{"as_of":"2026-08-07T15:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9fa31e40dbb60af55c151adf8ec15a45302ec8238e5783c0b036f54f064b31de","coverage":[{"denominator":64,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":64,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:21:09.244231Z","state":"measured"},{"denominator":64,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":64,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.19438/citation-record","integrity":"/paper/2505.19438/integrity","json":"/paper/2505.19438/citation-record.json","paper":"/paper/2505.19438"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:04.335973Z","title":"E., Montanari, A., and Sellke, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:04.335973Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:086544693291709a203d2aee4248b21507281857bd02447c9af4693d19231142","observation_id":"cbb1e269-c38e-4ae5-95f6-374a5ea33640","resolution":{"observed_at":"2026-08-07T14:21:04.335973Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.06171","last_updated":"2024-11-12T20:33:52Z","snapshot_observed_at":"2026-07-06T16:45:47.395736Z","submitted_at":"2023-11-10T16:40:38Z","title":"Fast relaxation of the random field Ising dynamics","version":2},"cited_work":{"arxiv_id":"2311.06171","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.06171","snapshot_observed_at":"2026-08-07T14:21:09.699958Z","title":"Fast relaxation of the random field Ising dynamics","venue":"math.PR","work_id":"7ea14f5f-a3d8-4bb6-967c-2199578afc5b","year":2023},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:04.370322Z"},"links":{"cited_paper":"/paper/2311.06171","citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:9584182f2ca405386060e7cc3037490997df1b759a06df89e133431158a98c11","observation_id":"bdb82c4c-1179-48d9-88e2-e63fbeda2481","resolution":{"observed_at":"2026-08-07T14:21:09.743923Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:15.912602Z","title":"Trickle-down in localization schemes and applications","venue":null,"work_id":"41b112c6-fb0f-4170-af38-49358affb1aa","year":2024},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:04.479253Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:f2dc2a1a54072cedc2595d0f781e87dcc7bbccef212db670e0ec063929f0bf45","observation_id":"56e1b017-51fd-4bf3-baf3-b46d41018972","resolution":{"observed_at":"2026-08-07T14:21:15.934135Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:15.837935Z","title":"and Bodineau, T","venue":null,"work_id":"84591548-b4ad-4856-aaf6-6c77a5e515b7","year":2019},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:04.558376Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:e61928509101723ad592e45afe5044521166b4a4d015af26f251d194c808ce45","observation_id":"28b96924-0f5b-4377-91dd-894ba643b437","resolution":{"observed_at":"2026-08-07T14:21:15.894183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:15.722606Z","title":"and Dagallier, B","venue":null,"work_id":"ee647a07-b9bc-425c-88a0-0ecae245baec","year":2024},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:04.653765Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:58cd9a6a77ac3d6c6096bd30f380d7e658c05cb23aefb9482618bff273036b1c","observation_id":"2af5da66-d3c4-4477-a361-c39cc19953dd","resolution":{"observed_at":"2026-08-07T14:21:15.758904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:15.597055Z","title":"Lectures on glauber dynamics for discrete spin models","venue":null,"work_id":"30dc9543-765f-428a-9169-6514a68ba47e","year":1997},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:04.690980Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:a400ef8d94e82158d1b0b0f9389fed5f9755d8dcb9c146b067d56ccfee119f2e","observation_id":"132fd247-fa84-4883-a20f-b0a6d4cbbaed","resolution":{"observed_at":"2026-08-07T14:21:15.679641Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.03008","last_updated":"2024-05-29T10:20:04Z","snapshot_observed_at":"2026-07-06T17:25:26.813696Z","submitted_at":"2024-02-05T13:47:41Z","title":"Diffusive Gibbs Sampling","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.03008","snapshot_observed_at":"2026-08-07T14:21:04.777651Z","title":"M., and Barber, D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:04.777651Z"},"links":{"cited_paper":"/paper/2402.03008","citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:a07ed54cb8378ecc1923fc885d1a612879fa58adc3c0b194d0cc3705c1edf44f","observation_id":"63d3d1fb-dd4c-4754-977a-121801dda7d9","resolution":{"observed_at":"2026-08-07T14:21:04.777651Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:15.495760Z","title":"An almost constant lower bound of the isoperimetric coefficient in the kls conjecture","venue":null,"work_id":"7eedd555-a3fb-42b2-b4ca-a5a168819f63","year":2021},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:04.871769Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:7d835ac7b4ddd29cdca5ae21651bc1ae238e067bd214806d2f4416f11d709c09","observation_id":"e46937e2-b619-45c2-a93e-219f77b8b962","resolution":{"observed_at":"2026-08-07T14:21:15.533500Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:15.361105Z","title":"and Eldan, R","venue":null,"work_id":"be24bbb1-fcd3-409c-b2ac-6fda8bdeed72","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:04.943261Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:15d05547a09c237249f8040ae243584d5bf264e378b738141302cfb6be464129","observation_id":"447cc78a-f272-4f2b-9a3e-3a1f6936e2f2","resolution":{"observed_at":"2026-08-07T14:21:15.411751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:15.341848Z","title":"Learning discrete energy-based models via auxiliary-variable local exploration","venue":null,"work_id":"b5fe3ade-e710-4f3c-9233-a9a27bc887ad","year":2020},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:05.050931Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:8063f487c031a172547cbf6be45b32b0478d7b637a29aed86a187b0800e7d9d7","observation_id":"a3031799-66b3-40a4-a989-22c68aac698d","resolution":{"observed_at":"2026-08-07T14:21:15.348731Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:15.217264Z","title":"The description of a random field by means of conditional probabilities and conditions of its regularity","venue":null,"work_id":"676c6702-2260-4224-806e-ab4395421b8c","year":1968},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:05.175544Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:e019bb3e7dfd766957ceab0a72c8a577e9a961947f0360b4770e9a8e0d8379cc","observation_id":"28a5ff86-b509-4570-8ab8-0b33122fbacf","resolution":{"observed_at":"2026-08-07T14:21:15.289380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:15.127474Z","title":null,"venue":null,"work_id":"ff6cc537-4231-4e3e-b3d9-29f64d98a63a","year":1970},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:05.248768Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:c193d47dfad7d5e7528a164cc59f8009fab97f4ac6e7ea8cc08668c105a24a61","observation_id":"8dcaeb5d-d20f-4c17-8593-76fa42aeee6d","resolution":{"observed_at":"2026-08-07T14:21:15.162837Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.992639Z","title":null,"venue":null,"work_id":"adda3c0c-9c1b-422c-a51a-bcc45360ae19","year":2009},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:05.362496Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:a1c24b26fa63e77cd4589b1946f3d2ca58e596dc328ca2366c3e269fad6a8ce2","observation_id":"401917d1-ada2-43e8-bdc6-046bd0187dd5","resolution":{"observed_at":"2026-08-07T14:21:15.042227Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.922382Z","title":"J., and Yu, B","venue":null,"work_id":"108922df-51a8-462d-b854-993b05e4ec49","year":2019},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:05.428616Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:2ffe96a86915a8e159bbf803ff73c62d5f3a1fafa2cf5cbb94d52b4a68092398","observation_id":"83220994-51f6-40bb-83b5-73944f38af16","resolution":{"observed_at":"2026-08-07T14:21:14.948856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.795616Z","title":"and Montanari, A","venue":null,"work_id":"b62a0893-645f-471b-a3fa-acdc2c737562","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:05.518705Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:c29be4dd96de244e616e29df6d81916dcbd37cb9ce6d03f21db841180bbea558","observation_id":"293020c2-5d5e-4ae5-9313-a4918d231521","resolution":{"observed_at":"2026-08-07T14:21:14.847926Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.713043Z","title":"Sampling from the sherrington-kirkpatrick gibbs measure via algorithmic stochastic localization","venue":null,"work_id":"b8805278-f6a3-4fbc-b7f7-9a82dc0b144e","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:05.609859Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:c85f55025cde5f9ba7be427468ffd710fa511752d452ea252577625dd2fea0dc","observation_id":"3f525029-412f-4fde-9a9f-4058ca414a92","resolution":{"observed_at":"2026-08-07T14:21:14.773884Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.622939Z","title":"Thin shell implies spectral gap up to polylog via a stochastic localization scheme","venue":null,"work_id":"85c4fab2-2de5-4e5d-a80c-722b4a87af5d","year":2013},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:05.687597Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:f7ba383eb25ca111c6b532b39c2aaee9a4458cce57112e59e367cb8a34fb58d0","observation_id":"a2488d49-881e-4234-880a-9ada4ccf841e","resolution":{"observed_at":"2026-08-07T14:21:14.659477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.562159Z","title":"Taming correlations through entropy-efficient measure decompositions with applications to mean-field approximation","venue":null,"work_id":"f557f436-9a66-4928-b6bb-99fcbca49377","year":2020},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:05.770043Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:58e8da48a8eade2fc20eb51536671dc57bac13c9292caabd563620d5ea98216c","observation_id":"f631158a-46b0-4c99-ac9f-37b2a2163185","resolution":{"observed_at":"2026-08-07T14:21:14.587337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.453579Z","title":"and Shamir, O","venue":null,"work_id":"72f423c5-7f8f-42e5-b45d-9e701bbb8518","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:05.914133Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:8adad1c81bb26ac0929a1c76aaefb88e94e7f664d4e8e92b9aaa6352a822c2d5","observation_id":"bc37969e-21ce-4cd7-a3b0-30de566dfe51","resolution":{"observed_at":"2026-08-07T14:21:14.499058Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.351835Z","title":"A spectral condition for spectral gap: fast mixing in high-temperature ising models","venue":null,"work_id":"270e0993-d4a5-4c10-93f8-63655f9dbdc0","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.016785Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:82d17206411f552a4f9cf52f64e08ce2d37260f65d29665bf5375ed3cd22170a","observation_id":"a10a956c-0127-4d94-a0b3-03420dd770d4","resolution":{"observed_at":"2026-08-07T14:21:14.395045Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.245941Z","title":"A chernoff bound for random walks on expander graphs","venue":null,"work_id":"90bfb8c3-b96c-4dc6-86f8-45f494fbd41c","year":1998},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.093772Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:8914b5aac2f568643656d91769e7c235ae3bc137fea17a7e42df3adf3d7fdd10","observation_id":"36d3c5bb-389c-4e90-941b-5b6978e541b2","resolution":{"observed_at":"2026-08-07T14:21:14.272133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.148793Z","title":"Quantum bridge analytics i: a tutorial on formulating and using qubo models","venue":null,"work_id":"210bbd4d-2a37-4047-a22c-907b0bd938d6","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.168471Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:872cd398a6522fbffb6bc9fff756bd45a5e01ee653bad88e1ac5521186f309fc","observation_id":"01c6792c-5751-4278-9183-26540c746603","resolution":{"observed_at":"2026-08-07T14:21:14.215748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:14.053972Z","title":"Quantum bridge analytics ii: Qubo-plus, network optimization and combinatorial chaining for asset exchange","venue":null,"work_id":"cd9d3d01-a26c-4a56-a51c-165dc44b38a2","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.250636Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:67500ef5b6726c34cf1a29638815c96722ac2e7eed1dd0d41b6704be60860d82","observation_id":"5d0ce4f4-11c3-4b18-8eaa-22ce7a8a5f7f","resolution":{"observed_at":"2026-08-07T14:21:14.089300Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.928418Z","title":"Discs: a benchmark for discrete sampling","venue":null,"work_id":"a0e9e8d0-956c-4122-a042-7824a5473eed","year":2024},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.334108Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:7698b9d61b8d0fe4047cbc4b710c549f778485ad14e7d5246939281076523bd0","observation_id":"38d1a7f1-7a80-4ace-972d-d41b4585a226","resolution":{"observed_at":"2026-08-07T14:21:14.009361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.853575Z","title":"Oops i took a gradient: Scalable sampling for discrete distributions","venue":null,"work_id":"5beec5f3-7224-4f56-8c2c-05592442d71e","year":2021},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.408816Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:f49675c493efd9e5c1b45a6a1849a2023a665a6ae43a38acc868f210e58616b4","observation_id":"d8cda5eb-3721-4938-91f5-848ba1aba54a","resolution":{"observed_at":"2026-08-07T14:21:13.874759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.755584Z","title":null,"venue":null,"work_id":"c602412d-c371-4ca7-9f47-05f42bb00fb7","year":2024},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.529414Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:2e655b9d7fd635c50beab583474b0078d8832a507f7794b61f46cbfaccf1c964","observation_id":"25130e1e-2346-4ce0-b1e8-41bc6cc6cfc4","resolution":{"observed_at":"2026-08-07T14:21:13.793875Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:06.602338Z","title":"Denoising diffusion probabilistic models","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.602338Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:56637a41373f2033517882964801cc977e75bb55b17ab21a0fd21c813a6dfc9e","observation_id":"5101f53e-82f2-48f6-980c-6162f8429ba6","resolution":{"observed_at":"2026-08-07T14:21:06.602338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.15651","last_updated":"2024-04-24T05:12:02Z","snapshot_observed_at":"2026-08-07T12:56:06.359272Z","submitted_at":"2024-04-24T05:12:02Z","title":"Sampling from Spherical Spin Glasses in Total Variation via Algorithmic Stochastic Localization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.15651","snapshot_observed_at":"2026-08-07T14:21:06.668482Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.668482Z"},"links":{"cited_paper":"/paper/2404.15651","citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:070d0f4353ec38d4e1cb4a5e9bf60de2f55066a8a9cbe6968a1933c5aec92548","observation_id":"ac09991a-d2c6-46b2-9458-eb7a00148fb1","resolution":{"observed_at":"2026-08-07T14:21:06.668482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.656026Z","title":"Reverse diffusion monte carlo","venue":null,"work_id":"ca781c2a-c263-4ce5-8d02-cc6b79e3a337","year":2023},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.732739Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:a7d716bd3e7ef6b15f352a29e72bfcf02624c0d63720975fb783b6157d87a5cc","observation_id":"befe4e79-548f-45ee-83ca-0f04abcb6360","resolution":{"observed_at":"2026-08-07T14:21:13.722140Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.565761Z","title":"Calculation of partition functions","venue":null,"work_id":"c8963a1b-de26-4485-85c4-8c7870394635","year":1959},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.821404Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:0754f6f6e69e024f3c09b576de1a2b854b07af146b3361b20756dc07140fbfdf","observation_id":"2eef11a9-f549-443c-aee6-521d3f3bab51","resolution":{"observed_at":"2026-08-07T14:21:13.601279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.439536Z","title":"The one-dimensional long-range ferromagnetic ising model with a periodic external field","venue":null,"work_id":"76d892df-85a4-4fef-b33f-1dda1a9f902b","year":2012},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:06.951871Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:01ed502d99dd006d4e20382bcbb9afd2098fffcfd28770a9d413905935619747","observation_id":"c8ec74df-25a7-4b72-be77-19188ffb7383","resolution":{"observed_at":"2026-08-07T14:21:13.489339Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.368374Z","title":"D., and Vecchi, M","venue":null,"work_id":"d8a00a8b-ce75-4f96-9602-6f4940031307","year":1983},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.058835Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:6adc38c98a5a99c33ba4ccf498a6630ae82222880c3abca6135fd3c15097b842","observation_id":"9aaba73e-7c4c-433b-bfa9-81c66fdcae71","resolution":{"observed_at":"2026-08-07T14:21:13.396755Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.245395Z","title":"Sampling approximately low-rank ising models: Mcmc meets variational methods","venue":null,"work_id":"a4415149-bd51-408d-b658-5c3227e3077b","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.123243Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:2a5261c46a07a0d2e3212cb46945202885957dc69592fc3607fef2303de71bb9","observation_id":"d297c631-159a-4e8e-973d-9cd0b930be23","resolution":{"observed_at":"2026-08-07T14:21:13.287033Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:07.214858Z","title":"Crafting papers on machine learning","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.214858Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:d284789e4118829147d35ff39c0e395a43fa3af35ef8a438aaf4b824b543af50","observation_id":"e4fbcc01-78f3-497a-855d-1d81dd25ae84","resolution":{"observed_at":"2026-08-07T14:21:07.214858Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.210485Z","title":null,"venue":null,"work_id":"5d28dc75-ee8d-41e9-b692-8fbf056ea280","year":2017},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.301609Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:b72c482808fa50e949459fed4c7a0070446988acae081025eb3732c9541fcdc3","observation_id":"a563bedd-bc05-4085-b02f-78498cd60993","resolution":{"observed_at":"2026-08-07T14:21:13.220923Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.130619Z","title":"Chernoff-type bound for finite markov chains","venue":null,"work_id":"3cbd7f5b-1398-4824-8d9c-af3486c3b649","year":1998},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.355475Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:8005f9e7b6b8de7a8446bd316daacf0fcf451c12020b7e5106f4b9d0d4ab60ee","observation_id":"2d457fca-abad-47ce-a5fe-5f946ec4ebaa","resolution":{"observed_at":"2026-08-07T14:21:13.185003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:13.018732Z","title":null,"venue":null,"work_id":"abb323b0-1da3-4cfd-8dd6-2431a40af194","year":2013},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.444894Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:2efee33e447631cce33a6b006477cf7a53ccbcc2a84cf659ff329f449bf8444f","observation_id":"d787f992-83c7-46b2-bd50-2446de5b35cb","resolution":{"observed_at":"2026-08-07T14:21:13.078477Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:12.911775Z","title":"Ising formulations of many np problems","venue":null,"work_id":"2e367743-9673-4c4c-a034-66b9bd0141a3","year":2014},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.549692Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:83c83b092fb61e91c4edc5f06c4b3e83f6a3dae70fcb32e0f5c186c87a1d4398","observation_id":"cfe76e32-d801-4814-a8d8-ca763706a61d","resolution":{"observed_at":"2026-08-07T14:21:12.940127Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:12.784533Z","title":"Lectures on glauber dynamics for discrete spin models","venue":null,"work_id":"00a4595c-0f3b-4d95-a746-2b4a829061bc","year":1997},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.649428Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:6babb61728e4a1f750f4b19d51d572f92e72d7d7de030d008c6e2b552651a98d","observation_id":"4c058efd-e747-410c-a7eb-eab11b38dd4e","resolution":{"observed_at":"2026-08-07T14:21:12.859019Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:12.706952Z","title":"and Olivieri, E","venue":null,"work_id":"1bee59cb-844a-4f46-bf27-d0b4ffbddc97","year":1994},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.717582Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:194f66df8a0dc9f5f0dfcc5a14d0a49ad995618520d4d1318b80f79b3d86e7ba","observation_id":"97b442ec-f44e-4bd5-be0e-f9adeda2adb8","resolution":{"observed_at":"2026-08-07T14:21:12.732187Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:12.600250Z","title":null,"venue":null,"work_id":"f742df5f-f331-4e63-84e7-f2f55bb3c86f","year":1994},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.795995Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:163549ad2ae89a54600ec47baa094bbcfd53a0726ccb2217650ea301ec689fb8","observation_id":"098c1b08-ec76-4b84-a94a-f4cacee53686","resolution":{"observed_at":"2026-08-07T14:21:12.611787Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:07.915652Z","title":"W., Rosenbluth, M","venue":null,"work_id":null,"year":1953},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.915652Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:d9605b501173f8d8bdf50741664b7eac3a25fd6dcefc368f8f667401d487b443","observation_id":"00e1314b-e422-40b0-9900-a73836a0ea00","resolution":{"observed_at":"2026-08-07T14:21:07.915652Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.10690","last_updated":"2025-09-02T12:50:49Z","snapshot_observed_at":"2026-08-06T23:49:23.265091Z","submitted_at":"2023-05-18T04:01:40Z","title":"Sampling, Diffusions, and Stochastic Localization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.10690","snapshot_observed_at":"2026-08-07T14:21:07.980856Z","title":"Sampling, diffusions, and stochastic localization","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:07.980856Z"},"links":{"cited_paper":"/paper/2305.10690","citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:a653fc375742bb5b860409dca14704f266bd373eb9676239951f9703e930b457","observation_id":"a53eab97-db76-48f6-85b0-b1a946ff02e4","resolution":{"observed_at":"2026-08-07T14:21:07.980856Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.11449","last_updated":"2024-08-23T14:50:29Z","snapshot_observed_at":"2026-08-07T05:45:15.982114Z","submitted_at":"2023-04-22T17:10:28Z","title":"Posterior Sampling in High Dimension via Diffusion Processes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.11449","snapshot_observed_at":"2026-08-07T14:21:08.032806Z","title":"and Wu, Y","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.032806Z"},"links":{"cited_paper":"/paper/2304.11449","citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:8ef24efe5993d8c4856e590a6b4b0aaff42133d5b967c8bdf358656ad45af003","observation_id":"cced153e-83ff-44fb-9845-548b4f9948d0","resolution":{"observed_at":"2026-08-07T14:21:08.032806Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:12.331308Z","title":"Statistical physics of spin glasses and information processing: an introduction","venue":null,"work_id":"d6d1febd-405d-4ccb-9811-137a7acd3305","year":2001},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.102833Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:922bb16c2f26ffdfb7488cf3ae5639ea3b8121a2e043984728f0ba3da9f398f5","observation_id":"87c0ae57-0cae-4264-8128-107c2ccae216","resolution":{"observed_at":"2026-08-07T14:21:12.443717Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.00040","last_updated":"2022-07-29T18:48:49Z","snapshot_observed_at":"2026-07-06T13:36:51.591221Z","submitted_at":"2022-07-29T18:48:49Z","title":"Enhanced gradient-based MCMC in discrete spaces","version":1},"cited_work":{"arxiv_id":"2208.00040","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.00040","snapshot_observed_at":"2026-08-07T14:21:09.456507Z","title":"Enhanced gradient-based MCMC in discrete spaces","venue":"stat.ML","work_id":"27ceeaf4-74b6-47bf-9d57-b2a4413ea75a","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.169073Z"},"links":{"cited_paper":"/paper/2208.00040","citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:487d142699db1512f9945d40139951083f9d89860fdd6a16813f63ff55c24843","observation_id":"9d4336f1-d2b2-48b8-8c3c-fdd818a44f95","resolution":{"observed_at":"2026-08-07T14:21:09.504118Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:12.167320Z","title":null,"venue":null,"work_id":"ee4e575a-ca25-46c9-b054-fcd2dc0323cd","year":1996},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.230105Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:f8283362f206aff2a0b08f68ce504679d8aecd1ce668ac258a3c8bd3d17b9aac","observation_id":"8933fd03-3fe4-4985-a75f-b97b5077f125","resolution":{"observed_at":"2026-08-07T14:21:12.256604Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:08.291966Z","title":"High-resolution image synthesis with latent diffusion models","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.291966Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:d49d6d16b6d227969acc072f7ee4b8eb0ad0cbba9b236dd5a5650b8a559ff30d","observation_id":"7dbc26b7-1bbe-47eb-a15e-d057df67d3ca","resolution":{"observed_at":"2026-08-07T14:21:08.291966Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:11.858207Z","title":"Variational annealing on graphs for combinatorial optimization","venue":null,"work_id":"fa4e6661-1c1b-440d-924a-f01d77c08073","year":2023},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.370843Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:4aa22f7d91b787a008a6947545bc1c0409ca0cc16f367836474798aeb61893aa","observation_id":"e12b19b0-030c-43e2-916a-6a4a5cad2211","resolution":{"observed_at":"2026-08-07T14:21:11.991394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:11.585911Z","title":"A diffusion model framework for unsupervised neural combinatorial optimization","venue":null,"work_id":"6d724f01-e8f3-48b1-930e-68413da29058","year":2024},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.467744Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:6732beb63d716b220d3b8aba77f8e078fa2d62fff34c9041e74b2d88403e5565","observation_id":"a7b09ec9-b49b-49b2-9764-1c08d21e33ea","resolution":{"observed_at":"2026-08-07T14:21:11.732526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:11.372300Z","title":"and Sun, N","venue":null,"work_id":"fff794f5-c686-4b69-a4b0-cb8a674d5593","year":2012},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.563649Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:8b05ff30779e39a642ce8994935f075337dfebd88fe3c124cb08d0f17c44c0f5","observation_id":"464cd84b-cf8e-4da0-945d-07e16f1a01e4","resolution":{"observed_at":"2026-08-07T14:21:11.481278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.02502","last_updated":"2022-10-05T20:19:21Z","snapshot_observed_at":"2026-07-06T10:01:50.133383Z","submitted_at":"2020-10-06T06:15:51Z","title":"Denoising Diffusion Implicit Models","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.02502","snapshot_observed_at":"2026-08-07T14:21:08.620624Z","title":"Denoising diffusion implicit models","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.620624Z"},"links":{"cited_paper":"/paper/2010.02502","citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:691ea07804dad4ec47853527010b9c0ac641894b03623336dd12b2d765b060ad","observation_id":"3e419896-3d0f-4a71-a54c-49004b57d673","resolution":{"observed_at":"2026-08-07T14:21:08.620624Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.13456","last_updated":"2021-02-10T18:17:04Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2020-11-26T19:39:10Z","title":"Score-Based Generative Modeling through Stochastic Differential Equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.13456","snapshot_observed_at":"2026-08-07T14:21:08.682914Z","title":"P., Kumar, A., Ermon, S., and Poole, B","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.682914Z"},"links":{"cited_paper":"/paper/2011.13456","citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:f5e0bc21c8e3123eb79345735732ccd9e42d0fa6a3522fa639c3ea6c4c352ead","observation_id":"dae90d42-0f69-49ea-8a0b-d5528879f10d","resolution":{"observed_at":"2026-08-07T14:21:08.682914Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:11.182182Z","title":"Path auxiliary proposal for mcmc in discrete space","venue":null,"work_id":"3566feee-e0a5-44e7-b7c6-9c56d5502351","year":2021},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.731433Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:43176fdecdb8be19405a0413651df17fecc6304f838937f97c2d90a9056ec504","observation_id":"c757c2a4-7904-4435-b49c-acb67362c279","resolution":{"observed_at":"2026-08-07T14:21:11.272631Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:10.964885Z","title":"K., and Dai, H","venue":null,"work_id":"253c1258-0bda-458a-8e5b-1172406ccb5d","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.805302Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:9d29241b766a36dce0453e4808c9fa6e6a47636571541daa1a50c835e9e48d76","observation_id":"7b18e969-45fb-4d00-a7a3-c980f3c288a3","resolution":{"observed_at":"2026-08-07T14:21:11.088168Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:10.845559Z","title":"Any-scale balanced samplers for discrete space","venue":null,"work_id":"6c6f86b3-143f-403e-8bcd-bdc6899e550d","year":2023},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.865229Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:d6ea9d3c068a8fb45cf7e08793d60a19b78c52116ad4fc14f161a3373bfe215c","observation_id":"658afcf2-7078-44c2-8220-c64ace826f49","resolution":{"observed_at":"2026-08-07T14:21:10.882303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:10.719729Z","title":"Discrete langevin samplers via wasserstein gradient flow","venue":null,"work_id":"1bc03d4c-1a83-4dae-88b0-10eda2825ca1","year":2023},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.917126Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:df890ece6269fb7dd4fb7332cc784d33189d441c82d825d4239d8451f9fbbdb2","observation_id":"d3a1cd3b-ff73-44b1-bf06-fffc18395509","resolution":{"observed_at":"2026-08-07T14:21:10.770858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:10.500760Z","title":null,"venue":null,"work_id":"1ae202da-5fec-46db-9e95-aa2466032a53","year":2017},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:08.959885Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:1a0c457946d3a60ad78dad3fcca13c9e4f12afeb1982af1685f4eedf37dde062","observation_id":"29b0b9a5-0e18-44e5-a594-b5823a434a89","resolution":{"observed_at":"2026-08-07T14:21:10.618811Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.04094","last_updated":"2019-04-09T18:01:28Z","snapshot_observed_at":"2026-08-06T22:51:14.869467Z","submitted_at":"2019-02-11T19:02:27Z","title":"BERT has a Mouth, and It Must Speak: BERT as a Markov Random Field Language Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.04094","snapshot_observed_at":"2026-08-07T14:21:09.028484Z","title":"and Cho, K","venue":null,"work_id":null,"year":1902},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:09.028484Z"},"links":{"cited_paper":"/paper/1902.04094","citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:3b4761f7511773c0bc25ddfacc4665ec62f51c9a0e49611d59edb8335c9304d1","observation_id":"1f1d1668-04eb-4d21-8a61-8be922c2c7fa","resolution":{"observed_at":"2026-08-07T14:21:09.028484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:10.396258Z","title":"Poincar \\'e and transportation inequalities for gibbs measures under the dobrushin uniqueness condition","venue":null,"work_id":"72e2b3fd-0afc-48ee-9e5d-5ac56178c827","year":1960},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:09.075820Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:e68ee726827f3a9a0e0f151629a1ef8c0638cef5188e67ada8cf81fbd1892ae8","observation_id":"bc51ac2b-7de8-4379-b15c-c04009db3925","resolution":{"observed_at":"2026-08-07T14:21:10.435503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:10.298597Z","title":"Informed proposals for local mcmc in discrete spaces","venue":null,"work_id":"ffb46d8e-304c-4dd3-9a9c-7a88a820b52d","year":2020},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:09.119139Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:edfb58d43e7f41da3994c4cff821b3e4112ef22f21df576f8c4d33cee2d7515c","observation_id":"961d8262-f342-499f-a7b8-803c1b276ae5","resolution":{"observed_at":"2026-08-07T14:21:10.355370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:10.142400Z","title":"A langevin-like sampler for discrete distributions","venue":null,"work_id":"627ffb0c-1e82-4c76-b1b7-ba3e75a8288b","year":2022},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:09.173253Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:4c8e1ba7130d972fe4965446bb4b35f24bf3d931ec634efdfd5c5a1a6d35aac0","observation_id":"745cb652-316e-4e9b-817a-c2faea9a57d8","resolution":{"observed_at":"2026-08-07T14:21:10.207475Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:10.012909Z","title":"J., and Sutton, C","venue":null,"work_id":"0f935536-d192-4ce4-80d3-91f9846c452b","year":2012},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:09.214731Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:4922506eb986dc568e44f3870b53db1bc05a28397b13c1838acd570e67857f3a","observation_id":"21f77fbd-c589-4afc-b4b1-7a4f1e5609a5","resolution":{"observed_at":"2026-08-07T14:21:10.055939Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:21:09.244231Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-07T14:21:09.244231Z"},"links":{"citing_paper":"/paper/2505.19438"},"observation_digest":"sha256:dd4f6d7b231bc461bd2d824137784260b98ed8cb68f10488b185b4efb39d898e","observation_id":"44dfb848-34c6-4fcf-bbc9-a1e227f40fcb","resolution":{"observed_at":"2026-08-07T14:21:09.244231Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2505.19438","last_updated":"2025-05-26T02:56:22Z","latest_version":1,"primary_category":"math.ST","snapshot_observed_at":"2026-08-07T14:11:50.060082Z","submitted_at":"2025-05-26T02:56:22Z","title":"Sampling from Binary Quadratic Distributions via Stochastic Localization"},"reference_resolution":{"displayed":64,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":2,"verified_fuzzy":41},"total_outbound_references":64},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2505.19438."}