{"as_of":"2026-08-08T07:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3c050813654aaf6a377a55e71dcd4d2fe6f0284607e06edfed51763e39c1d8bf","coverage":[{"denominator":79,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":79,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T11:03:42.992266Z","state":"measured"},{"denominator":80,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":80,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-08T17:23:24.715926Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T17:36:06.992695Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"cited_work":{"arxiv_id":"2601.07937","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2601.07937","snapshot_observed_at":"2026-08-03T02:12:13.729474Z","title":"Qi and C","venue":null,"work_id":"6db0e740-d0c5-45d2-8bf4-91693b6ab9ef","year":2026},"citing_paper":{"arxiv_id":"2605.05299","last_updated":"2026-05-06T18:00:01Z","snapshot_observed_at":"2026-07-06T23:17:58.119336Z","submitted_at":"2026-05-06T18:00:01Z","title":"Universal Neural Propagator: Learning Time Evolution in Many-Body Quantum Systems","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-05-08T17:23:24.715926Z"},"links":{"cited_paper":"/paper/2601.07937","citing_paper":"/paper/2605.05299"},"observation_digest":"sha256:ce45c709b7b957bcfac63e514c8fb89b1a23ea141c7201d667f8dd4a2ec8043a","observation_id":"bef84266-e297-45d7-a6a3-193de10101a3","resolution":{"observed_at":"2026-08-03T02:12:13.729474Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2601.07937/citation-record","integrity":"/paper/2601.07937/integrity","json":"/paper/2601.07937/citation-record.json","paper":"/paper/2601.07937"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T11:03:34.898133Z","title":"zero-shot transferability","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:34.898133Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:acfabacc171412eaf1561c7393b51965ed13d8ee25835c58b3b02b95d070c887","observation_id":"dfcc2905-4f3e-4a33-baaa-f9364ab8b1d7","resolution":{"observed_at":"2026-08-03T11:03:34.898133Z","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":"2026-08-03T11:03:35.018230Z","title":"Srednicki, Chaos and quantum thermalization, Phys","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.018230Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:0199148332b483cee8278262923ae5feb59ea0b179e938b1e74b5f4de9780133","observation_id":"84f2328a-697f-4332-b6a8-b7a877a43b5e","resolution":{"observed_at":"2026-08-03T11:03:35.018230Z","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":"2026-08-03T11:03:35.112813Z","title":null,"venue":null,"work_id":null,"year":2046},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.112813Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:bc478e0614738ae5cb33f04082f7bdd8b7d47f66b3186944f0271dba871e7305","observation_id":"4567fe5b-35cf-4224-be7a-77193a5b3dc3","resolution":{"observed_at":"2026-08-03T11:03:35.112813Z","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":"2026-08-03T11:03:35.169905Z","title":"Rigol, V","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.169905Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:e8af3c4201e7c97a7d9736f216a97896dbe1ef6daf80cc05392a4bc44add5b24","observation_id":"1d6bfab6-b266-4d3f-ab67-73addaa15957","resolution":{"observed_at":"2026-08-03T11:03:35.169905Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.06411","last_updated":"2016-08-01T15:22:57Z","snapshot_observed_at":"2026-07-06T04:30:36.524795Z","submitted_at":"2015-09-21T21:52:33Z","title":"From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.06411","snapshot_observed_at":"2026-08-03T11:03:35.262064Z","title":"D’Alessio, Y","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.262064Z"},"links":{"cited_paper":"/paper/1509.06411","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:8898212b51c1271df74301275c1cebf7d44942e40713a105dc0bc22c0b6475b6","observation_id":"164ba50b-3174-4c23-becb-4bde6c0f0dd5","resolution":{"observed_at":"2026-08-03T11:03:35.262064Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1503.07538","last_updated":"2018-06-13T14:53:41Z","snapshot_observed_at":"2026-07-06T04:13:06.981423Z","submitted_at":"2015-03-25T20:07:59Z","title":"Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1503.07538","snapshot_observed_at":"2026-08-03T11:03:35.333512Z","title":"Gogolin and J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.333512Z"},"links":{"cited_paper":"/paper/1503.07538","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:4fddb55d4b98989f58c6bb45bd1fcb0ef069a1909dbd43ae84eb4bc2268deea5","observation_id":"b008821e-be4d-4587-91c8-b90e864ec1af","resolution":{"observed_at":"2026-08-03T11:03:35.333512Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.5148","last_updated":"2015-09-01T16:19:03Z","snapshot_observed_at":"2026-07-06T03:52:20.144979Z","submitted_at":"2014-08-21T20:10:11Z","title":"Quantum many-body systems out of equilibrium","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.5148","snapshot_observed_at":"2026-08-03T11:03:35.402864Z","title":"Eisert, M","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.402864Z"},"links":{"cited_paper":"/paper/1408.5148","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:7711ba2c5fc2e4e8210f741f5781be6b70646b44d0499b23b1756b02e9d020d5","observation_id":"49ab18e3-8ba6-48a7-97e6-880ba283f348","resolution":{"observed_at":"2026-08-03T11:03:35.402864Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1007.5331","last_updated":"2011-08-15T17:41:34Z","snapshot_observed_at":"2026-07-06T02:13:42.163887Z","submitted_at":"2010-07-29T20:38:25Z","title":"Nonequilibrium dynamics of closed interacting quantum systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1007.5331","snapshot_observed_at":"2026-08-03T11:03:35.491577Z","title":"Polkovnikov, K","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.491577Z"},"links":{"cited_paper":"/paper/1007.5331","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:fd6ad88e2481f816269ddaf9d543f13494d162512edfeb1243fd83fed178c56e","observation_id":"51f2e467-1b26-42ef-b2b4-8225a933f717","resolution":{"observed_at":"2026-08-03T11:03:35.491577Z","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":"2026-08-03T11:03:35.598381Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.598381Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:46f50be492457c3f2907e8381ea620afd5f643ca93060c451f13ef77d9b277e7","observation_id":"2a14fcc9-7f60-48f5-9926-6799f25b0af9","resolution":{"observed_at":"2026-08-03T11:03:35.598381Z","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":"2026-08-03T11:03:35.752615Z","title":"Maldacena, S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.752615Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:3305d0426d663eb7d003bc5de7fcc0561d7612dc25acde6aa7ba066e625e7c64","observation_id":"eb79312f-2007-4605-b4cf-547b52edbf96","resolution":{"observed_at":"2026-08-03T11:03:35.752615Z","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":"2026-08-03T11:03:35.884441Z","title":null,"venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.884441Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:079e0ea6c81c32cf516a42c0274038144705954809cac406a4bc410215d35782","observation_id":"60eb7075-ca79-4340-869e-c423ab586400","resolution":{"observed_at":"2026-08-03T11:03:35.884441Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0708.4025","last_updated":"2007-09-21T15:23:15Z","snapshot_observed_at":"2026-07-06T01:29:37.158935Z","submitted_at":"2007-08-29T22:35:15Z","title":"Black holes as mirrors: quantum information in random subsystems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0708.4025","snapshot_observed_at":"2026-08-03T11:03:35.929404Z","title":"Hayden and J","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.929404Z"},"links":{"cited_paper":"/paper/0708.4025","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:8d3957c292b69d508865bfe1ea1f91c1cada16a7ea9e3c7532dda756abf30131","observation_id":"29f24a8c-1344-4c3c-969d-993ea4bc1e2d","resolution":{"observed_at":"2026-08-03T11:03:35.929404Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0808.2096","last_updated":"2008-08-15T06:17:16Z","snapshot_observed_at":"2026-07-06T01:46:46.102553Z","submitted_at":"2008-08-15T06:17:16Z","title":"Fast Scramblers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0808.2096","snapshot_observed_at":"2026-08-03T11:03:35.966359Z","title":"Sekino and L","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:35.966359Z"},"links":{"cited_paper":"/paper/0808.2096","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:15fe59a29fe7159c649dd91524bc593f8d273c274233f4a88f5235c59079a65a","observation_id":"45dc6cab-c601-4565-87da-61803d833e40","resolution":{"observed_at":"2026-08-03T11:03:35.966359Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.04021","last_updated":"2016-03-03T21:17:22Z","snapshot_observed_at":"2026-07-06T04:36:17.456929Z","submitted_at":"2015-11-12T19:24:48Z","title":"Chaos in quantum channels","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.04021","snapshot_observed_at":"2026-08-03T11:03:36.014729Z","title":"Hosur, X.-L","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.014729Z"},"links":{"cited_paper":"/paper/1511.04021","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:71125c3ad17c51271988e005b7e44a1e32e76378eb7ff366e1ce3778dc808491","observation_id":"28e6b7c9-5ce2-4404-9a78-70b51f9373d6","resolution":{"observed_at":"2026-08-03T11:03:36.014729Z","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":"2026-08-03T11:03:36.099350Z","title":"Swingle, Unscrambling the physics of out-of-time- order correlators, Nature Physics14, 988 (2018)","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.099350Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:7090d4a5a19b770de28dbd9703fdc34bbd97be6285ce65b3ff3cedadc4e45a84","observation_id":"464822e1-e3d0-4a2b-b1af-b601f07988ed","resolution":{"observed_at":"2026-08-03T11:03:36.099350Z","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":"2026-08-03T11:03:36.141262Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.141262Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:ca84d0482ad5119a8620313492634e6856fb4c74c54198d448427efeb238c7fe","observation_id":"b881ed02-91dc-4ca3-b906-5a6a39df2319","resolution":{"observed_at":"2026-08-03T11:03:36.141262Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.03824","last_updated":"2021-10-04T15:23:18Z","snapshot_observed_at":"2026-08-07T05:42:53.312069Z","submitted_at":"2021-09-08T18:00:00Z","title":"Geometry of Krylov Complexity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.03824","snapshot_observed_at":"2026-08-03T11:03:36.208190Z","title":"Caputa, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.208190Z"},"links":{"cited_paper":"/paper/2109.03824","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:347684a408f5708d8b5987f8d06a1d9ce055957856532578205ccb2d3e9e998e","observation_id":"901d13ee-739a-4509-a9ba-f52fbb346533","resolution":{"observed_at":"2026-08-03T11:03:36.208190Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.09628","last_updated":"2025-05-15T07:39:48Z","snapshot_observed_at":"2026-08-02T06:10:12.089601Z","submitted_at":"2024-05-15T18:00:09Z","title":"Quantum Dynamics in Krylov Space: Methods and Applications","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.09628","snapshot_observed_at":"2026-08-03T11:03:36.277880Z","title":"Nandy, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.277880Z"},"links":{"cited_paper":"/paper/2405.09628","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:7efe974f699799b581ffcee320e51e794a63157e5bf0a9f1130e9c3b98ca9050","observation_id":"d464fd11-36ce-4b34-9e2c-ba499944a6fa","resolution":{"observed_at":"2026-08-03T11:03:36.277880Z","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":"2026-08-03T11:03:36.356940Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.356940Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:0a1c13d6b2773867b1168d5491aa7d510cb7fc7027153bb4c43f735d1c87b49e","observation_id":"a2f92417-964d-4b4a-80c0-e6bf1ddc08ec","resolution":{"observed_at":"2026-08-03T11:03:36.356940Z","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":"2026-08-03T11:03:36.435457Z","title":"Bhattacharya, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.435457Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:d090272afe637b330245fe1e2b1f2a7d3a457b335bdbe673ee8339d990942e4f","observation_id":"cb5b6816-d007-43f1-aad0-802fe75fa630","resolution":{"observed_at":"2026-08-03T11:03:36.435457Z","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":"2026-08-03T11:03:36.498331Z","title":"Bhattacharjee, X","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.498331Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:6caad8fccfe32f585b9fe9c9bdcedb4e97745e31bb351eb017db028d55c58e79","observation_id":"473f505b-fa2f-452d-9214-b10da12da584","resolution":{"observed_at":"2026-08-03T11:03:36.498331Z","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":"2026-08-03T11:03:36.555470Z","title":"Bhattacharya, P","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.555470Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:27aff58737146c15c33cca221507488af76106484b4d376dc14e55b7f9ccb113","observation_id":"97dacc5d-553d-483d-a255-4a87cd74f1a9","resolution":{"observed_at":"2026-08-03T11:03:36.555470Z","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":"2026-08-03T11:03:36.616751Z","title":"Bhattacharya, P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.616751Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:c2ab7d53de84d7353198d4c9a71783e43bc12f3dd2adefbe2d6caab88c636a0f","observation_id":"39baae71-0f14-4231-8752-856cb3b8182c","resolution":{"observed_at":"2026-08-03T11:03:36.616751Z","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":"2026-08-03T11:03:36.804123Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.804123Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:b72d003fdf0d0aa154216f102acbbcc43b4c3b48a0cc75da65f932abcc674e5a","observation_id":"fc5d6cdb-e3dd-449c-aeaa-a47e3a9b3e45","resolution":{"observed_at":"2026-08-03T11:03:36.804123Z","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":"2026-08-03T11:03:36.863069Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.863069Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:da0385dba1029eb5241db2b4da9d33d5e85c3321db6a0c038a6f447c3e9bf4ae","observation_id":"a271b4f1-966a-4d4e-a6f9-c77c1f0a9402","resolution":{"observed_at":"2026-08-03T11:03:36.863069Z","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":"2026-08-03T11:03:36.898618Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.898618Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:87d78ace859593c502aebc578e4aea385f79f187a67e31db24297e7f55f93c2b","observation_id":"9590bb99-ff65-4c56-b367-3469adc19268","resolution":{"observed_at":"2026-08-03T11:03:36.898618Z","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":"2026-08-03T11:03:36.963304Z","title":"Cao, A statistical mechanism for operator growth, Journal of Physics A: Mathematical and Theoretical54, 144001 (2021)","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:36.963304Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:0473b92d80546a1ed38157443f367ee25d8299f31b1f9e6998465ceb7ea9db17","observation_id":"ebf63f05-d6d3-4d04-9681-f20eeb753091","resolution":{"observed_at":"2026-08-03T11:03:36.963304Z","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":"2026-08-03T11:03:37.053622Z","title":"Yi-Thomas, B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.053622Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:cc9bdcd4fca0478d5d7f1df956441757e02fe7270bb001d2fbbae34a71e919bb","observation_id":"79665240-aa1b-4d84-a18f-9a5dbfc5a835","resolution":{"observed_at":"2026-08-03T11:03:37.053622Z","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":"2026-08-03T11:03:37.129393Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.129393Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:208745809c4ab0186a11e92c9121fee68a2783a0d4d874b23a1a0c063fd357ef","observation_id":"7d922232-52f6-4f69-925a-8ca82e6f004f","resolution":{"observed_at":"2026-08-03T11:03:37.129393Z","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":"2026-08-03T11:03:37.194327Z","title":"Bartsch, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.194327Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:3eebf07b6f937e347b8e6025df7fcb126f313bdfe12aa97805fd3cf4e1473924","observation_id":"fa073edc-ec7b-4e97-94b4-25e214455d05","resolution":{"observed_at":"2026-08-03T11:03:37.194327Z","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":"2026-08-03T11:03:37.260433Z","title":"Teretenkov, F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.260433Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:a6c3a2e887319c7c728aa0fd01f516745ab5289237894ee6382f579c26dab82f","observation_id":"e98676bd-a1b1-4fd4-873e-f5faac20ee13","resolution":{"observed_at":"2026-08-03T11:03:37.260433Z","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":"2026-08-03T11:03:37.355578Z","title":"Pinna, O","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.355578Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:5e026e61019d5d2d7c096916adc645b4a22352dcfdfebcabf36703d5ff5b7777","observation_id":"825672bb-aa3a-45db-b364-2b5627061ec8","resolution":{"observed_at":"2026-08-03T11:03:37.355578Z","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":"2026-08-03T11:03:37.494200Z","title":"Ballar Trigueros and C.-J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.494200Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:5f92e3986a751a89ae72483ab961070c8c493516c7f55818cb065879910b2ea1","observation_id":"a8a52488-d3b7-411e-8b54-ed2e810d06d3","resolution":{"observed_at":"2026-08-03T11:03:37.494200Z","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":"2026-08-03T11:03:37.577518Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.577518Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:810189582833c30e5754f1b9f724c0ce756ac8616b17af76edd88b0fc337756c","observation_id":"cdc95493-9b9c-4ae5-9e3e-3731c3351023","resolution":{"observed_at":"2026-08-03T11:03:37.577518Z","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":"2026-08-03T11:03:37.647646Z","title":"Tausendpfund, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.647646Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:2250d879ae3788d6a08b7d40badd7ae7143306c667c022ae583b42395b319238","observation_id":"20c39f1e-7f5e-4218-a4c1-9bfdfb8def22","resolution":{"observed_at":"2026-08-03T11:03:37.647646Z","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":"2026-08-03T11:03:37.680907Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.680907Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:77c0c2d3c474ed5b8892a43099a72a6ceae53fe0f5f622abaf62883cd198638a","observation_id":"0cbdcceb-9986-4da7-803d-8543a60b051a","resolution":{"observed_at":"2026-08-03T11:03:37.680907Z","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":"2026-08-03T11:03:37.746541Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.746541Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:f8258050c7dc583e939c003eda29055b4a77abe6f465ad877e0f1531327d893d","observation_id":"f2558c2b-4b7b-4611-9245-b66dab598597","resolution":{"observed_at":"2026-08-03T11:03:37.746541Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.00533","last_updated":"2022-03-01T15:15:47Z","snapshot_observed_at":"2026-07-06T12:42:54.843395Z","submitted_at":"2022-03-01T15:15:47Z","title":"Numerically Probing the Universal Operator Growth Hypothesis","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.00533","snapshot_observed_at":"2026-08-03T11:03:37.806583Z","title":"Heveling, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.806583Z"},"links":{"cited_paper":"/paper/2203.00533","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:05af897fe85d831d4b3e2a36dc01c3ee26ce76a86d080e020cc467ae336659fa","observation_id":"dd488e3d-6948-4d62-a423-3bf906274897","resolution":{"observed_at":"2026-08-03T11:03:37.806583Z","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":"2026-08-03T11:03:37.874485Z","title":"Eckseler, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.874485Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:dcad070a6b72adb33826e6b7f8b4bf4378ff1c4750c2a1bc1909689d52b396dd","observation_id":"a11bf8bf-97cc-4583-bf58-c415ad08ddd3","resolution":{"observed_at":"2026-08-03T11:03:37.874485Z","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":"2026-08-03T11:03:37.942417Z","title":"Rabinovici, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:37.942417Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:fa635918457a9601d200fcf119fec3e0925e5fb91596cfdea2fcd45664f7a049","observation_id":"825d341e-92f8-4ab5-9ece-ea4ef5b094a4","resolution":{"observed_at":"2026-08-03T11:03:37.942417Z","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":"2026-08-03T11:03:38.031053Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:38.031053Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:a88fe80d6eaa7404d2d5276ad9f58e229ef83aafbf016f3f417411ae1ff87138","observation_id":"5e137923-f81b-4d1b-a555-7b3b9984c74f","resolution":{"observed_at":"2026-08-03T11:03:38.031053Z","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":"2026-08-03T11:03:38.128141Z","title":"Van der Veen and K","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:38.128141Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:a5f459fa4eccca0253beaab3c997d1119e7e4bb6826f35eedc5b9bef8cccdd61","observation_id":"c3317241-53ef-46c0-94df-704553e3c7e8","resolution":{"observed_at":"2026-08-03T11:03:38.128141Z","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":"2026-08-03T11:03:38.185128Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:38.185128Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:858f4ce194348793a7b3143ed56624d5139c83ace909a5d7c187514b2cbe0cc3","observation_id":"f4641c26-4f5b-4339-b556-91ddbf09486e","resolution":{"observed_at":"2026-08-03T11:03:38.185128Z","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":"2026-08-03T11:03:38.218008Z","title":"Capizzi, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:38.218008Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:1a57715eeecf16bff139e52796c45fa0ec259a4ce843d23bac803907af35aa3e","observation_id":"c344b239-6599-4f8f-bd23-0fe05a97f140","resolution":{"observed_at":"2026-08-03T11:03:38.218008Z","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":"2026-08-03T11:03:38.327624Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:38.327624Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:99a007515429c1606d9a58f6ffc95332e28e4ae4f593a96956d858eee5dfc7cb","observation_id":"c5658213-c4fe-4279-94fa-670dd393c1ba","resolution":{"observed_at":"2026-08-03T11:03:38.327624Z","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":"2026-08-03T11:03:38.381960Z","title":"Uskov and O","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:38.381960Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:545d05e081d2a91706a8a393c518f52fd4479f5d84dc93516e7dc3afacee9579","observation_id":"c8838a2e-00f6-4e13-9371-40d952985077","resolution":{"observed_at":"2026-08-03T11:03:38.381960Z","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":"2026-08-03T11:03:38.542943Z","title":"Dymarsky and M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:38.542943Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:6b26de57e9ecbad176a0ab8290149c45c93c1779ffbc28477f7de6b19f082708","observation_id":"2b8b1b0e-1f16-4287-9c3d-c96e92a2f509","resolution":{"observed_at":"2026-08-03T11:03:38.542943Z","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":"10.1103/physrevb.110.104413","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Physical review. B./Physical review. B","work_id":"3ba59bbf-a02a-4b52-be84-e5c8494f3422","year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:38.679204Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:2d369adae998bad1d37169a3b577f1004bcef2de1557dc0d752a10a44b65cb91","observation_id":"87b2218a-087b-4a92-9cd8-df2352b5a713","resolution":{"observed_at":"2026-08-03T11:08:51.222985Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T11:03:38.804441Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:38.804441Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:0db4018e35f99eba1726ec137bce58ff84e95c9f93d9255f2a5ffefc87a27d2d","observation_id":"8da7a3f4-a299-4d5f-aebc-79aea64c76de","resolution":{"observed_at":"2026-08-03T11:03:38.804441Z","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":"2026-08-03T11:03:38.991873Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:38.991873Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:098b34f643e259600d61b65e447b864bdeb88b4afa61ecb5c43113cc71f1a8d7","observation_id":"2fcae9c8-233f-4661-82dd-49b8e30e664e","resolution":{"observed_at":"2026-08-03T11:03:38.991873Z","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":"2026-08-03T11:03:39.124192Z","title":"Kaneko, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:39.124192Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:9771942972f49f3372b61e5354710b1b86455ca2b9874c5dea308c8a03d7ff8d","observation_id":"a05fc737-8e53-4c2c-ae35-9b29d0064ba7","resolution":{"observed_at":"2026-08-03T11:03:39.124192Z","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":"2026-08-03T11:03:39.209315Z","title":"Pescia, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:39.209315Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:f73aecb677c8d0abf60d2ccba07d5df35febbe2c2b28eab74e2ef68a05f65b64","observation_id":"ea5c231b-7840-4690-b48f-488eb3cc0acb","resolution":{"observed_at":"2026-08-03T11:03:39.209315Z","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":"2026-08-03T11:03:39.384854Z","title":"Denis and G","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:39.384854Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:1ee6aff6d5313c3cd4a805fb860281edde233731d1a6f4a46578e70faac1ad02","observation_id":"83991e64-33d7-4fdf-8351-3bcbd16930b7","resolution":{"observed_at":"2026-08-03T11:03:39.384854Z","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":"2026-08-03T11:03:39.514442Z","title":"Rende, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:39.514442Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:04b7737d7a7c0d8c317a15e556c9e0520b112a5dfb5952914c882d83dbb84209","observation_id":"278b9f7f-0df6-4628-8d71-63b458e43759","resolution":{"observed_at":"2026-08-03T11:03:39.514442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.07084","last_updated":"2026-05-28T18:02:31Z","snapshot_observed_at":"2026-08-08T02:40:45.485139Z","submitted_at":"2025-09-08T18:00:03Z","title":"Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.07084","snapshot_observed_at":"2026-08-03T11:03:39.648661Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:39.648661Z"},"links":{"cited_paper":"/paper/2509.07084","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:63c0f93aae26bae1a93c19e5ae1b37f6ffc7fc294c176f62ea39a60b53a46c49","observation_id":"984823c0-d695-4a83-9e21-d4f0463b3ae6","resolution":{"observed_at":"2026-08-03T11:03:39.648661Z","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":"2026-08-03T11:03:39.718405Z","title":"Carleo and M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:39.718405Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:d717cf44f29c1088f0c3a51b59f5d819880b25b407df85f39d11879825260f5b","observation_id":"e2793edf-7e71-42f1-ad59-daab0d897955","resolution":{"observed_at":"2026-08-03T11:03:39.718405Z","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":"2026-08-03T11:03:39.789589Z","title":"Carrasquilla and R","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:39.789589Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:99159355f6b56fb6ea184485f04f7f3c26bd71b4ca4eab248fa3de1a7c450b78","observation_id":"d0461ab2-04ce-4484-979a-592d09ad187e","resolution":{"observed_at":"2026-08-03T11:03:39.789589Z","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":"2026-08-03T11:03:39.858089Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:39.858089Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:fca651556a96d5b53206e78b1b7911bbed866c70e2fb57f18b512c928773bc57","observation_id":"fd04c3ff-5f5e-4cca-ba28-b3120f7866ba","resolution":{"observed_at":"2026-08-03T11:03:39.858089Z","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":"2026-08-03T11:03:39.981703Z","title":"Viteritti, R","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:39.981703Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:3229dfa0a85e4ceff662a768cdc5977fb97d9cfe642d1b21e297ae26e7e473ec","observation_id":"eb0b053d-b331-4ff4-a167-178527e2eee7","resolution":{"observed_at":"2026-08-03T11:03:39.981703Z","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":"2026-08-03T11:03:40.155351Z","title":"Zhang and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:40.155351Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:f2330517e541863f9356335e32ab7a9615a17eaf96085125c9536000d36e7370","observation_id":"9fe1c29f-b563-4401-9592-dd9024997bf9","resolution":{"observed_at":"2026-08-03T11:03:40.155351Z","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":"2026-08-03T11:03:40.326576Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:40.326576Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:813fe05b82633678cb5395dbcb1bb3d03c938db449e38d072767a255c3030108","observation_id":"d9cef3da-810b-40fd-8411-1b819f74badb","resolution":{"observed_at":"2026-08-03T11:03:40.326576Z","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":"2026-08-03T11:03:40.515277Z","title":"Carleo, I","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:40.515277Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:978b692fee9fb6da831b27bbdf41446d0e64d31ea10f5916393d58e8c55ef6bb","observation_id":"9138d83d-3719-4c48-b24d-4519a0807a66","resolution":{"observed_at":"2026-08-03T11:03:40.515277Z","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":"2026-08-03T11:03:40.685175Z","title":"Carrasquilla, Machine learning for quantum matter, Advances in Physics: X5, 1797528 (2020)","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:40.685175Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:f6378944b4e0c8439ff95615b3e0dbbe6bc905924102b693b424befafd51f6d7","observation_id":"d1dc6034-e4b4-4931-b4d7-ab57153625cf","resolution":{"observed_at":"2026-08-03T11:03:40.685175Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.15895","last_updated":"2025-08-21T18:00:06Z","snapshot_observed_at":"2026-08-05T17:44:24.696827Z","submitted_at":"2025-08-21T18:00:06Z","title":"Learning measurement-induced phase transitions using attention","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.15895","snapshot_observed_at":"2026-08-03T11:03:40.876246Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:40.876246Z"},"links":{"cited_paper":"/paper/2508.15895","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:3054d6920fc3c8fe736cfffa67a5dc55630f68fcbab22b25f787981a194fb058","observation_id":"ae0e4169-edb2-4a59-aa8d-604a47adbacb","resolution":{"observed_at":"2026-08-03T11:03:40.876246Z","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":"2026-08-03T11:03:41.026140Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:41.026140Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:0fbd1da9ad1c6833400203d6fd91053731873994e9cdf8f2d729d67877c45b7d","observation_id":"a405d11d-a985-4ceb-abd2-8da6f7bfae02","resolution":{"observed_at":"2026-08-03T11:03:41.026140Z","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":"2026-08-03T11:03:41.152190Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:41.152190Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:b37f787c21e19d731d44d45763f02c07d821816d4120b4bfa41d4f20c1d13667","observation_id":"8e4985e0-55f4-4aad-9fe0-6d630ac184e6","resolution":{"observed_at":"2026-08-03T11:03:41.152190Z","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":"2026-08-03T11:03:41.207434Z","title":"Vaswani, N","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:41.207434Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:73172f021b3594959b864472eccedf8e4a6794aa6529c172c21319e13ae71938","observation_id":"d6c1bf9a-a69d-4bb0-a922-2e1fee38c123","resolution":{"observed_at":"2026-08-03T11:03:41.207434Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.04805","last_updated":"2019-05-24T20:37:26Z","snapshot_observed_at":"2026-07-30T09:12:38.100527Z","submitted_at":"2018-10-11T00:50:01Z","title":"BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.04805","snapshot_observed_at":"2026-08-03T11:03:41.406238Z","title":"Devlin, M.-W","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:41.406238Z"},"links":{"cited_paper":"/paper/1810.04805","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:69773b4e6737877e458b8729489c4784db1ab2e92a1aa65e774a8d9c351bba1d","observation_id":"b2310930-e5b9-4b72-961a-1c73bb13ec71","resolution":{"observed_at":"2026-08-03T11:03:41.406238Z","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":"2026-08-03T11:03:41.608663Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:41.608663Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:8614af1c41481e5dcae49071f7f18264c8ce0e7b96b357299071a32aa2dca908","observation_id":"649e1b3f-2b54-42e1-a9e3-0fba2ac9d464","resolution":{"observed_at":"2026-08-03T11:03:41.608663Z","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":"2026-08-03T11:03:41.795643Z","title":"Liu and G","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:41.795643Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:d2b276f12899f4e0bd8e126a77f069437adfd58c21c117f378cf9e909723f33e","observation_id":"20de17f1-ec0b-4e1f-8fc6-8927ce52d9d4","resolution":{"observed_at":"2026-08-03T11:03:41.795643Z","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":"2026-08-03T11:03:41.935945Z","title":"Pfeuty, The transverse-field ising model, Annals of Physics57, 79 (1970)","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:41.935945Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:72d0da9dfad751716445d27f9f49aba9ddf23d7ed9cfbf07d45c986d49473d21","observation_id":"ed2ea10f-c808-4cb0-8d36-7f8297979feb","resolution":{"observed_at":"2026-08-03T11:03:41.935945Z","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":"2026-08-03T11:03:42.033129Z","title":"Roca-Jerat, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:42.033129Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:99fc6ec957f0b885492cd7241d90ddcf377a7234cf347212a1cc0b1a4d816a0f","observation_id":"e6f4c5ad-1e5a-485b-b0b9-c07f1d17bd07","resolution":{"observed_at":"2026-08-03T11:03:42.033129Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-03T11:03:42.153659Z","title":"Hashimoto, K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:42.153659Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:c3ccd74057fd81285c1dbe5a02b6c1bf66168b71cbc820f2fbed8957de83ee50","observation_id":"a107785e-6268-440f-8572-9fda4f315d8a","resolution":{"observed_at":"2026-08-03T11:03:42.153659Z","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":"2026-08-03T11:03:42.378562Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:42.378562Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:8e2cb41b95f28cf150ef7e59fa0c89aac106ccc751ef5e3c4aa3e00cb9e0227e","observation_id":"f93e51ff-fb90-446d-8776-e2b36b1097a7","resolution":{"observed_at":"2026-08-03T11:03:42.378562Z","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":"2026-08-03T11:03:42.533776Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:42.533776Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:fefe5bf301acf842143d642f4b988b56aff887dac19c166e177eb828dd107e57","observation_id":"8f14d756-2181-4e5b-99cd-acb753592e72","resolution":{"observed_at":"2026-08-03T11:03:42.533776Z","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":"2026-08-03T11:03:42.632759Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:42.632759Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:6032be284cfcab0877fbb0f24344c829a95f8aadba927d34472e3bfa0346a1d1","observation_id":"99088c0e-61f2-4dbe-bcff-7156b8cbc365","resolution":{"observed_at":"2026-08-03T11:03:42.632759Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.01957","last_updated":"2026-05-11T04:09:00Z","snapshot_observed_at":"2026-08-08T00:44:08.242588Z","submitted_at":"2025-06-02T17:59:59Z","title":"Violation of Universal Operator Growth Hypothesis in $\\mathcal{W}_3$Conformal Field Theories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.01957","snapshot_observed_at":"2026-08-03T11:03:42.750889Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:42.750889Z"},"links":{"cited_paper":"/paper/2506.01957","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:3e92c8be822d6020ef1404a99472b68f5c0bffdae3ca504c0543d03ac5bcef2d","observation_id":"d7b5e681-a138-4acb-9d27-b0ce7c23f76b","resolution":{"observed_at":"2026-08-03T11:03:42.750889Z","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":"2026-08-03T11:03:42.857863Z","title":"Sprague and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:42.857863Z"},"links":{"citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:4270841f90fa915857e08109c02202ee42589dfd7636fb76453c5aef14733866","observation_id":"b8634898-d0aa-4d9e-b822-7cc586e2e6fe","resolution":{"observed_at":"2026-08-03T11:03:42.857863Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.05101","last_updated":"2019-01-04T21:01:49Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2017-11-14T14:24:06Z","title":"Decoupled Weight Decay Regularization","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.05101","snapshot_observed_at":"2026-08-03T11:03:42.992266Z","title":"Loshchilov and F","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-03T11:03:42.992266Z"},"links":{"cited_paper":"/paper/1711.05101","citing_paper":"/paper/2601.07937"},"observation_digest":"sha256:9e02cef6f0f2ab97077cc62865aab80cf8caf11b36ebd865ed7abfd081efea62","observation_id":"7d518f11-de8e-4a87-9047-8b36dc150448","resolution":{"observed_at":"2026-08-03T11:03:42.992266Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2601.07937","last_updated":"2026-07-31T01:25:00Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-06T12:22:29.769365Z","submitted_at":"2026-01-12T19:07:22Z","title":"Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients"},"reference_resolution":{"displayed":79,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":77,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":79},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 1 inbound Pith citation observation for arXiv:2601.07937."}