{"as_of":"2026-08-21T15:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:271e3e34d8f2055481e3c02c5dd9083e7f120cf676dc113a7af01a928c19e77c","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T15:18:49.863076Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2501.14293/citation-record","integrity":"/paper/2501.14293/integrity","json":"/paper/2501.14293/citation-record.json","paper":"/paper/2501.14293"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"cond-mat/0611687","last_updated":"2008-12-29T18:48:53Z","snapshot_observed_at":"2026-08-15T10:55:23.448788Z","submitted_at":"2006-11-27T21:56:58Z","title":"Tensor renormalization group approach to 2D classical lattice models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"cond-mat/0611687","snapshot_observed_at":"2026-08-10T15:18:49.752629Z","title":"Levin and C.P","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.752629Z"},"links":{"cited_paper":"/paper/cond-mat/0611687","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:c6871f9a20efc21af1e5e26a276483538564670868e91cf8602a6dff2129c129","observation_id":"efd8efd5-5c5a-478a-b20b-414db70089d5","resolution":{"observed_at":"2026-08-10T15:18:49.752629Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.13092","last_updated":"2019-12-30T21:36:01Z","snapshot_observed_at":"2026-08-17T14:11:41.246955Z","submitted_at":"2019-12-30T21:36:01Z","title":"Investigation of complex $\\phi^{4}$ theory at finite density in two dimensions using TRG","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.13092","snapshot_observed_at":"2026-08-10T15:18:49.757486Z","title":"Kadoh, Y","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.757486Z"},"links":{"cited_paper":"/paper/1912.13092","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:c721417e22075fb8426cc4d457fd1826300ba8d96695da5f9bcb6e88441d5ab2","observation_id":"333bf89a-bfc2-4e5b-adce-cbfcab1ab580","resolution":{"observed_at":"2026-08-10T15:18:49.757486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2005.04645","last_updated":"2020-05-10T12:36:36Z","snapshot_observed_at":"2026-08-13T14:15:56.795784Z","submitted_at":"2020-05-10T12:36:36Z","title":"Tensor renormalization group approach to four-dimensional complex $\\phi^4$ theory at finite density","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.04645","snapshot_observed_at":"2026-08-10T15:18:49.761761Z","title":"Akiyama, D","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.761761Z"},"links":{"cited_paper":"/paper/2005.04645","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:fb685832fcdf80097769c498efef04ad8df876d71a6c9d038b032a15f151b246","observation_id":"70c013e2-d2ca-44f9-9e7f-dee60d082e68","resolution":{"observed_at":"2026-08-10T15:18:49.761761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.06953","last_updated":"2021-08-08T15:50:57Z","snapshot_observed_at":"2026-08-17T23:54:02.811355Z","submitted_at":"2021-01-18T09:29:30Z","title":"Phase transition of four-dimensional lattice $\\phi^4$ theory with tensor renormalization group","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.06953","snapshot_observed_at":"2026-08-10T15:18:49.766703Z","title":"Akiyama, Y","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.766703Z"},"links":{"cited_paper":"/paper/2101.06953","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:f68f3d1e8aa4a03377d7cbd833580f161da289954440e0659f97216e0936576c","observation_id":"fe566616-3f60-45ed-8719-316371eeb530","resolution":{"observed_at":"2026-08-10T15:18:49.766703Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1911.06480","last_updated":"2020-04-19T04:32:05Z","snapshot_observed_at":"2026-08-17T23:54:20.301609Z","submitted_at":"2019-11-15T05:15:08Z","title":"Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a $\\theta$ term","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.06480","snapshot_observed_at":"2026-08-10T15:18:49.771326Z","title":"Kuramashi and Y","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.771326Z"},"links":{"cited_paper":"/paper/1911.06480","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:ca69f4f5ac9cd150eb05c5096acae3bbb3a60fa41a5576f1dda571694a66ec20","observation_id":"a685175e-2b85-46bf-8b79-9b56e406a74b","resolution":{"observed_at":"2026-08-10T15:18:49.771326Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.14149","last_updated":"2021-07-29T16:15:39Z","snapshot_observed_at":"2026-08-16T18:06:34.473684Z","submitted_at":"2021-07-29T16:15:39Z","title":"Tensor network approach to 2D Yang-Mills theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.14149","snapshot_observed_at":"2026-08-10T15:18:49.776058Z","title":"Fukuma, D","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.776058Z"},"links":{"cited_paper":"/paper/2107.14149","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:8cbdf826c6bcd7455aab3729e265d3ee652111d4cf27328463f2ab1d6d94cea5","observation_id":"8e4edc8e-a445-41fc-b845-337a9b0c4f36","resolution":{"observed_at":"2026-08-10T15:18:49.776058Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.05800","last_updated":"2021-10-12T07:52:35Z","snapshot_observed_at":"2026-08-17T14:07:30.528959Z","submitted_at":"2021-10-12T07:52:35Z","title":"Tensor renormalization group and the volume independence in 2D U($N$) and SU($N$) gauge theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.05800","snapshot_observed_at":"2026-08-10T15:18:49.780608Z","title":"Hirasawa, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.780608Z"},"links":{"cited_paper":"/paper/2110.05800","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:8caaafeafac5ce9e679fd849d4874910354459c77b051d8b3a48c2da20e1fe19","observation_id":"5df7ea60-63f8-493d-9b42-7705fb6b5774","resolution":{"observed_at":"2026-08-10T15:18:49.780608Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.08883","last_updated":"2022-09-03T17:26:21Z","snapshot_observed_at":"2026-08-16T16:59:30.094931Z","submitted_at":"2022-05-18T12:16:21Z","title":"Toward tensor renormalization group study of three-dimensional non-Abelian gauge theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.08883","snapshot_observed_at":"2026-08-10T15:18:49.784873Z","title":"Kuwahara and A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.784873Z"},"links":{"cited_paper":"/paper/2205.08883","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:4d7c6ed480689520a368aa113c78437fce81a63d259401b6337a8398bcbb9e23","observation_id":"05370872-ec00-48a1-ace4-149c9e47b587","resolution":{"observed_at":"2026-08-10T15:18:49.784873Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1109.4470","last_updated":"2013-09-24T00:42:15Z","snapshot_observed_at":"2026-08-15T04:34:40.950103Z","submitted_at":"2011-09-21T04:12:23Z","title":"Efficient simulation of Grassmann Tensor Product States","version":2},"cited_work":{"arxiv_id":"1109.4470","doi":null,"metadata_source":"pith","pith_arxiv_id":"1109.4470","snapshot_observed_at":"2026-08-10T15:18:50.194317Z","title":"Efficient simulation of Grassmann Tensor Product States","venue":"cond-mat.str-el","work_id":"ec37da1c-08bc-4d88-8d61-9cac9c5ec0c2","year":2011},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.788667Z"},"links":{"cited_paper":"/paper/1109.4470","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:7057999b7bea0b5539eca5fe270be04467a8d3983912d919307fba4c9f1517b3","observation_id":"eccc9cd1-26fa-4269-8e5e-312e3a9b0890","resolution":{"observed_at":"2026-08-10T15:18:50.198622Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.08542","last_updated":"2024-01-16T18:06:23Z","snapshot_observed_at":"2026-08-17T23:56:02.622618Z","submitted_at":"2024-01-16T18:06:23Z","title":"Tensor Renormalization Group for fermions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.08542","snapshot_observed_at":"2026-08-10T15:18:49.792441Z","title":"Akiyama, Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.792441Z"},"links":{"cited_paper":"/paper/2401.08542","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:a1b82514801e2b9fbc6ec616f17e4d71fe85ebc285746040b1f1c6e3633fed84","observation_id":"4b6f8df7-88a5-4329-b987-8b1c41e9bedc","resolution":{"observed_at":"2026-08-10T15:18:49.792441Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1403.0642","last_updated":"2014-03-04T00:39:24Z","snapshot_observed_at":"2026-08-14T23:42:35.852727Z","submitted_at":"2014-03-04T00:39:24Z","title":"Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.0642","snapshot_observed_at":"2026-08-10T15:18:49.796073Z","title":"Shimizu and Y","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.796073Z"},"links":{"cited_paper":"/paper/1403.0642","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:6be203be7af4e667436be5b15fb768596018fcf8e7899e897099320ce02a78c7","observation_id":"26515652-e34d-4b2f-8633-1137217576cc","resolution":{"observed_at":"2026-08-10T15:18:49.796073Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.0897","last_updated":"2014-08-05T09:25:06Z","snapshot_observed_at":"2026-08-14T23:24:13.237828Z","submitted_at":"2014-08-05T09:25:06Z","title":"Critical behavior of lattice Schwinger model with topological term at $\\theta=\\pi$ using Grassmann tensor renormalization group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.0897","snapshot_observed_at":"2026-08-10T15:18:49.799659Z","title":"Shimizu and Y","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.799659Z"},"links":{"cited_paper":"/paper/1408.0897","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:3b3fa4e0573e388cecd5d3d5bef6a01b52c798744ac398acdff84cdec52e84fb","observation_id":"85469bdf-c44a-4d75-bf00-8dbf21ba6eb6","resolution":{"observed_at":"2026-08-10T15:18:49.799659Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.07808","last_updated":"2017-12-21T06:29:06Z","snapshot_observed_at":"2026-08-14T20:01:25.339449Z","submitted_at":"2017-12-21T06:29:06Z","title":"Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.07808","snapshot_observed_at":"2026-08-10T15:18:49.802840Z","title":"Shimizu and Y","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.802840Z"},"links":{"cited_paper":"/paper/1712.07808","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:121a15eebf36cbc2d64fc6ea7c844c7c6c5423005dbc0abfef9a28fcda6cb4ac","observation_id":"a18fd5f7-442a-4183-b4bc-a9f08fda1737","resolution":{"observed_at":"2026-08-10T15:18:49.802840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1201.1144","last_updated":"2012-08-07T04:16:23Z","snapshot_observed_at":"2026-08-15T04:23:44.415965Z","submitted_at":"2012-01-05T12:20:40Z","title":"Coarse-graining renormalization by higher-order singular value decomposition","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1201.1144","snapshot_observed_at":"2026-08-10T15:18:49.806047Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.806047Z"},"links":{"cited_paper":"/paper/1201.1144","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:59f2b83d7fca185283d57c7cafb6f4967474b864d95d2ae52d1a4adab4c5f3e9","observation_id":"4880522e-d1f2-4f23-a973-36d62ad0540f","resolution":{"observed_at":"2026-08-10T15:18:49.806047Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1906.02007","last_updated":"2019-09-13T12:19:57Z","snapshot_observed_at":"2026-08-14T16:20:31.206118Z","submitted_at":"2019-06-05T12:59:31Z","title":"Anisotropic Tensor Renormalization Group","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.02007","snapshot_observed_at":"2026-08-10T15:18:49.810247Z","title":"Adachi, T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.810247Z"},"links":{"cited_paper":"/paper/1906.02007","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:b78f67c7cd3e15096ef70c7caf6c9aeac608f420dec28a4d26b178c52484c301","observation_id":"4c55f72e-99d7-4240-8504-bb7851bf8bdc","resolution":{"observed_at":"2026-08-10T15:18:49.810247Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.02414","last_updated":"2019-12-05T07:35:46Z","snapshot_observed_at":"2026-08-17T23:54:08.054745Z","submitted_at":"2019-12-05T07:35:46Z","title":"Renormalization group on a triad network","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.02414","snapshot_observed_at":"2026-08-10T15:18:49.814340Z","title":"Kadoh and K","venue":null,"work_id":null,"year":1912},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.814340Z"},"links":{"cited_paper":"/paper/1912.02414","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:afcc7efb1c016dfdc81ce587158e536ae131c0814d3c0a5ed7fb9e92e2afcbb4","observation_id":"e9edd2dc-72f4-430a-8309-e50207a1b8c8","resolution":{"observed_at":"2026-08-10T15:18:49.814340Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.01422","last_updated":"2023-09-04T08:13:19Z","snapshot_observed_at":"2026-08-16T15:03:34.712672Z","submitted_at":"2023-09-04T08:13:19Z","title":"A new technique to incorporate multiple fermion flavors in tensor renormalization group method for lattice gauge theories","version":1},"cited_work":{"arxiv_id":"2309.01422","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.01422","snapshot_observed_at":"2026-08-10T15:18:50.104200Z","title":"A new technique to incorporate multiple fermion flavors in tensor renormalization group method for lattice gauge theories","venue":"hep-lat","work_id":"23bf8d1f-3825-47cb-8db3-0d8329c5e8e3","year":2023},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.818474Z"},"links":{"cited_paper":"/paper/2309.01422","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:3207f5d2061305a8e6eef23bfe47925dbd1aabde638c9da7818b5394b60597e7","observation_id":"fed5ae34-31d4-4da2-b8ba-d01237ce7dc0","resolution":{"observed_at":"2026-08-10T15:18:50.107920Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.02541","last_updated":"2024-06-14T05:57:00Z","snapshot_observed_at":"2026-08-16T14:45:57.366619Z","submitted_at":"2023-11-05T02:00:10Z","title":"Reduced tensor network formulation for non-Abelian gauge theories in arbitrary dimensions","version":3},"cited_work":{"arxiv_id":"2311.02541","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.02541","snapshot_observed_at":"2026-08-10T15:18:50.089251Z","title":"Reduced tensor network formulation for non-Abelian gauge theories in arbitrary dimensions","venue":"hep-th","work_id":"a8dd916b-dd54-484e-814f-0bf6d4011e70","year":2023},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.822276Z"},"links":{"cited_paper":"/paper/2311.02541","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:2479e2bddef67dd06ac7d6d7aecd38735a59ff6602fedbdec5d092168b47bd39","observation_id":"6fa9f44c-6c68-4598-a6ea-5c382e885b10","resolution":{"observed_at":"2026-08-10T15:18:50.093074Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.16763","last_updated":"2025-02-06T08:23:43Z","snapshot_observed_at":"2026-08-16T13:40:04.295431Z","submitted_at":"2024-06-24T16:21:02Z","title":"Tensor renormalization group study of the three-dimensional SU(2) and SU(3) gauge theories with the reduced tensor network formulation","version":3},"cited_work":{"arxiv_id":"2406.16763","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.16763","snapshot_observed_at":"2026-08-10T15:18:50.071140Z","title":"Tensor renormalization group study of the three-dimensional SU(2) and SU(3) gauge theories with the reduced tensor network formulation","venue":"hep-lat","work_id":"78d43d60-eba2-4d10-8826-aa42840aa9ce","year":2024},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.826347Z"},"links":{"cited_paper":"/paper/2406.16763","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:48a6befbfd1e6831366477df544e8fa832b408f3fca895b02016083973f8c408","observation_id":"9e9ce639-8720-4448-b5ce-795f5c7ecbfb","resolution":{"observed_at":"2026-08-10T15:18:50.075662Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2005.07570","last_updated":"2021-10-24T06:22:14Z","snapshot_observed_at":"2026-08-14T16:14:11.634744Z","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":"2026-08-10T15:18:49.830505Z","title":"Akiyama and D","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.830505Z"},"links":{"cited_paper":"/paper/2005.07570","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:310f70091293d1feaa7f11e6fa42f89a02de67deab13a2a81ff1d2820d26c0ba","observation_id":"181e2b08-e7e4-40cf-aa1f-5c93a1cc40b3","resolution":{"observed_at":"2026-08-10T15:18:49.830505Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1307.6543","last_updated":"2013-07-24T19:38:01Z","snapshot_observed_at":"2026-08-15T00:09:11.357103Z","submitted_at":"2013-07-24T19:38:01Z","title":"Exact blocking formulas for spin and gauge models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1307.6543","snapshot_observed_at":"2026-08-10T15:18:49.834568Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.834568Z"},"links":{"cited_paper":"/paper/1307.6543","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:6277cc4ff6a1f9be06589bb16b8778bab1f6622f932c698090b7f6f545996ab3","observation_id":"72e82dad-5288-4c03-82b9-d941a30a458d","resolution":{"observed_at":"2026-08-10T15:18:49.834568Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.16167","last_updated":"2023-12-26T18:55:49Z","snapshot_observed_at":"2026-08-16T14:31:31.750440Z","submitted_at":"2023-12-26T18:55:49Z","title":"Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.16167","snapshot_observed_at":"2026-08-10T15:18:49.838393Z","title":"Asaduzzaman, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.838393Z"},"links":{"cited_paper":"/paper/2312.16167","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:60483d9337bf01a251840a812014e82cf5a3d6bf881a9650e94d02d68d70dbd6","observation_id":"b772614f-251e-4eda-af87-78018cd670a1","resolution":{"observed_at":"2026-08-10T15:18:49.838393Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.09485","last_updated":"2025-03-30T16:31:06Z","snapshot_observed_at":"2026-08-16T13:10:04.367800Z","submitted_at":"2024-10-12T10:45:44Z","title":"Grassmann tensor renormalization group approach to $(1+1)$-dimensional two-color lattice QCD at finite density","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.09485","snapshot_observed_at":"2026-08-10T15:18:49.842215Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.842215Z"},"links":{"cited_paper":"/paper/2410.09485","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:55d7810ff88c600f21cb1acc39e163ee71c484c4d887dddf4d3d9eee1e59a00b","observation_id":"11c5c352-cf85-4aa8-a0fb-85c306508901","resolution":{"observed_at":"2026-08-10T15:18:49.842215Z","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":"2026-08-10T15:18:49.846991Z","title":"Kanno, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.846991Z"},"links":{"citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:acbee6ea38f90441a68872c73c99e2270f07b7fd3cae0167c620192116ca615a","observation_id":"c6d545b0-2cfe-4e81-a634-7ad875501073","resolution":{"observed_at":"2026-08-10T15:18:49.846991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.01473","last_updated":"2023-08-31T23:39:42Z","snapshot_observed_at":"2026-08-16T15:43:00.782586Z","submitted_at":"2023-04-04T02:29:32Z","title":"Matrix product decomposition for two- and three-flavor Wilson fermions: Benchmark results in the lattice Gross-Neveu model at finite density","version":2},"cited_work":{"arxiv_id":"2304.01473","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.01473","snapshot_observed_at":"2026-08-10T15:18:49.911066Z","title":"Matrix product decomposition for two- and three-flavor Wilson fermions: Benchmark results in the lattice Gross-Neveu model at finite density","venue":"hep-lat","work_id":"4cc41932-2c5a-4666-a7a1-1dfa7b6efa0c","year":2023},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.850870Z"},"links":{"cited_paper":"/paper/2304.01473","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:a9a459f213d62c37663f51e0bb7c320558f05d5b91f48d1484ff4e099d6e5c5a","observation_id":"1cd5bae5-1977-48a4-a1ff-4b549d09a264","resolution":{"observed_at":"2026-08-10T15:18:49.916072Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-10T15:18:50.322842Z","title":"De Lathauwer, B","venue":null,"work_id":"bd2d6ab6-02ff-420e-8280-4c171120c93c","year":2000},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.854764Z"},"links":{"citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:23e6735f791ceb6415dd48563aa64362b60b11933e61326523c32c2f97257da5","observation_id":"834fdbdb-7721-4278-9c36-37d04f48bed2","resolution":{"observed_at":"2026-08-10T15:18:50.326407Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.07557","last_updated":"2023-10-07T11:54:48Z","snapshot_observed_at":"2026-08-17T23:53:40.625783Z","submitted_at":"2023-09-14T09:39:57Z","title":"GrassmannTN: a Python package for Grassmann tensor network computations","version":3},"cited_work":{"arxiv_id":"2309.07557","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.07557","snapshot_observed_at":"2026-08-10T15:18:49.893217Z","title":"GrassmannTN: a Python package for Grassmann tensor network computations","venue":"hep-lat","work_id":"f60e9517-f7b0-449a-ab43-4dd0695a49af","year":2023},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.858545Z"},"links":{"cited_paper":"/paper/2309.07557","citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:d19fd44d398f9d886ed18bc76ddb7b83a73b7451d1acbd5c6b13205fbdb96915","observation_id":"d7116497-58a7-493e-89eb-9e7968202030","resolution":{"observed_at":"2026-08-10T15:18:49.899021Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-10T15:18:50.312006Z","title":null,"venue":null,"work_id":"f23ed284-97bd-4797-b7c1-ab6f5c9e2c22","year":1993},"citing_paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T15:18:49.863076Z"},"links":{"citing_paper":"/paper/2501.14293"},"observation_digest":"sha256:f86305493a4de3cfdc6a47d2ef3ff283050da087c71824fd115f1cb10ad92b4e","observation_id":"03601e84-7d7d-4f03-baaf-2a8014cfb95a","resolution":{"observed_at":"2026-08-10T15:18:50.315579Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.14293","last_updated":"2025-01-24T07:16:14Z","latest_version":1,"primary_category":"hep-lat","snapshot_observed_at":"2026-08-20T06:29:32.182919Z","submitted_at":"2025-01-24T07:16:14Z","title":"Toward tensor renormalization group study of lattice QCD"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":6,"verified_fuzzy":1},"total_outbound_references":28},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2501.14293."}