{"as_of":"2026-08-07T22:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:053de6e61e6a573505ebab229077af537ed97ba2131aa1998977167e9aaf6488","coverage":[{"denominator":60,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":60,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:59:22.248315Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.06778/citation-record","integrity":"/paper/2506.06778/integrity","json":"/paper/2506.06778/citation-record.json","paper":"/paper/2506.06778"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:59:10.676181Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:10.676181Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:71fca480e0bb9a81ff12058755ce3f5c8a23596145d38f7bb626e19e3c6e0220","observation_id":"051824b0-eadf-48e2-9325-87d4b88c8414","resolution":{"observed_at":"2026-08-07T05:59:10.676181Z","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":"2026-08-07T05:59:29.726334Z","title":"Functional inequalities for gaussian convolutions of compactly supported measures: explicit bounds and dimension dependence","venue":null,"work_id":"2d946f58-df7e-4a59-84dc-bdcb344f5b09","year":2018},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:12.524809Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:50dd657cfe30693e4cb3d22a9950ea0bb1be04f0e1e2e162cdde1ce34efa029f","observation_id":"77ad935a-4fac-4874-a02e-acd97638ecbb","resolution":{"observed_at":"2026-08-07T05:59:29.848999Z","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":"2026-08-07T05:59:29.528729Z","title":"and Guillin, A","venue":null,"work_id":"214a2c14-5490-44bc-ac97-7803abe9afc0","year":2022},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:12.646770Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:68379a053f43226f5d86abcc1d6b23f3b58c371e110187b3b95d80d27261b2bd","observation_id":"2f2e60b3-226a-41d7-87fd-8e097911c3f9","resolution":{"observed_at":"2026-08-07T05:59:29.630884Z","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":"2211.01916","last_updated":"2023-02-02T10:34:04Z","snapshot_observed_at":"2026-07-06T14:14:06.039306Z","submitted_at":"2022-11-03T15:51:00Z","title":"Improved Analysis of Score-based Generative Modeling: User-Friendly Bounds under Minimal Smoothness Assumptions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.01916","snapshot_observed_at":"2026-08-07T05:59:13.922958Z","title":"Improved analysis of score-based generative modeling: User-friendly bounds under minimal smoothness assumptions, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:13.922958Z"},"links":{"cited_paper":"/paper/2211.01916","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:a53dcc459ad33ee93eee3f1190e9ea43ed089d6415437350211044c6cf3b4288","observation_id":"2405fe64-156d-4f6f-819b-b5463da09b07","resolution":{"observed_at":"2026-08-07T05:59:13.922958Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.11476","last_updated":"2021-03-05T03:13:30Z","snapshot_observed_at":"2026-08-03T09:16:01.335516Z","submitted_at":"2021-02-23T03:57:04Z","title":"Dimension-free log-Sobolev inequalities for mixture distributions","version":2},"cited_work":{"arxiv_id":"2102.11476","doi":null,"metadata_source":"pith","pith_arxiv_id":"2102.11476","snapshot_observed_at":"2026-08-07T05:59:23.258950Z","title":"Dimension-free log-Sobolev inequalities for mixture distributions","venue":"math.PR","work_id":"f150b167-1ff3-4ecb-9d07-c136f82ad2ee","year":2021},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:15.135493Z"},"links":{"cited_paper":"/paper/2102.11476","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:ff7eca00fa659e1fcfe05024df64128f614df6c7f7e1a357cf0f5f055ace396c","observation_id":"e594fb9f-d358-4523-a262-576ab5f31443","resolution":{"observed_at":"2026-08-07T05:59:23.384199Z","resolver_source":"local_arxiv","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:59:29.313598Z","title":"Particle-based variational inference with generalized wasserstein gradient flow","venue":null,"work_id":"ef8bd940-aecf-458b-b0a8-76217a6634fb","year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:15.256296Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:29f68119197c74cfbc36f36bcd8043a18a4ffce08b6102ca7cefa9b17afbbcd8","observation_id":"0c0e66de-a5a0-4498-b189-ec73c8ce818d","resolution":{"observed_at":"2026-08-07T05:59:29.380853Z","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":"2026-08-07T05:59:29.038024Z","title":"Kernel semi-implicit variational inference","venue":null,"work_id":"d8bbce74-3f21-4657-8b02-92b793babd28","year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:15.377086Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:3461687135c3bac2af48422083b9d2f88ac591816ee076b53a64af849aa350c0","observation_id":"0585fe4b-d4dd-4810-9930-1fd01cfe01b2","resolution":{"observed_at":"2026-08-07T05:59:29.190413Z","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":"2026-08-07T05:59:15.520729Z","title":"Imagenet: A large-scale hierarchical image database","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:15.520729Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:234f5dedbc66f87057935e4bdd763a8b01c2001eda6b50d5a105632e23f342c6","observation_id":"272f8176-699d-4c38-8ac3-843d6b2d2602","resolution":{"observed_at":"2026-08-07T05:59:15.520729Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1602.02644","last_updated":"2016-02-09T09:36:36Z","snapshot_observed_at":"2026-07-06T04:45:27.845680Z","submitted_at":"2016-02-08T16:50:28Z","title":"Generating Images with Perceptual Similarity Metrics based on Deep Networks","version":2},"cited_work":{"arxiv_id":"1602.02644","doi":null,"metadata_source":"pith","pith_arxiv_id":"1602.02644","snapshot_observed_at":"2026-08-07T05:59:23.041940Z","title":"Generating Images with Perceptual Similarity Metrics based on Deep Networks","venue":"cs.LG","work_id":"4d3e16bc-c161-46b7-b445-fa18e48d76b7","year":2016},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:15.605658Z"},"links":{"cited_paper":"/paper/1602.02644","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:50b9e226fd941f582ba996abb72b26d99a1343ea5a03507259a1a765ffd9f339","observation_id":"77555726-aa82-4540-941c-75a77afbf3fe","resolution":{"observed_at":"2026-08-07T05:59:23.129588Z","resolver_source":"local_arxiv","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":"2406.14548","last_updated":"2024-10-10T21:59:49Z","snapshot_observed_at":"2026-08-05T03:20:53.668810Z","submitted_at":"2024-06-20T17:56:02Z","title":"Consistency Models Made Easy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.14548","snapshot_observed_at":"2026-08-07T05:59:15.741945Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:15.741945Z"},"links":{"cited_paper":"/paper/2406.14548","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:9482a3d2c298672f52f05d7f38f896cab4ed0e4b6be70a830b32cb30342e75bd","observation_id":"b0e3fa15-b29d-4da6-aa39-c8343e1fa494","resolution":{"observed_at":"2026-08-07T05:59:15.741945Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1502.04623","last_updated":"2015-05-20T15:29:42Z","snapshot_observed_at":"2026-07-06T04:09:23.043748Z","submitted_at":"2015-02-16T16:48:56Z","title":"DRAW: A Recurrent Neural Network For Image Generation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.04623","snapshot_observed_at":"2026-08-07T05:59:15.886181Z","title":"J., and Wierstra, D","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:15.886181Z"},"links":{"cited_paper":"/paper/1502.04623","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:e977b15f2410a5e3595302476618429f7e67ba9179801a08ad552839df84fcaa","observation_id":"efaf4517-185c-455b-9f55-c3cca5309b27","resolution":{"observed_at":"2026-08-07T05:59:15.886181Z","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":"2026-08-07T05:59:28.821053Z","title":null,"venue":null,"work_id":"d6eb3c58-8199-48b5-af6b-d5d7298b6957","year":1919},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:16.029852Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:ea1832722733be2daaaecbdaefa665e2637888ff3f7102f109f986ff663aa530","observation_id":"82ed662f-572e-4868-a7d3-40ce6502f293","resolution":{"observed_at":"2026-08-07T05:59:28.954977Z","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":"2403.06807","last_updated":"2024-11-19T14:31:02Z","snapshot_observed_at":"2026-08-03T11:30:00.885783Z","submitted_at":"2024-03-11T15:26:34Z","title":"Multistep Consistency Models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.06807","snapshot_observed_at":"2026-08-07T05:59:16.154693Z","title":"Multistep consistency models, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:16.154693Z"},"links":{"cited_paper":"/paper/2403.06807","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:209bb7c8cef138cdde2e96de1845293c81e69818f0c4cef6e84a32dea80c069e","observation_id":"6421a752-fccf-4943-81cb-411a0184a9cc","resolution":{"observed_at":"2026-08-07T05:59:16.154693Z","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":"2026-08-07T05:59:28.540600Z","title":"GAN s trained by a two time-scale update rule converge to a local N ash equilibrium","venue":null,"work_id":"534d9a83-d988-48c0-a974-c792f142494c","year":2017},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:16.275781Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:edfdbdbe31886a70c6e2a2ff18fe864d599e9b3b03dc53caa11cc0b247db8605","observation_id":"2b89e53e-7961-46c4-8f54-49b34112e2a2","resolution":{"observed_at":"2026-08-07T05:59:28.669256Z","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":"2026-08-07T05:59:16.391303Z","title":"Denoising diffusion probabilistic models","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:16.391303Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:32eb72177b088c30734a4f58c303cf0817368f496db56e05b80ee15598f1b11b","observation_id":"0de4b017-6de5-44b0-8ca9-6152f5cb3a61","resolution":{"observed_at":"2026-08-07T05:59:16.391303Z","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":"2026-08-07T05:59:28.308855Z","title":"Elucidating the design space of diffusion-based generative models","venue":null,"work_id":"4681fe80-6e2e-4807-8930-4abbe7464f0c","year":2022},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:16.552916Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:373cde239ad73d0bb94c4efc255b05cdfa60d5a188d481acd707657defb22d97","observation_id":"cc55a4ca-2448-4b38-af2b-4a6386f7e6af","resolution":{"observed_at":"2026-08-07T05:59:28.362802Z","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":"2026-08-07T05:59:16.689451Z","title":"Analyzing and improving the training dynamics of diffusion models","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:16.689451Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:715f24b0a1c0f0176b1b9618df33ac84855c525b43dbcc667347bd3da619d615","observation_id":"598b9460-0623-4cf5-a71d-df68632b1704","resolution":{"observed_at":"2026-08-07T05:59:16.689451Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.02279","last_updated":"2024-03-30T06:29:48Z","snapshot_observed_at":"2026-07-06T16:27:18.829052Z","submitted_at":"2023-10-01T05:07:17Z","title":"Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusion","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.02279","snapshot_observed_at":"2026-08-07T05:59:16.828689Z","title":"Consistency trajectory models: Learning probability flow ode trajectory of diffusion","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:16.828689Z"},"links":{"cited_paper":"/paper/2310.02279","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:7da7b8af7104b8d7cc241d2ad2ee77e38f4e3a93efa07261dd12816760658054","observation_id":"a2bae43e-8e5d-4659-988b-ae9f34966d19","resolution":{"observed_at":"2026-08-07T05:59:16.828689Z","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":"2026-08-07T05:59:28.044359Z","title":null,"venue":null,"work_id":"e3220511-1a12-46ff-9629-fff5b44a4a5a","year":2014},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:16.924373Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:077ea2dc8b115d16876b28335f65966c462e718831ea52b7ee5f334841870f96","observation_id":"ebd73e89-761e-4141-83a8-98870f1f2b1f","resolution":{"observed_at":"2026-08-07T05:59:28.162134Z","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":"1606.04934","last_updated":"2017-01-30T20:36:01Z","snapshot_observed_at":"2026-08-02T10:46:03.922587Z","submitted_at":"2016-06-15T19:46:36Z","title":"Improving Variational Inference with Inverse Autoregressive Flow","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.04934","snapshot_observed_at":"2026-08-07T05:59:17.036541Z","title":"P., Salimans, T., Jozefowicz, R., Chen, X., Sutskever, I., and Welling, M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:17.036541Z"},"links":{"cited_paper":"/paper/1606.04934","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:c3db58fc6db62e186b13ec7e5b5f8c724325618a48ba46156a3a17cde9b28ccb","observation_id":"e7c10b9d-b8b5-427b-b20e-a5ec23b49888","resolution":{"observed_at":"2026-08-07T05:59:17.036541Z","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":"2026-08-07T05:59:27.834185Z","title":"and Hinton, G","venue":null,"work_id":"97d8d1b6-6e26-4cdf-aedd-c5ccfa4c8fc1","year":2009},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:17.186202Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:85e61d57a03119953707deb73bfbcf1c0325144e3220e7113dbdeed6bfeb4f88","observation_id":"9bccbc95-b9cb-4ca1-9170-1cc958285b44","resolution":{"observed_at":"2026-08-07T05:59:27.949843Z","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":"2206.06227","last_updated":"2023-05-03T17:51:05Z","snapshot_observed_at":"2026-07-06T13:20:14.010201Z","submitted_at":"2022-06-13T14:57:35Z","title":"Convergence for score-based generative modeling with polynomial complexity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.06227","snapshot_observed_at":"2026-08-07T05:59:17.281906Z","title":"Convergence for score-based generative modeling with polynomial complexity, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:17.281906Z"},"links":{"cited_paper":"/paper/2206.06227","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:b304714b8ff04bc7d7ab6fb737f8731795f1ebbb5650c049eaec19aaffdbada3","observation_id":"a7f7910c-733b-4172-bfa6-57ef1fbc504f","resolution":{"observed_at":"2026-08-07T05:59:17.281906Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07802","last_updated":"2024-02-12T17:07:02Z","snapshot_observed_at":"2026-08-06T07:21:48.674383Z","submitted_at":"2024-02-12T17:07:02Z","title":"Towards a mathematical theory for consistency training in diffusion models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.07802","snapshot_observed_at":"2026-08-07T05:59:17.432300Z","title":"Towards a mathematical theory for consistency training in diffusion models","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:17.432300Z"},"links":{"cited_paper":"/paper/2402.07802","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:04e662c3c3f43b68f313d3fa19760e870f6e2ebfb53157c3125438e12cb273ff","observation_id":"36dfaa62-b1a0-48ea-b4b5-0d59243d0fb1","resolution":{"observed_at":"2026-08-07T05:59:17.432300Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.11081","last_updated":"2025-03-01T09:52:49Z","snapshot_observed_at":"2026-07-06T19:33:30.263638Z","submitted_at":"2024-10-14T20:43:25Z","title":"Simplifying, Stabilizing and Scaling Continuous-Time Consistency Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.11081","snapshot_observed_at":"2026-08-07T05:59:17.612335Z","title":"and Song, Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:17.612335Z"},"links":{"cited_paper":"/paper/2410.11081","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:72427d05ad36c875269d8ff06afcda3ea7d7ed2b91612e81457ce0555ba52407","observation_id":"dd6488f8-d672-441d-a788-4230f0991052","resolution":{"observed_at":"2026-08-07T05:59:17.612335Z","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":"2026-08-07T05:59:27.591562Z","title":"DPM -solver: A fast ODE solver for diffusion probabilistic model sampling in around 10 steps","venue":null,"work_id":"cfd798a2-bfa0-4d0a-b71f-6eb1fb679f42","year":2022},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:17.724721Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:d8a9fe1317c7a513baa442527a5453e89c77de435b54a9b0e5f80eeb0a96dd0c","observation_id":"852dfd12-93cd-4920-a91d-a0e61e6f930e","resolution":{"observed_at":"2026-08-07T05:59:27.686756Z","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":"2026-08-07T05:59:27.314179Z","title":"Diff-instruct: A universal approach for transferring knowledge from pre-trained diffusion models","venue":null,"work_id":"67dcda89-3535-4e90-9a2b-59887ec21671","year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:17.829375Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:8d25f98593e17f5392b1a68a26b16db6f33b1fa08d2a54201818971e2ba467b8","observation_id":"e24b0d7c-2cbf-4259-a6b8-6991691fcc66","resolution":{"observed_at":"2026-08-07T05:59:27.457949Z","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":"2026-08-07T05:59:27.098522Z","title":"Sampling is as easy as keeping the consistency: convergence guarantee for consistency models","venue":null,"work_id":"5052718f-1796-4b9b-94c5-7876a03203c0","year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:17.969523Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:3165dc1f3810314943ce76c248514ab6866c4d6fdda408aa740584b8ba503215","observation_id":"d91a4f0d-f89a-4525-b25d-2d96e6a20c69","resolution":{"observed_at":"2026-08-07T05:59:27.203622Z","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":"2101.06070","last_updated":"2021-01-15T11:39:09Z","snapshot_observed_at":"2026-08-02T20:54:16.093325Z","submitted_at":"2021-01-15T11:39:09Z","title":"Efficient Semi-Implicit Variational Inference","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.06070","snapshot_observed_at":"2026-08-07T05:59:18.079870Z","title":"Efficient semi-implicit variational inference","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:18.079870Z"},"links":{"cited_paper":"/paper/2101.06070","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:83485f89a4ce9f11acb15970c97b62ca78147cd80abe0cd5f3e3180cb0af2e8b","observation_id":"9a5522d4-29f9-4231-9162-27bdeb1cf79f","resolution":{"observed_at":"2026-08-07T05:59:18.079870Z","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":"2026-08-07T05:59:18.172164Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:18.172164Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:971a575ea635bec41829e68f9d3104c8a6ec5b298c07d108a0edb5fd2fedacf1","observation_id":"8f1213f8-d2de-47fe-88b3-ed8d4bcabec2","resolution":{"observed_at":"2026-08-07T05:59:18.172164Z","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":"2026-08-07T05:59:26.882779Z","title":"and Villani, C","venue":null,"work_id":"75343836-c783-4103-9df3-540bc70fe5aa","year":2000},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:18.328618Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:f2f3c5760cd6ebd09cfa755dc7e8717c91e4a4cc71f5d46a6598b1442314cecc","observation_id":"33d6ea1d-7db4-4041-88b4-15525e3bc52d","resolution":{"observed_at":"2026-08-07T05:59:26.961319Z","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":"1511.02386","last_updated":"2016-05-30T21:16:38Z","snapshot_observed_at":"2026-07-06T04:35:44.020869Z","submitted_at":"2015-11-07T19:01:48Z","title":"Hierarchical Variational Models","version":2},"cited_work":{"arxiv_id":"1511.02386","doi":null,"metadata_source":"pith","pith_arxiv_id":"1511.02386","snapshot_observed_at":"2026-08-07T05:59:22.585345Z","title":"Hierarchical Variational Models","venue":"stat.ML","work_id":"9ecc7af8-3e32-462d-a64e-a706069de47d","year":2015},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:18.433083Z"},"links":{"cited_paper":"/paper/1511.02386","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:0022f963377a6def3b2e46c3ac3c4925f001a7072a340a8568cf50a9b0d9be7e","observation_id":"4001287f-6747-4db8-9caf-553b3c716cc1","resolution":{"observed_at":"2026-08-07T05:59:22.723497Z","resolver_source":"local_arxiv","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":"1906.00446","last_updated":"2019-06-02T16:46:42Z","snapshot_observed_at":"2026-08-04T16:17:18.141333Z","submitted_at":"2019-06-02T16:46:42Z","title":"Generating Diverse High-Fidelity Images with VQ-VAE-2","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.00446","snapshot_observed_at":"2026-08-07T05:59:18.518185Z","title":"Generating diverse high-fidelity images with vq-vae-2, 2019","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:18.518185Z"},"links":{"cited_paper":"/paper/1906.00446","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:9706e8a3e0947fd06ea5be3a3f6eff393999100b0c118d90c2a36b7f3fb7d529","observation_id":"d2e39eb9-6b67-4457-a643-e770a3765e5d","resolution":{"observed_at":"2026-08-07T05:59:18.518185Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1505.05770","last_updated":"2016-06-14T09:01:36Z","snapshot_observed_at":"2026-07-06T04:18:31.821860Z","submitted_at":"2015-05-21T15:36:37Z","title":"Variational Inference with Normalizing Flows","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1505.05770","snapshot_observed_at":"2026-08-07T05:59:18.659956Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:18.659956Z"},"links":{"cited_paper":"/paper/1505.05770","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:1614bdf1589649c07238bf8b66f799fbd483cc83d65d71841e54034c7a8b8d69","observation_id":"abfeb780-f666-43bd-9a58-a50b595fcd88","resolution":{"observed_at":"2026-08-07T05:59:18.659956Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1401.4082","last_updated":"2014-05-30T10:00:36Z","snapshot_observed_at":"2026-08-04T18:27:19.220179Z","submitted_at":"2014-01-16T16:33:23Z","title":"Stochastic Backpropagation and Approximate Inference in Deep Generative Models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1401.4082","snapshot_observed_at":"2026-08-07T05:59:18.822732Z","title":"J., Mohamed, S., and Wierstra, D","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:18.822732Z"},"links":{"cited_paper":"/paper/1401.4082","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:ed4ec9637083015e8235af90bfca7caf1f693ff81cd3db13edb859da8e2ad9c1","observation_id":"d895bf58-b5f9-4bbe-84ff-d888bca63670","resolution":{"observed_at":"2026-08-07T05:59:18.822732Z","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":"2026-08-07T05:59:26.637923Z","title":"Improved techniques for training gans","venue":null,"work_id":"059b2130-feb3-4a8f-ad34-28c3d1a7186b","year":2016},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:18.983642Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:99042d054c80dd72c8af55ead003bb8fc09520e5f0ba0f1b1d2b86956f70a45a","observation_id":"717e7e0b-8871-4a9a-8940-726a95c4bc24","resolution":{"observed_at":"2026-08-07T05:59:26.711745Z","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":"2026-08-07T05:59:26.428874Z","title":"Multistep distillation of diffusion models via moment matching","venue":null,"work_id":"d727f963-2cb5-4113-9faa-cb8fa4abe923","year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:19.129135Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:3352bf90166e1d9061d687c32d730537eaf9eea2795b39c2662168439b22f0da","observation_id":"631d5e88-eb06-4c90-8465-ce33a8fae71c","resolution":{"observed_at":"2026-08-07T05:59:26.526856Z","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":"1503.03585","last_updated":"2015-11-18T21:50:51Z","snapshot_observed_at":"2026-07-06T04:11:47.439779Z","submitted_at":"2015-03-12T04:51:37Z","title":"Deep Unsupervised Learning using Nonequilibrium Thermodynamics","version":8},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1503.03585","snapshot_observed_at":"2026-08-07T05:59:19.310953Z","title":"N., Weiss, E","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:19.310953Z"},"links":{"cited_paper":"/paper/1503.03585","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:cd57b2f6fd3e1191ce1b3c90867a0e66ccd0fdb653b8afcec7a542a6a5668e5f","observation_id":"21568105-ed50-4b86-8d88-797be47f91b1","resolution":{"observed_at":"2026-08-07T05:59:19.310953Z","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":"2026-08-07T05:59:19.471058Z","title":"Denoising diffusion implicit models","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:19.471058Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:ea6f0169589aa204f2a22ac29b884c4a52324f59a4259ce4ce7eaea923a64b9b","observation_id":"86d77284-fa5a-4ea7-acad-5879c8109dda","resolution":{"observed_at":"2026-08-07T05:59:19.471058Z","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":"2026-08-07T05:59:26.202796Z","title":"and Dhariwal, P","venue":null,"work_id":"30838633-ee45-4ed2-879c-3ee56365b717","year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:19.599340Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:1b6a267e45d14a5d2600af59c40ab1a5118b429725cb435b9bde376ebb9c4f64","observation_id":"94c15d93-aac4-43ea-af4e-1e08a99be9ea","resolution":{"observed_at":"2026-08-07T05:59:26.298181Z","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":"2026-08-07T05:59:25.955867Z","title":"and Ermon, S","venue":null,"work_id":"ed81f4ee-43a8-4dad-889d-d9ef11d48ba7","year":2019},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:19.760231Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:fed4359f68b295d8293ff4bf26916e4e0daa415bf0a2115b9cae5f7154175382","observation_id":"459a7a9b-541d-4c9b-9935-714006a35800","resolution":{"observed_at":"2026-08-07T05:59:26.089500Z","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":"2026-08-07T05:59:19.890037Z","title":"P., Kumar, A., Ermon, S., and Poole, B","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:19.890037Z"},"links":{"cited_paper":"/paper/2011.13456","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:94700f3681bd51b9f752e6b86e928202bd7d803cc6f8ed9b6064637c96536ace","observation_id":"46efac73-6b2b-4b62-a896-ac3c304c4744","resolution":{"observed_at":"2026-08-07T05:59:19.890037Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.01469","last_updated":"2023-05-31T06:17:10Z","snapshot_observed_at":"2026-07-06T14:58:02.852672Z","submitted_at":"2023-03-02T18:30:16Z","title":"Consistency Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.01469","snapshot_observed_at":"2026-08-07T05:59:19.993507Z","title":"Consistency models","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:19.993507Z"},"links":{"cited_paper":"/paper/2303.01469","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:ee0403fad15eb72d20715266075f6bffda888a1754cd2c197435462a92732065","observation_id":"ced1f277-27ea-4cbe-8f3d-239692995e2a","resolution":{"observed_at":"2026-08-07T05:59:19.993507Z","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":"2026-08-07T05:59:25.716488Z","title":"L., Taylor, E., and Loaiza-Ganem, G","venue":null,"work_id":"97c53dae-0ff2-45fd-8af2-5a5a07204cbc","year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:20.078512Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:4a271d4a59893e2a5f4dcd4b06eef2175a8eac842254da18fa044167f96e6608","observation_id":"76b8ad95-19c3-431d-a8fb-fedb51205f1e","resolution":{"observed_at":"2026-08-07T05:59:25.822914Z","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":"2026-08-07T05:59:20.175688Z","title":"Rethinking the inception architecture for computer vision","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:20.175688Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:f0ecd57ae0f11e13360547601ec9865d9822433148ba4c89b3b9eec25ca3e3ca","observation_id":"b0e54847-f85a-4c48-a5d2-f1fd0cd626ac","resolution":{"observed_at":"2026-08-07T05:59:20.175688Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1602.02282","last_updated":"2016-05-27T09:05:10Z","snapshot_observed_at":"2026-07-06T04:45:20.139549Z","submitted_at":"2016-02-06T17:32:48Z","title":"Ladder Variational Autoencoders","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1602.02282","snapshot_observed_at":"2026-08-07T05:59:20.278667Z","title":"K., Raiko, T., Maaløe, L., Sønderby, S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:20.278667Z"},"links":{"cited_paper":"/paper/1602.02282","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:62a582c38e84b6376d35ffcf59b5e9b49f7c4804fa7185edefe3b567a06916f9","observation_id":"f65119e0-24c1-4f65-8dad-d4e4bd483fca","resolution":{"observed_at":"2026-08-07T05:59:20.278667Z","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":"2026-08-07T05:59:25.487711Z","title":null,"venue":null,"work_id":"2b492e74-4ff4-410a-897f-ad4f009d1f48","year":2019},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:20.355720Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:727365be51fa92f03cd1981a6fd3160434101f4fdc9d116b57cdb20bb08a091b","observation_id":"dffad3d2-58d2-4100-ac75-e1b3040296be","resolution":{"observed_at":"2026-08-07T05:59:25.596228Z","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":"2007.03898","last_updated":"2021-01-08T03:08:58Z","snapshot_observed_at":"2026-07-06T09:36:24.838522Z","submitted_at":"2020-07-08T04:56:56Z","title":"NVAE: A Deep Hierarchical Variational Autoencoder","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.03898","snapshot_observed_at":"2026-08-07T05:59:20.474339Z","title":"and Kautz, J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:20.474339Z"},"links":{"cited_paper":"/paper/2007.03898","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:c7703f149ac561da11ae142f06fa7d59b7aa9ed05b47ae219b45f6df48f268c4","observation_id":"46122b67-636e-42cf-9df6-26d5edfc1780","resolution":{"observed_at":"2026-08-07T05:59:20.474339Z","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":"2026-08-07T05:59:20.594196Z","title":"A connection between score matching and denoising autoencoders","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:20.594196Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:fd36c2a0330b228e9137e4d7614a1451ee17848c6be3848fb30908b590c1acb2","observation_id":"29d707de-406e-4bf3-9883-10d0d8cf7588","resolution":{"observed_at":"2026-08-07T05:59:20.594196Z","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":"2026-08-07T05:59:25.217482Z","title":"Prolificdreamer: High-fidelity and diverse text-to-3d generation with variational score distillation","venue":null,"work_id":"db525eb3-7351-4dfd-be15-e46f6f670450","year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:20.708942Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:9f887af726f8aeaa4a0530bfd05ba0c06fca4685694ba41ec794f278129abb55","observation_id":"a91b9cf6-e44f-4a9c-b38b-f4071c3b9d50","resolution":{"observed_at":"2026-08-07T05:59:25.337808Z","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":"2026-08-07T05:59:24.990731Z","title":"Diffusion- GAN : Training GAN s with diffusion","venue":null,"work_id":"2ed1210f-1521-43f8-b578-16c897a331ed","year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:20.829715Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:87c8eb4688204a99a63eee506521cc6748b994fe40c4db42dbbfb14fc6e91677","observation_id":"0acda56b-3702-4ec6-9ba8-79d5709e2613","resolution":{"observed_at":"2026-08-07T05:59:25.045044Z","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":"2026-08-07T05:59:21.012391Z","title":"Pfgm++: Unlocking the potential of physics-inspired generative models","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:21.012391Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:3f5fea93dec2f0a1be0d6b96e322ba74facbe5090abed21133ba7a91c16c7d34","observation_id":"59cbde70-6aba-437f-b367-65a7e0d02ce5","resolution":{"observed_at":"2026-08-07T05:59:21.012391Z","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":"2026-08-07T05:59:24.764348Z","title":"and Zhou, M","venue":null,"work_id":"813e7bc2-c0e7-4941-a49a-84eec6f167ce","year":2018},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:21.160480Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:e6a0e63033f22abcd6dd39e043299873103882d7871c2c4a2dd52ce0c228785f","observation_id":"9759bbc3-c4f1-450b-bb46-9af68547cbf5","resolution":{"observed_at":"2026-08-07T05:59:24.859765Z","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":"2311.18828","last_updated":"2024-10-04T04:41:06Z","snapshot_observed_at":"2026-08-05T06:14:40.189444Z","submitted_at":"2023-11-30T18:59:20Z","title":"One-step Diffusion with Distribution Matching Distillation","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18828","snapshot_observed_at":"2026-08-07T05:59:21.304631Z","title":"T., and Park, T","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:21.304631Z"},"links":{"cited_paper":"/paper/2311.18828","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:ac48ab369ee5240fbcbc934a6eb8ba680fdd5f13ff9893f2257fcb71dadd8585","observation_id":"705c0b55-1b9e-4d75-86c6-ace568d8fe59","resolution":{"observed_at":"2026-08-07T05:59:21.304631Z","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":"2026-08-07T05:59:24.617862Z","title":"and Zhang, C","venue":null,"work_id":"ba88103f-c4d5-463e-bff8-a57f64847afa","year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:21.379995Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:4d77d6c4b73d8b5a7d3272de3e87231d5ba24bef30cad65a95c6df9c29e529b9","observation_id":"4d330d39-68aa-43fe-a3b3-ddac5110ec1e","resolution":{"observed_at":"2026-08-07T05:59:24.716513Z","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":"2026-08-07T05:59:24.394539Z","title":"Hierarchical semi-implicit variational inference with application to diffusion model acceleration","venue":null,"work_id":"47f2be58-ce4e-4054-8e9f-58f6bdfb823d","year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:21.503171Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:ba09475ab039cc15a10d7c9252a42935b6b26e4614c6727d675ed226cc044fbd","observation_id":"ed56f900-dee5-435b-858a-0ed6f306605a","resolution":{"observed_at":"2026-08-07T05:59:24.503587Z","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":"2026-08-07T05:59:24.086207Z","title":"Truncated diffusion probabilistic models and diffusion-based adversarial auto-encoders","venue":null,"work_id":"0da835e5-8411-47ab-8cdd-979e25951d60","year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:21.646857Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:0d8a159c74e594e08036e2fa2120c14debd4fbbdbacc2b4f518a3e8dcc4696ea","observation_id":"bdefd71c-cf46-44ad-8a65-5d11ba7a0356","resolution":{"observed_at":"2026-08-07T05:59:24.257411Z","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":"2026-08-07T05:59:23.870515Z","title":"Learning stackable and skippable LEGO bricks for efficient, reconfigurable, and variable-resolution diffusion modeling, 2023 b","venue":null,"work_id":"f510bd7e-f560-4a49-a4d1-1d3db3771d19","year":2023},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:21.811788Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:83279708a90f53de4dea829312b6fb769827bb8ce1294a5bf418fb5df19deb51","observation_id":"a920a6b1-f577-4cc0-8717-97e38bcde6d1","resolution":{"observed_at":"2026-08-07T05:59:23.974758Z","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":"2406.01561","last_updated":"2025-02-08T17:46:58Z","snapshot_observed_at":"2026-07-06T18:24:34.736988Z","submitted_at":"2024-06-03T17:44:11Z","title":"Guided Score identity Distillation for Data-Free One-Step Text-to-Image Generation","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.01561","snapshot_observed_at":"2026-08-07T05:59:21.934648Z","title":"Long and short guidance in score identity distillation for one-step text-to-image generation","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:21.934648Z"},"links":{"cited_paper":"/paper/2406.01561","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:a502ee167d9335987162713e69da22588214d61d2ba7db4de76257ad3b3be842","observation_id":"5734c103-22fa-4315-9760-84842d852df1","resolution":{"observed_at":"2026-08-07T05:59:21.934648Z","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":"2026-08-07T05:59:23.599441Z","title":"Score identity distillation: Exponentially fast distillation of pretrained diffusion models for one-step generation","venue":null,"work_id":"f83b57ff-f618-4131-a3aa-9aa90ddd0179","year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:22.089954Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:7e6f7cbc01dfdfbefb9deee7787f4f4c39597ad092620674564c50e156e33530","observation_id":"01f6eb4c-6056-47e7-9eea-c1a82c949f3c","resolution":{"observed_at":"2026-08-07T05:59:23.735422Z","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":"2026-08-07T05:59:22.248315Z","title":"Adversarial score identity distillation: Rapidly surpassing the teacher in one step","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:22.248315Z"},"links":{"citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:857e1e199155fd91991abb2508ff1ef7b6a4cf56129bd47e80df71fd66bc728f","observation_id":"55be05a5-f130-43e6-94f2-516f801ba06a","resolution":{"observed_at":"2026-08-07T05:59:22.248315Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-07T05:47:19.949707Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models"},"reference_resolution":{"displayed":60,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":33,"verified_exact":3,"verified_fuzzy":24},"total_outbound_references":60},"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 7 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2506.06778."}