{"as_of":"2026-08-18T14:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:92c3b404c2b1bba0cbf111c69fad9faf9eedb756ae3af7da6a579718ecaf13a5","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T22:59:25.848061Z","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":"2026-05-16T17:38:10.820889Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.01679","snapshot_observed_at":"2026-08-11T22:59:25.848061Z","title":"Adachi, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.02995","last_updated":"2024-12-04T03:21:36Z","snapshot_observed_at":"2026-08-16T15:21:58.276260Z","submitted_at":"2024-12-04T03:21:36Z","title":"Tensor renormalization group study of (1+1)-dimensional O(3) nonlinear sigma model with and without finite chemical potential","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T22:59:25.848061Z"},"links":{"cited_paper":"/paper/2011.01679","citing_paper":"/paper/2412.02995"},"observation_digest":"sha256:6ed2481f82604d43d8eee0739ef12e7b0a43873ba1a9e5673270d53313599728","observation_id":"6d191e61-72a6-4544-8243-5832275d5f03","resolution":{"observed_at":"2026-08-11T22:59:25.848061Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.01679","snapshot_observed_at":"2026-08-10T15:26:12.055427Z","title":"Adachi, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.14086","last_updated":"2025-01-23T20:46:11Z","snapshot_observed_at":"2026-08-14T21:47:31.866852Z","submitted_at":"2025-01-23T20:46:11Z","title":"Grassmann Tensor Renormalization Group for two-flavor massive Schwinger model with a theta term","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T15:26:12.055427Z"},"links":{"cited_paper":"/paper/2011.01679","citing_paper":"/paper/2501.14086"},"observation_digest":"sha256:d146f0448ec082918f2f442b189f5b15022b379bdf28748824bfa0f07a6b65f1","observation_id":"6d07b89e-dc22-495e-a6d2-eb90095d8a87","resolution":{"observed_at":"2026-08-10T15:26:12.055427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.01679","snapshot_observed_at":"2026-08-10T14:29:53.122212Z","title":"Adachi, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.15352","last_updated":"2025-01-26T00:01:36Z","snapshot_observed_at":"2026-08-17T10:56:38.894538Z","submitted_at":"2025-01-26T00:01:36Z","title":"Tensor renormalization group study of the two-dimensional lattice U(1) gauge-Higgs model with a topological $\\theta$ term under L\\\"uscher's admissibility condition","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T14:29:53.122212Z"},"links":{"cited_paper":"/paper/2011.01679","citing_paper":"/paper/2501.15352"},"observation_digest":"sha256:b0729a15e4908732bd04683b7a859d3f352a5467b24e68dead532e425bfc1b5d","observation_id":"9601802d-bf0a-4d8d-bcba-31fc180bf8d6","resolution":{"observed_at":"2026-08-10T14:29:53.122212Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.01679","snapshot_observed_at":"2026-08-09T22:08:18.438500Z","title":"Adachi, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.18918","last_updated":"2025-01-31T06:42:27Z","snapshot_observed_at":"2026-08-15T00:41:39.679325Z","submitted_at":"2025-01-31T06:42:27Z","title":"Two-color lattice QCD in $(1+1)$ dimensions with Grassmann tensor renormalization group","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T22:08:18.438500Z"},"links":{"cited_paper":"/paper/2011.01679","citing_paper":"/paper/2501.18918"},"observation_digest":"sha256:02e581e2548028e83e5fd840fb7a354b1f096a2ec3fc3919520f2df21fa39d3c","observation_id":"2d1c8dad-5a79-4d1b-a1d6-10adc079363e","resolution":{"observed_at":"2026-08-09T22:08:18.438500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.01679","snapshot_observed_at":"2026-08-08T16:43:43.928667Z","title":"Adachi, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.06135","last_updated":"2025-02-10T03:51:12Z","snapshot_observed_at":"2026-08-09T03:33:30.289899Z","submitted_at":"2025-02-10T03:51:12Z","title":"Phase structure analysis of CP(1) model with $\\theta$ term by tensor renormalization group","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-08T16:43:43.928667Z"},"links":{"cited_paper":"/paper/2011.01679","citing_paper":"/paper/2502.06135"},"observation_digest":"sha256:e851478c7039b3bb609dfcdfa2d357069d72dc596d654ee69230c702223ec720","observation_id":"999274fb-4326-4d6c-a537-b931db23b230","resolution":{"observed_at":"2026-08-08T16:43:43.928667Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group","version":1},"cited_work":{"arxiv_id":"2011.01679","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2011.01679","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bond-weighted tensor renormalization group","venue":null,"work_id":"6a141969-0f79-46cb-a82a-0fa2643e4ac8","year":2022},"citing_paper":{"arxiv_id":"2601.02681","last_updated":"2026-04-03T10:43:37Z","snapshot_observed_at":"2026-08-14T02:14:24.781140Z","submitted_at":"2026-01-06T03:27:16Z","title":"Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-16T17:34:54.910650Z"},"links":{"cited_paper":"/paper/2011.01679","citing_paper":"/paper/2601.02681"},"observation_digest":"sha256:f394f886fb0c9f61177d43f935f307d46959db38f059c32608d84cf9e4ad358c","observation_id":"6bca50d4-77b2-4fcb-9a25-fd0b275baefb","resolution":{"observed_at":"2026-05-16T17:38:10.823119Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.01679","snapshot_observed_at":"2026-08-03T07:20:23.770247Z","title":"Adachi, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.20690","last_updated":"2026-06-18T15:36:24Z","snapshot_observed_at":"2026-08-14T10:19:06.704538Z","submitted_at":"2026-01-28T15:20:32Z","title":"Tensor renormalization group study of cold and dense QCD in the strong coupling limit","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T07:20:23.770247Z"},"links":{"cited_paper":"/paper/2011.01679","citing_paper":"/paper/2601.20690"},"observation_digest":"sha256:28337480169ebbd69f84d7904c9d89499397996b1def0434beb1b4d9f96ac883","observation_id":"3b9d4f68-9a21-4982-a74f-f98e14f2393a","resolution":{"observed_at":"2026-08-03T07:20:23.770247Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.01679","snapshot_observed_at":"2026-08-03T03:08:17.674616Z","title":"Adachi, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.08987","last_updated":"2026-06-07T07:57:33Z","snapshot_observed_at":"2026-08-13T11:11:05.523934Z","submitted_at":"2026-02-09T18:34:21Z","title":"Forward-mode automatic differentiation for the tensor renormalization group and its relation to the impurity method","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T03:08:17.674616Z"},"links":{"cited_paper":"/paper/2011.01679","citing_paper":"/paper/2602.08987"},"observation_digest":"sha256:006696db4527a819104740cb2f3d0eca496aa3dd551e0d368b8c7a3273f8f3ab","observation_id":"4e5f5e8d-5cae-4069-ab7b-65990f5e74fe","resolution":{"observed_at":"2026-08-03T03:08:17.674616Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.01679","snapshot_observed_at":"2026-08-02T23:39:49.188199Z","title":"Adachi, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.13124","last_updated":"2026-06-01T15:52:38Z","snapshot_observed_at":"2026-08-13T08:46:08.731855Z","submitted_at":"2026-02-13T17:21:17Z","title":"Deconfinement from Thermal Tensor Networks: Universal CFT signature in (2+1)-dimensional $\\mathbb{Z}_N$ lattice gauge theory","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-02T23:39:49.188199Z"},"links":{"cited_paper":"/paper/2011.01679","citing_paper":"/paper/2602.13124"},"observation_digest":"sha256:d5636ba0e1d62f43d594712d7ecaf54b80e668074c1c97becc7acd3982aad060","observation_id":"938e75ed-ba7b-41c0-b6c4-452f4d926314","resolution":{"observed_at":"2026-08-02T23:39:49.188199Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.01679","snapshot_observed_at":"2026-08-02T21:02:43.143744Z","title":"Adachi, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.21705","last_updated":"2026-06-10T09:06:12Z","snapshot_observed_at":"2026-08-14T11:34:17.630509Z","submitted_at":"2026-02-25T09:11:02Z","title":"Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-02T21:02:43.143744Z"},"links":{"cited_paper":"/paper/2011.01679","citing_paper":"/paper/2602.21705"},"observation_digest":"sha256:0bba121652434707fa2f077b510b79012aea3f7661bbebf06e00713f095ca71d","observation_id":"2f153c81-271a-489a-9373-bf87525fd466","resolution":{"observed_at":"2026-08-02T21:02:43.143744Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2011.01679/citation-record","integrity":"/paper/2011.01679/integrity","json":"/paper/2011.01679/citation-record.json","paper":"/paper/2011.01679"},"outbound":[],"paper":{"arxiv_id":"2011.01679","last_updated":"2020-11-03T13:08:54Z","latest_version":1,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-16T19:08:26.890533Z","submitted_at":"2020-11-03T13:08:54Z","title":"Bond-weighted Tensor Renormalization Group"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2011.01679."}