","resolution":{"observed_at":"2026-08-02T07:23:15.158311Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:15.243826Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:15.243826Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:3779bc4348af073dd20a9b4f0f448fc2c1d128ac5f0617f690cb07777ec12b3e","observation_id":"015c444b-c0ce-4953-a227-8a9d4096e88c","resolution":{"observed_at":"2026-08-02T07:23:15.243826Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:15.375629Z","title":"Ashhab, J","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:15.375629Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:bdd433eb18b6e92c396cd34b8ef6275fe8529df87ce65af01b46aed0d480110c","observation_id":"09d8912f-1baf-4b54-85de-80001fe6be66","resolution":{"observed_at":"2026-08-02T07:23:15.375629Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:15.504897Z","title":"Cerf, Timothy C","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:15.504897Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:4e9c0377bef3ebfa691c87105778bd72575bd4bc332d25b9d575ea9db208d43c","observation_id":"f4730701-3458-4ff3-8626-a73017c311a7","resolution":{"observed_at":"2026-08-02T07:23:15.504897Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:15.628503Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:15.628503Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:9f68c7b5830b77c807592f2fb23af3059a37fbf4586ea8bac43d3574af2aade6","observation_id":"74d5985c-f370-4452-ac8f-4eab551a95a3","resolution":{"observed_at":"2026-08-02T07:23:15.628503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:15.757476Z","title":"Colloquium: Nonequilibrium dynamics of closed interacting quantum systems.Rev","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:15.757476Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:678cf63a6e1267cfdd11a454977408378b7298b3f57546fc48387f37d71593a8","observation_id":"537ec73f-b7ae-46cd-a43d-a26093f2c3f7","resolution":{"observed_at":"2026-08-02T07:23:15.757476Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:15.831270Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:15.831270Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:9340b386c40d14b85e9547e44cecd7897ddd6b80ba1f9e57fc11c5ca698cab0a","observation_id":"71f451ee-6223-4f46-895a-2dbf8fd9e44d","resolution":{"observed_at":"2026-08-02T07:23:15.831270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:15.882485Z","title":"Universal model of floquet operator krylov space.Phys- ical Review B, 110(15), October 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:15.882485Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:f15d25ae3c6be9598663c10effa977652f2745161c1b9779de79d1ee6459e13d","observation_id":"7b016010-05f5-4b5d-9dd6-326892966b4c","resolution":{"observed_at":"2026-08-02T07:23:15.882485Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:15.970002Z","title":"Yates and Aditi Mitra","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:15.970002Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:b022909a95dbfa78ab30e3a47b2e8c19fc9eb803823a9889a5cc5dcdca65593e","observation_id":"50d0c3e6-ef40-40c4-95d8-c90f6f6996a7","resolution":{"observed_at":"2026-08-02T07:23:15.970002Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:16.119627Z","title":"Nizami and Ankit W","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:16.119627Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:ba4bfc0dd60716bcd9e407b45097f2204dfc93f82c2f06ee7558d9debb9c23fb","observation_id":"273a7abb-75fa-4762-9ede-50bce888802b","resolution":{"observed_at":"2026-08-02T07:23:16.119627Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:16.234387Z","title":"Nizami and Ankit W","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:16.234387Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:7b3c30d9970ea68d76acb8cf8363f5283bfd42c83256397dad420f35033e98ad","observation_id":"3e457b9d-782d-4bb3-a890-d6f0d5b9f521","resolution":{"observed_at":"2026-08-02T07:23:16.234387Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:16.406460Z","title":"Takahashi and A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:16.406460Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:c30cb336ade4e33a4c1ea72c175ac57f410b22ae40b9ae53864b158eb287ed39","observation_id":"19dba410-c677-41df-ab53-962cb8cd4e5c","resolution":{"observed_at":"2026-08-02T07:23:16.406460Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:16.541341Z","title":"Universal growth of krylov complexity across a quantum phase transition, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:16.541341Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:343c2bac22af13d7e56367a9bbad96cb6ccd34881c4de2b24359802cea033884","observation_id":"923cbff8-8e4c-4034-922e-05b9d3d9ce3d","resolution":{"observed_at":"2026-08-02T07:23:16.541341Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:16.703545Z","title":"del Campo and W","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:16.703545Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:fdfe9bb77c78b04b2b95289f2d72ad7e7efb6fb3390e4f5657ad21a6b7e7c111","observation_id":"e4a4a49a-1ced-46a4-8c18-7a83b583d1df","resolution":{"observed_at":"2026-08-02T07:23:16.703545Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:16.892831Z","title":"Medina-Guerra, and Adolfo del Campo","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:16.892831Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:2d773a384b7b1a8d0611fe7ce7be3ba8289a382da25207dfcd3596be6304819c","observation_id":"d4fa40cf-6e52-4c73-88a2-ab412ca3785b","resolution":{"observed_at":"2026-08-02T07:23:16.892831Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:17.039362Z","title":"Alishahiha and K","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:17.039362Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:bdd38947caaa71457678b60ee2d6bcc4c567a1563d5f65f8e82a02d9d8d87a34","observation_id":"967e4ee7-6059-40d2-ad3d-1d632b06033a","resolution":{"observed_at":"2026-08-02T07:23:17.039362Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:17.182636Z","title":"Faraji Astaneh and N","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:17.182636Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:6cf88d32e76e534d379cbee002df0abfa66673935e33171267e62e9cb80a4878","observation_id":"0b9e80d8-b67a-4308-83fc-f7c87f6f909e","resolution":{"observed_at":"2026-08-02T07:23:17.182636Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:17.255544Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:17.255544Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:75a335afb450e4b904c87bb80173dbdbb902bc95acf2d56341bea87579285bc8","observation_id":"fab9b489-847f-4a6a-9553-33f18058474c","resolution":{"observed_at":"2026-08-02T07:23:17.255544Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T07:23:17.393589Z","title":"Balasubramanian, P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-02T07:23:17.393589Z"},"links":{"citing_paper":"/paper/2607.10454"},"observation_digest":"sha256:bc6ee79a1d56ec2193bd3d562259b898e575b45c123cc976de2e7abda9a4b7db","observation_id":"ba3c99ab-6dc1-45cf-9dca-0fcd0c453b73","resolution":{"observed_at":"2026-08-02T07:23:17.393589Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.10454","last_updated":"2026-07-15T21:10:13Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-02T07:23:12.851914Z","submitted_at":"2026-07-11T19:37:55Z","title":"Krylov Complexity for Time-Dependent Hamiltonians"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":34,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":34},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.10454."}