{"as_of":"2026-08-22T21:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:29415b6b917a633632d45247fa74a901afea4abf00960618a3bc594ed21d2631","coverage":[{"denominator":77,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":77,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-10T06:20:49.175000Z","state":"measured"},{"denominator":78,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":78,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T07:35:29.225321Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.08505","snapshot_observed_at":"2026-08-01T07:35:29.225321Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21436","last_updated":"2026-07-23T15:39:27Z","snapshot_observed_at":"2026-08-08T05:15:59.192599Z","submitted_at":"2026-07-23T15:39:27Z","title":"Stochastic Quantization as Optimal Control","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-01T07:35:29.225321Z"},"links":{"cited_paper":"/paper/2607.08505","citing_paper":"/paper/2607.21436"},"observation_digest":"sha256:947524f1de590d9783f8fd82d177c638aafd79fa9693322266a05ed9d3144cf3","observation_id":"231f3d28-aee3-45e8-938b-dc1145f9e862","resolution":{"observed_at":"2026-08-01T07:35:29.225321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.08505/citation-record","integrity":"/paper/2607.08505/integrity","json":"/paper/2607.08505/citation-record.json","paper":"/paper/2607.08505"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T06:26:51.833400Z","title":"The order parameter in Fig","venue":null,"work_id":"4b6132a2-f9d2-47bc-b4b7-62bcb95d4b98","year":2000},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:51ff7395e0dd260731dba944a1a175c23e610fce10f605c8d8acfd39c0c19fdc","observation_id":"45c777ca-277b-4324-8087-c98e7be181ba","resolution":{"observed_at":"2026-07-10T06:26:51.834615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.823918Z","title":"The order parameter in Fig","venue":null,"work_id":"1038e89a-01a2-4578-9767-5549a7720a45","year":1923},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:722d8aa1985c4e6fa1d8e8ecbabf877dd22c35028221b918c295c21ecfcb881a","observation_id":"91a5a345-760d-4db6-9ea7-ddaa94b44a7a","resolution":{"observed_at":"2026-07-10T06:26:51.825268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.829132Z","title":"At zero diffusion time, the score in the raw field variable is fixed by the lattice action","venue":null,"work_id":"7fb234a5-0f61-41c5-8506-4278f8c0a38d","year":null},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:bea707e1ba74b78a5c5fb9e5bbee91a6586ddfe4846f51ec8be699f76696e176","observation_id":"d822047f-b57d-410e-ab1e-8442f022380f","resolution":{"observed_at":"2026-07-10T06:26:51.832291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.803283Z","title":null,"venue":null,"work_id":"04959a9c-b312-4100-837f-ed470b1b9574","year":1923},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:4a8b2b3f84f467d8d676baaae52ff70d12626584ff4a67152b91ad4fe777b161","observation_id":"9ac2a69e-9460-426e-97b9-704ddab647ab","resolution":{"observed_at":"2026-07-10T06:26:51.805597Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.816029Z","title":"32 decompose the recorded denois- ing score-matching loss according to the diffusion time sampled for each training configuration","venue":null,"work_id":"e327ff0d-4bcc-42e5-88d3-67d822d75aff","year":1923},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:65f04b84a12cc160b720cb76be80544e6fe47bdbef4dc0f3f479b9ea35c9eded","observation_id":"31bd9e16-015b-47ed-9fea-b38480d4f99d","resolution":{"observed_at":"2026-07-10T06:26:51.818209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.841705Z","title":"We take the free-field limit of Eq","venue":null,"work_id":"d3019d38-186e-429d-92fa-f7cde6bd5bae","year":null},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:8094e34e608625b49cf73b180a17e3de4100ac8f874c1962d77b38d89708bc38","observation_id":"e591c25d-1ae6-4bc0-8359-e5e154bb2f85","resolution":{"observed_at":"2026-07-10T06:26:51.843875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.821281Z","title":"Flow-based lattice samplers [22, 66–69] instead quantify efficiency through reweighting","venue":null,"work_id":"49d1604e-c122-4be3-8060-2c234e788b1f","year":null},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:c95e39c6058663b5bb24f128a01e2537c46278c450899c949b7fab837f0a6809","observation_id":"4948efbe-2240-46f8-83de-37a49226e8ba","resolution":{"observed_at":"2026-07-10T06:26:51.823042Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.806777Z","title":"The three curves cross during training, and the late-epoch resid- ual is largest at the smallest diffusion time","venue":null,"work_id":"782343d8-325b-4bf2-b9f7-130d832861f3","year":null},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:786837886ac05a3bf588b259f1a92e7868d4d8daa2b3036c21bf18dbe1e32f41","observation_id":"dd961da9-2949-4b5e-a19a-b2d0ea8c943c","resolution":{"observed_at":"2026-07-10T06:26:51.810276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.844565Z","title":"Montvay and G","venue":null,"work_id":"24715c00-6b1d-45f8-aebc-31e7c8b1118e","year":1997},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:99425ffd792f177cdb1161c1a48aaef83ff22f28e2d58afe2a627dd1ab0dd6c3","observation_id":"b7b7896d-ce15-4f5f-8da3-a87b249f0fa6","resolution":{"observed_at":"2026-07-10T06:26:51.846020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.864289Z","title":"Smit,Introduction to Quantum Fields on a Lattice, Vol","venue":null,"work_id":"d78dd8fd-44f4-4c69-b112-cbf514731007","year":2003},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:cdc62a06ffbe13a76d05566b10d0b97b45173cfec56d5c8b9b819b5d18a8ccfe","observation_id":"950d9134-19b5-4b00-85d3-05e34761ce7a","resolution":{"observed_at":"2026-07-10T06:26:51.865468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.818785Z","title":"Duane, A","venue":null,"work_id":"84fc33b3-e76a-401d-92c2-942ca6c5da19","year":1987},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:9ab1e3b10a0b4004473cda77392689f3726e4f3574c5a692b543c33bc3ad7b20","observation_id":"ef33bdb6-d7e6-4ca1-9bcb-36da88206d3f","resolution":{"observed_at":"2026-07-10T06:26:51.819944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T17:57:26.359582Z","title":null,"venue":null,"work_id":"74c99ec0-278e-4bd1-81a1-f96a9dd54079","year":1987},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:99a202ad6f8b823d019d9f35c8e57200acea5c180f257aebd0105c8f8fbf4270","observation_id":"79b8435d-f278-4428-b81c-7ccdf777c730","resolution":{"observed_at":"2026-07-10T06:26:51.857411Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T17:57:26.445168Z","title":"Wolff, Collective Monte Carlo Updating for Spin Sys- tems, Phys","venue":null,"work_id":"81ce36af-f2c9-445e-8b23-272219bf9f3f","year":1989},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:e7c6ce851ff675ff7865e161e66de8b5b1e90f6725720109c78b5a2139ac9ff7","observation_id":"d24f44f8-b3fc-4d6a-b388-e991286f156b","resolution":{"observed_at":"2026-07-10T06:26:51.859449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.812127Z","title":null,"venue":null,"work_id":"c0f2c791-c822-45da-b54a-885218d45637","year":1988},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:7b25bbb85793bf0906587a6679c69b095bd8440074a0766991218c97e113b4b9","observation_id":"55d06e26-0cfb-4887-958e-e5f9b60a6a92","resolution":{"observed_at":"2026-07-10T06:26:51.814319Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.839427Z","title":"Luscher and P","venue":null,"work_id":"0ae9e0bc-46e5-4f19-9a64-885016565553","year":1989},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:c0fbf0c4563c5d37d70c95fd93f5f46c19c742bfca9cd8e1fc7776c3e1b156c2","observation_id":"4536fa27-ebcc-4416-a378-47cf99e1457d","resolution":{"observed_at":"2026-07-10T06:26:51.841048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"cond-mat/0012164","last_updated":"2002-05-03T12:12:23Z","snapshot_observed_at":"2026-08-07T03:39:28.657442Z","submitted_at":"2000-12-10T11:09:09Z","title":"Critical Phenomena and Renormalization-Group Theory","version":6},"cited_work":{"arxiv_id":"cond-mat/0012164","doi":"10.1016/s0370-1573(02)00219-3","metadata_source":"pith","pith_arxiv_id":"cond-mat/0012164","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Critical Phenomena and Renormalization-Group Theory","venue":"cond-mat.stat-mech","work_id":"1bfd9d08-592d-4deb-ae83-1d271e839191","year":2000},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/cond-mat/0012164","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:f4e57db251c6ccefdb4031f6cc65b47c4552af8c6c42bf1098778daecacbaaa9","observation_id":"a65d3e0e-877b-45b0-8589-f4f1e56d0acc","resolution":{"observed_at":"2026-07-10T06:26:51.427876Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0902.0045","last_updated":"2009-01-31T04:03:37Z","snapshot_observed_at":"2026-08-15T05:56:14.017076Z","submitted_at":"2009-01-31T04:03:37Z","title":"An improved lattice measurement of the critical coupling in phi^4_2 theory","version":1},"cited_work":{"arxiv_id":"0902.0045","doi":null,"metadata_source":"pith","pith_arxiv_id":"0902.0045","snapshot_observed_at":"2026-07-10T06:26:51.421084Z","title":"An improved lattice measurement of the critical coupling in phi^4_2 theory","venue":"hep-lat","work_id":"eb2ab2b2-0b62-44c7-9043-a30966b94f15","year":2009},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/0902.0045","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:002c1050aab93b9ceca63bc69c8f631e3b7703d7dbb3183ba7da241124313eac","observation_id":"be02bd0e-34df-49c3-88d1-fbb3da9030df","resolution":{"observed_at":"2026-07-10T06:26:51.422290Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1107.3324","last_updated":"2011-07-17T19:03:41Z","snapshot_observed_at":"2026-08-15T04:40:43.470962Z","submitted_at":"2011-07-17T19:03:41Z","title":"Supersymmetry Breaking in Low Dimensional Models","version":1},"cited_work":{"arxiv_id":"1107.3324","doi":null,"metadata_source":"pith","pith_arxiv_id":"1107.3324","snapshot_observed_at":"2026-07-10T06:26:51.408069Z","title":"Supersymmetry Breaking in Low Dimensional Models","venue":"hep-lat","work_id":"629a2aa2-9b53-4258-889c-0923dbf2ffd6","year":2011},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/1107.3324","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:e7cd0db5873e271169cff9f3c56e90d56526359b73e9f252ecb046f22cc1a4d2","observation_id":"56f2acf5-fae4-402e-82ef-2d2b2e1614c3","resolution":{"observed_at":"2026-07-10T06:26:51.409281Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.03533","last_updated":"2021-12-23T13:15:53Z","snapshot_observed_at":"2026-08-19T18:57:12.373702Z","submitted_at":"2018-11-08T16:26:15Z","title":"Reducing Autocorrelation Times in Lattice Simulations with Generative Adversarial Networks","version":4},"cited_work":{"arxiv_id":"1811.03533","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.03533","snapshot_observed_at":"2026-07-10T06:26:51.335866Z","title":"Reducing Autocorrelation Times in Lattice Simulations with Generative Adversarial Networks","venue":"hep-lat","work_id":"ac418114-26c3-4147-b4f2-3fb226115a94","year":2018},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/1811.03533","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:a4cf3726ebff9758e2b6737b48865f6650bb67ebed7bac8f1c448a45ad88f5bb","observation_id":"9765080e-f43e-41b9-9592-56f30811f87e","resolution":{"observed_at":"2026-07-10T06:26:51.337103Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.12072","last_updated":"2019-09-09T17:53:37Z","snapshot_observed_at":"2026-08-14T16:40:43.154751Z","submitted_at":"2019-04-26T23:30:09Z","title":"Flow-based generative models for Markov chain Monte Carlo in lattice field theory","version":3},"cited_work":{"arxiv_id":"1904.12072","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.12072","snapshot_observed_at":"2026-07-10T06:26:51.361262Z","title":"Albergo, G","venue":"hep-lat","work_id":"6299a7a0-8615-463d-bcf7-a1d5972963bc","year":2019},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/1904.12072","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:a0913f2e34dd23ed302deb4e21de6c51eb35451abe4f7b7ec5eaa600905d0886","observation_id":"69662280-50fd-43c4-a155-03220ad65381","resolution":{"observed_at":"2026-07-10T06:26:51.362822Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.12481","last_updated":"2021-10-14T22:54:57Z","snapshot_observed_at":"2026-08-20T18:56:28.569965Z","submitted_at":"2021-05-26T11:31:16Z","title":"Efficient Modelling of Trivializing Maps for Lattice $\\phi^4$ Theory Using Normalizing Flows: A First Look at Scalability","version":2},"cited_work":{"arxiv_id":"2105.12481","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.12481","snapshot_observed_at":"2026-07-10T06:26:51.327041Z","title":"Del Debbio, J","venue":"hep-lat","work_id":"4acc7bce-ad48-48e7-add6-0f2cfe9abaac","year":2021},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2105.12481","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:d7d46a90f526ab90576c5d922961b810f70c0333a4da8ef4526476e2dcc7ea9f","observation_id":"ce19f8fd-4a33-4202-97fd-d28a806ad863","resolution":{"observed_at":"2026-07-10T06:26:51.329156Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.00980","last_updated":"2022-07-03T08:32:18Z","snapshot_observed_at":"2026-08-18T10:15:01.580390Z","submitted_at":"2022-07-03T08:32:18Z","title":"Conditional Normalizing flow for Monte Carlo sampling in lattice scalar field theory","version":1},"cited_work":{"arxiv_id":"2207.00980","doi":null,"metadata_source":"pith","pith_arxiv_id":"2207.00980","snapshot_observed_at":"2026-07-10T06:26:51.410442Z","title":"Singha, D","venue":"hep-lat","work_id":"5389e90c-d15e-4436-9149-c4e71287608a","year":2022},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2207.00980","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:7de4d03d5609d1ad9cb6cfe14180e67b79f83ee89c4999def8333492b702f4e7","observation_id":"979c19ef-48a8-4cda-bef1-0bbaa0d0c100","resolution":{"observed_at":"2026-07-10T06:26:51.411859Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2202.11712","last_updated":"2022-02-23T19:00:00Z","snapshot_observed_at":"2026-08-16T17:19:07.765874Z","submitted_at":"2022-02-23T19:00:00Z","title":"Flow-based sampling in the lattice Schwinger model at criticality","version":1},"cited_work":{"arxiv_id":"2202.11712","doi":null,"metadata_source":"pith","pith_arxiv_id":"2202.11712","snapshot_observed_at":"2026-07-10T06:26:51.293021Z","title":"Flow-based sampling in the lattice Schwinger model at criticality","venue":"hep-lat","work_id":"f97e8abd-9c0e-47ed-af7b-02612f84f5f6","year":2022},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2202.11712","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:4f4f46ae5b90d72c3e975f196bb64db024e5c580b0758b19b2f14123a6b983d8","observation_id":"8f135223-7b30-4780-8f22-427e06180754","resolution":{"observed_at":"2026-07-10T06:26:51.295545Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.08862","last_updated":"2022-07-06T15:59:22Z","snapshot_observed_at":"2026-08-20T00:45:58.522817Z","submitted_at":"2022-01-21T19:00:18Z","title":"Stochastic normalizing flows as non-equilibrium transformations","version":3},"cited_work":{"arxiv_id":"2201.08862","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.08862","snapshot_observed_at":"2026-07-10T06:26:51.383518Z","title":"Caselle, E","venue":"hep-lat","work_id":"34269957-34c4-4f6f-8576-f01ad41ba18f","year":2022},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2201.08862","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:98986e1b976fe993b41e93b081ba2464b870c058238eccfb640a03ced8ef9bf9","observation_id":"094c2517-a2b2-45b0-a87a-aef42276342b","resolution":{"observed_at":"2026-07-10T06:26:51.384866Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.02216","last_updated":"2022-01-06T19:15:25Z","snapshot_observed_at":"2026-08-16T17:29:51.798676Z","submitted_at":"2022-01-06T19:15:25Z","title":"Tackling critical slowing down using global correction steps with equivariant flows: the case of the Schwinger model","version":1},"cited_work":{"arxiv_id":"2201.02216","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.02216","snapshot_observed_at":"2026-07-10T06:26:51.277942Z","title":"Finkenrath,Tackling critical slowing down using global correction steps with equivariant flows: the case of the Schwinger model,2201.02216","venue":"hep-lat","work_id":"a34e575f-9348-4cfa-98ea-ee6e41ecbe3c","year":2022},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2201.02216","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:41d9908a5bf7137b2cca3bb7b1d93ea9149a8988513c5d76756b3f51d1c802de","observation_id":"af470ee5-af72-4019-8e10-a9b88996516d","resolution":{"observed_at":"2026-07-10T06:26:51.279815Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2202.11737","last_updated":"2023-03-12T13:11:22Z","snapshot_observed_at":"2026-08-16T17:19:07.113766Z","submitted_at":"2022-02-23T19:02:01Z","title":"Renormalization Group Flow as Optimal Transport","version":3},"cited_work":{"arxiv_id":"2202.11737","doi":null,"metadata_source":"pith","pith_arxiv_id":"2202.11737","snapshot_observed_at":"2026-07-10T06:26:51.355584Z","title":"Renormalization group flow as optimal transport","venue":"hep-th","work_id":"7e0e70db-2a51-40f2-999f-8cb9e7432c2e","year":2022},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2202.11737","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:0ae700b7060fc3f085a276eeb940a5530674b7fc244962ccba082191c89026dd","observation_id":"e38fca12-f6b3-48d9-b722-52951af91256","resolution":{"observed_at":"2026-07-10T06:26:51.356858Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.01156","last_updated":"2023-09-03T12:25:59Z","snapshot_observed_at":"2026-08-20T04:36:17.048799Z","submitted_at":"2023-09-03T12:25:59Z","title":"Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics","version":1},"cited_work":{"arxiv_id":"2309.01156","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.01156","snapshot_observed_at":"2026-07-10T06:26:51.403495Z","title":"Cranmer, G","venue":"hep-lat","work_id":"20f60bbd-02f6-406a-97fa-5fb9f3ce3b06","year":2023},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2309.01156","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:0750bab8ac7956f419b8fed352b77dd58b830b431c09cee0fc99a10abf14ff6a","observation_id":"876423fc-aa04-4ac3-b56f-9a6bb2e56651","resolution":{"observed_at":"2026-07-10T06:26:51.404773Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.13679","last_updated":"2025-08-28T10:21:55Z","snapshot_observed_at":"2026-08-16T13:16:47.558263Z","submitted_at":"2024-09-20T17:41:43Z","title":"Physics-informed renormalisation group flows","version":3},"cited_work":{"arxiv_id":"2409.13679","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.13679","snapshot_observed_at":"2026-07-10T06:26:51.370619Z","title":"Ihssen and J","venue":"hep-th","work_id":"3607679c-2ea4-4eab-a59b-d4d309c9bafe","year":2024},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2409.13679","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:737314a8c06fe2b8cae3b75fc9484d90e236f7fa3b12528888c817a7e706ecec","observation_id":"c0a6191f-74d3-449f-a71e-024b99105291","resolution":{"observed_at":"2026-07-10T06:26:51.372042Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.00828","last_updated":"2024-11-07T08:29:41Z","snapshot_observed_at":"2026-08-16T14:30:27.525808Z","submitted_at":"2024-01-01T17:56:24Z","title":"Multi-Lattice Sampling of Quantum Field Theories via Neural Operator-based Flows","version":4},"cited_work":{"arxiv_id":"2401.00828","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.00828","snapshot_observed_at":"2026-07-10T06:26:51.388700Z","title":"Multi-Lattice Sampling of Quantum Field Theories via Neural Operator-based Flows","venue":"cs.LG","work_id":"1f1213c8-08bd-4116-a6c9-3230ba817fb1","year":2024},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2401.00828","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:609238ad2db0e52e8e4db3ce857d19bc65f746051fd6fafdc02ca338911757f4","observation_id":"bc2f2fcd-3244-4ba6-bfde-027ea39361df","resolution":{"observed_at":"2026-07-10T06:26:51.390057Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.12842","last_updated":"2024-12-17T12:10:56Z","snapshot_observed_at":"2026-08-21T19:04:26.519194Z","submitted_at":"2024-12-17T12:10:56Z","title":"Super-Resolving Normalising Flows for Lattice Field Theories","version":1},"cited_work":{"arxiv_id":"2412.12842","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.12842","snapshot_observed_at":"2026-07-10T06:26:51.408301Z","title":"Super-Resolving Normalising Flows for Lattice Field Theories","venue":"hep-lat","work_id":"51e85dc3-d647-451b-a298-ba9943ba07bb","year":2024},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2412.12842","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:81994523c45ab4be04b268886e1eddde651cbbcf03f2fd52ae9bc9b4e55ed7ab","observation_id":"c6f57a8e-65d2-490c-9271-48ade57efde2","resolution":{"observed_at":"2026-07-10T06:26:51.409450Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.08918","last_updated":"2025-03-13T14:13:52Z","snapshot_observed_at":"2026-08-16T12:50:56.504369Z","submitted_at":"2025-03-11T22:03:54Z","title":"Multilevel Generative Samplers for Investigating Critical Phenomena","version":2},"cited_work":{"arxiv_id":"2503.08918","doi":"10.48550/arxiv.2503.08918","metadata_source":"pith","pith_arxiv_id":"2503.08918","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Cotler and S","venue":"cs.LG","work_id":"5e38d336-4fa0-467e-af79-c219136becdf","year":2025},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2503.08918","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:4e22da0778b48d433496f8aa7c4be29eee2043c2947d26a8b13afd6fb7303a75","observation_id":"5a0fd002-75fa-4375-9cad-e098cad7c992","resolution":{"observed_at":"2026-07-10T06:26:51.256794Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.09064","last_updated":"2025-01-15T19:00:01Z","snapshot_observed_at":"2026-08-15T01:09:33.074063Z","submitted_at":"2025-01-15T19:00:01Z","title":"Generative diffusion model with inverse renormalization group flows","version":1},"cited_work":{"arxiv_id":"2501.09064","doi":"10.48550/arxiv.2501.09064","metadata_source":"pith","pith_arxiv_id":"2501.09064","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Masuki, Y","venue":"cond-mat.stat-mech","work_id":"a8af3cc2-80c0-4980-a4fc-3401effda9c8","year":2025},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2501.09064","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:738a1bc1770b368d6199a4746120918f168059ae756d87b694996d8b535202ef","observation_id":"9cee3d04-462a-47cf-b1b3-60b9866e5183","resolution":{"observed_at":"2026-07-10T06:26:51.407178Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2510.26678","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T06:26:51.396190Z","title":"Ihssen, R","venue":null,"work_id":"c58646d6-3f15-4910-9d79-94156d3f4be0","year":2025},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:f8bc96e2e13134a7c0cd59d73053232254ceddde61fad9919b7b9c74cd46259e","observation_id":"5d776ceb-1a39-4121-9996-c5f49162c393","resolution":{"observed_at":"2026-07-10T06:26:51.397677Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2603.03159","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T06:26:51.431749Z","title":"title Solving sign problems with physics-informed kernels http://arxiv.org/abs/2603.03159","venue":null,"work_id":"79c25666-3663-4ae1-a505-fa84e0af47e9","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:40983912e046a9f3216348fbd545bec756cbc739a01aa32dfad01c725f7acc0c","observation_id":"f49d698d-02ad-43aa-8aa4-d57d1d461a60","resolution":{"observed_at":"2026-07-10T06:26:51.433902Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.24290","last_updated":"2026-05-06T09:42:21Z","snapshot_observed_at":"2026-08-12T19:32:37.732704Z","submitted_at":"2026-04-27T10:24:10Z","title":"Lattice field theories with a sign problem","version":2},"cited_work":{"arxiv_id":"2604.24290","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.24290","snapshot_observed_at":"2026-07-10T06:26:51.415762Z","title":"Lattice field theories with a sign problem","venue":"hep-lat","work_id":"d2e80457-a84f-4db2-8737-48362d50e158","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2604.24290","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:52c0c8780b531a7604df6b1a9d1f003f873164961c56bbc1c005694466d9efc8","observation_id":"dff6de34-3bf6-4472-aff8-50465326cb17","resolution":{"observed_at":"2026-07-10T06:26:51.417029Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.21151","last_updated":"2026-07-27T12:20:59Z","snapshot_observed_at":"2026-08-16T09:18:36.040117Z","submitted_at":"2026-03-22T10:03:22Z","title":"Solving Functional Renormalization Group Equations with Neural Networks","version":2},"cited_work":{"arxiv_id":"2603.21151","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.21151","snapshot_observed_at":"2026-07-28T03:23:28.081263Z","title":"Tan, W.-j","venue":null,"work_id":"08c24468-c43e-4017-9402-ac13f839adfc","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2603.21151","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:4d1cb53835bd74a86abc46dc07c591e53647c4914a8c74fe69e2d0095a5fbfb2","observation_id":"a1faf1c5-f018-452f-bf78-42f44f7de0ae","resolution":{"observed_at":"2026-07-28T03:23:28.081263Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.05600","last_updated":"2020-10-10T07:46:19Z","snapshot_observed_at":"2026-08-01T16:44:46.833530Z","submitted_at":"2019-07-12T07:37:26Z","title":"Generative Modeling by Estimating Gradients of the Data Distribution","version":3},"cited_work":{"arxiv_id":"1907.05600","doi":"10.48550/arxiv.1907.05600","metadata_source":"pith","pith_arxiv_id":"1907.05600","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Generative Modeling by Estimating Gradients of the Data Distribution","venue":"cs.LG","work_id":"8ad170e5-27c5-474b-aae5-bbbdcf73b90a","year":2019},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/1907.05600","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:806811d7885a526ed2e9d7d413a831825fff7df1e9314c24809ee795655b6112","observation_id":"9010aec7-a7be-4edd-a7fa-f62ab74d95e6","resolution":{"observed_at":"2026-07-10T06:26:51.436773Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-19T16:23:26.520269+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-19T16:23:26.520269+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.11239","last_updated":"2020-12-16T21:15:05Z","snapshot_observed_at":"2026-08-10T05:21:27.485481Z","submitted_at":"2020-06-19T17:24:44Z","title":"Denoising Diffusion Probabilistic Models","version":2},"cited_work":{"arxiv_id":"2006.11239","doi":"10.48550/arxiv.2006.11239","metadata_source":"pith","pith_arxiv_id":"2006.11239","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Denoising Diffusion Probabilistic Models","venue":"cs.LG","work_id":"dc023f4e-7c79-471c-b713-deeb559ba010","year":2020},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2006.11239","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:35c7254db12466ede01e7a6820470a49991d4a3aa29b8198578c50f57b03e98f","observation_id":"a2106d18-6f2f-4140-af2e-d049f4a51cbc","resolution":{"observed_at":"2026-07-10T06:26:51.356636Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-07-13T15:50:06.511104+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-13T15:50:06.511104+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2011.13456","doi":"10.1088/1748-9326/aae98d","metadata_source":"pith","pith_arxiv_id":"2011.13456","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Score-Based Generative Modeling through Stochastic Differential Equations","venue":"cs.LG","work_id":"d9110e53-a5d4-4794-a4c5-a575e91c31ad","year":2020},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2011.13456","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:8dd25c62fa8361fcc643f6827da029821350317f3dbf96a4faabe6deacebd945","observation_id":"16dfd9a5-1a79-4b5b-bc8b-2ed7ecec0642","resolution":{"observed_at":"2026-07-10T06:26:51.317922Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-06-01T22:58:00.812405+00:00","source":"crossref_status_cache"},{"observed_at":"2026-06-01T22:58:00.812405+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.867929Z","title":null,"venue":null,"work_id":"0d21eac9-55f5-4d4c-acdc-3fb3897da021","year":1982},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:91b6f5a2b2a1fd43d7209efa25f0fb8011fa5339dd53a2048f7bdb0ecd14de61","observation_id":"5dc2cdbe-5ada-4dba-8f45-dafed7f43912","resolution":{"observed_at":"2026-07-10T06:26:51.869012Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.869557Z","title":"Parisi and Y.-s","venue":null,"work_id":"f16e6fc1-e918-4b76-9d64-7f17dffd87f3","year":1981},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:d3db14169e5ad1f1a36c9811fe760f4890f81af8a4848a63d275b629c644555e","observation_id":"39be3a62-797a-4c6d-9069-3c9a4e037c2e","resolution":{"observed_at":"2026-07-10T06:26:51.870705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.862490Z","title":null,"venue":null,"work_id":"81dd31c6-3bfc-4a12-a072-132407111023","year":1987},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:2c453cd40d03e23a12542ee931c43b95b2bb33d225972904e58f80d1a7c22ca2","observation_id":"7a3b85e1-0599-4d32-a4c0-e194ec3a42dc","resolution":{"observed_at":"2026-07-10T06:26:51.863765Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.17082","last_updated":"2024-05-09T00:56:24Z","snapshot_observed_at":"2026-08-18T05:16:34.636276Z","submitted_at":"2023-09-29T09:26:59Z","title":"Diffusion Models as Stochastic Quantization in Lattice Field Theory","version":2},"cited_work":{"arxiv_id":"2309.17082","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.17082","snapshot_observed_at":"2026-07-10T06:26:51.418085Z","title":"JHEP 2024(5), 060 (2024) https://doi.org/10.1007/ jhep05(2024)060 arXiv:2309.17082 [hep-lat]","venue":"hep-lat","work_id":"2a88d191-dcf7-421c-bbe2-292179aea693","year":2023},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2309.17082","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:d77d2c2920f92a37fb0784f45404978e3b0b3dfe2dc445cfa011c9606e055831","observation_id":"e5f537f4-6782-4b36-bd8a-89bf03b0b462","resolution":{"observed_at":"2026-07-10T06:26:51.419927Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.03578","last_updated":"2023-11-06T22:24:28Z","snapshot_observed_at":"2026-08-16T14:45:29.180225Z","submitted_at":"2023-11-06T22:24:28Z","title":"Generative Diffusion Models for Lattice Field Theory","version":1},"cited_work":{"arxiv_id":"2311.03578","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.03578","snapshot_observed_at":"2026-07-10T06:26:51.389814Z","title":"Generative Diffusion Models for Lattice Field Theory","venue":"hep-lat","work_id":"2e1989db-bc14-4868-b94c-7b7fa24b5fb9","year":2023},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2311.03578","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:6ca487ceb71776c145d1c51ddade02995916ae32e90b3f7184ab5312c44001cd","observation_id":"1d44afc6-baeb-4d25-b842-9a17b50c126a","resolution":{"observed_at":"2026-07-10T06:26:51.391323Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21212","last_updated":"2025-03-27T09:59:55Z","snapshot_observed_at":"2026-08-16T13:05:18.539762Z","submitted_at":"2024-10-28T16:57:02Z","title":"On learning higher-order cumulants in diffusion models","version":2},"cited_work":{"arxiv_id":"2410.21212","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.21212","snapshot_observed_at":"2026-07-10T06:26:51.423890Z","title":"Aarts, D","venue":"hep-lat","work_id":"597d00b9-19bd-412a-aac7-52175b4586db","year":2024},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2410.21212","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:fc42aa477c1c7b8db8a2bc1cc1a7200c7f2d2ded20e2643fee45844e0be2f30c","observation_id":"111d7534-fa8b-4f39-bb31-efbae3f2e346","resolution":{"observed_at":"2026-07-10T06:26:51.425142Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.11262","last_updated":"2024-03-17T16:24:29Z","snapshot_observed_at":"2026-08-16T14:09:03.063923Z","submitted_at":"2024-03-17T16:24:29Z","title":"Understanding Diffusion Models by Feynman's Path Integral","version":1},"cited_work":{"arxiv_id":"2403.11262","doi":"10.48550/arxiv.2403.11262","metadata_source":"pith","pith_arxiv_id":"2403.11262","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Understanding Diffusion Models by Feynman's Path Integral","venue":"cs.LG","work_id":"c73f102d-031d-442c-aed5-0019cb7ed0a6","year":2024},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2403.11262","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:afbdb121c1d15ed71c461cb2bc6ed1be0e55c127cc9f54dbf796d293bb353265","observation_id":"7f04712a-cca4-47df-8512-916d61df2939","resolution":{"observed_at":"2026-07-10T06:26:51.420114Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.11297","last_updated":"2024-11-18T05:47:41Z","snapshot_observed_at":"2026-08-19T22:56:10.551451Z","submitted_at":"2024-11-18T05:47:41Z","title":"Stochastic quantization and diffusion models","version":1},"cited_work":{"arxiv_id":"2411.11297","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.11297","snapshot_observed_at":"2026-07-10T06:26:51.405240Z","title":"Fukushima, S","venue":"hep-lat","work_id":"fbadbc96-c003-4b6c-ab92-aad9fc47068f","year":2024},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2411.11297","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:ddad10a62fa89f407eddc317bfee794884e3a411ef5d653d92f37e2cdd9f9810","observation_id":"6f7242e3-ca37-4717-b184-e1da01825128","resolution":{"observed_at":"2026-07-10T06:26:51.406807Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2606.13790","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T06:26:51.313923Z","title":null,"venue":null,"work_id":"eea4832c-edf2-47d1-bf7c-1ff7f49e8e7b","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:755dcce27faac39da22df6ce7231c16d0e2c56dfa69e6cdb1100db3780ccc0fa","observation_id":"c74d6358-e33f-4c49-974f-04c184ea2007","resolution":{"observed_at":"2026-07-10T06:26:51.315454Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19602","last_updated":"2024-10-25T14:49:20Z","snapshot_observed_at":"2026-08-18T20:44:17.056665Z","submitted_at":"2024-10-25T14:49:20Z","title":"Diffusion models for lattice gauge field simulations","version":1},"cited_work":{"arxiv_id":"2410.19602","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.19602","snapshot_observed_at":"2026-07-10T06:26:51.397437Z","title":"Diffusion models for lattice gauge field simulations","venue":"hep-lat","work_id":"9452ddcc-4d4b-4d4b-b603-3ac3682fc399","year":2024},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2410.19602","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:4cc926572c0f5d8b54c15336c89162c3c7efd533d878366947c6c3a515f42253","observation_id":"6bc2034c-d760-40a6-adff-2db2dabaa720","resolution":{"observed_at":"2026-07-10T06:26:51.399879Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2502.05504","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T06:26:51.373335Z","title":"Physics-Conditioned Diffusion Models for Lattice Gauge Theory","venue":null,"work_id":"66635604-d7e6-4577-adc8-68bb7b3daa41","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:10f07dd15c34f58bd26396a2b2f7874e6ff9784dce7b27aa5943343f9c6b9339","observation_id":"6e558ac3-04ab-48fc-afc5-566d135a31e2","resolution":{"observed_at":"2026-07-10T06:26:51.378225Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2601.19552","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T06:26:51.323313Z","title":"and Ipp, Andreas and M","venue":null,"work_id":"09aee105-955f-4631-8dec-2b6ac7b8ea51","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:ee33e3a0e01068740ce9478b8686178deb72280651c56d9f53d22f770b7186f9","observation_id":"4548f446-ea1d-4fdb-9705-9add9e374a7c","resolution":{"observed_at":"2026-07-10T06:26:51.324928Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2602.09045","last_updated":"2026-07-27T13:35:17Z","snapshot_observed_at":"2026-08-16T00:49:51.498084Z","submitted_at":"2026-02-04T18:57:51Z","title":"Diffusion Models for SU(2) Lattice Gauge Theory in Two Dimensions","version":3},"cited_work":{"arxiv_id":"2602.09045","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2602.09045","snapshot_observed_at":"2026-07-28T03:23:25.991789Z","title":"and Panteleeva, J","venue":null,"work_id":"d553d928-9b9f-4ab8-a3cc-2102b27a3296","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2602.09045","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:e5a0cd3d3a42e151375bccccc34873af6c9fc49c799edf5f67b1e725baba07b7","observation_id":"0aaceafc-71c3-4ddf-9ecd-54f0f4128962","resolution":{"observed_at":"2026-07-28T03:23:25.991789Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.06134","last_updated":"2026-05-07T12:34:27Z","snapshot_observed_at":"2026-08-14T01:55:28.740605Z","submitted_at":"2026-05-07T12:34:27Z","title":"Diffusion model for SU(N) gauge theories","version":1},"cited_work":{"arxiv_id":"2605.06134","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.06134","snapshot_observed_at":"2026-07-10T06:26:51.400210Z","title":"Diffusion model for SU(N) gauge theories","venue":"hep-lat","work_id":"346907af-e21d-423c-834a-160f1a2fcb72","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2605.06134","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:498eea77a947f48bbb49ec7b8cfae57390a952ec89dba8aea409e8a426ff84a5","observation_id":"88af6b6e-080f-462a-bd94-47ab66dfcd65","resolution":{"observed_at":"2026-07-10T06:26:51.401377Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.01328","last_updated":"2025-10-01T18:00:34Z","snapshot_observed_at":"2026-08-20T02:36:20.510486Z","submitted_at":"2025-10-01T18:00:34Z","title":"Combining complex Langevin dynamics with score-based and energy-based diffusion models","version":1},"cited_work":{"arxiv_id":"2510.01328","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2510.01328","snapshot_observed_at":"2026-07-14T02:20:18.779483Z","title":"Aarts, D","venue":null,"work_id":"ee8041c5-4aa1-4d5b-85c5-65f211e2f8fb","year":2025},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2510.01328","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:b9f6201bcb93d0d12df1208bce52061ded523967e197a51438f8731b13e46a43","observation_id":"e24ba005-74ca-418f-a378-87745da36e7c","resolution":{"observed_at":"2026-07-14T02:20:18.779483Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.05580","last_updated":"2025-01-09T21:14:25Z","snapshot_observed_at":"2026-08-17T00:40:20.089388Z","submitted_at":"2025-01-09T21:14:25Z","title":"Physics-Driven Learning for Inverse Problems in Quantum Chromodynamics","version":1},"cited_work":{"arxiv_id":"2501.05580","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.05580","snapshot_observed_at":"2026-07-10T06:26:51.352817Z","title":"Aarts, K","venue":"hep-lat","work_id":"79d32fe4-023e-49dd-8331-611ae5cfa41b","year":2025},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2501.05580","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:462ed05970d50338bb22b9dead3e0718cc62738e813667a22eb7aeed670f1058","observation_id":"fd6e3c24-0f10-4fdc-b285-52ec71deb915","resolution":{"observed_at":"2026-07-10T06:26:51.354175Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.12597","last_updated":"2026-05-20T15:46:04Z","snapshot_observed_at":"2026-07-06T23:24:18.302402Z","submitted_at":"2026-05-12T18:00:02Z","title":"The critical slowing down in diffusion models","version":2},"cited_work":{"arxiv_id":"2605.12597","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.12597","snapshot_observed_at":"2026-07-10T06:26:51.369973Z","title":"The critical slowing down in diffusion models","venue":"cond-mat.dis-nn","work_id":"d82b1d2b-cc7f-4188-ae31-ff14af63fd81","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2605.12597","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:d0716c02a72d530dec42c57321ff2e4ce3aab1adcb48c58b9ef42747a0088b23","observation_id":"a95fd1ce-fc11-4cef-991c-ba6f76dd46c2","resolution":{"observed_at":"2026-07-10T06:26:51.371577Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2606.06238","last_updated":"2026-06-04T14:43:32Z","snapshot_observed_at":"2026-08-14T23:16:51.562047Z","submitted_at":"2026-06-04T14:43:32Z","title":"Generative Criticality in Large Language Model Temperature Scaling","version":1},"cited_work":{"arxiv_id":"2606.06238","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.06238","snapshot_observed_at":"2026-07-10T06:26:51.429142Z","title":"Generative Criticality in Large Language Model Temperature Scaling","venue":"cs.LG","work_id":"855ed25b-7ad6-43c1-b207-527adaa38d64","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2606.06238","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:b55f2d0677cfdefdb2ef4bad07bb06ca9e84a734c5fe163bb836df5bcfc50189","observation_id":"14e45465-cd50-4ae2-b32e-612a62769ebe","resolution":{"observed_at":"2026-07-10T06:26:51.430539Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.866243Z","title":"Kleinert and V","venue":null,"work_id":"e6cf7211-b96d-4583-9016-b8ce0b5c9092","year":2001},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:441a5f08cdbc1dd40e2ee4f6dc4245f8ef33cd23deaad6104875353497d919aa","observation_id":"445c8271-97b7-46d7-8e7c-423fcc638697","resolution":{"observed_at":"2026-07-10T06:26:51.867350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.09011","last_updated":"2020-10-23T19:37:51Z","snapshot_observed_at":"2026-08-15T21:45:18.426164Z","submitted_at":"2020-06-16T09:17:17Z","title":"Improved Techniques for Training Score-Based Generative Models","version":2},"cited_work":{"arxiv_id":"2006.09011","doi":null,"metadata_source":"pith","pith_arxiv_id":"2006.09011","snapshot_observed_at":"2026-07-10T06:26:51.341581Z","title":"Improved techniques for training Score-Based generative models","venue":"cs.LG","work_id":"5c40fb2a-218b-4d28-a13d-b5302d2f1718","year":2020},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2006.09011","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:986b7945a534939221c67aa507f356558e21413864d3039f57c504f1753f66ff","observation_id":"439243d7-f2bb-4fd6-a388-27ea7d7aaefb","resolution":{"observed_at":"2026-07-10T06:26:51.346208Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.00364","last_updated":"2022-10-11T13:20:30Z","snapshot_observed_at":"2026-07-06T13:16:16.926712Z","submitted_at":"2022-06-01T10:03:24Z","title":"Elucidating the Design Space of Diffusion-Based Generative Models","version":2},"cited_work":{"arxiv_id":"2206.00364","doi":"10.48550/arxiv.2206.00364","metadata_source":"pith","pith_arxiv_id":"2206.00364","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Elucidating the Design Space of Diffusion-Based Generative Models","venue":"cs.CV","work_id":"a80a774d-caed-4e4c-9b69-471be05076e6","year":2022},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2206.00364","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:ea44aee66d00206ee10718fc5bd22f8d0e582b48434d5619928b114856559c81","observation_id":"97206299-d26f-409f-8f40-212dbbc9e9b9","resolution":{"observed_at":"2026-07-10T06:26:51.414530Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-07-12T13:49:30.261846+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T13:49:30.261846+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.00927","last_updated":"2022-10-13T12:04:36Z","snapshot_observed_at":"2026-08-20T12:54:48.114323Z","submitted_at":"2022-06-02T08:43:16Z","title":"DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Steps","version":3},"cited_work":{"arxiv_id":"2206.00927","doi":"10.48550/arxiv.2206.00927","metadata_source":"pith","pith_arxiv_id":"2206.00927","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Dpm-solver: A fast ode solver for diﬀusion probabilistic model sampling in around 10 step s","venue":"cs.LG","work_id":"5a71e28c-3c07-4f30-bfe2-17ea2361df24","year":2022},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2206.00927","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:0586dc57baf41e7601103b90ae9ac1ecd4cf8ff689e93933e6b7d5088dd35ea4","observation_id":"7c682530-0f9b-4e1a-9852-7b07c8431eb8","resolution":{"observed_at":"2026-07-10T06:26:51.365777Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.860125Z","title":"Vincent, A connection between score matching and denoising autoencoders, Neural Computation23, 1661 (2011)","venue":null,"work_id":"c7ee781d-c577-46a4-8bb8-bfea29d9ff06","year":2011},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:81ef8cb1970abda681f60f653601da250a8ca69bd33666dff6cd551ae6026cf6","observation_id":"a68d9bac-3788-47e5-92fa-dc1977499ac3","resolution":{"observed_at":"2026-07-10T06:26:51.861690Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.09654","last_updated":"2026-05-10T16:57:51Z","snapshot_observed_at":"2026-08-13T04:29:33.276740Z","submitted_at":"2026-05-10T16:57:51Z","title":"Metropolis-Adjusted Diffusion Models","version":1},"cited_work":{"arxiv_id":"2605.09654","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.09654","snapshot_observed_at":"2026-07-10T06:26:51.378859Z","title":"Metropolis-Adjusted Diffusion Models","venue":"stat.ML","work_id":"23891d5c-cbde-4d8a-b7e8-527238724f7c","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2605.09654","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:01dd8ce7d8f99f8a0388570a0c5b710f25ab820f18bf21ccdb3894b559cc6c01","observation_id":"53994cb0-0cc0-4d8d-840c-9c39e3a43e07","resolution":{"observed_at":"2026-07-10T06:26:51.380120Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.846793Z","title":null,"venue":null,"work_id":"2c62770e-5be1-484d-9d55-67c2e09e51c1","year":1998},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:fb5256688f1dece34e1686879d86fd73659d9113e41b4b7c0173cd3f7525c32c","observation_id":"a94007a9-1123-44ef-8987-1d6eb65357f0","resolution":{"observed_at":"2026-07-10T06:26:51.851864Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.07541","last_updated":"2022-11-14T17:07:37Z","snapshot_observed_at":"2026-08-20T07:56:36.049409Z","submitted_at":"2022-11-14T17:07:37Z","title":"Aspects of scaling and scalability for flow-based sampling of lattice QCD","version":1},"cited_work":{"arxiv_id":"2211.07541","doi":null,"metadata_source":"pith","pith_arxiv_id":"2211.07541","snapshot_observed_at":"2026-07-10T06:26:51.386041Z","title":"Abbott et al.,Aspects of scaling and scalability for flow-based sampling of lattice QCD, Eur","venue":"hep-lat","work_id":"340d6705-f6af-41f3-9a75-15172cbab830","year":2022},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2211.07541","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:79c35bd4e1046a04b74989f8755b9735d4802dbcb1b66874cb0e46c94ad172f3","observation_id":"a76831f1-2431-4360-95e9-a37836cdb838","resolution":{"observed_at":"2026-07-10T06:26:51.387263Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.02696","last_updated":"2024-03-20T12:58:14Z","snapshot_observed_at":"2026-08-17T05:24:26.663546Z","submitted_at":"2023-12-05T11:55:47Z","title":"Analyzing and Improving the Training Dynamics of Diffusion Models","version":2},"cited_work":{"arxiv_id":"2312.02696","doi":"10.48550/arxiv.2312.02696","metadata_source":"pith","pith_arxiv_id":"2312.02696","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Analyzing and improving the training dynamics of diffusion models","venue":"cs.CV","work_id":"b4377a41-80c7-4851-9dc6-d16c87170097","year":2023},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2312.02696","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:7e72df7b4eac612b26b802b0522e5879e41a62ea52478c99f79ce4fb34a7123d","observation_id":"4c8462dd-9d45-408f-a0c2-e6626d142a6b","resolution":{"observed_at":"2026-07-10T06:26:51.392355Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-24T01:23:45.246764+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-24T01:23:45.246764+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-lat/0609058","last_updated":"2006-09-27T15:18:32Z","snapshot_observed_at":"2026-08-15T11:02:09.447922Z","submitted_at":"2006-09-27T15:18:32Z","title":"Lattice simulations of real-time quantum fields","version":1},"cited_work":{"arxiv_id":"hep-lat/0609058","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-lat/0609058","snapshot_observed_at":"2026-07-10T06:26:51.268338Z","title":"Berges, S","venue":"hep-lat","work_id":"3da40ff3-83d3-44b6-a24e-1dbbc20d7775","year":2006},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/hep-lat/0609058","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:3eec8d3dea0123d8d714b16294d5fbd4cacd6675b272c982efc01496ea8a0ae2","observation_id":"e302b9ff-1b8f-4217-aeee-6a8251aae0ab","resolution":{"observed_at":"2026-07-10T06:26:51.269817Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.06482","last_updated":"2021-10-19T13:49:34Z","snapshot_observed_at":"2026-08-16T18:10:11.750038Z","submitted_at":"2021-07-14T04:46:05Z","title":"Real-time dynamics of the $O(4)$ scalar theory within the fRG approach","version":3},"cited_work":{"arxiv_id":"2107.06482","doi":null,"metadata_source":"pith","pith_arxiv_id":"2107.06482","snapshot_observed_at":"2026-07-10T06:26:51.402504Z","title":"Real-time dynamics of the $O(4)$ scalar theory within the fRG approach","venue":"hep-ph","work_id":"07a4e802-af5a-46c4-a307-81bdf4ac480f","year":2021},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2107.06482","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:c43f18ffa11cc82b1284784f181c5c660730cba039d66a0c4635904428406630","observation_id":"17ceee9a-ef8b-4bad-a6aa-3fd897072b03","resolution":{"observed_at":"2026-07-10T06:26:51.403768Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.03503","last_updated":"2025-03-23T05:49:10Z","snapshot_observed_at":"2026-08-16T14:12:24.996277Z","submitted_at":"2024-03-06T07:19:36Z","title":"Universality of pseudo-Goldstone damping near critical points","version":3},"cited_work":{"arxiv_id":"2403.03503","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.03503","snapshot_observed_at":"2026-07-10T06:26:51.401055Z","title":"Tan, Y.-r","venue":"hep-th","work_id":"17332dfa-1091-4896-81f0-76721cfeb6e3","year":2024},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2403.03503","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:839b7fa19f882aea09bce7582a092ed8ed6003f18c46235c4d6ae9c1114c967d","observation_id":"1cffb7a8-6ee9-404c-9055-8c841a97511b","resolution":{"observed_at":"2026-07-10T06:26:51.402414Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2512.03614","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T06:26:51.384522Z","title":null,"venue":null,"work_id":"ac07b977-3770-4c8c-991e-487cfe5c366c","year":2025},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:6bd750c37900e25c129faa68e4e866b55e78268c8b7b8f01a8156c581a26faaf","observation_id":"4f87449a-5446-4b96-b87c-109c096577f4","resolution":{"observed_at":"2026-07-10T06:26:51.385935Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.08945","last_updated":"2022-10-16T19:39:17Z","snapshot_observed_at":"2026-08-20T11:40:03.433414Z","submitted_at":"2022-07-18T21:13:34Z","title":"Gauge-equivariant flow models for sampling in lattice field theories with pseudofermions","version":3},"cited_work":{"arxiv_id":"2207.08945","doi":null,"metadata_source":"pith","pith_arxiv_id":"2207.08945","snapshot_observed_at":"2026-07-10T06:26:51.395015Z","title":"Abbottet al., Gauge-equivariant flow models for sam- pling in lattice field theories with pseudofermions, Phys","venue":"hep-lat","work_id":"fa752620-1821-45a1-b58a-d816d86ff5f7","year":2022},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2207.08945","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:451113d4ced5845049ed75ee3cf8e8c1dbd4d33efea95180fe0d63d3ab7696b2","observation_id":"3542709c-0dff-49a4-a8b6-ad4062d2be02","resolution":{"observed_at":"2026-07-10T06:26:51.396249Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.852503Z","title":null,"venue":null,"work_id":"24bc6191-c5ac-431f-994d-fdfbe7d7c554","year":2026},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:6267a5136c3acf5edb087a306d7b2bc4efafc582d58772e14f7fa27a6ec074d1","observation_id":"f08b619f-342a-4d2a-b9fd-03796424696b","resolution":{"observed_at":"2026-07-10T06:26:51.853605Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-10T06:26:51.854364Z","title":null,"venue":null,"work_id":"c3b596f6-4135-4d61-acd5-6797c6c87d94","year":1989},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:c47664988251d86fc1ca1d453db9b6c743a6c77f8574b8f119ed5a742478be89","observation_id":"f3e8f254-384b-4525-9af9-78ad042a9452","resolution":{"observed_at":"2026-07-10T06:26:51.855631Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.08176","last_updated":"2021-08-06T14:14:21Z","snapshot_observed_at":"2026-08-16T18:51:08.345267Z","submitted_at":"2021-01-20T15:16:28Z","title":"Introduction to Normalizing Flows for Lattice Field Theory","version":3},"cited_work":{"arxiv_id":"2101.08176","doi":"10.48550/arxiv.2101.08176","metadata_source":"pith","pith_arxiv_id":"2101.08176","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Albergo, D","venue":"hep-lat","work_id":"0cf2c579-dd25-4e39-a8e6-8af9bcd91560","year":2021},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2101.08176","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:493def7d7b621e095a33b6d8c03b672252b9517f73306e2af9deb80b4d221625","observation_id":"1df5b7b5-8081-4527-a3cc-26632cbd9a46","resolution":{"observed_at":"2026-07-10T06:26:51.414740Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.00283","last_updated":"2023-12-20T14:15:49Z","snapshot_observed_at":"2026-08-21T21:10:30.176388Z","submitted_at":"2022-07-01T09:20:05Z","title":"Learning Lattice Quantum Field Theories with Equivariant Continuous Flows","version":3},"cited_work":{"arxiv_id":"2207.00283","doi":null,"metadata_source":"pith","pith_arxiv_id":"2207.00283","snapshot_observed_at":"2026-07-10T06:26:51.281772Z","title":"Learning lattice quantum field theories with equivariant continu- ous flows","venue":"hep-lat","work_id":"2ef6b7a4-be01-4540-9145-0c5433c3c8b5","year":2022},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2207.00283","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:e9deb089b6e2da5bd64bb8df3c12cf3e6df5342eb818fb3ae250715b68a7576b","observation_id":"1ce8280e-6e6e-4c89-92cf-7fe5dda8548d","resolution":{"observed_at":"2026-07-10T06:26:51.283712Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.01297","last_updated":"2024-01-24T12:34:19Z","snapshot_observed_at":"2026-08-16T14:30:16.876407Z","submitted_at":"2024-01-02T17:19:55Z","title":"Flow-based sampling for lattice field theories","version":2},"cited_work":{"arxiv_id":"2401.01297","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.01297","snapshot_observed_at":"2026-07-10T06:26:51.316653Z","title":"Kanwar, Flow-based sampling for lattice field theories, in40th International Symposium on Lattice Field Theory (2024) arXiv:2401.01297 [hep-lat]","venue":"hep-lat","work_id":"78c4a358-3e51-481c-a17e-cc30610dcbca","year":2024},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2401.01297","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:5bc2c9e6a08044cda01a10ff167f57d7dfe0de15eb409fa47f7076750da59262","observation_id":"5997a0f8-9452-44d9-b717-d81c6b19aa6f","resolution":{"observed_at":"2026-07-10T06:26:51.318088Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.07115","last_updated":"2021-01-05T09:42:26Z","snapshot_observed_at":"2026-08-13T00:48:26.293051Z","submitted_at":"2020-07-14T15:31:05Z","title":"Estimation of Thermodynamic Observables in Lattice Field Theories with Deep Generative Models","version":2},"cited_work":{"arxiv_id":"2007.07115","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.07115","snapshot_observed_at":"2026-07-10T06:26:51.301625Z","title":"Nicoli, C.J","venue":"hep-lat","work_id":"8c000d16-1f0e-4e7e-a932-e0ed90d9700e","year":2020},"citing_paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-07-10T06:20:49.175000Z"},"links":{"cited_paper":"/paper/2007.07115","citing_paper":"/paper/2607.08505"},"observation_digest":"sha256:cab19e8f96cb227ff885e5dd448357e1f343e1e542dfd29f704384e64d8ec8db","observation_id":"5dfbb05f-d559-4607-9f2f-a890534ab6ff","resolution":{"observed_at":"2026-07-10T06:26:51.303452Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.08505","last_updated":"2026-07-09T14:00:29Z","latest_version":1,"primary_category":"hep-lat","snapshot_observed_at":"2026-08-20T08:53:39.811024Z","submitted_at":"2026-07-09T14:00:29Z","title":"Diffusion Models for Sampling Near Criticality in Lattice Field Theories"},"reference_resolution":{"displayed":77,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":54,"verified_fuzzy":15},"total_outbound_references":77},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 77 of 77 outbound references and 1 inbound Pith citation observation for arXiv:2607.08505."}