{"as_of":"2026-08-08T01:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:748774c2836f18dd15f4613a3f51b2ebcdf1bcac4888b0df254bb3fadc17d9bc","coverage":[{"denominator":89,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":89,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T00:49:51.898062Z","state":"measured"},{"denominator":92,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":92,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:45:13.520562Z","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":"2026-05-25T06:35:24.683809Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.13061","snapshot_observed_at":"2026-08-06T21:45:13.520562Z","title":"Z., Huang, J., and Lin, Z","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.24042","last_updated":"2025-08-13T15:05:42Z","snapshot_observed_at":"2026-08-07T23:57:08.805893Z","submitted_at":"2025-06-30T16:49:03Z","title":"Faster Diffusion Models via Higher-Order Approximation","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T21:45:13.520562Z"},"links":{"cited_paper":"/paper/2506.13061","citing_paper":"/paper/2506.24042"},"observation_digest":"sha256:07dd05200a2748919f1971e7b237972f4be15dc6a7160a14c0701d33a8cb637f","observation_id":"d486462d-afd1-4f05-ac62-7255ee8d02c1","resolution":{"observed_at":"2026-08-06T21:45:13.520562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"cited_work":{"arxiv_id":"2506.13061","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.13061","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2506.13061 , year=","venue":null,"work_id":"d87f46d9-ac4c-4ddc-92c1-9cdef8a2ae20","year":null},"citing_paper":{"arxiv_id":"2605.07220","last_updated":"2026-05-22T01:01:28Z","snapshot_observed_at":"2026-08-03T23:09:26.798712Z","submitted_at":"2026-05-08T04:12:02Z","title":"On the Robustness of Distribution Support under Diffusion Guidance","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-05-11T02:27:44.244764Z"},"links":{"cited_paper":"/paper/2506.13061","citing_paper":"/paper/2605.07220"},"observation_digest":"sha256:da3c61093b02b7718519c4c1ebec1b8a902c11b18d161b6e7bb7958e954317fe","observation_id":"d27d5735-8c4c-4912-a6c1-a5fe384f4eb2","resolution":{"observed_at":"2026-05-11T03:30:57.389180Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"cited_work":{"arxiv_id":"2506.13061","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.13061","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2506.13061 , year=","venue":null,"work_id":"d87f46d9-ac4c-4ddc-92c1-9cdef8a2ae20","year":null},"citing_paper":{"arxiv_id":"2605.07220","last_updated":"2026-05-22T01:01:28Z","snapshot_observed_at":"2026-08-03T23:09:26.798712Z","submitted_at":"2026-05-08T04:12:02Z","title":"On the Robustness of Distribution Support under Diffusion Guidance","version":2},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-05-25T06:34:46.801241Z"},"links":{"cited_paper":"/paper/2506.13061","citing_paper":"/paper/2605.07220"},"observation_digest":"sha256:eef406420760846f437598fd878cd00c2f80d7a1fd2a69d009fbb69208c1b398","observation_id":"b27a2414-e2b1-45cd-9f78-dc1ee16b0711","resolution":{"observed_at":"2026-05-25T06:35:24.687546Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.13061/citation-record","integrity":"/paper/2506.13061/integrity","json":"/paper/2506.13061/citation-record.json","paper":"/paper/2506.13061"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2303.08797","last_updated":"2025-10-09T00:43:44Z","snapshot_observed_at":"2026-07-06T15:03:52.079498Z","submitted_at":"2023-03-15T17:43:42Z","title":"Stochastic Interpolants: A Unifying Framework for Flows and Diffusions","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.08797","snapshot_observed_at":"2026-08-07T00:49:42.902889Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:42.902889Z"},"links":{"cited_paper":"/paper/2303.08797","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:b6d35c6db3db80d0e0adc5beafe885c4d0aae75ff33e68ce1b32b2dc880d2fbc","observation_id":"4b5bc8b7-2bfc-4f20-ac98-e18bf1bae0e0","resolution":{"observed_at":"2026-08-07T00:49:42.902889Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.15571","last_updated":"2023-03-09T15:18:40Z","snapshot_observed_at":"2026-07-06T13:58:18.393526Z","submitted_at":"2022-09-30T16:30:31Z","title":"Building Normalizing Flows with Stochastic Interpolants","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.15571","snapshot_observed_at":"2026-08-07T00:49:42.976564Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:42.976564Z"},"links":{"cited_paper":"/paper/2209.15571","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:0a774eeb24b2224fd824e04a3705c9c135d872631a9880ed416170d88c45d384","observation_id":"1007b8b9-fe18-48ae-81e7-986fa9acb8ee","resolution":{"observed_at":"2026-08-07T00:49:42.976564Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.18804","last_updated":"2025-04-23T19:38:36Z","snapshot_observed_at":"2026-08-06T06:14:31.114305Z","submitted_at":"2024-09-27T14:57:18Z","title":"Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.18804","snapshot_observed_at":"2026-08-07T00:49:43.063830Z","title":"Azangulov, G","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.063830Z"},"links":{"cited_paper":"/paper/2409.18804","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:2e840b565c95e9b59d19b4756a79f779cf0a317fb959ca9e275c748ff5c34c25","observation_id":"2c46298c-6d55-4a35-af66-ed7d47514f84","resolution":{"observed_at":"2026-08-07T00:49:43.063830Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.16860","last_updated":"2024-02-11T22:44:44Z","snapshot_observed_at":"2026-07-06T15:33:53.981539Z","submitted_at":"2023-05-26T12:13:53Z","title":"Error Bounds for Flow Matching Methods","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.16860","snapshot_observed_at":"2026-08-07T00:49:43.155804Z","title":"Benton, G","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.155804Z"},"links":{"cited_paper":"/paper/2305.16860","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:d061e35a751cd9a4efc790e96f89dc09c997cacd89c4efa1ce9a761b7e09fcdf","observation_id":"ffe76a54-398d-41bc-b037-8f1ff196e1dc","resolution":{"observed_at":"2026-08-07T00:49:43.155804Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.00107","last_updated":"2022-10-11T17:56:49Z","snapshot_observed_at":"2026-08-06T05:27:36.095005Z","submitted_at":"2020-01-31T23:50:03Z","title":"Generative Modeling with Denoising Auto-Encoders and Langevin Sampling","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.00107","snapshot_observed_at":"2026-08-07T00:49:43.229664Z","title":"Block, Y","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.229664Z"},"links":{"cited_paper":"/paper/2002.00107","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:0be53000e3cbc3612dc7317b958583124df1d60b66977aaeb934a93a9630c1d8","observation_id":"6c4c9867-a24b-4075-a72f-aa3998122b23","resolution":{"observed_at":"2026-08-07T00:49:43.229664Z","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":"2026-08-07T00:49:43.292980Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.292980Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:7b4c7e6a1057708005bc12d189665a7512e3a127a891308e69ad3d497b37404e","observation_id":"e7cf1094-e1ae-4827-bca1-16e1f6d7f4b8","resolution":{"observed_at":"2026-08-07T00:49:43.292980Z","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":"2026-08-07T00:49:43.347286Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.347286Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:2c17ca80bebe3af97850fb5c6c16bfcf28dc66ae348849b46caca5ec748fc4d5","observation_id":"575be1da-b947-4bac-b904-7949a4e9f0db","resolution":{"observed_at":"2026-08-07T00:49:43.347286Z","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":"2026-08-07T00:49:43.436852Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.436852Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:855f9f9b293b7aaba7308aa06e942c37611be17c6e08c2259b815b62f67b93e1","observation_id":"1cbbc76e-bb1f-4f57-80c1-074c89bf2920","resolution":{"observed_at":"2026-08-07T00:49:43.436852Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.03979","last_updated":"2025-06-05T04:27:46Z","snapshot_observed_at":"2026-08-07T23:56:21.475184Z","submitted_at":"2025-06-04T14:09:25Z","title":"Solving Inverse Problems via Diffusion-Based Priors: An Approximation-Free Ensemble Sampling Approach","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.03979","snapshot_observed_at":"2026-08-07T00:49:43.506696Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.506696Z"},"links":{"cited_paper":"/paper/2506.03979","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:9db5d657448bd6fbff1ede8a3b16d5eabf5903d66bf485decbfe33cd8cdf5920","observation_id":"29b29417-d8aa-4290-9752-4f15e6709917","resolution":{"observed_at":"2026-08-07T00:49:43.506696Z","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":"2026-08-07T00:49:43.572969Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.572969Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:37e405c9fe3c552de958ec2cc308d0f072ded3a3c486ac12d2b93ecfbc52c942","observation_id":"f37839be-d3aa-40c7-a42f-351c84bb0bf7","resolution":{"observed_at":"2026-08-07T00:49:43.572969Z","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":"2026-08-07T00:49:43.638453Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.638453Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:ef225fc674391c918a1adb32f86e381f45036a9ecc6143a4480e2de11d495e18","observation_id":"0679b9ae-b081-4476-a886-2773af569b78","resolution":{"observed_at":"2026-08-07T00:49:43.638453Z","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":"2026-08-07T00:49:43.715485Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.715485Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:cac56373db8ff3cd765ad0831ecf59644a6b6e51ce748f3911aed2ae358c9238","observation_id":"c0de5b7c-7686-4585-b1b2-eb82ee995d26","resolution":{"observed_at":"2026-08-07T00:49:43.715485Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.11215","last_updated":"2023-04-15T22:24:53Z","snapshot_observed_at":"2026-07-06T13:55:19.848757Z","submitted_at":"2022-09-22T17:55:01Z","title":"Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.11215","snapshot_observed_at":"2026-08-07T00:49:43.790525Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.790525Z"},"links":{"cited_paper":"/paper/2209.11215","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:01ff19149203bd85fd27258294defb72849cc5b05dd0dcfd31b36fe741e325a0","observation_id":"0ec3ca26-b525-4a95-bfe0-5761ebd1f829","resolution":{"observed_at":"2026-08-07T00:49:43.790525Z","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":"2026-08-07T00:49:43.844894Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.844894Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:2b81f3f7d0ab09d026e0347ecd0fca26a988a057f5a19654f1fa7eeceda8288c","observation_id":"9fa6e64b-89de-4055-9df7-838da2879a88","resolution":{"observed_at":"2026-08-07T00:49:43.844894Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.03597","last_updated":"2024-03-09T15:35:46Z","snapshot_observed_at":"2026-07-06T16:28:18.257251Z","submitted_at":"2023-10-05T15:20:35Z","title":"Sampling via Gradient Flows in the Space of Probability Measures","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.03597","snapshot_observed_at":"2026-08-07T00:49:43.893172Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.893172Z"},"links":{"cited_paper":"/paper/2310.03597","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:79a68fa589518df96c097d551e4c2b47ae3ba37c5635bb46b2ae7f7992a19cf0","observation_id":"eabe9b95-06b2-4557-bf9f-f9518b7750c8","resolution":{"observed_at":"2026-08-07T00:49:43.893172Z","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":"2026-08-07T00:49:43.970928Z","title":"Cheng, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:43.970928Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:b5ad977227a0de359657c3b3bebee9017f43179f1ba2fb9d9e84bbc4ec0ff404","observation_id":"f4bea524-24cd-4225-b4d4-5f50284259a7","resolution":{"observed_at":"2026-08-07T00:49:43.970928Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.18163","last_updated":"2024-11-07T16:31:48Z","snapshot_observed_at":"2026-08-07T23:20:50.265483Z","submitted_at":"2024-07-25T16:25:10Z","title":"Statistical optimal transport","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.18163","snapshot_observed_at":"2026-08-07T00:49:44.070988Z","title":"Chewi, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.070988Z"},"links":{"cited_paper":"/paper/2407.18163","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:f70feffe067021eb8a7082c27df8bf034883963a7cd42893c532873a7faad162","observation_id":"a8d4fb7c-084d-4c23-8c30-721c90046fb2","resolution":{"observed_at":"2026-08-07T00:49:44.070988Z","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":"2026-08-07T00:49:44.144081Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.144081Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:1ae29301a7fbff72a6a7a0240099733acfcd5ecc1bcda0033622ff744a910c26","observation_id":"8c4f4b88-5c40-45d8-a932-3082a5a525b7","resolution":{"observed_at":"2026-08-07T00:49:44.144081Z","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":"2026-08-07T00:49:57.799504Z","title":"De Bortoli, J","venue":null,"work_id":"25b549b6-9d9d-4d5d-b7b8-fbaea071e82c","year":2021},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.189159Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:ced426ccf01b4653554e5f8332e53fc222a126a47af2109a5176730a35622d46","observation_id":"b40d33d1-eec1-42b2-92c3-5db6d2c5c5a7","resolution":{"observed_at":"2026-08-07T00:49:57.863598Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2005.00341","last_updated":"2020-04-30T09:02:45Z","snapshot_observed_at":"2026-08-06T03:57:57.420510Z","submitted_at":"2020-04-30T09:02:45Z","title":"Jukebox: A Generative Model for Music","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.00341","snapshot_observed_at":"2026-08-07T00:49:44.265542Z","title":"Dhariwal, H","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.265542Z"},"links":{"cited_paper":"/paper/2005.00341","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:8b4886568ec0e5ec08c43c1a905c7d4c331d7b655885eb234ed43985a38c8878","observation_id":"520dc36e-f32f-4ca2-aae9-591066079a35","resolution":{"observed_at":"2026-08-07T00:49:44.265542Z","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":"2026-08-07T00:49:44.338155Z","title":"Dhariwal and A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.338155Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:8fe8c1e8e0affbcad29e9fea8c7a473ed886297b2f263380befc50194346e09c","observation_id":"ce4d9e12-7e83-48c3-8f0c-42855e9c65e9","resolution":{"observed_at":"2026-08-07T00:49:44.338155Z","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":"2026-08-07T00:49:57.716335Z","title":"Esser, S","venue":null,"work_id":"8e48d772-aaf5-417c-9120-89f77d86c407","year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.408875Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:bea26f22426304e835a24896f7423639a4d7e116cfedaaf642b89047614d4009","observation_id":"1fe41f11-ef5c-43d9-8b6f-390746e5e487","resolution":{"observed_at":"2026-08-07T00:49:57.754286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.17958","last_updated":"2025-02-15T15:40:43Z","snapshot_observed_at":"2026-08-06T15:54:29.257278Z","submitted_at":"2024-01-31T16:07:44Z","title":"Convergence Analysis for General Probability Flow ODEs of Diffusion Models in Wasserstein Distances","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.17958","snapshot_observed_at":"2026-08-07T00:49:44.490044Z","title":"Gao and L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.490044Z"},"links":{"cited_paper":"/paper/2401.17958","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:2253541b9c8aa7daa5df0eec077d88072bd11005654b935b042abc6729fb15a5","observation_id":"93ad783a-46b9-421f-b4bb-1507bb0ff1fe","resolution":{"observed_at":"2026-08-07T00:49:44.490044Z","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":"2026-08-07T00:49:57.639287Z","title":"Goodfellow, J","venue":null,"work_id":"2af79937-eb4d-4629-b753-2d0fbf1ce6ea","year":2014},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.565893Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:581d0a66b01a8dbcb753daf2738d69a6d0f7d382564e6218823f5817a6289e89","observation_id":"601386e2-a019-4eda-86fd-76881dbcfc08","resolution":{"observed_at":"2026-08-07T00:49:57.671102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:44.640983Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.640983Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:fe1f201fa032e9e8c29f512d0b417c8ab87f5b35b9f46c765b6699791980594d","observation_id":"3650683c-a3d1-4963-90a8-b08bed7455e1","resolution":{"observed_at":"2026-08-07T00:49:44.640983Z","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":"2026-08-07T00:49:57.510684Z","title":"Hochbruck and A","venue":null,"work_id":"96696cbe-44aa-4b88-bc20-f0856d1bfed9","year":2005},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.711993Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:bd31ee739cc5c39d1febf3b76dc5e1cb385a6de2379938885c4c9ac421688814","observation_id":"79a31a3d-9a4d-407d-a775-c417fbcfb08c","resolution":{"observed_at":"2026-08-07T00:49:57.552730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:44.800077Z","title":"Hochbruck and A","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.800077Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:903f963c16259c183d49f59fe26563999c7a672f4a25eebbe9712c40ba92a034","observation_id":"55bb387a-c88a-44bc-b3b1-fe1afade901e","resolution":{"observed_at":"2026-08-07T00:49:44.800077Z","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":"2026-08-07T00:49:57.426169Z","title":null,"venue":null,"work_id":"aa6150cc-cf34-4dc4-92e4-926091e0ba68","year":2025},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.888094Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:ca833b82427ce15e6fa1ab382f8f6720a03894d945849b32b439228976085448","observation_id":"d728a393-1f94-4ff4-a2c1-6ac7757bd6f5","resolution":{"observed_at":"2026-08-07T00:49:57.463151Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:44.969545Z","title":"Huang, Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:44.969545Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:6e278bde1c34cee0c647b61a87a962e4e907cf286793aed409242d174b7f418d","observation_id":"9dc2259d-0ab0-4aec-9d34-4393dc2ce7d6","resolution":{"observed_at":"2026-08-07T00:49:44.969545Z","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":"2026-08-07T00:49:57.349963Z","title":"Hyv¨ arinen and P","venue":null,"work_id":"8e08f3bb-bb63-4863-bb3b-e5254e4201e7","year":2005},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:45.054101Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:e9e01634a70b40d769a8f11651f5d6ec2bfffdc5f1120d6ed8f0ea1137b7206f","observation_id":"97a8b901-476a-49ba-9cef-e2ce9c4131b7","resolution":{"observed_at":"2026-08-07T00:49:57.389215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:57.193971Z","title":"Jordan, D","venue":null,"work_id":"2d2b40a4-e6ea-4240-b81e-1e7a144c73c8","year":1998},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:45.195800Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:aee64268dad9cfb140613aa45f69b773d3c4e4c758448a3239788b4de861f373","observation_id":"fff7422b-bcf0-4c90-a636-f96a220182ce","resolution":{"observed_at":"2026-08-07T00:49:57.289706Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:57.119078Z","title":"Karras, M","venue":null,"work_id":"e4135da5-5413-494b-a6b0-284032a8f05f","year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:45.290699Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:cdafec31c51e045f1c74b6ee55847baf88016ed76a9c0a3751da509ae854aeac","observation_id":"5a909df0-de0b-485e-ab4a-2ffa604f3881","resolution":{"observed_at":"2026-08-07T00:49:57.160237Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1312.6114","last_updated":"2022-12-10T21:04:00Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2013-12-20T20:58:10Z","title":"Auto-Encoding Variational Bayes","version":11},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.6114","snapshot_observed_at":"2026-08-07T00:49:45.382034Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:45.382034Z"},"links":{"cited_paper":"/paper/1312.6114","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:79e95633bf1d1e024345e38a71c8c231d1d55039aba6db308764586be11c89f6","observation_id":"45db5e5f-cbbf-42dc-a22a-bbd7a20466af","resolution":{"observed_at":"2026-08-07T00:49:45.382034Z","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":"2026-08-07T00:49:56.948534Z","title":null,"venue":null,"work_id":"68ce0151-5632-4880-bb1b-a537ca335975","year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:45.458792Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:b33707ff2c5c250055be653c774e0efef4b1d90fe6da3482c8e2623e85ca85d0","observation_id":"ecacee5c-7a89-4f02-8ca1-97131aa6a65e","resolution":{"observed_at":"2026-08-07T00:49:57.083183Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:45.600388Z","title":"LeCun, L","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:45.600388Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:637fa16a362fffc93edd37b6b47bfbbd8407efcf38cd04a6d1ab861a98bb63b6","observation_id":"df8e8e4c-1d64-4300-95dc-f486dfb6b8ad","resolution":{"observed_at":"2026-08-07T00:49:45.600388Z","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":"2026-08-07T00:49:56.694687Z","title":null,"venue":null,"work_id":"0ebfab08-58ba-4543-b31f-407d58091e43","year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:45.739248Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:7095a7674434e2db034aee205e895023891c2c26f8581f973b29c7ef71bd2fe0","observation_id":"c0bbe17e-89d2-425a-839b-61c6486db801","resolution":{"observed_at":"2026-08-07T00:49:56.787300Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:56.536585Z","title":null,"venue":null,"work_id":"84548101-2621-4b7f-9c91-41038dd1a533","year":2023},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:45.848191Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:e3ec9c46537bcaf54b118e42884c695a20810d102059d09966d3fd032b4f6e8e","observation_id":"1febb93b-f6d5-486e-ad37-ac01207392e6","resolution":{"observed_at":"2026-08-07T00:49:56.601595Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.05300","last_updated":"2025-04-07T17:59:07Z","snapshot_observed_at":"2026-08-07T16:07:50.570272Z","submitted_at":"2025-04-07T17:59:07Z","title":"Dimension-Free Convergence of Diffusion Models for Approximate Gaussian Mixtures","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.05300","snapshot_observed_at":"2026-08-07T00:49:45.927684Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:45.927684Z"},"links":{"cited_paper":"/paper/2504.05300","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:9cef606c2d68759f278a8605ec4647d7fe92b938e67125a20e91d58513a8c583","observation_id":"c5e22f9b-0fa8-473c-812e-85ac7ccf0830","resolution":{"observed_at":"2026-08-07T00:49:45.927684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.03852","last_updated":"2024-03-06T17:02:39Z","snapshot_observed_at":"2026-07-06T17:40:33.769700Z","submitted_at":"2024-03-06T17:02:39Z","title":"Accelerating Convergence of Score-Based Diffusion Models, Provably","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.03852","snapshot_observed_at":"2026-08-07T00:49:46.052589Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:46.052589Z"},"links":{"cited_paper":"/paper/2403.03852","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:b09b9346c3bd51605daca93bdeb9ae643865e21230ca5956f76aa8bee03dc91d","observation_id":"e922d2f6-68f1-4750-90b5-59f819efd3c3","resolution":{"observed_at":"2026-08-07T00:49:46.052589Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09251","last_updated":"2024-03-07T03:30:57Z","snapshot_observed_at":"2026-08-05T07:21:49.382331Z","submitted_at":"2023-06-15T16:30:08Z","title":"Towards Faster Non-Asymptotic Convergence for Diffusion-Based Generative Models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.09251","snapshot_observed_at":"2026-08-07T00:49:46.175306Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:46.175306Z"},"links":{"cited_paper":"/paper/2306.09251","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:5d94abd4d4a57f45c06ded6f537a6b8d51f937826feffe3fd723e47edc112065","observation_id":"551f77a6-47eb-42ab-9063-69b3ec807a2b","resolution":{"observed_at":"2026-08-07T00:49:46.175306Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.02320","last_updated":"2024-08-05T09:02:24Z","snapshot_observed_at":"2026-07-06T18:56:53.237634Z","submitted_at":"2024-08-05T09:02:24Z","title":"A Sharp Convergence Theory for The Probability Flow ODEs of Diffusion Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.02320","snapshot_observed_at":"2026-08-07T00:49:46.315800Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:46.315800Z"},"links":{"cited_paper":"/paper/2408.02320","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:0dfc050dab10141c5ef4b344cfbc1e639dddf34adf052ae3f40052aad8fc30d5","observation_id":"5d8b914e-440f-4600-a5a8-041710c0c559","resolution":{"observed_at":"2026-08-07T00:49:46.315800Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.14861","last_updated":"2024-12-31T01:15:25Z","snapshot_observed_at":"2026-08-06T13:47:37.114070Z","submitted_at":"2024-05-23T17:59:10Z","title":"Adapting to Unknown Low-Dimensional Structures in Score-Based Diffusion Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.14861","snapshot_observed_at":"2026-08-07T00:49:46.459758Z","title":"Li and Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:46.459758Z"},"links":{"cited_paper":"/paper/2405.14861","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:1a55180f6d2a655c0c34aaffdf089e7ad32aa4130dcaee78169a4f33c341604b","observation_id":"17dfb778-4a97-4e68-b384-57da52bfc4ac","resolution":{"observed_at":"2026-08-07T00:49:46.459758Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.18959","last_updated":"2025-01-22T16:45:40Z","snapshot_observed_at":"2026-07-06T19:23:33.343982Z","submitted_at":"2024-09-27T17:59:10Z","title":"O(d/T) Convergence Theory for Diffusion Probabilistic Models under Minimal Assumptions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.18959","snapshot_observed_at":"2026-08-07T00:49:46.549157Z","title":"Li and Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:46.549157Z"},"links":{"cited_paper":"/paper/2409.18959","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:a68ee21b30a6988dcf89eaa0f8f740b1ad31430f5dbcdb0c2e8fde5a79b073cc","observation_id":"78580727-5310-42b3-9e36-942600d3ab07","resolution":{"observed_at":"2026-08-07T00:49:46.549157Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.14237","last_updated":"2024-10-18T07:37:36Z","snapshot_observed_at":"2026-07-06T19:35:48.603411Z","submitted_at":"2024-10-18T07:37:36Z","title":"Unified Convergence Analysis for Score-Based Diffusion Models with Deterministic Samplers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.14237","snapshot_observed_at":"2026-08-07T00:49:46.650648Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:46.650648Z"},"links":{"cited_paper":"/paper/2410.14237","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:b923966572db3b8c7441c5d1775f2eb7c9d3b760c2c77b761fa7c91c6d6ca579","observation_id":"a3e0b550-6ef4-45f7-939e-72f7e2f9b50f","resolution":{"observed_at":"2026-08-07T00:49:46.650648Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-08-07T00:49:46.760598Z","title":"Liang, Z","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:46.760598Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:3251441c722a5b3c02a4b91be803dd40d1f3e8390fb65ed60a8c97d08ef6a39f","observation_id":"0c7d51b0-e8cd-46d6-be9a-f584225737d4","resolution":{"observed_at":"2026-08-07T00:49:46.760598Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.02747","last_updated":"2023-02-08T15:46:05Z","snapshot_observed_at":"2026-08-02T18:24:58.914589Z","submitted_at":"2022-10-06T08:32:20Z","title":"Flow Matching for Generative Modeling","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.02747","snapshot_observed_at":"2026-08-07T00:49:46.878434Z","title":"Lipman, R","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:46.878434Z"},"links":{"cited_paper":"/paper/2210.02747","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:8774f77e9fae65fff1df36741abf412088f62d1b70dac16aff0696e78e93e60e","observation_id":"ac8f7a86-2e78-4e7a-a30c-863d74115a35","resolution":{"observed_at":"2026-08-07T00:49:46.878434Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.03003","last_updated":"2022-09-07T08:59:55Z","snapshot_observed_at":"2026-07-06T13:49:40.974495Z","submitted_at":"2022-09-07T08:59:55Z","title":"Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.03003","snapshot_observed_at":"2026-08-07T00:49:47.014799Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.014799Z"},"links":{"cited_paper":"/paper/2209.03003","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:880a7b37bc894856ce58a4cd2fee4d276583e41eb0a8a8a34e46c955c6f666b6","observation_id":"3329fa7b-e17b-4193-8609-c767e2d703ec","resolution":{"observed_at":"2026-08-07T00:49:47.014799Z","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":"2026-08-07T00:49:56.370268Z","title":null,"venue":null,"work_id":"fad0f6ee-704e-4a6a-9cb7-7d067c3eb3bb","year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.137429Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:a32daf31217d21084463cd1072d816d5a6b1ee85751844a583bee19ba1153d31","observation_id":"87d82285-e444-4cca-8822-6b471eb7b6b3","resolution":{"observed_at":"2026-08-07T00:49:56.412557Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.01095","last_updated":"2025-05-19T07:56:56Z","snapshot_observed_at":"2026-07-29T20:17:21.488997Z","submitted_at":"2022-11-02T13:14:30Z","title":"DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.01095","snapshot_observed_at":"2026-08-07T00:49:47.228022Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.228022Z"},"links":{"cited_paper":"/paper/2211.01095","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:194e2764c74dd50017062cfe8c193af543ead8e1898777b62c9144a5dd98f27d","observation_id":"b478a15d-b1eb-45f3-85d7-14b9aacbcc26","resolution":{"observed_at":"2026-08-07T00:49:47.228022Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.16104","last_updated":"2024-05-25T07:31:24Z","snapshot_observed_at":"2026-07-06T18:19:47.765281Z","submitted_at":"2024-05-25T07:31:24Z","title":"Global Well-posedness and Convergence Analysis of Score-based Generative Models via Sharp Lipschitz Estimates","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.16104","snapshot_observed_at":"2026-08-07T00:49:47.376613Z","title":"Mooney, Z","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.376613Z"},"links":{"cited_paper":"/paper/2405.16104","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:de795b0a3041d866105570d9523bccce7d9b0293658935382a7a8de3d305b105","observation_id":"fab72097-4063-4aa5-a2db-573481101850","resolution":{"observed_at":"2026-08-07T00:49:47.376613Z","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":"2026-08-07T00:49:56.280574Z","title":"Papamakarios, E","venue":null,"work_id":"b9bcaf10-af07-47de-8279-5cc109a7e1f0","year":2021},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.444214Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:46af12e6d2783ed99287ade5ef7407c6c4f2496534fe428b4ba2f19ecdb1427f","observation_id":"64124212-c3d7-402e-89e3-295e463ac4bf","resolution":{"observed_at":"2026-08-07T00:49:56.324782Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:56.115551Z","title":"Popov, I","venue":null,"work_id":"d6800deb-af1f-42ee-881c-d675b5003d4e","year":2021},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.521966Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:d1c5c3bb453ecc5fa1b1b127f2cb14f666a9ae76ce81dac4522d43de96427469","observation_id":"a00b798e-cd7b-441a-a41c-e2eeb9038a29","resolution":{"observed_at":"2026-08-07T00:49:56.206215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.09046","last_updated":"2025-04-23T18:53:37Z","snapshot_observed_at":"2026-08-06T01:28:18.025859Z","submitted_at":"2024-10-11T17:58:30Z","title":"Linear Convergence of Diffusion Models Under the Manifold Hypothesis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.09046","snapshot_observed_at":"2026-08-07T00:49:47.594243Z","title":"Potaptchik, I","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.594243Z"},"links":{"cited_paper":"/paper/2410.09046","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:734846f211556e0d35a0ac6c8fa9e47e60670efe584f188abc773d7d525ca42b","observation_id":"fe8f6446-17d6-43c3-adba-584ca2afd4c8","resolution":{"observed_at":"2026-08-07T00:49:47.594243Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.06125","last_updated":"2022-04-13T01:10:33Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2022-04-13T01:10:33Z","title":"Hierarchical Text-Conditional Image Generation with CLIP Latents","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.06125","snapshot_observed_at":"2026-08-07T00:49:47.667256Z","title":"Ramesh, P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.667256Z"},"links":{"cited_paper":"/paper/2204.06125","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:417db80cfcc46e70d9c8bdff02eee48566e8aeab19159cd96e508220bdd0bf32","observation_id":"7bdacbf6-4fd3-4edc-b88d-1234c7be7fa1","resolution":{"observed_at":"2026-08-07T00:49:47.667256Z","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":"2026-08-07T00:49:56.023026Z","title":"Rezende and S","venue":null,"work_id":"9dca7a2e-a572-4342-835d-0d8ac73d057f","year":2015},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.732045Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:935ab0de6a317da6f31ad59e5020ece13c9790a131e1b5ca0da6e523d5ee9a80","observation_id":"0c07699c-5052-4ab2-9c09-a25a1135a681","resolution":{"observed_at":"2026-08-07T00:49:56.058488Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:55.923091Z","title":"Rombach, A","venue":null,"work_id":"861d1460-68a7-443d-aa75-b7685d3f8896","year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.810732Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:0e8a0e4cef01a10e0e4fca2d132929f8663612a90d93218b7b41decb4aeef6d9","observation_id":"0eda1f45-2404-41e8-85e1-413ff3cb7795","resolution":{"observed_at":"2026-08-07T00:49:55.969787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1701.05517","last_updated":"2017-01-19T17:29:06Z","snapshot_observed_at":"2026-07-06T05:26:49.841112Z","submitted_at":"2017-01-19T17:29:06Z","title":"PixelCNN++: Improving the PixelCNN with Discretized Logistic Mixture Likelihood and Other Modifications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1701.05517","snapshot_observed_at":"2026-08-07T00:49:47.867390Z","title":"Salimans, A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.867390Z"},"links":{"cited_paper":"/paper/1701.05517","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:fe4640a2fe8811481370de84ba515181eebd3277d4cf1a8e463f3112ce3dc00e","observation_id":"940ea374-0252-4ec5-bc1b-eb8bdd3f067d","resolution":{"observed_at":"2026-08-07T00:49:47.867390Z","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":"2026-08-07T00:49:55.771918Z","title":null,"venue":null,"work_id":"7e1a2542-230a-4334-86a3-7ef41460c5dc","year":2018},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:47.940191Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:bf8e45f0daa553be1b23a0a33eb490f3b372a612119987121798fe555fb45e2b","observation_id":"01744896-75ac-419a-a58b-d4862396d6f0","resolution":{"observed_at":"2026-08-07T00:49:55.799768Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:48.016258Z","title":"Sohl-Dickstein, E","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.016258Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:6c8d3260914fe53796918bf967fd1a378b78f9950409c7f7c08198c85943602e","observation_id":"b8d560f7-b081-4782-967a-907ded3fa0dd","resolution":{"observed_at":"2026-08-07T00:49:48.016258Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.02502","last_updated":"2022-10-05T20:19:21Z","snapshot_observed_at":"2026-07-06T10:01:50.133383Z","submitted_at":"2020-10-06T06:15:51Z","title":"Denoising Diffusion Implicit Models","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.02502","snapshot_observed_at":"2026-08-07T00:49:48.153205Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.153205Z"},"links":{"cited_paper":"/paper/2010.02502","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:8e00f2d9451a0ab25bd6382c2574eb182e41e1e0c57662e9e775eb77f59edc88","observation_id":"dccb5b21-9c8a-4270-b847-8862f4f3f9e0","resolution":{"observed_at":"2026-08-07T00:49:48.153205Z","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":"2026-08-07T00:49:55.667321Z","title":"Song and S","venue":null,"work_id":"5bec531f-9c72-4953-8d7a-c2be30f01af2","year":2019},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.241275Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:461c9f5626225301a24cc71f5e47ada769d21a3e4ce003d2bb29b1b3e45030c8","observation_id":"a0d0d1b2-5782-4159-b89a-61b383280cc3","resolution":{"observed_at":"2026-08-07T00:49:55.722021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2011.13456","last_updated":"2021-02-10T18:17:04Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2020-11-26T19:39:10Z","title":"Score-Based Generative Modeling through Stochastic Differential Equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.13456","snapshot_observed_at":"2026-08-07T00:49:48.337573Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.337573Z"},"links":{"cited_paper":"/paper/2011.13456","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:7baf93cd8a2df3bd273cc810d8949caa35670ee8222d5d6adbc4207632bcef7e","observation_id":"9c8a1a09-5512-411f-8f0a-b00fd8ec3fca","resolution":{"observed_at":"2026-08-07T00:49:48.337573Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18863","last_updated":"2025-01-31T03:10:10Z","snapshot_observed_at":"2026-08-04T09:37:16.672541Z","submitted_at":"2025-01-31T03:10:10Z","title":"Adaptivity and Convergence of Probability Flow ODEs in Diffusion Generative Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18863","snapshot_observed_at":"2026-08-07T00:49:48.434176Z","title":"Tang and Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.434176Z"},"links":{"cited_paper":"/paper/2501.18863","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:cfdd2851a3779eaf859dbe254a31ba7944f7efb83cb28f80b874f99388b76d91","observation_id":"21eccdb0-88ea-4959-9544-6feffc4c6e90","resolution":{"observed_at":"2026-08-07T00:49:48.434176Z","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":"2026-08-07T00:49:55.458825Z","title":"Tang and Y","venue":null,"work_id":"f80cbc7c-5daf-4b17-9a40-cbbf05899878","year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.517841Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:0ddbde283f24c3ed0ad34336bf5dd2639ade77af7bd84f98225ffddb436c15c1","observation_id":"9e42d7e2-4dd0-4735-9206-b38c881c2f35","resolution":{"observed_at":"2026-08-07T00:49:55.555037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.13115","last_updated":"2024-10-12T03:31:16Z","snapshot_observed_at":"2026-07-06T17:19:39.669611Z","submitted_at":"2024-01-23T21:51:51Z","title":"Contractive Diffusion Probabilistic Models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.13115","snapshot_observed_at":"2026-08-07T00:49:48.596654Z","title":"Tang and H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.596654Z"},"links":{"cited_paper":"/paper/2401.13115","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:fcea247f86c6d023b4aa5fbdaf2712051ad393b284c22d38b26ce7ccb7f5b312","observation_id":"1fe8c3c1-a4f0-42d0-92d9-398d43559cad","resolution":{"observed_at":"2026-08-07T00:49:48.596654Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07487","last_updated":"2025-07-05T11:10:29Z","snapshot_observed_at":"2026-07-06T17:28:47.996338Z","submitted_at":"2024-02-12T08:52:35Z","title":"Score-based Diffusion Models via Stochastic Differential Equations -- a Technical Tutorial","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.07487","snapshot_observed_at":"2026-08-07T00:49:48.650849Z","title":"Tang and H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.650849Z"},"links":{"cited_paper":"/paper/2402.07487","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:2f6838c915227a99d4b37b4fd056187c1a2bf5ca9525280d2f9b3f92f5393162","observation_id":"839513da-9ba1-44f2-bd09-74c347dd74e1","resolution":{"observed_at":"2026-08-07T00:49:48.650849Z","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":"2026-08-07T00:49:55.289037Z","title":null,"venue":null,"work_id":"ddd7f05a-7abd-43e7-9f1c-78696802e177","year":2023},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.739410Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:76701566c651fd703dfa8982efb15bed77da70380fe63436689eba0a597e0269","observation_id":"b031504a-d6e4-44c0-809d-a061fd01d659","resolution":{"observed_at":"2026-08-07T00:49:55.377122Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:55.099353Z","title":null,"venue":null,"work_id":"b081742c-3c33-44e2-815f-80d767f333b3","year":2003},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.846290Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:5b18001845605ce98c8b9bb8b73b93aece18b6194493a3d87a4319031f7cd9d0","observation_id":"cff19d50-0c0c-4e86-8f08-ee08904ca38f","resolution":{"observed_at":"2026-08-07T00:49:55.199092Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:48.971369Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:48.971369Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:d9caed30faf49826e0a93b530d7f7a20df8b1b5be96d6ca9ff6dadb6502f0915","observation_id":"8c70c68e-9e52-4714-9f24-82d32af1a6f2","resolution":{"observed_at":"2026-08-07T00:49:48.971369Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.01639","last_updated":"2024-03-03T23:15:48Z","snapshot_observed_at":"2026-07-06T17:38:55.652543Z","submitted_at":"2024-03-03T23:15:48Z","title":"Theoretical Insights for Diffusion Guidance: A Case Study for Gaussian Mixture Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.01639","snapshot_observed_at":"2026-08-07T00:49:49.123091Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:49.123091Z"},"links":{"cited_paper":"/paper/2403.01639","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:f7038ec77fafd7ab7d1793b11ff6b827e36fff854d82ac825876be6d896f9897","observation_id":"15ec320c-6e89-4069-8727-bb1e962be53d","resolution":{"observed_at":"2026-08-07T00:49:49.123091Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.04760","last_updated":"2024-10-07T05:34:51Z","snapshot_observed_at":"2026-08-06T04:32:12.204479Z","submitted_at":"2024-10-07T05:34:51Z","title":"Stochastic Runge-Kutta Methods: Provable Acceleration of Diffusion Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.04760","snapshot_observed_at":"2026-08-07T00:49:49.229674Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:49.229674Z"},"links":{"cited_paper":"/paper/2410.04760","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:6fb8ef6c1959bd701862b819cdabf6be5540bf0c47025a97e9972344ca6c6678","observation_id":"965a4991-3b57-4885-ac3d-37eae8fd0758","resolution":{"observed_at":"2026-08-07T00:49:49.229674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1708.07747","last_updated":"2017-09-15T21:29:49Z","snapshot_observed_at":"2026-07-06T05:56:41.814255Z","submitted_at":"2017-08-25T14:01:29Z","title":"Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1708.07747","snapshot_observed_at":"2026-08-07T00:49:49.270762Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:49.270762Z"},"links":{"cited_paper":"/paper/1708.07747","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:7450ce5b5a64b03a3f72e5ee436cf499e10e9828f882112c85042bf2570db051","observation_id":"327413ab-b117-4561-a415-69a97b174dd5","resolution":{"observed_at":"2026-08-07T00:49:49.270762Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.13394","last_updated":"2025-09-06T19:33:03Z","snapshot_observed_at":"2026-08-07T18:06:49.501246Z","submitted_at":"2025-02-19T03:09:18Z","title":"Flow-based generative models as iterative algorithms in probability space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.13394","snapshot_observed_at":"2026-08-07T00:49:49.371726Z","title":"Xie and X","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:49.371726Z"},"links":{"cited_paper":"/paper/2502.13394","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:1e2e609666f22b8d9aca202ca71b633db0cdfa40f6cfba0ed6bf09f726003f8b","observation_id":"439d6922-5e2e-4467-abfe-1129a68d8577","resolution":{"observed_at":"2026-08-07T00:49:49.371726Z","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":"2026-08-07T00:49:54.989125Z","title":null,"venue":null,"work_id":"b87dc15c-9c51-40ee-9304-cdbb59b548ac","year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:49.551239Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:d65421183a7e7f8375632f7addd2610d87d0cd7cc914ed916875823925f27e04","observation_id":"0ccb9add-4c41-4d58-b32c-a8c0e49b1a70","resolution":{"observed_at":"2026-08-07T00:49:55.047169Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:49.688922Z","title":"Yakovlev and N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:49.688922Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:2c02ba6f8bc24a9b2678d9ef4aed05d39095fa17ba5a9f7bcb20ff68425a9689","observation_id":"bc47c4f4-dc22-4a81-a40c-a6d9afca9940","resolution":{"observed_at":"2026-08-07T00:49:49.688922Z","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":"2026-08-07T00:49:49.863116Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:49.863116Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:b7b2d4bc9389c260f9e715b538a97eecd3da01776136bfe12b5aa8dc32840751","observation_id":"90559595-4b8b-47cf-93f0-942fa8807cb4","resolution":{"observed_at":"2026-08-07T00:49:49.863116Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.04849","last_updated":"2025-02-07T11:37:51Z","snapshot_observed_at":"2026-07-06T20:32:48.089559Z","submitted_at":"2025-02-07T11:37:51Z","title":"Advancing Wasserstein Convergence Analysis of Score-Based Models: Insights from Discretization and Second-Order Acceleration","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.04849","snapshot_observed_at":"2026-08-07T00:49:50.021297Z","title":"Yu and L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:50.021297Z"},"links":{"cited_paper":"/paper/2502.04849","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:c7fd3223d509ff7f6dbd8edf1650f36b254d90b426502d2bb4bc06973c7f203d","observation_id":"c9c92870-02d2-427c-b332-b7d04d918260","resolution":{"observed_at":"2026-08-07T00:49:50.021297Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.13902","last_updated":"2023-02-25T20:30:35Z","snapshot_observed_at":"2026-07-06T13:04:57.055751Z","submitted_at":"2022-04-29T06:32:38Z","title":"Fast Sampling of Diffusion Models with Exponential Integrator","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.13902","snapshot_observed_at":"2026-08-07T00:49:50.154387Z","title":"Zhang and Y","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:50.154387Z"},"links":{"cited_paper":"/paper/2204.13902","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:06b7c37cc899e250e43acca25dc6672b0bf0fdcc1be6c14068bd020d9a36a24a","observation_id":"ff62c8d9-5298-4c0d-86fd-4f145a81d6e9","resolution":{"observed_at":"2026-08-07T00:49:50.154387Z","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":"2026-08-07T00:49:54.853208Z","title":null,"venue":null,"work_id":"bb9e7894-6014-4772-9f19-6fd1ff012020","year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:50.310298Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:756caf2990bf378386b97d03035b1243b2ae9ced05310e0139a84cd7226534e4","observation_id":"93120b0a-1296-4810-a29d-97f2937d677c","resolution":{"observed_at":"2026-08-07T00:49:54.922160Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:50.459295Z","title":"Zhou and M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:50.459295Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:267519e7a1d83bd30be5513ce8ba5815fd0693bfe42b4ea38dddcff2657498dd","observation_id":"d934a8fb-337c-4f7e-b9d3-26b4690b07c7","resolution":{"observed_at":"2026-08-07T00:49:50.459295Z","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":"2026-08-07T00:49:54.710474Z","title":"Also, det[∇(ϕ −1 h (x))] > 0 and det[ ∇( eϕ−1 h (x))] > 0 for any x ∈ Rd when |h| < H","venue":null,"work_id":"8a670674-ab14-43b3-9c15-03468352036a","year":null},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:50.605160Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:bf46886ea6d0bbe0a0e3660381e1d30293052f55c31f210762630f1f98dad575","observation_id":"d36efd33-309b-44c8-95ae-3a4f01615d15","resolution":{"observed_at":"2026-08-07T00:49:54.795796Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:54.549469Z","title":null,"venue":null,"work_id":"21b5a4eb-6f37-44f8-9cf3-208af41894d0","year":null},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:50.807517Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:dfed3dbe6794ce875fcd56a20be7f98337e34705140dd951e5ae32f2b3e2384d","observation_id":"8f2add72-6b25-4ff7-afdf-bc6087f0c3d6","resolution":{"observed_at":"2026-08-07T00:49:54.643635Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:54.288615Z","title":null,"venue":null,"work_id":"c3187204-2873-46a2-9c43-8abb2d3ad2dc","year":null},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:50.944599Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:cce1ad51bff62cc1bd96f36bc0a645964ec91c0a8c9d60eae92f5cb5057b5483","observation_id":"107d6386-4058-4ea8-9ca4-352d0761f4ef","resolution":{"observed_at":"2026-08-07T00:49:54.401260Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:54.110696Z","title":null,"venue":null,"work_id":"716cf122-8812-4b1f-aabf-36d38e6137c9","year":null},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:51.093320Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:cd7338e7f80adf9d95b5c403a8423658259fb350178fa10dd826ce7f1cc65431","observation_id":"bed8430f-2570-4e7e-b6f8-6d1dac211b75","resolution":{"observed_at":"2026-08-07T00:49:54.183557Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:53.723744Z","title":null,"venue":null,"work_id":"2cb6a10f-e69d-463a-b9f5-5baac205c68d","year":null},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:51.245147Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:90f488959705a9e8ec0ddf97d0a9b919eec4ee6031370acb9d2528e724d0058d","observation_id":"ce19e201-b591-42b8-b1d6-336f15cfbc4f","resolution":{"observed_at":"2026-08-07T00:49:53.936335Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:53.455574Z","title":null,"venue":null,"work_id":"e1a3038b-eb7f-4a14-8cb6-974543537c79","year":null},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:51.379798Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:4f82564404f1ef9a477fc00a345f295ebe18a1a35f273bf1fc6a9e66243e8a74","observation_id":"22a3fbc0-67f1-4dfd-979c-5833e3890466","resolution":{"observed_at":"2026-08-07T00:49:53.601260Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:53.219011Z","title":null,"venue":null,"work_id":"2ea6d011-afe4-4b6e-af75-aa041dc134ad","year":null},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:51.551616Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:ececbdcc5a1954bcabf0f851756514fc967f3a8f502981b0cb5b5fb19c6de132","observation_id":"57aef711-da1d-416a-a9ce-6e145c2479e7","resolution":{"observed_at":"2026-08-07T00:49:53.341715Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:52.961719Z","title":null,"venue":null,"work_id":"1d9f5946-7b1b-4c8b-994f-1b40656f5e50","year":null},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:51.756492Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:e964365022b2b2a28d22736faa1c65d807645b14fcde4730f754e75a39f86443","observation_id":"f683da3c-d61a-4764-b766-269c603f6dac","resolution":{"observed_at":"2026-08-07T00:49:53.065133Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T00:49:52.727876Z","title":"We conclude that for v ∈ Dm, ∂hv is a linear combination of finite terms in Dm+1","venue":null,"work_id":"5966115d-530a-482a-9832-cf74207ce3e8","year":null},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:51.898062Z"},"links":{"citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:2674e1910d423314de2b963517b16117d2084422d56d93add108827787855474","observation_id":"595bfd0f-a42a-4376-8ec9-5a3615a8b305","resolution":{"observed_at":"2026-08-07T00:49:52.824771Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","latest_version":3,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T23:57:40.903240Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models"},"reference_resolution":{"displayed":89,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":74,"verified_exact":0,"verified_fuzzy":15},"total_outbound_references":89},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 89 of 89 outbound references and 3 inbound Pith citation observations for arXiv:2506.13061."}