{"as_of":"2026-08-17T13:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3d416d87e00a9d19a78506df133c061c10805ac51cb5e4f9015cd749186fb60a","coverage":[{"denominator":60,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":60,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T06:17:53.337255Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/2608.13487/citation-record","integrity":"/paper/2608.13487/integrity","json":"/paper/2608.13487/citation-record.json","paper":"/paper/2608.13487"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:17:54.381964Z","title":null,"venue":null,"work_id":"3c6a9e84-2576-4d33-8dec-d23205eda905","year":null},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.080210Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:75736b9bb3e7333821a521b2cd00464b94e2192d935c75d2cfe8af29f78b57ac","observation_id":"971d7f22-5a33-405b-aa41-1ed6f7ac95ad","resolution":{"observed_at":"2026-08-14T06:17:54.386445Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.369508Z","title":"Verallgemeinerung eines Mittelwertsatzes von J","venue":null,"work_id":"9ddd2e98-a1b0-43fd-bfe0-6d0d608d01f8","year":1947},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.085023Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:735012dd5bc5cadc176da32762f2fa5cd9ab18143309df8d81e7fd8f05bd29a6","observation_id":"e40bb205-f9a1-4ac1-a4c6-cb31865d0f53","resolution":{"observed_at":"2026-08-14T06:17:54.374126Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.356383Z","title":"Discrete & Computational Geometry , volume=","venue":null,"work_id":"4026aea4-b0d9-424c-aa43-c9004d0bf565","year":2026},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.092204Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:6131c83f229253f53c0d0168bc709a151216c6945e8744d981dd5613195d4ac5","observation_id":"a61a016d-81f2-44f4-bcc5-98ebae2b0229","resolution":{"observed_at":"2026-08-14T06:17:54.361094Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.342545Z","title":"Discrete & Computational Geometry , volume=","venue":null,"work_id":"21588cd1-a7ef-4dbe-a5d5-f3ae96920ed7","year":1995},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.097819Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:af4d224ce5c5f4ab808a6bc2c3ad14f69ce4e05b3b2ef34bc3b336e5d28619eb","observation_id":"ceecc548-7ae2-4fb6-81e5-b5cfcb877006","resolution":{"observed_at":"2026-08-14T06:17:54.348015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.102776Z","title":"Needle Decompositions in Riemannian Geometry , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.102776Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:eb668f6e6f423fd2d068244a631e650d7344dccdc6249bebbe29b41b2fcb9916","observation_id":"124b8ca4-940e-4c4c-9942-57b6a585b56a","resolution":{"observed_at":"2026-08-14T06:17:53.102776Z","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":"2026-08-14T06:17:54.330278Z","title":"Geometriae Dedicata , volume=","venue":null,"work_id":"4d333af6-2063-4823-a194-153e59d362b2","year":2019},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.107223Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:1420d234392a8c743056c4f0df08481358482cdfffbbf8d6440e35face768e41","observation_id":"c861e1e6-d0a2-40b5-9b09-c0101e0e6d1a","resolution":{"observed_at":"2026-08-14T06:17:54.334362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.317185Z","title":"Commentarii Mathematici Helvetici , volume=","venue":null,"work_id":"6ca24159-93f1-494f-9da5-6feccbc5140c","year":2021},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.111552Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:12e2b060e29c415c5c1f9a4c20d807d137a97fa06f16b8b85c848abd1a03bb50","observation_id":"cff6e5bf-158b-4f9e-9031-716f7695bd48","resolution":{"observed_at":"2026-08-14T06:17:54.321983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.304764Z","title":"Stability of Eigenvalues and Observable Diameter in","venue":null,"work_id":"47f4ec13-c8f2-4d63-8293-5a1d9eca911b","year":2022},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.115542Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:fa1920b029368abae3ed7c9083a060fd40143638155b2a57647a1dc4fe6f377d","observation_id":"da362b0b-7f63-436a-9f66-062865a52e4d","resolution":{"observed_at":"2026-08-14T06:17:54.308990Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.289468Z","title":"Weighted Berwald's inequality","venue":null,"work_id":"f26a46e1-a6aa-4f0a-8388-4d4936dfc45d","year":null},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.119724Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:30b012a51fc92684ec89391f9da07901f5a46ab5a70ef3b7e163cd06f11ce055","observation_id":"e55bbd9d-4eab-412d-bf40-ee85e5912b35","resolution":{"observed_at":"2026-08-14T06:17:54.295404Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.273399Z","title":"Mathematical programming , volume=","venue":null,"work_id":"d7a5c4e2-f52d-4240-923b-0e4d0ca4d7ee","year":1999},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.123609Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:062c80f5906fbb7b82787587b3faf9070a16f56ed37623d74a636c4e0faec619","observation_id":"963b10f5-4b88-479a-95b4-e687d7ede617","resolution":{"observed_at":"2026-08-14T06:17:54.278921Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.128185Z","title":"Random structures & algorithms , volume=","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.128185Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:666e92c8e0fe1e26c65d2759a2b61b89a8902a29ca07fa9355de4ef566c2aa45","observation_id":"b2cb91ac-934f-4243-8851-54216a633760","resolution":{"observed_at":"2026-08-14T06:17:53.128185Z","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":"2026-08-14T06:17:54.245913Z","title":"Proceedings [1990] 31st annual symposium on foundations of computer science , pages=","venue":null,"work_id":"37fb15f0-afb5-40ba-81ff-cb06c06724b8","year":1990},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.132580Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:ddca7d9e6d66090f196956e28816dfff5804c300b23089ca370fb4be808f425d","observation_id":"302a8a38-6819-4c2a-a03b-e4738eb501a6","resolution":{"observed_at":"2026-08-14T06:17:54.251911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.230623Z","title":"Hit-and-Run from a Corner , journal =","venue":null,"work_id":"5463b27d-c782-49c4-b965-3a376d8e29bd","year":2006},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.137165Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:6f34dc8158e51eb45185a384f880af6d718614082d2eaac22549150d7be790a5","observation_id":"5f85ff9b-c572-4c2c-95e1-fe366a716326","resolution":{"observed_at":"2026-08-14T06:17:54.236094Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.141965Z","title":"Random Structures & Algorithms , volume=","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.141965Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:42d1dc09b4df81f16578f722c023c5127d43568588723c032eccedb8d84997e1","observation_id":"55e7317d-c939-4e53-9221-67cfd28a5a35","resolution":{"observed_at":"2026-08-14T06:17:53.141965Z","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":"2026-08-14T06:17:54.204639Z","title":"Operations Research , volume=","venue":null,"work_id":"154a6ac4-523a-4a23-9ce9-04793e8afbd8","year":1984},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.145976Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:6d2614c35856f2dc459a77b594f767a22a6c9c446b1b247fa528583666de7045","observation_id":"b29c2921-4117-4e34-86d4-f0310e1f3773","resolution":{"observed_at":"2026-08-14T06:17:54.210234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.191483Z","title":", title=","venue":null,"work_id":"96e20c3b-32c0-4a88-91c1-ad786b54f3c7","year":null},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.149784Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:0d75b7af1d45dcb9d1991bac008c38a7513f54fecb138ade1c7908c1f2c04da9","observation_id":"04768450-ab2f-45c5-adaf-b3c0476b2cd0","resolution":{"observed_at":"2026-08-14T06:17:54.196687Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.178821Z","title":"Ars Inveniendi Analytica , year=","venue":null,"work_id":"c9c6ca32-27cf-4348-971d-415aec1812b8","year":null},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.153749Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:0dc57f215c906cead85d743ddece9b861c735caf8d21824f046403a88d3fce15","observation_id":"da62ba40-4661-444d-9643-420d21dd0e58","resolution":{"observed_at":"2026-08-14T06:17:54.183201Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.162549Z","title":"2026 , eprint=","venue":null,"work_id":"d963d6a9-d8da-4b33-8f1e-be0c554c0598","year":2026},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.157897Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:3d337cbee954df768a589e5ae1c0913fa23ff499d02728407643f175cbbf8412","observation_id":"2c8de051-e8bb-42ea-a850-eb7e135ec9a9","resolution":{"observed_at":"2026-08-14T06:17:54.169536Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.147400Z","title":"and Frieze, Alan M","venue":null,"work_id":"857ff076-93ad-4e3e-924e-73f2731c5b63","year":1991},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.162418Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:1b477bcabb27b9921c1b70d3a77a680f9c8e4b9f17e16c72a165dd1f2e705550","observation_id":"55e3648d-6478-42b5-aac1-01ca078a02e5","resolution":{"observed_at":"2026-08-14T06:17:54.151631Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.134425Z","title":"Random Walks and an","venue":null,"work_id":"153709c9-c862-4aaa-94c0-f80244d6b19d","year":null},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.166124Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:cf382e87c3a5cb141e24bbf8db37ee1f88f6b2c3a78e8f53e0ebbc1fec02418e","observation_id":"c12201a5-ff51-43e6-833c-194a9dfcdc3b","resolution":{"observed_at":"2026-08-14T06:17:54.138776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.122191Z","title":"Simulated Annealing in Convex Bodies and an","venue":null,"work_id":"aec1796b-212c-4625-b098-a14a22351768","year":2006},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.170161Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:0da1c2c145c40b1e7aeccebb87f68920bb97d28b82894a90d6a0f3aa37ee5cd3","observation_id":"9caeb7b2-721c-4c59-9eeb-b826265df1a3","resolution":{"observed_at":"2026-08-14T06:17:54.126546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.108736Z","title":", title=","venue":null,"work_id":"3c9da958-9b97-4b1d-a920-e0d92fe2a572","year":2018},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.174235Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:d50c0e9bb504c2124c43dc36c92f23a8ed1e892170df6d97923fc362518254b6","observation_id":"ac1ce941-a1d3-444f-a41b-37033b5c4ff9","resolution":{"observed_at":"2026-08-14T06:17:54.113657Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.097100Z","title":"Geometric and Functional Analysis , volume=","venue":null,"work_id":"12a73ab7-81a5-41a0-a80f-7da689597985","year":2013},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.177984Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:f2cec9955aa0ee1570626fc2e2bd920e86887f90c94c5e9922688911ebf60a3c","observation_id":"7e10b56a-cfc4-4523-bfb3-3bdc39739319","resolution":{"observed_at":"2026-08-14T06:17:54.101294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.084451Z","title":", title=","venue":null,"work_id":"d3287064-043c-413b-a82d-9920debceb16","year":2024},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.182294Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:63bd71f8415b4212f8cd8f776ea9015f76516006920416a794e0435d34588a83","observation_id":"a0a8b565-d772-4bdc-b07c-d89a15aecea8","resolution":{"observed_at":"2026-08-14T06:17:54.088942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.070919Z","title":"Geometric and Functional Analysis , volume=","venue":null,"work_id":"793caf77-5eb6-40b1-8208-6e72a3c42995","year":2021},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.186594Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:d16ea5b918e506c56513e9d35f8c7d7ec8b860b1f06758210bfe60c637bfccf3","observation_id":"f8b722e8-2634-4902-98be-973438fad3ef","resolution":{"observed_at":"2026-08-14T06:17:54.075920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.057204Z","title":"Geometric and Functional Analysis , volume=","venue":null,"work_id":"8362552f-b7c0-410a-89d8-60de1d4fd764","year":2022},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.190691Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:adbeac54091c58914cad9ae26640475cd4e1839fe5532a0485e6685cfa18e27e","observation_id":"9511a1e4-4dc0-470a-a195-e9254210dadb","resolution":{"observed_at":"2026-08-14T06:17:54.061510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.043231Z","title":"2024 , eprint=","venue":null,"work_id":"b07be13e-dc19-47b8-92e2-5544e9d06506","year":2024},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.194968Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:cbd9e935e43f66212d64a4d0103fe913ef77659a25dc93019e5620515c576d25","observation_id":"fe430eca-9c37-44c5-8ff9-578f57517742","resolution":{"observed_at":"2026-08-14T06:17:54.048450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.031629Z","title":"Geometric and Functional Analysis , volume=","venue":null,"work_id":"781e47ce-88ae-48a6-8c1e-6208c07758ac","year":2025},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.199259Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:ddb4024894862b97aaae90ab3d57c52710c283e68311eed739c1e71aef45265f","observation_id":"c6c50d34-ff6d-4f6a-bdf4-925f8dd70aa0","resolution":{"observed_at":"2026-08-14T06:17:54.035624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.018532Z","title":"Concentration, Functional Inequalities and Isoperimetry , series=","venue":null,"work_id":"2e345e2c-21f7-4404-910d-79a12a8b0ed2","year":2011},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.203072Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:eae227a0deefd569da3a63ef95b20330a98c373289b0c1c08410b8b42fae8aa4","observation_id":"4fcfc585-28e7-4c2c-8d49-4f9564c031f3","resolution":{"observed_at":"2026-08-14T06:17:54.023101Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:54.001122Z","title":"2025 , eprint=","venue":null,"work_id":"d9ced455-9128-49f5-9bd5-7ff4b134c116","year":2025},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.207258Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:5543bfe6a19eb8fff8276d8768995d4d137b3127fa771a81ec66b698f2d4ddbf","observation_id":"80c28a65-2fc2-41d0-8011-a879a302c23e","resolution":{"observed_at":"2026-08-14T06:17:54.006078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.982161Z","title":"2025 , eprint=","venue":null,"work_id":"8e5db17b-3be8-4ddd-b6cb-801d270b2d19","year":2025},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.211334Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:ac27072b0209eef2e72bf26203a7c2a558aef918e9a21d9b081b6b0c424b748f","observation_id":"ff866320-b81e-4d2c-834b-f45723436aff","resolution":{"observed_at":"2026-08-14T06:17:53.986753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.966770Z","title":"2026 , eprint=","venue":null,"work_id":"33a9d50b-2ceb-4b56-97d9-f9a7a75e5146","year":2026},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.215865Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:d5adaa4723425c1903488525fde01c0a739c4f32e868f1c17d61f7137345feb4","observation_id":"93786d0f-7c03-41a1-be01-00e810cc5d32","resolution":{"observed_at":"2026-08-14T06:17:53.972747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.950884Z","title":"Bulletin of the Hellenic Mathematical Society , volume=","venue":null,"work_id":"681e3fed-2e65-4c6a-b5be-e14b108b72bb","year":null},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.219839Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:5d3fd1ffadf828129b540ec2822bce29e86b781e35f5a209a1760c95f86a6c36","observation_id":"13833a22-1a48-4a22-802d-65019ea6f0ac","resolution":{"observed_at":"2026-08-14T06:17:53.956297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.934730Z","title":", title=","venue":null,"work_id":"19c4733e-1972-469e-994c-c4e9d822d4fa","year":2025},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.225422Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:3825dd5a5eddd795ee833a2ba1c093f7fc2788bfe9f1456f91b805e59c206fc6","observation_id":"6c1e381f-81c7-4dfd-97da-c5af7c705c59","resolution":{"observed_at":"2026-08-14T06:17:53.939470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.914490Z","title":"2022 IEEE 63rd Annual Symposium on Foundations of Computer Science , pages=","venue":null,"work_id":"04b63c49-0161-4ece-a69a-a2f143cc5686","year":2022},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.229854Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:2548d5934525f069d621d93faa12266f43d73494f9b7344589f86a14f959a951","observation_id":"09db5bfc-621a-4332-8857-5429e5fbb6a0","resolution":{"observed_at":"2026-08-14T06:17:53.920015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.899870Z","title":", title=","venue":null,"work_id":"854dbef7-9fbb-4f63-a354-e389093ffa5b","year":2026},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.234805Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:f881729d7e694bd451dba2de3bad63e2e044c32dfa1ddb287c748c042b17e765","observation_id":"87b61767-b016-4f7d-b0a1-79d34abdd635","resolution":{"observed_at":"2026-08-14T06:17:53.905290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.883156Z","title":"Problems in Analysis , editor=","venue":null,"work_id":"f1339471-edba-4612-a135-5ab8f2f2700e","year":null},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.238849Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:2c9dd5568ba54df27a9eab2fb1b6db4b3362b9d425b9b7210dfe406eade5d21d","observation_id":"2ee7801b-f092-46d2-9cf5-19d5eefd14ed","resolution":{"observed_at":"2026-08-14T06:17:53.890218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.868496Z","title":"Transactions of the American Mathematical Society , volume=","venue":null,"work_id":"e1ada147-1801-4039-bb4d-85f1bed62a8d","year":null},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.243918Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:14aee8a9fb701d68c4dcbf67a838bb1560a4e450a398a7addd98098b8a46dd61","observation_id":"1bb7e5f8-bb75-41b3-bf13-0374309a4b78","resolution":{"observed_at":"2026-08-14T06:17:53.872980Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.853134Z","title":"Geometric Aspects of Functional Analysis: Israel Seminar 2001-2002 , pages=","venue":null,"work_id":"df21f621-f36e-41f4-bc39-3a7e43500491","year":2001},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.248251Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:709ec2da41bf13b7baf56b13de40bef289338efff57469a5e8f4bb34fd5cbbd0","observation_id":"a6aec0ba-69ec-4069-a30c-d65b9895a67f","resolution":{"observed_at":"2026-08-14T06:17:53.858671Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.837843Z","title":", title=","venue":null,"work_id":"132e9ac1-e371-418e-ae8f-168ed56689cb","year":2025},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.251941Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:3d3c0528e7cab6c345cac8f9978ebdb1a0c5c3a954dcd6706f1a30ab80012958","observation_id":"9e655f45-cdcd-4530-98e7-017ece52c67e","resolution":{"observed_at":"2026-08-14T06:17:53.842942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.822804Z","title":"Proceedings of the Thirty-Fourth Conference on Learning Theory , series=","venue":null,"work_id":"f5a8f0fd-8ff2-4245-8ca8-f28ab081223d","year":2021},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.255838Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:28330694033124054fab93b00323157e8a13e9d8fb0dd365436db922be6891c6","observation_id":"32a08607-3368-4452-9412-71e0b7ef3072","resolution":{"observed_at":"2026-08-14T06:17:53.827510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.808830Z","title":"Mathematics of Operations Research , volume=","venue":null,"work_id":"6bb8123f-b444-4444-b4f1-9aa5e8d3aaab","year":2012},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.259596Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:f7d9e784df4c2607a5f3fe1056fa746389c7ae4fccfea692fa716898834f5bd0","observation_id":"388f8f2f-71c1-41d2-a3ad-688891361cf1","resolution":{"observed_at":"2026-08-14T06:17:53.814657Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.789765Z","title":"and Yu, Bin , title=","venue":null,"work_id":"8d2dcaf5-1bb9-4271-a743-ca3161103326","year":2018},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.263740Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:7ffee855b4ef39bbdc96f00ed2df57dc144e7cf86e0734030a63a88191fad99a","observation_id":"894a7c08-e78f-4fd7-a482-2b237c39ded1","resolution":{"observed_at":"2026-08-14T06:17:53.794438Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.774779Z","title":"Proceedings of Thirty Seventh Conference on Learning Theory , pages =","venue":null,"work_id":"bb6d29f2-2fd6-4fee-ab5f-e4c03e03f211","year":2024},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.267847Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:600aaffed8e88228e4a9ea787c5abf15c6c7ef1c86f4bc9fc754e6738c0c62a2","observation_id":"6fe3f26a-c6fb-44e2-8fc9-650fc7ced78e","resolution":{"observed_at":"2026-08-14T06:17:53.779101Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.761051Z","title":"The Thirty Seventh Annual Conference on Learning Theory , pages=","venue":null,"work_id":"d60a8871-0ede-4336-af01-2d18b3c6c7ca","year":2024},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.271856Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:4b02419ffe5ba6c8af96f762955c54b0f24876095ad8a326b5e56692581b9a95","observation_id":"83ba8d12-52f5-4f33-8e33-18651509ffda","resolution":{"observed_at":"2026-08-14T06:17:53.765374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.13943","last_updated":"2026-07-15T15:29:25Z","snapshot_observed_at":"2026-08-15T22:16:09.324675Z","submitted_at":"2026-07-15T15:29:25Z","title":"Beyond the $d^{2.5}$-mixing bound for Dikin walks on polytopes","version":1},"cited_work":{"arxiv_id":"2607.13943","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.13943","snapshot_observed_at":"2026-08-14T06:17:53.522687Z","title":"Beyond the $d^{2.5}$-mixing bound for Dikin walks on polytopes","venue":"cs.DS","work_id":"b52c98e7-913c-462c-8ee7-9e0aad8b163d","year":2026},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.275665Z"},"links":{"cited_paper":"/paper/2607.13943","citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:24f033ce82e3ab9b38b86a2d4cf95f86b7c2c1f02e9a303ab849a33a86763ad4","observation_id":"74a3f1db-d924-479f-8184-db583a9131ca","resolution":{"observed_at":"2026-08-14T06:17:53.529450Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.744897Z","title":", title=","venue":null,"work_id":"0f2cd9c3-7bda-4cb5-90da-5c1381dca0f7","year":2018},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.280628Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:564c594389bd8230be5e5685b25ec3ca2580857bb8b5627b01fac4f20bea9d56","observation_id":"c51334e7-8477-4a0a-86c5-4dba586454a9","resolution":{"observed_at":"2026-08-14T06:17:53.751165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.730842Z","title":", title=","venue":null,"work_id":"60b4756c-6be5-4ea7-b0fa-00248771c337","year":2020},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.284979Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:2d4845ca52bb6dbe70c8711dbd986eeefd344de2ce5d3888d178011d30de2e9e","observation_id":"5adafddc-bd0b-4c81-96d2-ccefd95dd0f3","resolution":{"observed_at":"2026-08-14T06:17:53.735460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.713075Z","title":"Proceedings of the Thirty-Fifth Conference on Learning Theory , series=","venue":null,"work_id":"19b864be-4049-471c-aadc-80e6ff4431a0","year":2022},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.290031Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:933ff9b566e4edcfe2707f84f243af4c91dedec93254a5027a1707b29fc41b63","observation_id":"429d87cf-422b-49e6-a621-6ab67f6f907e","resolution":{"observed_at":"2026-08-14T06:17:53.719676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.295188Z","title":"Journal of the ACM (JACM) , volume=","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.295188Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:3d57eb472b694445717e3e0c494b70fe8ff26d5248acd3060d962b9d177ffb80","observation_id":"7daf0703-7b52-4105-9c17-69b200e3ffa8","resolution":{"observed_at":"2026-08-14T06:17:53.295188Z","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":"2026-08-14T06:17:53.675072Z","title":"Mathematics of Operations Research , volume=","venue":null,"work_id":"2304234c-3f7c-4a77-b080-eeaa51e7b673","year":2006},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.299883Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:c3a5960809593d32af2a8c5cef5a2755cd0585fc067df6113a61593773a01c0d","observation_id":"616d3958-1014-4379-a6c8-58378caf3d93","resolution":{"observed_at":"2026-08-14T06:17:53.680851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.655156Z","title":"Bayesian Analysis , year=","venue":null,"work_id":"b7a64c65-51f1-4221-91ff-01b9c9fe0389","year":null},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.303740Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:f12a57bebb32b3c8b59f26e58652024dfb03601b73bf746a735216db4fa3915d","observation_id":"26e39d28-cd60-418c-857f-ee9dee6bdc5a","resolution":{"observed_at":"2026-08-14T06:17:53.659660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.307672Z","title":"Journal of the American statistical Association , volume=","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.307672Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:46cc8b1c85cdc863b7cad0d6fea5d07749f9791dd8946b379baf4f76a6036a3b","observation_id":"4c933810-8447-42f9-be58-1ec4c68dfd6f","resolution":{"observed_at":"2026-08-14T06:17:53.307672Z","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":"2026-08-14T06:17:53.630668Z","title":", title=","venue":null,"work_id":"6c62bdd3-12d5-4fcc-a06a-097707f7e51e","year":2025},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.311854Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:85d3c04432e66539221238801b90c2e1c825085b3635e76fe9a98b2beeff34e4","observation_id":"c477ecfa-ffb4-4023-a9c6-afdb761230cc","resolution":{"observed_at":"2026-08-14T06:17:53.636128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.615401Z","title":", title=","venue":null,"work_id":"4b2bce1e-3204-4a68-a599-7884410503bf","year":2026},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.316532Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:222bde8f2a8306345aec5c47b72787ac232149d681380a4e9e56d504b9f513a6","observation_id":"e1dc46c9-02da-45f6-87dc-9c0b6236a488","resolution":{"observed_at":"2026-08-14T06:17:53.620664Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.600627Z","title":"and Zhang, Matthew S","venue":null,"work_id":"66be7872-3870-4ba7-9414-d8896a643bd1","year":2024},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.320278Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:1b89e55a9772f17f55a9ad29d69ac4705dc9da4b6f61aadc95b43b334503635a","observation_id":"29f3a7aa-f7de-4e48-8b35-6332aea2bf5e","resolution":{"observed_at":"2026-08-14T06:17:53.605243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.585081Z","title":", title=","venue":null,"work_id":"49758104-e337-44c3-9a61-a4b1d5c85e7d","year":2025},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.324069Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:db8ba950aa01e2a40cae58ef49a5d2e5b683de414ef545363e791cdf07ea153c","observation_id":"8fd31287-6244-42fd-82c1-40e1a989b0cd","resolution":{"observed_at":"2026-08-14T06:17:53.589936Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.328325Z","title":"American Journal of Mathematics , volume=","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.328325Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:de4c5aaa85c59b6ff76ca66308b37747107bc526a5ba16b2b847186ebb5331f1","observation_id":"ad4a0c66-0a70-4716-8425-4a4600270025","resolution":{"observed_at":"2026-08-14T06:17:53.328325Z","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":"2026-08-14T06:17:53.551866Z","title":"Annales Scientifiques de l'\\'Ecole Normale Sup\\'erieure , volume=","venue":null,"work_id":"9fdefd13-3417-40e3-abf5-312b1b235299","year":1982},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.333460Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:eda2ba8f734a8673638b524504efb734b98ee1a864cf0f1d2b1f07d3e4f03938","observation_id":"22f56042-8ed5-4a73-8e0d-7cf48495637f","resolution":{"observed_at":"2026-08-14T06:17:53.556195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T06:17:53.538256Z","title":"Surveys in Differential Geometry , volume=","venue":null,"work_id":"270934ec-0fcf-413c-ae83-55b839baacf1","year":2004},"citing_paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-14T06:17:53.337255Z"},"links":{"citing_paper":"/paper/2608.13487"},"observation_digest":"sha256:1f452cb7aae8fcce4bef5dc96b50b762955100c35b7085d2a10df3805c5ccb09","observation_id":"4f0690b1-b685-4603-bd1c-4c38f3de4847","resolution":{"observed_at":"2026-08-14T06:17:53.542794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.13487","last_updated":"2026-08-13T17:15:31Z","latest_version":1,"primary_category":"cs.DS","snapshot_observed_at":"2026-08-16T23:35:42.800173Z","submitted_at":"2026-08-13T17:15:31Z","title":"Hit-and-Run Mixes as Fast as the Ball Walk"},"reference_resolution":{"displayed":60,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":1,"verified_fuzzy":52},"total_outbound_references":60},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2608.13487."}