{"as_of":"2026-08-12T22:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:91afa6f137f71eabc677ce91ab61b0be8a2d0bd02ffc90f2a3a0ff179f4c2513","coverage":[{"denominator":84,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":84,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T22:59:53.435744Z","state":"measured"},{"denominator":85,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":85,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T15:49:43.057049Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T09:50:58.412022Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"cited_work":{"arxiv_id":"2412.02974","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.02974","snapshot_observed_at":"2026-07-07T02:17:04.738344Z","title":"Todo, Markov chain monte carlo in tensor network representation (2024), arXiv:2412.02974 [cond-mat.stat- mech]","venue":null,"work_id":"80460b7b-e537-4786-ba3d-77d1fff2a197","year":2024},"citing_paper":{"arxiv_id":"2604.11155","last_updated":"2026-04-13T08:17:32Z","snapshot_observed_at":"2026-08-10T23:26:54.702543Z","submitted_at":"2026-04-13T08:17:32Z","title":"Tensor-Network Population Annealing","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:43.057049Z"},"links":{"cited_paper":"/paper/2412.02974","citing_paper":"/paper/2604.11155"},"observation_digest":"sha256:cfc504f33428526571d82607a2fb1216abb2d57b6cec183f8f68bd715e8816cc","observation_id":"bd0acafa-ccd7-4646-a741-48e0a1b56adb","resolution":{"observed_at":"2026-07-07T02:17:04.738344Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.02974/citation-record","integrity":"/paper/2412.02974/integrity","json":"/paper/2412.02974/citation-record.json","paper":"/paper/2412.02974"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.094145Z","title":"Newman and G","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.094145Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:25a90947b722b693cb09de2d3e0fea6c4fd8ced833fe39f4515f3403b3e4c366","observation_id":"b55d7115-9837-4057-a1e0-44c1f2c94e78","resolution":{"observed_at":"2026-08-11T22:59:53.094145Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.098406Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.098406Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:e17d2a12f7e7a56ef4899cf0d7f8d0db4db49aae85120e2a9a8c3820b6b776e7","observation_id":"2d598d9c-a250-48c7-98bd-65f6239e888a","resolution":{"observed_at":"2026-08-11T22:59:53.098406Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.102583Z","title":"Sokal, Monte Carlo Methods in Statistical Mechan- ics: Foundations and New Algorithms, in Functional In- tegration: Basics and Applications, edited by C","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.102583Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:ec244a99eb8fdd6939b6ef7406e0b6d34d4d42f5b49a06455656c12f07a0304d","observation_id":"d1bff574-0f67-4d14-bc69-65a19a79fc8e","resolution":{"observed_at":"2026-08-11T22:59:53.102583Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.107235Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.107235Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:3250de6290c5685451260f3cb602d7d6310988cd4e599eeaa55d3b4c362a8e20","observation_id":"485fd9cc-114f-4899-8463-52fa36d61540","resolution":{"observed_at":"2026-08-11T22:59:53.107235Z","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":"10.1063/5.0233858","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.465553Z","title":"Suwa and S","venue":null,"work_id":"4b4e21ae-4592-444c-92db-e97b9ffe4dc8","year":2024},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.111577Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:f78b13f2efaf41cf750cb1666dff9dd93d3975d6afd99bc914c331d2408f7f8f","observation_id":"c6fbe3b7-128b-4f30-b1a9-e0e784cbd4e3","resolution":{"observed_at":"2026-08-11T22:59:53.470564Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.115719Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.115719Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:b5b097b744cfbe8888f8a93057a83003c9ae0a7a41685d490d1df979f2ce6c57","observation_id":"6760d13e-4606-4d92-8650-9de31d6d1a00","resolution":{"observed_at":"2026-08-11T22:59:53.115719Z","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":"2026-08-11T22:59:54.386463Z","title":null,"venue":null,"work_id":"fbcfaf30-0afa-4f70-bce4-e93d4a3ace9a","year":1988},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.120328Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:e6b475b7bfb0633b2e8722859a60373b49040588995749e187b30000a6fc27ab","observation_id":"b5ceac2c-0417-4509-9a0c-788d070dba1a","resolution":{"observed_at":"2026-08-11T22:59:54.390399Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.373617Z","title":null,"venue":null,"work_id":"4882e449-bb1f-4268-8bf0-68866f8d8625","year":1991},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.124260Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:140cc9e1b51d9925a0a6504c3c86a488d9f589eb91780cccd4ba36ef9647a487","observation_id":"bdf7d438-6c3b-4589-bc2c-29c8b41a369d","resolution":{"observed_at":"2026-08-11T22:59:54.377766Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.128496Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.128496Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:df45baf6821b1c2e923e2b50b89a5445807c44e7c2ab2972480dcfda1175fa57","observation_id":"f39e015f-1c8f-4a2c-9ede-56a3e5d16317","resolution":{"observed_at":"2026-08-11T22:59:53.128496Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.132509Z","title":"Duane, A","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.132509Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:db3e6d7d33a83cb335ac348f6d4cfff268af25ecf08f7ac766b4e15ba8c4fe1e","observation_id":"f448dc7a-d1c8-4897-ba6a-ca8bb06130ae","resolution":{"observed_at":"2026-08-11T22:59:53.132509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.136415Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.136415Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:b73e5d6af67152aff8c4dbd41a595bbd63d18350108d32dc5831dabd4a0ff1b0","observation_id":"d03667f1-0ed4-4b2d-b2da-69614c796e98","resolution":{"observed_at":"2026-08-11T22:59:53.136415Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.140278Z","title":"Boninsegni, N","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.140278Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:9124df4c30f4703e570eed2f648482d7d7aa07646d2be3976a61f12f844ed8c8","observation_id":"8fb72469-b65e-4797-a76c-e4819f9a9747","resolution":{"observed_at":"2026-08-11T22:59:53.140278Z","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":"2026-08-11T22:59:54.328214Z","title":"Fr ´ ıas P´ erez, M","venue":null,"work_id":"e3872686-54f9-4f51-aa98-be82dcdc6b1f","year":2023},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.143708Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:24ae45d0aa231fd19db3ba63557b5a8e2e21e463601abdcdd854beb8d636d9d5","observation_id":"1eb9733d-3023-4ebf-99ae-e5d8e9e48017","resolution":{"observed_at":"2026-08-11T22:59:54.332084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.06538","last_updated":"2025-01-26T06:12:03Z","snapshot_observed_at":"2026-08-12T22:47:42.784809Z","submitted_at":"2024-09-10T14:13:33Z","title":"Tensor network Monte Carlo simulations for the two-dimensional random-bond Ising model","version":2},"cited_work":{"arxiv_id":"2409.06538","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.06538","snapshot_observed_at":"2026-08-11T22:59:53.609153Z","title":"Tensor network Monte Carlo simulations for the two-dimensional random-bond Ising model","venue":"cond-mat.stat-mech","work_id":"bf9628e9-ebdf-474b-943a-31d585bbff53","year":2024},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.147221Z"},"links":{"cited_paper":"/paper/2409.06538","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:d41c38b484b06bda8bd58c3dbc18524e37f79f000d1eee622f39e25a46b2e7c3","observation_id":"0a0514a3-35b2-418e-9bf7-4c9e1224401b","resolution":{"observed_at":"2026-08-11T22:59:53.613469Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.316041Z","title":"Janke, Multicanonical Monte Carlo simulations, Physica A: Statistical Mechanics and its Applications 254, 164 (1998)","venue":null,"work_id":"045c1a94-34ab-4e16-bf5b-6cb32247c7bc","year":1998},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.151649Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:d2a5ea3a80a450ce82bd0e312979cee663c6f8ad7b82b7568ab951400b4f65c6","observation_id":"8e071073-65a9-4def-9c70-0af0266d6756","resolution":{"observed_at":"2026-08-11T22:59:54.320216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.155271Z","title":"Hukushima and K","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.155271Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:786e62e7c3a0695ecc536006478d7dd15148638ec880b71cc99b591d34258e09","observation_id":"324c3134-afec-4fa3-a6b9-437e89b87449","resolution":{"observed_at":"2026-08-11T22:59:53.155271Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.158929Z","title":"Diaconis, S","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.158929Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:a878381eecbd2e28568ae3d2a600863c0b11c1c09e82dd5aaceb9d1852af69fd","observation_id":"06fedad1-7988-4cc4-9739-41889e821d90","resolution":{"observed_at":"2026-08-11T22:59:53.158929Z","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":"2026-08-11T22:59:54.286471Z","title":null,"venue":null,"work_id":"469f2f20-7ec2-479f-8dd6-d36814393bf1","year":2011},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.162824Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:0202cc4239b60670a211986353b148310e6a66baa335df77a37ca3783f6229ae","observation_id":"cb822ca0-3561-4fd8-acac-ed265c389469","resolution":{"observed_at":"2026-08-11T22:59:54.290716Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.167032Z","title":"Creutz, Overrelaxation and Monte Carlo simulation, Phys","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.167032Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:c69463bee818977ddfab11dd6b2b1a4d0b5c924d963846bf5c53ce64edfe35b6","observation_id":"1b48bc09-d8e4-43c2-ad51-0225f012c678","resolution":{"observed_at":"2026-08-11T22:59:53.167032Z","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":"2026-08-11T22:59:54.266796Z","title":"Suwa and S","venue":null,"work_id":"58c6baab-078e-40ae-a84d-4d5b27b9db8a","year":2010},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.171858Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:cf05664c29f93338bcdc82ea35d067ceab8b255dc107b660cd6cc798ff5030c2","observation_id":"5e56fa36-afcf-49dd-bf12-44c1633b2dd2","resolution":{"observed_at":"2026-08-11T22:59:54.270818Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.177221Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.177221Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:7cfa56a9367d3c46e34d286bdec3210f14fb50d2cdb9ba7e34c9acac55ed2704","observation_id":"956c9ba4-117e-42bf-834e-e9c30b0fdc5f","resolution":{"observed_at":"2026-08-11T22:59:53.177221Z","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":"2026-08-11T22:59:54.246226Z","title":"Michel, S","venue":null,"work_id":"f253c3b0-9e32-402a-ad75-b3a199c20af3","year":2014},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.181968Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:6512dc6571ea603c56ef9c13f27c53e980b8bab087c4d93a7135363fbf389449","observation_id":"47b8a33e-21b4-4b61-becf-d4d8e214f45a","resolution":{"observed_at":"2026-08-11T22:59:54.250496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.233407Z","title":"Hangleiter, I","venue":null,"work_id":"e08f4c71-65ca-4b94-9472-b4b1ce9973bb","year":2020},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.186405Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:4b27c610084df5fd4635b2ce14e0d1fa6c56c56262c04301add31e9f9ba1a41a","observation_id":"7c32c810-c497-4a35-a62b-56ee14e6b70a","resolution":{"observed_at":"2026-08-11T22:59:54.237747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.220191Z","title":"Klassen, M","venue":null,"work_id":"d1c37a7a-06ef-4b77-a80b-237c4118eff6","year":2020},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.190505Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:61b09e11fdc3851658787341c4e2b27d7274670a2c277a9a065432bb455d9544","observation_id":"a30f4f68-5bcb-4e5d-af0a-87ed02388eee","resolution":{"observed_at":"2026-08-11T22:59:54.224554Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.207643Z","title":"Levy and B","venue":null,"work_id":"ef4babf6-8c26-4596-b91e-53ca81eedb6e","year":2021},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.194436Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:d1b2fffdf9bb417d2fc127a2cbf567006204662d4265f524a6637062dcd56ffe","observation_id":"55ac35a9-f57c-453b-96e5-21ea892ad297","resolution":{"observed_at":"2026-08-11T22:59:54.211833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.196556Z","title":"Murota and S","venue":null,"work_id":"e99d20f7-268c-45b2-8728-c0eef10d988d","year":null},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.198828Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:ba6a604b7affc01cde8e85923aa4d53ee0abeac0a379c0944033cf80ca0f02d5","observation_id":"67d6f496-b081-4c70-b3ae-794abe8f432c","resolution":{"observed_at":"2026-08-11T22:59:54.200285Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.203081Z","title":"Wolff, Collective Monte Carlo Updating for Spin Sys- tems, Phys","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.203081Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:1b1ac83b0e7ec5900798cdc1ba53e9a5b0d342e08d6b3d4fc0b67ed9f4aeb061","observation_id":"336b341b-0957-4b2f-8ba2-8e4d434be1be","resolution":{"observed_at":"2026-08-11T22:59:53.203081Z","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":"2026-08-11T22:59:54.176766Z","title":"Wolff, Critical slowing down, Nuclear Physics B - Pro- ceedings Supplements 17, 93 (1990)","venue":null,"work_id":"4d08dc65-5a53-4eb2-8e54-88a066ca5633","year":1990},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.208203Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:301de581bbc5e27fc2100a4348e7929425c3bbe25ccb75b37cc6b468bb38ea52","observation_id":"f25d71d5-3cdf-4d25-9257-4ff0e14dc6a1","resolution":{"observed_at":"2026-08-11T22:59:54.181099Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.162228Z","title":"Hasenbusch, Improved estimators for a cluster up- dating of O(n) spin models, Nuclear Physics B 333, 581 (1990)","venue":null,"work_id":"b72a2e40-df58-4514-a498-90e879a8de4a","year":1990},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.212209Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:4350ad98082a3214657e526bdfc2748413068a7a7db05d121843212747c8ab5e","observation_id":"5a422363-5374-4bb7-9d62-86ca18615e3d","resolution":{"observed_at":"2026-08-11T22:59:54.166622Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.149318Z","title":"Niedermayer, Improving the improved estimator in O(N ) spin models, Physics Letters B 237, 473 (1990)","venue":null,"work_id":"8c86cf39-f1cf-4684-aa19-49b910cd8b82","year":1990},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.216161Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:28de35643c0e2c87b752d60e6bed0fcafdde70962d39f45ad1dcecd5a1a69370","observation_id":"afc7474f-532e-4de5-a1ba-69dfe373307a","resolution":{"observed_at":"2026-08-11T22:59:54.153872Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.136630Z","title":"Baker, George A","venue":null,"work_id":"1e864b6f-ceb5-47e7-ada0-0143b1b8f1a3","year":1995},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.220876Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:e45dce8b9f4770f07709be4da372675913421bf658e06664b5ae00301e135254","observation_id":"331b133c-245c-44e8-a42a-bad7998fa139","resolution":{"observed_at":"2026-08-11T22:59:54.140833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.123228Z","title":"Horita, H","venue":null,"work_id":"aa8fcb0a-dc9c-4e0b-bdec-35cdde937fac","year":2017},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.225343Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:511f6cede1de2ca0d2a64055e4a3300aa7aab87fcb44d2bdc33cb12f29833cdf","observation_id":"40433982-250a-4e0c-8b7e-c09c114a6eb7","resolution":{"observed_at":"2026-08-11T22:59:54.127655Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.109480Z","title":"Suwa, Lifted directed-worm algorithm, Phys","venue":null,"work_id":"957c3f7e-36ad-4bf5-9723-456807580291","year":2022},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.229557Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:9c1b8d37d3c78d3df2bc6005baed158f6524a9a63b03217c48dd67945ca8b085","observation_id":"b7015204-419b-44de-930e-82ee28604856","resolution":{"observed_at":"2026-08-11T22:59:54.114150Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.233074Z","title":"Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Annals of Physics 326, 96 (2011)","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.233074Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:d76cfd56d4a8843347177d9c23d2ecb31a893a94ed07c74cb42a020dad598170","observation_id":"33a8ec46-fedd-48ab-a829-ec2223083b6b","resolution":{"observed_at":"2026-08-11T22:59:53.233074Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.237633Z","title":"Or´ us, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of Physics 349, 117 (2014)","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.237633Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:82b126e2db652cd604d3dfb3c7e87c390b235c06c8692ed5f6ec857523ae7352","observation_id":"b009f9d8-9e32-4b4a-9823-a185b4ada2d2","resolution":{"observed_at":"2026-08-11T22:59:53.237633Z","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":"2026-08-11T22:59:54.081377Z","title":"Xiang, Density Matrix and Tensor Network Renormal- ization, 1st ed","venue":null,"work_id":"0f579248-c8c8-4391-b67f-26a82b1e1af8","year":2023},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.241741Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:abb66ee81212d65368a516c8e48003aaaa4f92249e7931064a6237dfaa9fb1a1","observation_id":"64a0e2f3-7e51-4ba5-a2f1-19eb77a7c3f9","resolution":{"observed_at":"2026-08-11T22:59:54.085571Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.246034Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.246034Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:362a42dfacb6bfa27854bac16ba0c3649305c8ec641d0f79f6cb1c7c5d2a4718","observation_id":"ef495ae8-caa4-436d-8dad-c05838837451","resolution":{"observed_at":"2026-08-11T22:59:53.246034Z","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":"2026-08-11T22:59:54.058555Z","title":"Nishino and K","venue":null,"work_id":"35260e63-a476-4a2b-bd8f-60ccd6080337","year":1996},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.249519Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:12e5220e90f1c53655425176ee41bfdbb1850bdc4fd6af1dd97bb449ec2e8c00","observation_id":"4c640810-6bd7-4ef0-8ae5-feec64ea2b51","resolution":{"observed_at":"2026-08-11T22:59:54.063759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:54.039796Z","title":"Levin and C","venue":null,"work_id":"3cd220d6-1627-4544-88f5-6f85a54b5720","year":2007},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.253708Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:8c1d5231522aa99514e59e99fbafff96b8c21706364f9cfe1c31debd0b4ae7be","observation_id":"e19a01d0-7066-4a03-94be-044f0475fb7f","resolution":{"observed_at":"2026-08-11T22:59:54.045500Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1605.05775","last_updated":"2017-05-18T18:03:45Z","snapshot_observed_at":"2026-08-11T11:28:26.612467Z","submitted_at":"2016-05-18T22:20:35Z","title":"Supervised Learning with Quantum-Inspired Tensor Networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.05775","snapshot_observed_at":"2026-08-11T22:59:53.257263Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.257263Z"},"links":{"cited_paper":"/paper/1605.05775","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:fc0b0aaff293bfba332987f2c8dd281f2440ff370e13974b734ecac925e69d6d","observation_id":"a8a6374d-e0c8-4ff4-bc14-869b0ed4cdff","resolution":{"observed_at":"2026-08-11T22:59:53.257263Z","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":"2026-08-11T22:59:54.025225Z","title":null,"venue":null,"work_id":"d5a0e2f1-ee01-418c-b7d4-d2f3cba8234b","year":2018},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.261307Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:d384f40377bf6feb5b56641b0b71152559a6b4c0dc8095e91abbbfce928907de","observation_id":"787c8806-5b23-4979-b34e-7bde1b9d3b49","resolution":{"observed_at":"2026-08-11T22:59:54.028851Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.264412Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.264412Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:9d5522ad03fce5cd100bbb27def71ee7df74ea83bbe956402a6b2a938ed89ce5","observation_id":"af97b1b7-8b67-4788-a61c-ae3445324fc5","resolution":{"observed_at":"2026-08-11T22:59:53.264412Z","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":"2026-08-11T22:59:54.006285Z","title":null,"venue":null,"work_id":"51b44d89-ee62-45a7-ac58-e785e9563ae5","year":2021},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.268532Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:55e231a8f16b7adae7b9faf4d55edcf125e266dd049a1c56dfe09eed5ccbef40","observation_id":"424fc201-239c-4879-89b2-72d26a3a79d7","resolution":{"observed_at":"2026-08-11T22:59:54.010202Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.03074","last_updated":"2021-03-04T14:55:15Z","snapshot_observed_at":"2026-08-05T00:31:20.909290Z","submitted_at":"2021-03-04T14:55:15Z","title":"Simulating the Sycamore quantum supremacy circuits","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.03074","snapshot_observed_at":"2026-08-11T22:59:53.273377Z","title":"Pan and P","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.273377Z"},"links":{"cited_paper":"/paper/2103.03074","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:4d1a37af8a6398519fcdffc31f1456a6f105c95b7c6955fbc465b8c7fc502f1a","observation_id":"31abb3f8-c4e3-4dd8-a096-e87a72c2b494","resolution":{"observed_at":"2026-08-11T22:59:53.273377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.01000","last_updated":"2023-03-22T10:16:39Z","snapshot_observed_at":"2026-08-01T19:37:20.725594Z","submitted_at":"2022-06-02T11:57:01Z","title":"Simulating quantum circuits using tree tensor networks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.01000","snapshot_observed_at":"2026-08-11T22:59:53.278309Z","title":"Seitz, I","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.278309Z"},"links":{"cited_paper":"/paper/2206.01000","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:ab18a484428ea998d3bfa24a1f3f06801946160816fbd21eee78b701fd2d3094","observation_id":"2f08794e-c3c5-435e-a182-3af366db955c","resolution":{"observed_at":"2026-08-11T22:59:53.278309Z","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":"2026-08-11T22:59:53.992517Z","title":"Ayral, T","venue":null,"work_id":"65dfc69b-254a-482e-bda5-4221cf3f76ab","year":2023},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.282969Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:42475d9c13bdbc4ec62746a9069cbb827b3cb27ec356e1d960c2b677c41adcdd","observation_id":"2ad390a7-8b10-46d6-b772-4475d95316ab","resolution":{"observed_at":"2026-08-11T22:59:53.996891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.286926Z","title":"Ye and N","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.286926Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:993eb60030b07652d9faa6730de9e5888ea13c9e167fc511d4c9ac9ee1cc31c4","observation_id":"8b484ea8-e60c-4483-a17e-ffec4075c16a","resolution":{"observed_at":"2026-08-11T22:59:53.286926Z","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":"2026-08-11T22:59:53.970297Z","title":"Gourianov, M","venue":null,"work_id":"bdb1fb22-148d-4553-a61b-35f275380c22","year":2022},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.290299Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:e38c4b10fd25db71407af987a1d2abeb8f63c66342b3160da5224d43c19b4483","observation_id":"e534a473-80fc-433d-b290-4b4f89981855","resolution":{"observed_at":"2026-08-11T22:59:53.974800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.10784","last_updated":"2023-05-23T15:22:04Z","snapshot_observed_at":"2026-08-12T14:29:26.264128Z","submitted_at":"2023-05-18T07:54:56Z","title":"Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.10784","snapshot_observed_at":"2026-08-11T22:59:53.294874Z","title":"Kornev, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.294874Z"},"links":{"cited_paper":"/paper/2305.10784","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:c0856be3cbcd867eb3334337ec039210cef561650461378fa0311ecc763f1ba2","observation_id":"021e17b3-0204-4a37-a0ab-7a2e0d5f3bd5","resolution":{"observed_at":"2026-08-11T22:59:53.294874Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.00701","last_updated":"2025-04-18T01:11:37Z","snapshot_observed_at":"2026-08-10T03:11:36.452592Z","submitted_at":"2024-04-17T01:57:19Z","title":"Learning parameter dependence for Fourier-based option pricing with tensor trains","version":8},"cited_work":{"arxiv_id":"2405.00701","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.00701","snapshot_observed_at":"2026-08-11T22:59:53.541242Z","title":"Learning parameter dependence for Fourier-based option pricing with tensor trains","venue":"q-fin.CP","work_id":"738a0b25-ee64-43f3-a85c-fa676f42a36b","year":2024},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.299877Z"},"links":{"cited_paper":"/paper/2405.00701","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:abce3a15a2571338d6fda5fdff16aa59f01a4d8ed9e3a4d72e816bba356a011e","observation_id":"4d5b5a3d-c98c-461f-9085-a997902351c9","resolution":{"observed_at":"2026-08-11T22:59:53.547007Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.954096Z","title":"Schutski, T","venue":null,"work_id":"be8da224-e2b7-4810-baff-88c79066ee08","year":2020},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.304524Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:687f5cc8a8fc8e1662163b2062de9681028746718ec628b7c73bde097b7e1482","observation_id":"0107074b-9b29-41d2-babc-ec826b831dfd","resolution":{"observed_at":"2026-08-11T22:59:53.958605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.07044","last_updated":"2023-10-05T23:00:42Z","snapshot_observed_at":"2026-08-12T13:04:29.924578Z","submitted_at":"2022-06-14T17:59:16Z","title":"Hyper-optimized approximate contraction of tensor networks with arbitrary geometry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.07044","snapshot_observed_at":"2026-08-11T22:59:53.308959Z","title":"Gray and G","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.308959Z"},"links":{"cited_paper":"/paper/2206.07044","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:4f94078e43a76486e1ecbb234b774b7d00a7dc1dfca6b53594a7001f534a1aeb","observation_id":"1bf2ed0b-c20a-493a-8220-c6d3c7b68451","resolution":{"observed_at":"2026-08-11T22:59:53.308959Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.313321Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.313321Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:b7b9ef8d29675223f772604eebb2da9492c00d375e9d3052768537ad9125069f","observation_id":"3dd25a0c-29b7-4981-97ad-aa0309f21c7e","resolution":{"observed_at":"2026-08-11T22:59:53.313321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.317396Z","title":"Adachi, T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.317396Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:390286f6ed287aae3f0c4a443060e53cf7d30db52ddbe161c904445c496fffd6","observation_id":"a365dad1-c200-476b-a9b4-3aaef1976864","resolution":{"observed_at":"2026-08-11T22:59:53.317396Z","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":"2026-08-11T22:59:53.916146Z","title":null,"venue":null,"work_id":"d2ecebb8-4e9a-470b-8868-a01bce1e0a49","year":2020},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.321145Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:1d2d807027a127834a3d3a4770c683338d06c5c4b2e4edfc9e64035f6b9a892a","observation_id":"695f3228-e922-4f96-9d16-54f79ccebf75","resolution":{"observed_at":"2026-08-11T22:59:53.923980Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1004.2563","last_updated":"2010-04-15T07:10:53Z","snapshot_observed_at":"2026-08-10T10:28:10.272970Z","submitted_at":"2010-04-15T07:10:53Z","title":"Grassmann tensor network states and its renormalization for strongly correlated fermionic and bosonic states","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1004.2563","snapshot_observed_at":"2026-08-11T22:59:53.325608Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.325608Z"},"links":{"cited_paper":"/paper/1004.2563","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:7452949de7b0ab7dd46e79371deeb6c6f689f1ebeaaeb7f2787bce28d8c1567b","observation_id":"cab5b432-c248-4df8-a054-72875ee8c374","resolution":{"observed_at":"2026-08-11T22:59:53.325608Z","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":"2026-08-11T22:59:53.903319Z","title":"Gu, Efficient simulation of Grassmann tensor prod- uct states, Phys","venue":null,"work_id":"6b82091e-33f1-4b82-9dc0-09ef82667cc9","year":2013},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.329676Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:4efd92984bc7de064ee36b684289d29dff0141f1c4083b5bad0af03d849c4bb0","observation_id":"3d1f90ea-1bb1-4a74-ad16-3db25535bb73","resolution":{"observed_at":"2026-08-11T22:59:53.907592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2005.07570","last_updated":"2021-10-24T06:22:14Z","snapshot_observed_at":"2026-08-11T03:00:47.429271Z","submitted_at":"2020-05-15T14:39:21Z","title":"More about the Grassmann tensor renormalization group","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.07570","snapshot_observed_at":"2026-08-11T22:59:53.333307Z","title":"Akiyama and D","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.333307Z"},"links":{"cited_paper":"/paper/2005.07570","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:2f884cbc8ff293059b756968b5e705e591384db762f4ca469b226a0a6c102cb0","observation_id":"0f533d58-7675-4de9-8dce-6a2ad9e976a9","resolution":{"observed_at":"2026-08-11T22:59:53.333307Z","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":"2026-08-11T22:59:53.890855Z","title":"Akiyama, Y","venue":null,"work_id":"2f323eac-22f6-43e7-8651-60ee2543bffc","year":2024},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.337122Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:d07c3e775bf4d1a2d0818da962ad0a0b138486491cff35cb0f5241ebb610c1c5","observation_id":"2e0db891-b82b-4999-be98-58a2d3574218","resolution":{"observed_at":"2026-08-11T22:59:53.894959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.341458Z","title":"Or´ us and G","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.341458Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:fa99eb917ff6417b8280759df02cba348bbfa37f40ca01a6a6c9889e7262cd9e","observation_id":"524c707d-a2cb-4f67-87e0-d5e9a65826fb","resolution":{"observed_at":"2026-08-11T22:59:53.341458Z","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":"2026-08-11T22:59:53.862440Z","title":null,"venue":null,"work_id":"a9338fc9-ae13-4bbe-8b82-3026ebd7a2cc","year":2009},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.345378Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:6f479695b2f22e7498774c8bf53aa6c9e4dc91c37fa7c9402022b5411a50cdd7","observation_id":"66484da5-8502-430f-a619-59e72de156b8","resolution":{"observed_at":"2026-08-11T22:59:53.867671Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.850308Z","title":"Adachi, T","venue":null,"work_id":"5535c8e5-e1cb-4d6b-af26-12dab0faed6c","year":2022},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.349763Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:05d3f219af54fc04cd856fe7cbebc9f379a6d40ecfced136a61477b40284e897","observation_id":"9c1dbeec-482b-4298-b871-6a14f86bbcc5","resolution":{"observed_at":"2026-08-11T22:59:53.854874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.353441Z","title":"Evenbly, Algorithms for tensor network renormaliza- tion, Phys","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.353441Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:512703c4db58fc9bf36bc5299fb85654a501944eca1e8b8fa4cad1ebd7f1a338","observation_id":"2b8d8ff0-53f7-4932-9d10-1b270a3356ad","resolution":{"observed_at":"2026-08-11T22:59:53.353441Z","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":"2026-08-11T22:59:53.831749Z","title":"Yang, Z.-C","venue":null,"work_id":"3b2fd914-661c-4124-aecc-80d71bd6bda2","year":2017},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.357000Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:9588e150ac73ae64a0683fca9448de680eb6e1657a7c28835a07c56fe23bef75","observation_id":"f4e4da7f-a125-4046-baef-fef66ac44cb0","resolution":{"observed_at":"2026-08-11T22:59:53.835298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.819090Z","title":"Hauru, C","venue":null,"work_id":"8183fa97-1fec-494d-af44-b0f6a0a77595","year":2018},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.361454Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:4ef5509f157f9b6de41359e8e8c5558f32b69a4a313bfba332094957e2107d63","observation_id":"83035060-04e1-473b-b573-1456b28770dc","resolution":{"observed_at":"2026-08-11T22:59:53.823001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.805715Z","title":"See Appendix B for rank-deficient cases","venue":null,"work_id":"bfd5f143-2e7a-4aa2-bbd3-d6e4a00a5402","year":null},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.366342Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:2bb3696a3ff2f8b38d5d660df775a63b18678dfe8c38282903cb409fb7de5ab2","observation_id":"c8cb96ba-17d5-4593-94eb-9a0c4c3e613c","resolution":{"observed_at":"2026-08-11T22:59:53.809802Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.370278Z","title":"Vidal, Efficient Simulation of One-Dimensional Quan- tum Many-Body Systems, Phys","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.370278Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:50a5b35b66a534944601e289e8811a8b1e0bc1b06171315e016c41b2fde6e483","observation_id":"109850e9-edb6-4c33-9f45-d6a8c23c6acf","resolution":{"observed_at":"2026-08-11T22:59:53.370278Z","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":"2026-08-11T22:59:53.781523Z","title":"Verstraete, J","venue":null,"work_id":"e42cf000-c90d-4282-8b4c-69043239a39b","year":2004},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.374611Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:61db959676084a17c890c8708e8e6a57db987324afefdd48dae3e4700033f5e5","observation_id":"63a3de3b-a8ff-4746-83cd-2b5eba68ebcb","resolution":{"observed_at":"2026-08-11T22:59:53.786469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1507.00767","last_updated":"2015-07-02T21:25:32Z","snapshot_observed_at":"2026-07-06T04:22:46.248705Z","submitted_at":"2015-07-02T21:25:32Z","title":"Unbiased Monte Carlo for the age of tensor networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1507.00767","snapshot_observed_at":"2026-08-11T22:59:53.379368Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.379368Z"},"links":{"cited_paper":"/paper/1507.00767","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:92f01c063a80b06bbb13245971861f8404bdc1fccedc6292387b4d9f6cd5c4bf","observation_id":"b868f564-5a03-430e-a3b9-1935622fc718","resolution":{"observed_at":"2026-08-11T22:59:53.379368Z","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":"2026-08-11T22:59:53.767862Z","title":"projector","venue":null,"work_id":"929d1255-ca4d-4193-aaf3-6953d2e445d1","year":null},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.384000Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:4ba8ed1f7253715e61916eb80b23cc67f5a89c4c76b9b325167b1af722b4366b","observation_id":"0cbdbfad-872e-4d93-904a-1580763f29e4","resolution":{"observed_at":"2026-08-11T22:59:53.772290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.754249Z","title":"Doucet, N","venue":null,"work_id":"052c448c-def3-48d7-a730-a7f860ae0ba4","year":2001},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.388319Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:349582e318607ed141ea7f8389d97a0229b5607bb7306402a68ca2a25fdcab00","observation_id":"9944c23e-a841-4812-8158-07672915ecbb","resolution":{"observed_at":"2026-08-11T22:59:53.758999Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.742516Z","title":"Arulampalam, N","venue":null,"work_id":"e7348302-7697-4c63-bc60-59239be35bed","year":2004},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.392233Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:1a9b7956ddd5cb48e74e738903b992cd1008d9aa59c3ef875feba167af10eb3f","observation_id":"bcc844c4-55d0-4872-8218-ad3a7856392b","resolution":{"observed_at":"2026-08-11T22:59:53.746349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.730953Z","title":"Metropolis, A","venue":null,"work_id":"f8067281-4303-4111-a80f-b07f48690d68","year":1953},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.395674Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:215308c6694ba5a405df9e7798f97ae97dec7a05ac437cd519820933e0b91727","observation_id":"524dcc98-d3be-48cb-b27b-1313b570a1d5","resolution":{"observed_at":"2026-08-11T22:59:53.734746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.398756Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.398756Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:8a7d51b5f883ab3482cf2f05a7bfbd9808a2a3c4d58c7a3ea199a64981b30cbe","observation_id":"d78eb650-cc8b-4d04-9842-4b0d97280292","resolution":{"observed_at":"2026-08-11T22:59:53.398756Z","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":"2026-08-11T22:59:53.711591Z","title":"Corboz, Variational optimization with infinite pro- jected entangled-pair states, Phys","venue":null,"work_id":"87d50443-704e-46bc-9e70-1abbda7ebfcd","year":2016},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.401947Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:abce5cf20e250abb4f94d6b6ce4c13cc5eab4dc91e07b1c893409782aa56f6bf","observation_id":"e9e8ee6f-bcf9-484d-abb9-5b20fcc61df7","resolution":{"observed_at":"2026-08-11T22:59:53.716487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.699259Z","title":"Morita and N","venue":null,"work_id":"023bcaea-67c3-4c1f-8f5c-1292fdec092f","year":2019},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.405408Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:e0c2b60f2d18272e48d263bc0908df7c62a0d1f4d5ca9f8ca566f86a81488c91","observation_id":"c00d843b-a9f8-4654-b56c-3b87de9ddea8","resolution":{"observed_at":"2026-08-11T22:59:53.703258Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.13998","last_updated":"2025-02-25T02:28:17Z","snapshot_observed_at":"2026-08-12T15:36:43.954282Z","submitted_at":"2024-11-21T10:23:46Z","title":"Multi-impurity method for the bond-weighted tensor renormalization group","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.13998","snapshot_observed_at":"2026-08-11T22:59:53.409281Z","title":"Morita and N","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.409281Z"},"links":{"cited_paper":"/paper/2411.13998","citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:d7e40198660c397e7e9f6bfbef49541338cf2bb9c88b8227dfa187a7d57a2cc3","observation_id":"43a1ed5a-98cc-401d-8395-5ed05dc7c4b4","resolution":{"observed_at":"2026-08-11T22:59:53.409281Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.412983Z","title":null,"venue":null,"work_id":null,"year":1941},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.412983Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:2f317b6fdbd2c11f115eb446426b72d32798e70f1a1c769ed3112f4f20adca8b","observation_id":"6d284555-cfe5-47b6-8f65-d1d2ec5ba223","resolution":{"observed_at":"2026-08-11T22:59:53.412983Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:59:53.416358Z","title":null,"venue":null,"work_id":null,"year":1952},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.416358Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:00e0fee04e379af97cc09da270c27366a733131f27607d7d127737a10383e0a8","observation_id":"5cbbfd17-a664-45c6-a65c-e14606e4916f","resolution":{"observed_at":"2026-08-11T22:59:53.416358Z","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":"2026-08-11T22:59:53.670979Z","title":"Gordon, D","venue":null,"work_id":"97e0d46b-5c5f-44a9-a744-b51784e04964","year":1993},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.419783Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:09a1d4651f7b1d4ad84fe08184f827bb14d04b1b626f2f86f22f4bf5b0091d07","observation_id":"2dd53cbe-6f2b-496b-93e4-abd94f9fd16d","resolution":{"observed_at":"2026-08-11T22:59:53.676490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.659555Z","title":null,"venue":null,"work_id":"67b850e0-3273-42cf-b7bb-deb658d73cce","year":2023},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.423642Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:723a73186da730b54b390de1c2b7952264bb824b62bad6e996aa0d07e24bbb8b","observation_id":"6f24199d-6bbb-465b-8415-4d5c08b92695","resolution":{"observed_at":"2026-08-11T22:59:53.663110Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.647106Z","title":"Halko, P","venue":null,"work_id":"10bd1ab6-3b2f-4b7c-9b91-5d49cd01ad19","year":2011},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.428021Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:a3bbe2a861c17e86f6e3963db457d97ec296636104503ab7f5d5932776f457f5","observation_id":"1861758d-0378-4abd-b604-6f19d69f2cb9","resolution":{"observed_at":"2026-08-11T22:59:53.651009Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.634973Z","title":"Morita, R","venue":null,"work_id":"aab6c791-889c-4159-a89b-75f260164263","year":2018},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.431906Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:0df177f49319d6a7b64366126029ccefc23dd360353d154f07ca1443ad8d60b3","observation_id":"554c70a1-a908-4e88-bf73-e49f14a64154","resolution":{"observed_at":"2026-08-11T22:59:53.638879Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:59:53.621992Z","title":null,"venue":null,"work_id":"64d258db-ba5d-4bf6-92de-3e179f169024","year":2003},"citing_paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:53.435744Z"},"links":{"citing_paper":"/paper/2412.02974"},"observation_digest":"sha256:99867e7c3cc96b1c3292ddffd1f1b37201e7e850906d4e359cd9f7132e433326","observation_id":"a472fee9-d7fa-48ca-b43f-fcdc18f93e8c","resolution":{"observed_at":"2026-08-11T22:59:53.626819Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.02974","last_updated":"2026-07-04T12:06:41Z","latest_version":2,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-11T22:52:11.255828Z","submitted_at":"2024-12-04T02:36:33Z","title":"Markov Chain Monte Carlo in Tensor Network Representation"},"reference_resolution":{"displayed":84,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":45,"verified_exact":3,"verified_fuzzy":36},"total_outbound_references":84},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 84 of 84 outbound references and 1 inbound Pith citation observation for arXiv:2412.02974."}