{"as_of":"2026-08-11T08:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:719c7a527692249c5d5878a01863e18b4c505cdfca219bd702bb9e4fc5acd661","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T17:59:27.387225Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2501.11810/citation-record","integrity":"/paper/2501.11810/integrity","json":"/paper/2501.11810/citation-record.json","paper":"/paper/2501.11810"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2010.06539","last_updated":"2021-11-10T21:19:59Z","snapshot_observed_at":"2026-08-10T02:54:16.844522Z","submitted_at":"2020-10-13T16:46:34Z","title":"Tensor lattice field theory with applications to the renormalization group and quantum computing","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.06539","snapshot_observed_at":"2026-08-10T17:59:27.284325Z","title":"Meurice, R","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.284325Z"},"links":{"cited_paper":"/paper/2010.06539","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:5cc8189af11d56117979b75bce3f56d4ea8bfac5ea514e8713fb1b4424230a7f","observation_id":"87e91d12-8e5a-4a4f-8b56-d2f83f493dd7","resolution":{"observed_at":"2026-08-10T17:59:27.284325Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.10345","last_updated":"2022-05-24T10:07:04Z","snapshot_observed_at":"2026-08-04T14:26:46.832391Z","submitted_at":"2022-05-20T17:56:44Z","title":"Tensor Network Algorithms: a Route Map","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.10345","snapshot_observed_at":"2026-08-10T17:59:27.289847Z","title":"Bañuls,Tensor Network Algorithms: A Route Map, Ann","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.289847Z"},"links":{"cited_paper":"/paper/2205.10345","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:e7db2750648180658b6294e8c0382a0f494404aa0fa24b4b7900c33402c8c486","observation_id":"4b2eb3f5-e97a-46b3-b0c4-2bc16b0c56f1","resolution":{"observed_at":"2026-08-10T17:59:27.289847Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"cond-mat/0611687","last_updated":"2008-12-29T18:48:53Z","snapshot_observed_at":"2026-07-07T02:36:34.774179Z","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":"2026-08-10T17:59:27.297704Z","title":"Levin and C.P","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.297704Z"},"links":{"cited_paper":"/paper/cond-mat/0611687","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:f9de3bacd2c5875b18505cd2927b595a6be9847393815f4078dd0676d03a1ce9","observation_id":"9f095b22-5c9b-434f-8180-88d431829d3a","resolution":{"observed_at":"2026-08-10T17:59:27.297704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.13991","last_updated":"2023-03-12T06:07:14Z","snapshot_observed_at":"2026-07-06T13:46:41.015364Z","submitted_at":"2022-08-30T05:12:33Z","title":"Tensor renormalization group approach to (1+1)-dimensional SU(2) principal chiral model at finite density","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.13991","snapshot_observed_at":"2026-08-10T17:59:27.308142Z","title":"Luo and Y","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.308142Z"},"links":{"cited_paper":"/paper/2208.13991","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:70656e03250b2b95ded8fff217d86ed78be25ba4359de63c491f1f4c6f461c26","observation_id":"8ba09d57-ac82-4cca-9e72-9966631169d6","resolution":{"observed_at":"2026-08-10T17:59:27.308142Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.14220","last_updated":"2022-09-01T14:02:20Z","snapshot_observed_at":"2026-08-10T15:30:19.922946Z","submitted_at":"2021-07-29T17:53:50Z","title":"Phase structure of the CP(1) model in the presence of a topological $\\theta$-term","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.14220","snapshot_observed_at":"2026-08-10T17:59:27.313353Z","title":"Nakayama, L","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.313353Z"},"links":{"cited_paper":"/paper/2107.14220","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:a8efc1965cc204ae0dce1a91251a19160a11076c7593bb84812c302f1ea78cc8","observation_id":"0b381743-1a6a-4e32-966d-8729ca379553","resolution":{"observed_at":"2026-08-10T17:59:27.313353Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1808.08025","last_updated":"2019-06-25T11:48:56Z","snapshot_observed_at":"2026-08-10T03:18:37.161557Z","submitted_at":"2018-08-24T06:53:26Z","title":"Three-dimensional finite temperature Z$_2$ gauge theory with tensor network scheme","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.08025","snapshot_observed_at":"2026-08-10T17:59:27.318402Z","title":"Kuramashi and Y","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.318402Z"},"links":{"cited_paper":"/paper/1808.08025","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:383e961c49ec63d5ac1f202c617b77d1c90c6fe8030d10cb3ff2e6e591835461","observation_id":"2bb990c9-50c0-4cf7-ae38-6009e8e677f9","resolution":{"observed_at":"2026-08-10T17:59:27.318402Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.16763","last_updated":"2025-02-06T08:23:43Z","snapshot_observed_at":"2026-08-04T23:18:43.742217Z","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":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.16763","snapshot_observed_at":"2026-08-10T17:59:27.324524Z","title":"Yosprakob and K","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.324524Z"},"links":{"cited_paper":"/paper/2406.16763","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:2a47b41b25e9f903b40db0f2d5363c92b76a1727423db20aecb538d0d18e4df3","observation_id":"3f93cfbc-b0e2-4703-b4dd-37b6e6cf7043","resolution":{"observed_at":"2026-08-10T17:59:27.324524Z","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":"2407.14226","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:59:27.612792Z","title":"Nakayama and M","venue":null,"work_id":"dfc2a4bb-d80f-45f2-9bde-8f3986981cf1","year":2024},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.329786Z"},"links":{"citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:9af5f0876cfab725b19e77d5950b17c1ddc9a302bdb4fe872983ef8e7cf6bdf6","observation_id":"6d8b8eec-9f68-4682-a767-c2f5c738945c","resolution":{"observed_at":"2026-08-10T17:59:27.620607Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.09485","last_updated":"2025-03-30T16:31:06Z","snapshot_observed_at":"2026-08-10T14:49:44.118273Z","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":"2026-08-10T17:59:27.341560Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.341560Z"},"links":{"cited_paper":"/paper/2410.09485","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:52bda518a82569622cbb19ee84ae893a05cd1dbed2d6acf14a9cb19eee25695e","observation_id":"c4e852ed-d222-4def-a35f-d9deed6050b9","resolution":{"observed_at":"2026-08-10T17:59:27.341560Z","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":"2026-07-06T03:19:06.433164Z","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":"2026-08-10T17:59:27.347864Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.347864Z"},"links":{"cited_paper":"/paper/1307.6543","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:5c17aa0daba5c4ba49f93fb71aef82c42f71f6ddabae9e9639ffee6982df1350","observation_id":"7661bae9-c7c5-4d30-93e9-e64e600bfb99","resolution":{"observed_at":"2026-08-10T17:59:27.347864Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1002.1405","last_updated":"2010-04-27T00:51:14Z","snapshot_observed_at":"2026-07-06T02:06:41.087127Z","submitted_at":"2010-02-07T04:06:24Z","title":"Renormalization of tensor-network states","version":2},"cited_work":{"arxiv_id":"1002.1405","doi":null,"metadata_source":"pith","pith_arxiv_id":"1002.1405","snapshot_observed_at":"2026-08-10T17:59:27.504179Z","title":"Renormalization of tensor-network states","venue":"cond-mat.str-el","work_id":"845b92c4-4b0f-43c0-b9cb-52127e923e3e","year":2010},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.353509Z"},"links":{"cited_paper":"/paper/1002.1405","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:57de5ea5f0c7c714982b3bfd559f94892946b67192c432efee9f74f67654ad88","observation_id":"905ee022-06df-4d42-968e-0f84429f3b32","resolution":{"observed_at":"2026-08-10T17:59:27.511206Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1201.1144","last_updated":"2012-08-07T04:16:23Z","snapshot_observed_at":"2026-07-06T02:40:27.039484Z","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":"2026-08-10T17:59:27.358723Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.358723Z"},"links":{"cited_paper":"/paper/1201.1144","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:2775efd51407fff97532ae371e5e732d698046bc903d8648cc358092e4fa62aa","observation_id":"a8aeb04d-2a79-4143-8212-cb45192b491c","resolution":{"observed_at":"2026-08-10T17:59:27.358723Z","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":"2026-08-10T17:59:27.363641Z","title":"Sherwani,Algorithms for VLSI Physical Design Automation, Springer New York (1999), 10.1007/b116436","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.363641Z"},"links":{"citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:79924ab1ecb249a5ea56eae896b116d6fad823a25ae45d2c4dfe7d904f166ff4","observation_id":"1d7689e6-2654-431c-b5cc-32afad5b1be2","resolution":{"observed_at":"2026-08-10T17:59:27.363641Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.02351","last_updated":"2019-07-17T01:58:41Z","snapshot_observed_at":"2026-07-31T01:53:51.019126Z","submitted_at":"2019-05-07T04:55:07Z","title":"Boundary Tensor Renormalization Group","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.02351","snapshot_observed_at":"2026-08-10T17:59:27.368201Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.368201Z"},"links":{"cited_paper":"/paper/1905.02351","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:078417372687851cb428d3ce94fb21921e02390c563d20c9a2c7cff3a4d2ce82","observation_id":"196a47d5-e28b-4615-8a15-2b42d56c5ffb","resolution":{"observed_at":"2026-08-10T17:59:27.368201Z","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":"2026-08-10T01:05:08.129457Z","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":"2026-08-10T17:59:27.373052Z","title":"Adachi, T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.373052Z"},"links":{"cited_paper":"/paper/1906.02007","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:82905a0585f3bd79704e76462f810ca32d4c36be08920c3dd0a72a3efe9daf88","observation_id":"e4ce4b42-d242-40f8-a058-57f52108dc6e","resolution":{"observed_at":"2026-08-10T17:59:27.373052Z","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":"2026-08-10T17:59:27.736232Z","title":"Kaufman,Crystal statistics","venue":null,"work_id":"8cad711f-4ef5-4146-a8e8-e3379ea45b80","year":1949},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.378112Z"},"links":{"citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:9a0ef4241dbcf78bcbcee5896a3ae7ae37ac674e1f4c2b730421c4d945efbfe7","observation_id":"5effad1d-af49-487b-974d-6351c8af32ed","resolution":{"observed_at":"2026-08-10T17:59:27.741939Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.02414","last_updated":"2019-12-05T07:35:46Z","snapshot_observed_at":"2026-07-06T08:42:12.220605Z","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":"2026-08-10T17:59:27.382915Z","title":"Kadoh and K","venue":null,"work_id":null,"year":1912},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.382915Z"},"links":{"cited_paper":"/paper/1912.02414","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:55c8630692ab7a803cc02fab379c4d5a4e905d600589b068db24a4cce2ae083f","observation_id":"79b8b691-dccb-43bc-a416-5772df6769ee","resolution":{"observed_at":"2026-08-10T17:59:27.382915Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.14191","last_updated":"2023-07-26T13:44:56Z","snapshot_observed_at":"2026-08-10T03:45:29.528852Z","submitted_at":"2023-07-26T13:44:56Z","title":"Randomized higher-order tensor renormalization group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.14191","snapshot_observed_at":"2026-08-10T17:59:27.387225Z","title":"Nakayama,Randomized higher-order tensor renormalization group, 2307.14191","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T17:59:27.387225Z"},"links":{"cited_paper":"/paper/2307.14191","citing_paper":"/paper/2501.11810"},"observation_digest":"sha256:c8dca68453ead202898a4c96ffca48183b535d9ffaab6d7c9619b7694a0cab93","observation_id":"a49df955-dc61-4194-8964-67ad2b2a461c","resolution":{"observed_at":"2026-08-10T17:59:27.387225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2501.11810","last_updated":"2025-01-21T01:16:06Z","latest_version":1,"primary_category":"hep-lat","snapshot_observed_at":"2026-08-11T04:14:21.791898Z","submitted_at":"2025-01-21T01:16:06Z","title":"Initial tensor construction for the tensor renormalization group"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":2,"verified_fuzzy":1},"total_outbound_references":18},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2501.11810."}