{"as_of":"2026-08-15T04:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:331f1f714e3f06d30bdf1c33b875d421608ca336490397649cd8bd3d2cd00dc0","coverage":[{"denominator":67,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":67,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:14:41.879377Z","state":"measured"},{"denominator":67,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":67,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/1908.03903/citation-record","integrity":"/paper/1908.03903/integrity","json":"/paper/1908.03903/citation-record.json","paper":"/paper/1908.03903"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0012090","last_updated":"2002-05-25T00:33:05Z","snapshot_observed_at":"2026-08-04T02:32:24.101467Z","submitted_at":"2000-12-18T04:20:51Z","title":"Quantum Walks On Graphs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0012090","snapshot_observed_at":"2026-08-14T14:14:41.583090Z","title":"50– 59, 2001, arXiv:quant-ph/0012090","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.583090Z"},"links":{"cited_paper":"/paper/quant-ph/0012090","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:e117d7ee1a9c9b3e923da4223d0783327ce65bb05295adad4ef67219053a8a67","observation_id":"c78e651e-a327-4e3f-9aa4-1f3470760a6b","resolution":{"observed_at":"2026-08-14T14:14:41.583090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0301023","last_updated":"2003-01-07T23:02:35Z","snapshot_observed_at":"2026-07-07T07:11:35.292783Z","submitted_at":"2003-01-07T20:39:05Z","title":"Adiabatic Quantum State Generation and Statistical Zero Knowledge","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0301023","snapshot_observed_at":"2026-08-14T14:14:41.588232Z","title":"20– 29, 2003, arXiv:quant-ph/0301023","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.588232Z"},"links":{"cited_paper":"/paper/quant-ph/0301023","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:1c0611ebb8001198ce173e8497eca860f6d31ddca839f656de22bdb5936bd063","observation_id":"3700b99b-a62d-47a2-83ee-b109167a0656","resolution":{"observed_at":"2026-08-14T14:14:41.588232Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0501169","last_updated":"2006-02-03T19:04:07Z","snapshot_observed_at":"2026-08-03T04:49:17.681473Z","submitted_at":"2005-01-28T16:19:16Z","title":"Decoherence in Quantum Walks on the Hypercube","version":5},"cited_work":{"arxiv_id":"quant-ph/0501169","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/0501169","snapshot_observed_at":"2026-08-14T14:14:42.488912Z","title":"Decoherence in Quantum Walks on the Hypercube","venue":"quant-ph","work_id":"478b58d6-ffc7-48b2-8fc6-c67784ddc1b7","year":2005},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.592560Z"},"links":{"cited_paper":"/paper/quant-ph/0501169","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:46ff39441657f5e3076565b188dbe08d9a735386c84367354d09cd548f4997f2","observation_id":"025b6586-bbc9-4dcd-ba9f-29f03e87f154","resolution":{"observed_at":"2026-08-14T14:14:42.493511Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.965820Z","title":"37–49, 2001","venue":null,"work_id":"80cec4aa-aa18-4887-ab7e-a548546b476d","year":2001},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.598400Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:967d21cf867f790449578dff69339069c2e478cd32f3a873758d989cd59c2e73","observation_id":"c077aec1-edbb-4ee1-abea-dd010f628ded","resolution":{"observed_at":"2026-08-14T14:14:42.971018Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1809.00643","last_updated":"2019-12-20T17:14:21Z","snapshot_observed_at":"2026-08-14T18:33:39.691967Z","submitted_at":"2018-09-03T16:30:24Z","title":"Convex optimization using quantum oracles","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.00643","snapshot_observed_at":"2026-08-14T14:14:41.602976Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.602976Z"},"links":{"cited_paper":"/paper/1809.00643","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:84e3d1a0274546caef784a78fe6fa54f04ed8b25a7321aa43372266a52537a9a","observation_id":"c9e19fd3-6f4a-4108-ab08-94572b3dd2f8","resolution":{"observed_at":"2026-08-14T14:14:41.602976Z","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":"2026-08-14T14:14:42.953042Z","title":"156–163, 1991","venue":null,"work_id":"1ffee805-6b47-4dfc-ba79-6adc87a050f1","year":1991},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.608571Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:8de9cd0dd28e6f94d4f4061d57c47cc63ec1497fd109fcf5e92e36d57cce8db3","observation_id":"4fbf5ff7-dc3a-47f0-ab5c-d3ddf339107d","resolution":{"observed_at":"2026-08-14T14:14:42.956867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.939917Z","title":"4, 319–326","venue":null,"work_id":"686a4e56-06bd-419b-b77f-d71596b06410","year":1987},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.613559Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:6b2e665e0774212bae8b241ecf853f44c927c4182bbb87503091e8d75e802ad0","observation_id":"47d57c7e-5239-4868-bfaf-30b6824c4a2b","resolution":{"observed_at":"2026-08-14T14:14:42.944044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9701001","last_updated":"1997-01-01T13:55:07Z","snapshot_observed_at":"2026-08-14T04:45:39.636082Z","submitted_at":"1997-01-01T13:55:07Z","title":"Strengths and Weaknesses of Quantum Computing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9701001","snapshot_observed_at":"2026-08-14T14:14:41.617767Z","title":"Bennett, Ethan Bernstein, Gilles Brassard, and Umesh Vazirani, Strengths and weaknesses of quantum computing , SIAM Journal on Computing 26 (1997), no","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.617767Z"},"links":{"cited_paper":"/paper/quant-ph/9701001","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:718a02786e72877ddf65837298f736c0d43646a686ecd933d470e08dfc1b6464","observation_id":"6164c930-5c6c-46a0-b686-41380d84d157","resolution":{"observed_at":"2026-08-14T14:14:41.617767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1512.03806","last_updated":"2015-12-14T22:24:33Z","snapshot_observed_at":"2026-08-14T22:18:54.380979Z","submitted_at":"2015-12-11T20:59:16Z","title":"Quantum algorithms for simulated annealing","version":2},"cited_work":{"arxiv_id":"1512.03806","doi":null,"metadata_source":"pith","pith_arxiv_id":"1512.03806","snapshot_observed_at":"2026-08-14T14:14:42.435665Z","title":"Quantum algorithms for simulated annealing","venue":"quant-ph","work_id":"babca6d0-1b73-4871-84ca-2ee7a63743e6","year":2015},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.622550Z"},"links":{"cited_paper":"/paper/1512.03806","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:fb11e73807fa4df2716a96683e2fd9c99801545c5f0de1fe2c42f562048137d3","observation_id":"95ffc50f-0644-4469-8bfd-b5ffaa5068e1","resolution":{"observed_at":"2026-08-14T14:14:42.444195Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0005055","last_updated":"2000-05-15T18:19:59Z","snapshot_observed_at":"2026-07-07T07:03:25.387553Z","submitted_at":"2000-05-15T18:19:59Z","title":"Quantum Amplitude Amplification and Estimation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0005055","snapshot_observed_at":"2026-08-14T14:14:41.628582Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.628582Z"},"links":{"cited_paper":"/paper/quant-ph/0005055","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:cea51ff9392976437e30d9552dc17cce3f4857544e2ea35c8b14c3db65cae3e6","observation_id":"bb78bb18-4177-46f5-854b-9c86ed5d10eb","resolution":{"observed_at":"2026-08-14T14:14:41.628582Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9805082","last_updated":"1998-05-27T22:35:27Z","snapshot_observed_at":"2026-07-07T07:27:52.311088Z","submitted_at":"1998-05-27T22:35:27Z","title":"Quantum Counting","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9805082","snapshot_observed_at":"2026-08-14T14:14:41.632768Z","title":"820–831, 1998, arXiv:quant-ph/9805082","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.632768Z"},"links":{"cited_paper":"/paper/quant-ph/9805082","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:769773a63e2b815133a89c3f3423e58f4d61b0cbdfc06eb31fdd9fda9c8b4d36","observation_id":"12754c43-df4b-4896-ab48-eb3015a86cfc","resolution":{"observed_at":"2026-08-14T14:14:41.632768Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1809.01731","last_updated":"2019-12-18T06:07:23Z","snapshot_observed_at":"2026-08-14T18:33:16.258186Z","submitted_at":"2018-09-04T14:05:38Z","title":"Quantum algorithms and lower bounds for convex optimization","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.01731","snapshot_observed_at":"2026-08-14T14:14:41.637002Z","title":"Childs, Tongyang Li, and Xiaodi Wu,Quantum algorithms and lower bounds for convex optimization , 2018, arXiv:1809.01731","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.637002Z"},"links":{"cited_paper":"/paper/1809.01731","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:13c4f254ab1fdd9abd0a6f759f646977a4545b09140f59100b74563e03e5d142","observation_id":"b30ab5c1-597a-4009-ba5c-9cbae35e8525","resolution":{"observed_at":"2026-08-14T14:14:41.637002Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.11895","last_updated":"2022-09-13T10:33:31Z","snapshot_observed_at":"2026-08-14T16:40:53.981163Z","submitted_at":"2019-04-26T15:26:02Z","title":"Analog quantum algorithms for the mixing of Markov chains","version":3},"cited_work":{"arxiv_id":"1904.11895","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.11895","snapshot_observed_at":"2026-08-14T14:14:42.373322Z","title":"Analog quantum algorithms for the mixing of Markov chains","venue":"quant-ph","work_id":"5bfa5db7-4d33-47c3-9a44-ecb503831892","year":2019},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.640894Z"},"links":{"cited_paper":"/paper/1904.11895","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:b2d11d4fec8a1a55881c039b21fe1a6782728cb8f1c62aae95f9102581c1ef1e","observation_id":"ca2285a1-90e4-46d7-8cbb-b4d046b6fbbc","resolution":{"observed_at":"2026-08-14T14:14:42.377952Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0209131","last_updated":"2002-10-25T18:29:00Z","snapshot_observed_at":"2026-07-07T07:10:49.349306Z","submitted_at":"2002-09-24T18:43:37Z","title":"Exponential algorithmic speedup by quantum walk","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0209131","snapshot_observed_at":"2026-08-14T14:14:41.645174Z","title":"Childs, Richard Cleve, Enrico Deotto, Edward Farhi, Sam Gutmann, and Daniel A","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.645174Z"},"links":{"cited_paper":"/paper/quant-ph/0209131","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:5516a71b92d0298b597061e97fd44e111477ac0ec2581084fd32d0cc4953af23","observation_id":"3c69cc54-f419-4851-aa18-efa3d0d170cf","resolution":{"observed_at":"2026-08-14T14:14:41.645174Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1306.5829","last_updated":"2013-07-11T05:35:52Z","snapshot_observed_at":"2026-08-15T00:12:55.943203Z","submitted_at":"2013-06-25T02:04:58Z","title":"A Cubic Algorithm for Computing Gaussian Volume","version":2},"cited_work":{"arxiv_id":"1306.5829","doi":null,"metadata_source":"pith","pith_arxiv_id":"1306.5829","snapshot_observed_at":"2026-08-14T14:14:42.340416Z","title":"A Cubic Algorithm for Computing Gaussian Volume","venue":"cs.DS","work_id":"e76affed-6abe-42a2-8eae-c63585f7012f","year":2013},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.649595Z"},"links":{"cited_paper":"/paper/1306.5829","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:b58bf67ea766692404c811ed794ea675bba1bf8d2de3fc490384e7fb1b0cce93","observation_id":"51f43a1b-500d-43ae-bc8e-704e2b38a595","resolution":{"observed_at":"2026-08-14T14:14:42.344722Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.6011","last_updated":"2016-12-05T02:38:41Z","snapshot_observed_at":"2026-08-14T23:18:40.963086Z","submitted_at":"2014-09-21T16:33:53Z","title":"Gaussian Cooling and O*(n^3) Algorithms for Volume and Gaussian Volume","version":3},"cited_work":{"arxiv_id":"1409.6011","doi":null,"metadata_source":"pith","pith_arxiv_id":"1409.6011","snapshot_observed_at":"2026-08-14T14:14:42.320447Z","title":"Gaussian Cooling and O*(n^3) Algorithms for Volume and Gaussian Volume","venue":"cs.DS","work_id":"16c7ecdd-3937-4417-830a-78520235066b","year":2014},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.654637Z"},"links":{"cited_paper":"/paper/1409.6011","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:16e4518c496cdec7be66aa1597e4c3a31f7a85bb7ea50670375b53679075a15d","observation_id":"49fd622e-5472-4236-94ed-21fa3d9aa9f8","resolution":{"observed_at":"2026-08-14T14:14:42.326683Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0505030","last_updated":"2005-08-23T01:12:00Z","snapshot_observed_at":"2026-08-13T09:40:04.012975Z","submitted_at":"2005-05-06T00:55:45Z","title":"The Solovay-Kitaev algorithm","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0505030","snapshot_observed_at":"2026-08-14T14:14:41.659064Z","title":"Dawson and Michael A","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.659064Z"},"links":{"cited_paper":"/paper/quant-ph/0505030","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:87246850fb8aea1b0792eb6cc9f167f24d7fceabf734dfdc016d42ccd78eac93","observation_id":"e1e52066-6d6f-4929-ba43-898a2d0d8670","resolution":{"observed_at":"2026-08-14T14:14:41.659064Z","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":"2026-08-14T14:14:42.917093Z","title":null,"venue":null,"work_id":"72ed6f0b-eaac-4c7f-bd65-98e6f3842a63","year":1991},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.665028Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:15e39b987e680358304f37d618bbfc9b953ecbf140770c2395d695f40fb9ff08","observation_id":"0d432259-0047-4eb5-8015-cc4f029a6483","resolution":{"observed_at":"2026-08-14T14:14:42.922523Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.900359Z","title":null,"venue":null,"work_id":"dbbb93c4-7223-4224-af21-cd4d638c1624","year":1991},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.670575Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:7d821a6da093198b416f8784037bf7fc66d5d501215adc5951c023e6f1cee58d","observation_id":"dbe58e6d-fecb-40d6-b7fc-f0820a48fefc","resolution":{"observed_at":"2026-08-14T14:14:42.906250Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.884619Z","title":"Dyer and Alan M","venue":null,"work_id":"66699aef-27a1-45fe-9275-e39963de0e7f","year":1988},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.676847Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:e1cfed7780df1eafb7ac8d5be2e8f1c6651d7b11849589db8ecf56a580f44c4a","observation_id":"4073c83d-7073-4703-9f84-b461af40eaaf","resolution":{"observed_at":"2026-08-14T14:14:42.889202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.866662Z","title":"4, 289–292","venue":null,"work_id":"a98c2c26-7585-4bb1-a3f6-ba0590a54c47","year":1986},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.683626Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:05978cdda02317bf1555ec21397ba37feea8be11d82e22aa97d1640655f8c7c4","observation_id":"aefadd72-ce98-4a98-a3c6-65bfb68d928d","resolution":{"observed_at":"2026-08-14T14:14:42.871972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9706062","last_updated":"1998-03-20T20:46:44Z","snapshot_observed_at":"2026-07-07T07:26:55.458895Z","submitted_at":"1997-06-27T18:47:34Z","title":"Quantum Computation and Decision Trees","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9706062","snapshot_observed_at":"2026-08-14T14:14:41.688233Z","title":"2, 915–928, arXiv:quant-ph/9706062","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.688233Z"},"links":{"cited_paper":"/paper/quant-ph/9706062","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:efde016d0d8d9796d53fdff9a60c7e7a7fac90b8792e1e4a8bf9117a2df90b32","observation_id":"fa70fbd5-6ea7-4bc8-9f2b-2ef9e2a266f5","resolution":{"observed_at":"2026-08-14T14:14:41.688233Z","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":"2026-08-14T14:14:42.853511Z","title":"1, 14–26","venue":null,"work_id":"0bebc209-143f-4071-9895-2a881a9dcebc","year":1999},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.692684Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:21261c99dfea74e0c99b60e014bac769e0fad4fcef1439d85ca85c7e19f33733","observation_id":"dd9b5683-c82f-4204-9a21-4620e3f98e12","resolution":{"observed_at":"2026-08-14T14:14:42.858032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.838419Z","title":"2, Springer Science & Business Media, 2012","venue":null,"work_id":"c9601129-ba38-4722-b1e6-6abc5bc36093","year":2012},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.697280Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:41b378de8dcae3455b626720dc2ed50b94776b65bfbc53f5483868104715d471","observation_id":"3cdfc224-1c5f-41f8-8c82-2f148f672e9d","resolution":{"observed_at":"2026-08-14T14:14:42.842896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0208112","last_updated":"2002-08-15T23:00:04Z","snapshot_observed_at":"2026-08-11T09:53:13.384216Z","submitted_at":"2002-08-15T23:00:04Z","title":"Creating superpositions that correspond to efficiently integrable probability distributions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0208112","snapshot_observed_at":"2026-08-14T14:14:41.701119Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.701119Z"},"links":{"cited_paper":"/paper/quant-ph/0208112","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:80b7a5ccc96df45ba47e0658f622b5c22653185d022ccbce8d0b1e1be19e3aa6","observation_id":"e5c9480e-a3a7-44cf-96b1-2e664200478f","resolution":{"observed_at":"2026-08-14T14:14:41.701119Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0503205","last_updated":"2005-03-28T15:41:21Z","snapshot_observed_at":"2026-08-14T02:15:11.113397Z","submitted_at":"2005-03-28T15:41:21Z","title":"A different kind of quantum search","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0503205","snapshot_observed_at":"2026-08-14T14:14:41.705505Z","title":"Grover, A diﬀerent kind of quantum search , 2005, arXiv:quant-ph/0503205","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.705505Z"},"links":{"cited_paper":"/paper/quant-ph/0503205","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:7870afd04a355a78e416484158041c0fc712ac4b0c841877ac0f066fa0356be1","observation_id":"7e5de3eb-b211-434c-a1e8-58332d492acc","resolution":{"observed_at":"2026-08-14T14:14:41.705505Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.06456","last_updated":"2019-01-07T18:09:46Z","snapshot_observed_at":"2026-08-14T18:50:59.644775Z","submitted_at":"2018-07-17T14:09:38Z","title":"Quantum Chebyshev's Inequality and Applications","version":3},"cited_work":{"arxiv_id":"1807.06456","doi":null,"metadata_source":"pith","pith_arxiv_id":"1807.06456","snapshot_observed_at":"2026-08-14T14:14:42.245337Z","title":"Quantum Chebyshev's Inequality and Applications","venue":"quant-ph","work_id":"a83fc404-5742-4ae9-a4d3-8f2771ad7295","year":2018},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.709731Z"},"links":{"cited_paper":"/paper/1807.06456","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:2784fc6ed19e557fb09c63add28eb9a328b4e8a6f2ec2a8ce41e02d332806af3","observation_id":"0db0257b-dba8-4632-9094-bc136b922569","resolution":{"observed_at":"2026-08-14T14:14:42.249678Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.09965","last_updated":"2020-02-06T21:51:05Z","snapshot_observed_at":"2026-08-14T16:03:14.905507Z","submitted_at":"2019-07-23T15:38:06Z","title":"Adaptive Quantum Simulated Annealing for Bayesian Inference and Estimating Partition Functions","version":2},"cited_work":{"arxiv_id":"1907.09965","doi":null,"metadata_source":"pith","pith_arxiv_id":"1907.09965","snapshot_observed_at":"2026-08-14T14:14:42.223672Z","title":"Adaptive Quantum Simulated Annealing for Bayesian Inference and Estimating Partition Functions","venue":"quant-ph","work_id":"44a416ce-a97a-47b0-a702-94427c7e33da","year":2019},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.713982Z"},"links":{"cited_paper":"/paper/1907.09965","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:3b8e2029be4655aeb3575d1dc5c6fe85e0965528e29c11b6595586bd748571c7","observation_id":"ddd74163-cb20-40c2-8d1b-0a40c5a1329c","resolution":{"observed_at":"2026-08-14T14:14:42.228570Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.822495Z","title":"Kalai and Santosh Vempala, Simulated annealing for convex optimization , Mathe- matics of Operations Research 31 (2006), no","venue":null,"work_id":"cde3839c-483e-4afe-9cc6-3f5ce81186f5","year":2006},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.718377Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:2af309426e9f60c044b8ac2f9739ed19203e362f6dad6a3b755e253a20b9af90","observation_id":"87b532f3-732f-433b-82f3-3e6c45deaf57","resolution":{"observed_at":"2026-08-14T14:14:42.827503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.805723Z","title":null,"venue":null,"work_id":"bae1c19c-4cb0-40cb-8f6c-eb325e28b177","year":1997},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.722532Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:34fc87a3903e73b6f232d0de803f93d6d2c0aa592ec48bb0c0835698f0b46365","observation_id":"420e6fd7-c255-4217-b58d-903bb64694ab","resolution":{"observed_at":"2026-08-14T14:14:42.811259Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.788453Z","title":"Khachiyan, On the complexity of computing the volume of a polytope , Izvestia Akad","venue":null,"work_id":"ed0d6794-d573-4c40-8d18-1bd7873a0980","year":1988},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.727303Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:566539e02552cdbfc00b34037ca252587637bfc40938dcc64b9e3774b735ba98","observation_id":"eb8417dc-b995-44ab-8e44-a10ba560eecc","resolution":{"observed_at":"2026-08-14T14:14:42.793374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.776058Z","title":"Khachiyan, The problem of computing the volume of polytopes is NP-hard , Uspekhi Mat","venue":null,"work_id":"4f48881a-4059-4f31-bb3b-ab3bd64498c0","year":1989},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.731536Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:35b50cdbb0156390fd252cbbf92a45140b6b262f8ec8c32b61c81a9d5071dde1","observation_id":"a37e9ec4-34fc-47c3-b6ac-6ae3f9dc6866","resolution":{"observed_at":"2026-08-14T14:14:42.779906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1706.07357","last_updated":"2017-06-22T15:07:24Z","snapshot_observed_at":"2026-08-14T20:52:17.188167Z","submitted_at":"2017-06-22T15:07:24Z","title":"Efficient Convex Optimization with Membership Oracles","version":1},"cited_work":{"arxiv_id":"1706.07357","doi":null,"metadata_source":"pith","pith_arxiv_id":"1706.07357","snapshot_observed_at":"2026-08-14T14:14:42.204593Z","title":"Efficient Convex Optimization with Membership Oracles","venue":"cs.DS","work_id":"e2f72708-995b-4c2f-85fc-6926241437d4","year":2017},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.736341Z"},"links":{"cited_paper":"/paper/1706.07357","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:4b146ca3d74a6964068d89e35469a8a821e7f4faccbf8d74ee6e1e4dc564faa3","observation_id":"4b7a33f8-9b53-4d54-89bb-eaee78b2c6f1","resolution":{"observed_at":"2026-08-14T14:14:42.208957Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1508.04874","last_updated":"2015-11-05T07:04:31Z","snapshot_observed_at":"2026-08-14T22:35:54.120367Z","submitted_at":"2015-08-20T04:44:51Z","title":"A Faster Cutting Plane Method and its Implications for Combinatorial and Convex Optimization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1508.04874","snapshot_observed_at":"2026-08-14T14:14:41.742043Z","title":"1049–1065, 2015, arXiv:1508.04874","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.742043Z"},"links":{"cited_paper":"/paper/1508.04874","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:2615b7ec7d44b816f749ffc0b374a4f992c0b1e41df4865836e5bc58e1d56740","observation_id":"60e3b627-cd1e-43b6-842b-e6b37f79b2b2","resolution":{"observed_at":"2026-08-14T14:14:41.742043Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1612.01507","last_updated":"2019-01-27T04:40:54Z","snapshot_observed_at":"2026-08-14T21:27:02.972989Z","submitted_at":"2016-12-05T20:36:28Z","title":"Eldan's Stochastic Localization and the KLS Conjecture: Isoperimetry, Concentration and Mixing","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.01507","snapshot_observed_at":"2026-08-14T14:14:41.746570Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.746570Z"},"links":{"cited_paper":"/paper/1612.01507","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:81fbea0f7443eea8bdcba5428eff5f131525866c4d9e8a9cd8a6c6ad39904fdc","observation_id":"7d4eefca-eb0f-4074-ad94-2c99b6727516","resolution":{"observed_at":"2026-08-14T14:14:41.746570Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1710.06261","last_updated":"2017-10-17T13:30:27Z","snapshot_observed_at":"2026-08-14T20:22:57.202292Z","submitted_at":"2017-10-17T13:30:27Z","title":"Convergence Rate of Riemannian Hamiltonian Monte Carlo and Faster Polytope Volume Computation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.06261","snapshot_observed_at":"2026-08-14T14:14:41.750499Z","title":"Vempala, Convergence rate of Riemannian Hamiltonian Monte Carlo and faster polytope volume computation , Proceedings of the 50th Annual Symposium on Theory of Computing, pp","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.750499Z"},"links":{"cited_paper":"/paper/1710.06261","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:b4620ee553bceef9b19357b7218e8a9b528c1a88f0ffee9ea3a120143d9ba59c","observation_id":"964ab131-892a-4076-94c5-c2c3adbc8078","resolution":{"observed_at":"2026-08-14T14:14:41.750499Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.03465","last_updated":"2018-07-10T03:27:24Z","snapshot_observed_at":"2026-08-14T18:53:56.384588Z","submitted_at":"2018-07-10T03:27:24Z","title":"The Kannan-Lov\\'asz-Simonovits Conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.03465","snapshot_observed_at":"2026-08-14T14:14:41.754686Z","title":"Vempala, The Kannan-Lov´ asz-Simonovits conjecture, 2018, arXiv:1807.03465","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.754686Z"},"links":{"cited_paper":"/paper/1807.03465","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:18a3eb6a2a3483d80010cbe6624256c5284c44adb9bd3524a26facc200a093ce","observation_id":"e7d485ac-3bd5-469d-a2b2-269edf869fa0","resolution":{"observed_at":"2026-08-14T14:14:41.754686Z","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":"2026-08-14T14:14:42.760982Z","title":"Levin, Yuval Peres, and Elizabeth L","venue":null,"work_id":"f6b37564-600c-4a3d-9e0f-68dd05f40d32","year":2017},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.758677Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:cbba7e40fde30f49437c9cbafebc1391603e6e143758a47a80e08cbed8338d34","observation_id":"4ef68c7b-4cb6-4a25-87fa-51a26013db82","resolution":{"observed_at":"2026-08-14T14:14:42.765784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1710.06025","last_updated":"2017-10-16T23:08:16Z","snapshot_observed_at":"2026-08-14T20:23:09.857153Z","submitted_at":"2017-10-16T23:08:16Z","title":"Quantum query complexity of entropy estimation","version":1},"cited_work":{"arxiv_id":"1710.06025","doi":null,"metadata_source":"pith","pith_arxiv_id":"1710.06025","snapshot_observed_at":"2026-08-14T14:14:42.136832Z","title":"Quantum query complexity of entropy estimation","venue":"quant-ph","work_id":"07bfd5d4-c9ae-4466-bf9f-64cdd01c23ff","year":2017},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.762799Z"},"links":{"cited_paper":"/paper/1710.06025","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:6e9318bb956c4e43e428a18480cd0a9f19232a59383453431fd9b9d0ef28bfb6","observation_id":"994f0e60-3462-4774-b738-b686e8164fed","resolution":{"observed_at":"2026-08-14T14:14:42.140982Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.744977Z","title":"3, 443–461","venue":null,"work_id":"081eca36-cc30-46f5-be86-767dd89d35bb","year":1999},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.767059Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:67c519021e4666414d7eb09cd526c715bcd361e277631607fac6a228c9ebe9de","observation_id":"3c427c2b-60a8-4541-a2bb-7557f606686b","resolution":{"observed_at":"2026-08-14T14:14:42.751044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.728085Z","title":"346–354, 1990","venue":null,"work_id":"23004227-f9ef-43f8-bc67-c55e4c7cb84f","year":1990},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.771270Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:6a90c196c336eec49e45d2130a71d264d0925f57e8726f4eda20041fd668e7df","observation_id":"8763c173-fada-4532-8e61-d6758461b484","resolution":{"observed_at":"2026-08-14T14:14:42.733753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.709747Z","title":"4, 359–412","venue":null,"work_id":"dbe854f6-fd7d-4358-a346-61792f501889","year":1993},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.775575Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:1313e1684b21ecce8ca7e2eafc82538be7e52fffa7b6d96d10d44f11a332a3d1","observation_id":"da41a379-0c35-4f23-8071-5682b8397f85","resolution":{"observed_at":"2026-08-14T14:14:42.714315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.691294Z","title":"57–68, 2006","venue":null,"work_id":"04405702-6747-4025-ba94-949678f2c5fd","year":2006},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.779326Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:cca34c366a24782ffa037ac66772233c68b0b71f2a11f3660aa025864f2b6c7d","observation_id":"160455d3-9999-4400-b574-314d7b3ac2a6","resolution":{"observed_at":"2026-08-14T14:14:42.697839Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.676866Z","title":"4, 985–1005","venue":null,"work_id":"34475bbf-4e2c-48f7-83a9-813612265b24","year":2006},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.783378Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:51d410ce207660e26166b891ea6cc0f16776fe97075dc78c5189bcf91da613cd","observation_id":"968dbffa-32ec-487f-9a19-6a28da3e6146","resolution":{"observed_at":"2026-08-14T14:14:42.681433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.658036Z","title":"2, 392–417, prelimi- nary version in 44th Annual IEEE Symposium on Foundations of Computer Science, pp","venue":null,"work_id":"3a356db0-ba04-4ef6-9907-6377bbfd3c58","year":2006},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.787249Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:367bf7ce433b69f1e3b236be5921f3c71a23be04e881493bdc732c4eac82278a","observation_id":"799fe6eb-acb2-4987-a78f-aab3e5c8029e","resolution":{"observed_at":"2026-08-14T14:14:42.664648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.642574Z","title":"3, 307–358","venue":null,"work_id":"78e35a06-29c5-4a98-b42c-c2aa6398f8ee","year":2007},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.790961Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:81c2fb6f9780533eb075313aa152a6b51953cb3ed21c7179ac6a2b755cbae1d5","observation_id":"a5282cb3-80a0-4436-95fc-f207932fbdb2","resolution":{"observed_at":"2026-08-14T14:14:42.647023Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0608026","last_updated":"2011-02-14T21:10:39Z","snapshot_observed_at":"2026-08-10T18:01:44.497198Z","submitted_at":"2006-08-02T18:43:09Z","title":"Search via Quantum Walk","version":4},"cited_work":{"arxiv_id":"quant-ph/0608026","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/0608026","snapshot_observed_at":"2026-08-14T14:14:42.118225Z","title":"Search via Quantum Walk","venue":"quant-ph","work_id":"1ce803cf-c8ea-49ff-bf38-4e89f43715fd","year":2006},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.795207Z"},"links":{"cited_paper":"/paper/quant-ph/0608026","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:7dbfab2fac7edd04ef0ded29f60e3606a5efa5aac136152de0e8e614df590262","observation_id":"90dbbffa-5373-40b0-97eb-cfea42b285d0","resolution":{"observed_at":"2026-08-14T14:14:42.122464Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.629161Z","title":"2, 645–646","venue":null,"work_id":"c6d7d149-f5f6-47e0-86a3-a0470b65f311","year":1972},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.800569Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:2a4c25c2ef0cbee043fe47354beb9f9e3e1c74d79ab56b8802a7cd0feb8a300c","observation_id":"76ce3a8e-9cf4-4a7e-a4e2-08991d6d7043","resolution":{"observed_at":"2026-08-14T14:14:42.633125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1504.06987","last_updated":"2017-07-11T10:38:52Z","snapshot_observed_at":"2026-08-14T22:50:56.169553Z","submitted_at":"2015-04-27T09:23:02Z","title":"Quantum speedup of Monte Carlo methods","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1504.06987","snapshot_observed_at":"2026-08-14T14:14:41.804410Z","title":"2181, 20150301, arXiv:1504.06987","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.804410Z"},"links":{"cited_paper":"/paper/1504.06987","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:3c36fc09d924e63057ebe199c9ce58b32bbf960c6e5c9db47a55abac7a23b0ca","observation_id":"34d06bb8-15e5-41f0-864d-678407c72b4b","resolution":{"observed_at":"2026-08-14T14:14:41.804410Z","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":"2026-08-14T14:14:42.614861Z","title":"Muller, A note on a method for generating points uniformly on n-dimensional spheres, Communications of the ACM 2 (1959), no","venue":null,"work_id":"701f09b2-8e1c-467d-860c-531da907061c","year":1959},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.809276Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:dece60bccb9b7ee6e140ab73fab2e04d4442fd423c4e221ccd6dd24344e4f024","observation_id":"11b62d4c-b47e-4108-ad5d-28c2a1949ee2","resolution":{"observed_at":"2026-08-14T14:14:42.620324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1503.01334","last_updated":"2018-10-29T23:33:30Z","snapshot_observed_at":"2026-08-14T22:57:41.784927Z","submitted_at":"2015-03-04T15:07:07Z","title":"Faster quantum mixing for slowly evolving sequences of Markov chains","version":4},"cited_work":{"arxiv_id":"1503.01334","doi":null,"metadata_source":"pith","pith_arxiv_id":"1503.01334","snapshot_observed_at":"2026-08-14T14:14:42.088479Z","title":"Faster quantum mixing for slowly evolving sequences of Markov chains","venue":"quant-ph","work_id":"f50928aa-c94c-42f2-b0ec-c90f12ee395a","year":2015},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.812838Z"},"links":{"cited_paper":"/paper/1503.01334","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:e2cee980fe9d747ee29f1c6bfe6a7cfdc1c567c343498c3a2486f57101573fa5","observation_id":"a07e763d-930d-4c8d-aecb-0e255ba379b8","resolution":{"observed_at":"2026-08-14T14:14:42.093544Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"cs/0608054","last_updated":"2008-06-17T19:14:43Z","snapshot_observed_at":"2026-07-07T03:08:30.412291Z","submitted_at":"2006-08-12T23:31:07Z","title":"Dispersion of Mass and the Complexity of Randomized Geometric Algorithms","version":2},"cited_work":{"arxiv_id":"cs/0608054","doi":null,"metadata_source":"pith","pith_arxiv_id":"cs/0608054","snapshot_observed_at":"2026-08-14T14:14:42.067673Z","title":"Dispersion of Mass and the Complexity of Randomized Geometric Algorithms","venue":"cs.CC","work_id":"9ece0661-f0ae-4327-a8e9-0e1933238c7f","year":2006},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.816885Z"},"links":{"cited_paper":"/paper/cs/0608054","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:b346d6f480216e30ad6b539bb82eea6767dee5c58ea4222c6f8b7529058fb808","observation_id":"b1217d4c-a139-466c-b347-0242acb681f7","resolution":{"observed_at":"2026-08-14T14:14:42.073777Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0606202","last_updated":"2006-09-18T17:37:30Z","snapshot_observed_at":"2026-08-12T05:15:38.806120Z","submitted_at":"2006-06-24T01:09:57Z","title":"Almost uniform sampling via quantum walks","version":3},"cited_work":{"arxiv_id":"quant-ph/0606202","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/0606202","snapshot_observed_at":"2026-08-14T14:14:42.041617Z","title":"Almost uniform sampling via quantum walks","venue":"quant-ph","work_id":"6a4ff243-8184-499b-a3a7-1cb3150b5916","year":2006},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.821461Z"},"links":{"cited_paper":"/paper/quant-ph/0606202","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:4464a8aac085eba941510114c94eb21473bac03d265ac7b8eee045b21ad43906","observation_id":"69f9de6b-ee14-4e35-b114-fb7531e9a3fd","resolution":{"observed_at":"2026-08-14T14:14:42.046625Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0609204","last_updated":"2007-04-05T14:53:53Z","snapshot_observed_at":"2026-07-07T07:23:52.318400Z","submitted_at":"2006-09-26T20:52:12Z","title":"Quantum speedup of classical mixing processes","version":2},"cited_work":{"arxiv_id":"quant-ph/0609204","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/0609204","snapshot_observed_at":"2026-08-14T14:14:42.023523Z","title":"Quantum speedup of classical mixing processes","venue":"quant-ph","work_id":"bb3959fb-6eb1-4adc-8dfa-70486b6eb70a","year":2006},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.826370Z"},"links":{"cited_paper":"/paper/quant-ph/0609204","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:70ee634118ffd74e59b143a911110f0db2bb4ec20ee87e94930fbe2ec84685a6","observation_id":"7c45e415-a64e-41fa-bd13-a986b581f071","resolution":{"observed_at":"2026-08-14T14:14:42.028220Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/9608208","last_updated":"1996-08-19T00:00:00Z","snapshot_observed_at":"2026-07-07T06:07:36.294469Z","submitted_at":"1996-08-19T00:00:00Z","title":"Random vectors in the isotropic position","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/9608208","snapshot_observed_at":"2026-08-14T14:14:41.830175Z","title":"1, 60–72, arXiv:math/9608208","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.830175Z"},"links":{"cited_paper":"/paper/math/9608208","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:83b83c8ae0457d2c41f94c897a0496c8d20e8389fd188152256827b081a2b006","observation_id":"8c585ed2-a730-4054-b5c3-ef513d517379","resolution":{"observed_at":"2026-08-14T14:14:41.830175Z","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":"2026-08-14T14:14:42.598756Z","title":"3, McGraw-Hill, 1964","venue":null,"work_id":"02f09972-e95a-418a-a4ea-e4cebb469165","year":1964},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.834643Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:c1b0d387ce82b3b02e85c2fd4e82e04154295d3d8c35c732bd74ddf5be1992b2","observation_id":"56b7cc79-09bf-45f8-a83e-b7dadef2007d","resolution":{"observed_at":"2026-08-14T14:14:42.604846Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.579398Z","title":null,"venue":null,"work_id":"47e568ab-b7a8-406d-8f83-8e261d757ead","year":2014},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.838878Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:e1e167bb231f0e83551cbeafe2ef1cd214c020074ac514813a3250f60fb8e984","observation_id":"a1b91663-9892-4d23-9f05-761852db8897","resolution":{"observed_at":"2026-08-14T14:14:42.584462Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.560860Z","title":"Smith, Eﬃcient Monte Carlo procedures for generating points uniformly distributed over bounded regions, Operations Research 32 (1984), no","venue":null,"work_id":"b68d0079-aebd-4180-9879-5c0bdc3454c2","year":1984},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.842996Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:c394274437414ffb784738ef8710c6f9f7678ab3d2dc88cf262c958d8b81cd03","observation_id":"273a24f7-83c5-43f2-9cbd-69461f8bb788","resolution":{"observed_at":"2026-08-14T14:14:42.566222Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0712.1008","last_updated":"2007-12-06T19:46:43Z","snapshot_observed_at":"2026-07-06T01:32:48.382739Z","submitted_at":"2007-12-06T19:46:43Z","title":"Quantum Simulated Annealing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0712.1008","snapshot_observed_at":"2026-08-14T14:14:41.846783Z","title":"Somma, Sergio Boixo, and Howard Barnum, Quantum simulated annealing, 2007, arXiv:0712.1008","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.846783Z"},"links":{"cited_paper":"/paper/0712.1008","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:c68e94608d353767337ddd20050df276c067f5251533da0f4f3096b4ae24da71","observation_id":"3ef37ffd-bd88-4edc-8120-f699f61d919f","resolution":{"observed_at":"2026-08-14T14:14:41.846783Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0804.1571","last_updated":"2008-04-09T21:58:49Z","snapshot_observed_at":"2026-07-06T01:40:47.102055Z","submitted_at":"2008-04-09T21:58:49Z","title":"Quantum Simulations of Classical Annealing Processes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0804.1571","snapshot_observed_at":"2026-08-14T14:14:41.850876Z","title":"Somma, Sergio Boixo, Howard Barnum, and Emanuel Knill, Quantum simula- tions of classical annealing processes , Physical Review Letters 101 (2008), no","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.850876Z"},"links":{"cited_paper":"/paper/0804.1571","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:6c9f7cfbed275e505595de7c57ebc0501603f3dbf092d8bdd05b92a8cc9f9a7b","observation_id":"e65f9135-bd2b-4d16-b751-e7235f0b1ba4","resolution":{"observed_at":"2026-08-14T14:14:41.850876Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"cs/0612058","last_updated":"2006-12-10T20:00:38Z","snapshot_observed_at":"2026-07-07T03:09:10.785945Z","submitted_at":"2006-12-10T20:00:38Z","title":"Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting","version":1},"cited_work":{"arxiv_id":"cs/0612058","doi":null,"metadata_source":"pith","pith_arxiv_id":"cs/0612058","snapshot_observed_at":"2026-08-14T14:14:41.965174Z","title":"Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting","venue":"cs.DS","work_id":"86378b2c-ba3f-4c01-8a34-44e836051e6e","year":2006},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.855143Z"},"links":{"cited_paper":"/paper/cs/0612058","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:772f50b594142e5e84edf896669f7a64a9e733e656a7fb5eb7fbb1ad306d3058","observation_id":"c6a7cc9e-609c-411a-bc3e-57acde29ed4b","resolution":{"observed_at":"2026-08-14T14:14:41.972317Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T14:14:42.546116Z","title":"32–41, 2004","venue":null,"work_id":"97c381ff-009f-4b4a-8a73-0e18c06759ca","year":2004},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.859905Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:4accdaa88fd2aabda5e171325d51b1082273ffab6e30703783d41e6a37248b91","observation_id":"666f886d-2f59-4037-a3ce-6fbb8955db34","resolution":{"observed_at":"2026-08-14T14:14:42.551073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0911.3635","last_updated":"2010-10-04T11:31:36Z","snapshot_observed_at":"2026-08-13T20:58:28.005371Z","submitted_at":"2009-11-18T19:43:06Z","title":"Quantum Metropolis Sampling","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0911.3635","snapshot_observed_at":"2026-08-14T14:14:41.863760Z","title":"Osborne, Karl G","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.863760Z"},"links":{"cited_paper":"/paper/0911.3635","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:5396792651250ad1d810c034e93e57c78545ce7d464a25ecaa3ad50522da042f","observation_id":"d7ece824-ca90-4f5b-9115-8d68cd4f51dc","resolution":{"observed_at":"2026-08-14T14:14:41.863760Z","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":"2026-08-14T14:14:42.531785Z","title":"52, MSRI, 2005, pp","venue":null,"work_id":"8898a0c0-2f95-4870-b384-d4449fbef32c","year":2005},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.868002Z"},"links":{"citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:0873cc416d19a6f7e3aa2e580acbb4b235aaa6394b697c2bd966ee35d59577f3","observation_id":"92ee169f-4542-4d6d-a804-f4f301a5c7b2","resolution":{"observed_at":"2026-08-14T14:14:42.536803Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0804.4259","last_updated":"2008-09-08T22:39:54Z","snapshot_observed_at":"2026-07-06T01:37:49.066039Z","submitted_at":"2008-04-26T23:43:13Z","title":"Speed-up via Quantum Sampling","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0804.4259","snapshot_observed_at":"2026-08-14T14:14:41.871620Z","title":"4, 042336, arXiv:0804.4259","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.871620Z"},"links":{"cited_paper":"/paper/0804.4259","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:7692dce689da1e0d02676516562c4de3e7ebfaf1c3465e8987e238f5f53f7110","observation_id":"adf24b70-3210-48d1-964f-8c79db483cf7","resolution":{"observed_at":"2026-08-14T14:14:41.871620Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0811.0596","last_updated":"2009-04-16T08:20:18Z","snapshot_observed_at":"2026-07-06T01:45:37.676808Z","submitted_at":"2008-11-04T20:24:00Z","title":"Quantum Speed-up for Approximating Partition Functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0811.0596","snapshot_observed_at":"2026-08-14T14:14:41.875716Z","title":"2, 022340, arXiv:0811.0596","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.875716Z"},"links":{"cited_paper":"/paper/0811.0596","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:5313ed681ad463fa578e08e7b395faeeaab182e97f9668d8957b65b41bfb6507","observation_id":"513b782a-62d5-4225-a9f7-49a026a6d095","resolution":{"observed_at":"2026-08-14T14:14:41.875716Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1011.1468","last_updated":"2010-11-05T18:05:18Z","snapshot_observed_at":"2026-07-06T02:18:48.465477Z","submitted_at":"2010-11-05T18:05:18Z","title":"A Quantum-Quantum Metropolis Algorithm","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1011.1468","snapshot_observed_at":"2026-08-14T14:14:41.879377Z","title":"3, 754–759, arXiv:1011.1468","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies","version":3},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-14T14:14:41.879377Z"},"links":{"cited_paper":"/paper/1011.1468","citing_paper":"/paper/1908.03903"},"observation_digest":"sha256:3e2dfe22454333bc37db5e16914522dbbca7447decd501ee77d98b5dba7556d9","observation_id":"c226fa00-34b0-4c32-9df3-2a4e71c5b644","resolution":{"observed_at":"2026-08-14T14:14:41.879377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1908.03903","last_updated":"2021-11-01T15:27:03Z","latest_version":3,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-14T18:39:21.970469Z","submitted_at":"2019-08-11T13:13:47Z","title":"Quantum algorithm for estimating volumes of convex bodies"},"reference_resolution":{"displayed":67,"state_counts":{"malformed_identifier":0,"metadata_mismatch":6,"parse_uncertain":0,"unresolved":28,"verified_exact":9,"verified_fuzzy":24},"total_outbound_references":67},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:1908.03903."}