{"as_of":"2026-08-09T13:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e4c3404fa32b227fecac5d3a2beb5ae4a6e844644ca2aec6588165661e58b641","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:41:49.604894Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2506.23969/citation-record","integrity":"/paper/2506.23969/integrity","json":"/paper/2506.23969/citation-record.json","paper":"/paper/2506.23969"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:53.710026Z","title":"Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations","venue":null,"work_id":"83eb664f-b079-4c70-a172-ec72b6ab69f0","year":2016},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:47.306926Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:4f67a14c7845e6efd7f694e628bc95f4f8e2fd1e85119b20dab805eaa6f824c7","observation_id":"abce0169-e552-4f7b-a6ea-85993c336a47","resolution":{"observed_at":"2026-08-06T21:41:53.765059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:53.539172Z","title":"Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations","venue":null,"work_id":"467afe18-ca9f-4e84-b8c5-e5ffcf3de19d","year":2024},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:47.448361Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:ef5375accbbdafdb4d084616120e14f4c4d5c0bc3a0d868548bf6880dfa66ee2","observation_id":"88eb0501-b96d-4e29-a290-62123c26bc0b","resolution":{"observed_at":"2026-08-06T21:41:53.611956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.12348","last_updated":"2022-11-18T16:37:37Z","snapshot_observed_at":"2026-08-09T00:38:25.754423Z","submitted_at":"2020-12-22T20:48:20Z","title":"An overview on deep learning-based approximation methods for partial differential equations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.12348","snapshot_observed_at":"2026-08-06T21:41:47.597395Z","title":"An overview on deep learning-based approximation methods for partial differential equations","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:47.597395Z"},"links":{"cited_paper":"/paper/2012.12348","citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:5a6db5a93e34e95f87a78950133f2fa6915dcf3402e30763b4f72093820e17c3","observation_id":"8e132787-fd3a-4af8-806b-72f391b8e8dc","resolution":{"observed_at":"2026-08-06T21:41:47.597395Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:53.353605Z","title":"Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations","venue":null,"work_id":"a4c2e764-dc04-4ac4-b38c-b69f6ba5fa0e","year":2020},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:47.764179Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:03805f70a1167aebdfec444fcc8ab6ca11ba108edbbc13e1896369dfeaa3e367","observation_id":"73b18556-bea3-4fa0-b9bd-a9dc102ea592","resolution":{"observed_at":"2026-08-06T21:41:53.442029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1708.03223","last_updated":"2017-08-10T14:04:51Z","snapshot_observed_at":"2026-07-31T13:41:01.343498Z","submitted_at":"2017-08-10T14:04:51Z","title":"On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations","version":1},"cited_work":{"arxiv_id":"1708.03223","doi":null,"metadata_source":"pith","pith_arxiv_id":"1708.03223","snapshot_observed_at":"2026-08-06T21:41:49.909976Z","title":"On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations","venue":"math.NA","work_id":"bfd1d636-232a-4019-8e2d-b0f240e3a4d9","year":2017},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:47.913090Z"},"links":{"cited_paper":"/paper/1708.03223","citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:08fcb5f3d0323a9e86dbcbe242db8f919215e0fd8021ea9bcf4c1e2a37a52c6f","observation_id":"dcecaa7c-4e0b-40ca-a4d8-0581a4612497","resolution":{"observed_at":"2026-08-06T21:41:49.995300Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:53.097812Z","title":"Multilevel Picard iterations for solving smooth semilinear parabolic heat equations","venue":null,"work_id":"824c1a26-9788-44ba-9b3f-e2e1af808ade","year":2021},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:47.992805Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:eb50236b429c6e370b5ff06897c07dfbb66c493e36eac0dd68266c7367a7460f","observation_id":"43acfee1-babc-493f-857a-9e6486ef178b","resolution":{"observed_at":"2026-08-06T21:41:53.210014Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:52.921072Z","title":null,"venue":null,"work_id":"6e64f871-8ee0-45c9-9b2a-540ea6045e6c","year":1997},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.036422Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:28c38ae045675e9eba4b70b8d7c1e04206f6235a63871342b0f52b78ab859028","observation_id":"c3808e27-c831-4036-83f0-3ce5448bfbda","resolution":{"observed_at":"2026-08-06T21:41:52.967295Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:52.667160Z","title":"P., and Caines, P","venue":null,"work_id":"84046386-4b0d-4e34-9cf4-3cc06c9e07ec","year":2006},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.144251Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:3aa7ce87a0ec60184b581e0424f6519f139fa730e323ec8dd7912c0252ac87fd","observation_id":"6ed56f11-8da7-4a50-82e7-7e7b2c7524ed","resolution":{"observed_at":"2026-08-06T21:41:52.804111Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:52.343287Z","title":"Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations","venue":null,"work_id":"ad6fb627-7c1e-42e0-893b-954a1cda3ffd","year":2021},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.328762Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:3a8cca4467f8da613fac89819a7cb2b25fa11ae4625d5f32102b1e7003999f66","observation_id":"d8c661a1-be05-441c-a1d6-27ce27fc5bdf","resolution":{"observed_at":"2026-08-06T21:41:52.519657Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2009.02484","last_updated":"2020-10-09T07:05:53Z","snapshot_observed_at":"2026-07-06T09:53:05.195290Z","submitted_at":"2020-09-05T07:37:37Z","title":"Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.02484","snapshot_observed_at":"2026-08-06T21:41:48.419144Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.419144Z"},"links":{"cited_paper":"/paper/2009.02484","citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:023130c2473143b5f7ee734efbd1c4705342f36a5c1e40726fe3112f636aadb7","observation_id":"d6cfc632-5d29-41aa-93fd-7bfca4eba260","resolution":{"observed_at":"2026-08-06T21:41:48.419144Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:52.108046Z","title":null,"venue":null,"work_id":"6fc7a042-6e29-464f-817e-a18f132bc3a5","year":2020},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.480830Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:67f175f4b2e5ab145a9bd143940e5414acf67cedebdb49ca924bc4ef35f0139a","observation_id":"49bdc76c-cf68-4380-a8f4-6dca0d7f2b93","resolution":{"observed_at":"2026-08-06T21:41:52.228869Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:51.939333Z","title":"A., and von Wurstemberger, P","venue":null,"work_id":"729b1dbf-3e03-441d-84e2-bc24b7296c58","year":2020},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.549855Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:a854953eb0ac72f732729cdf57ac4ae94f23983c95c905bd23efea874b6be644","observation_id":"b05b7db8-dfb7-4ac1-9f43-4192569c72b4","resolution":{"observed_at":"2026-08-06T21:41:52.010371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:51.772067Z","title":"Overcoming the curse of dimensionality in the approximative pricing of financial derivatives with default risks","venue":null,"work_id":"48a005ba-f68e-4167-a4e6-2d4b5fbd4381","year":2020},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.664326Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:53b375f4d7ee793a703e78d491f23698d4da1df253d1d89d11931ef42f6f9880","observation_id":"5cb9faa7-4be4-4942-8dc5-1ebc0b922fbf","resolution":{"observed_at":"2026-08-06T21:41:51.836114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:51.576222Z","title":"Multilevel Picard approximations of high-dimensional semilinear parabolic differential equations with gradient-dependent nonlinearities","venue":null,"work_id":"d57a468e-ec4b-47c8-adbe-4eadad9de48d","year":2020},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.732506Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:93c5174ad53b2341fead127ca438ffea75dc5c58d0f724fdc311b33ee5e82f70","observation_id":"b9b6600c-f084-43e5-974f-fa7b6aebb0ee","resolution":{"observed_at":"2026-08-06T21:41:51.641206Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.01840","last_updated":"2022-04-24T15:38:37Z","snapshot_observed_at":"2026-07-06T11:25:55.188298Z","submitted_at":"2021-07-05T07:57:02Z","title":"On the speed of convergence of Picard iterations of backward stochastic differential equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.01840","snapshot_observed_at":"2026-08-06T21:41:48.792962Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.792962Z"},"links":{"cited_paper":"/paper/2107.01840","citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:7e365532325e673c3c46907f11cc43daa80f6fec1ec3839da478a243be4510cd","observation_id":"70c8b4ce-fdb9-4e8b-9643-5581fff76343","resolution":{"observed_at":"2026-08-06T21:41:48.792962Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:51.279793Z","title":null,"venue":null,"work_id":"83ccc38f-701d-4766-9f7a-cdcc21ee9314","year":2022},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.891989Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:c73e676c6bd757c0b39b5be4706a7b383d263334117f206d0ece0dc906af311f","observation_id":"29644187-a016-46dc-b5cc-8985e4319b11","resolution":{"observed_at":"2026-08-06T21:41:51.444692Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:51.040984Z","title":"A.Multilevel Picard approximations of high-dimensional semilinear partial differential equations with locally monotone coefficient functions","venue":null,"work_id":"bf944dbb-877e-4451-9532-8751c199eaa3","year":2022},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:48.984851Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:b1be9c25f60950428568ab50c73294427a048ad42cce8c2dc35be17b5597723d","observation_id":"de3fe40e-749b-4be1-bb5f-2ef1e11644e7","resolution":{"observed_at":"2026-08-06T21:41:51.135100Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:50.853821Z","title":"Jeux ` a champ moyen","venue":null,"work_id":"7768b068-650b-4053-bd33-d45b91c9b19b","year":2006},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:49.107757Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:d0cf959b708094cf3c345cb43c6b2cfe9ed40692b4fb0865addffec966cec9c1","observation_id":"58ee3160-eec9-4f7a-8aa6-1024267c34f4","resolution":{"observed_at":"2026-08-06T21:41:50.943134Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:50.594661Z","title":"Jeux ` a champ moyen","venue":null,"work_id":"5e747f30-b114-4c94-9859-eb31f0c0014e","year":2006},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:49.228443Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:e71383e3f36d076ee9a48b9d6cb742369b73e2a5cedc1991585ad63ae9eef476","observation_id":"d0ca955b-be17-4b02-b8e3-97ecc46e3e4d","resolution":{"observed_at":"2026-08-06T21:41:50.705603Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:50.314801Z","title":"A., and Wu, S","venue":null,"work_id":"d25f58bb-55b9-46d4-93b0-cf3f230fc5ef","year":2025},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:49.352115Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:3cf7816e92b532af9b4b6968379034b26077a836fda8fd15dfadbcb516081ac0","observation_id":"0aa00901-06db-41e5-b943-f1353035b896","resolution":{"observed_at":"2026-08-06T21:41:50.467543Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12545","last_updated":"2025-02-18T07:13:00Z","snapshot_observed_at":"2026-07-06T16:35:27.763870Z","submitted_at":"2023-10-19T07:53:27Z","title":"Multilevel Picard algorithm for general semilinear parabolic PDEs with gradient-dependent nonlinearities","version":5},"cited_work":{"arxiv_id":"2310.12545","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.12545","snapshot_observed_at":"2026-08-06T21:41:49.698528Z","title":"Multilevel Picard algorithm for general semilinear parabolic PDEs with gradient-dependent nonlinearities","venue":"math.NA","work_id":"00351d7e-5de0-4da0-b614-dfc62fdb842f","year":2023},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:49.500627Z"},"links":{"cited_paper":"/paper/2310.12545","citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:ad6582149f715d37dc95532df1a38fff5b02430576c4a7f11003ae1932f4482a","observation_id":"8597a9cb-71f9-45e2-9626-41394caaa6ea","resolution":{"observed_at":"2026-08-06T21:41:49.789628Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:41:50.130292Z","title":null,"venue":null,"work_id":"c98b4e1e-9e85-47e7-89e5-3463ce7c4353","year":1999},"citing_paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T21:41:49.604894Z"},"links":{"citing_paper":"/paper/2506.23969"},"observation_digest":"sha256:5add347816284e7cd73d273c7fe30de486d3e79a5b89ad33b06aa68a5381d784","observation_id":"8093f103-8081-49b5-b6d5-710cb4dc6982","resolution":{"observed_at":"2026-08-06T21:41:50.226083Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.23969","last_updated":"2025-06-30T15:37:27Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-08T14:06:37.211962Z","submitted_at":"2025-06-30T15:37:27Z","title":"Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":2,"verified_fuzzy":13},"total_outbound_references":22},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.23969."}