{"as_of":"2026-08-11T20:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:775557ee562ac15df46a915424fe7f32d08d326376d8fc565a082cd7b3f66997","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T14:29:53.117215Z","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":"2026-05-16T17:38:10.740196Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2407.10409","last_updated":"2024-09-20T04:55:32Z","snapshot_observed_at":"2026-08-11T17:09:59.298307Z","submitted_at":"2024-07-15T03:02:06Z","title":"Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\\theta=\\pi$ with L\\\"uscher's admissibility condition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.10409","snapshot_observed_at":"2026-08-10T14:29:53.117215Z","title":"Akiyama and Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.15352","last_updated":"2025-01-26T00:01:36Z","snapshot_observed_at":"2026-08-11T13:55:34.410073Z","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":14,"source":"pdf_text","source_observed_at":"2026-08-10T14:29:53.117215Z"},"links":{"cited_paper":"/paper/2407.10409","citing_paper":"/paper/2501.15352"},"observation_digest":"sha256:9e6485c8619dd48f4312149e2f02d8d74a0d69be96dbc3eb5bc34fb0673e7987","observation_id":"7e548618-4b72-469e-adc6-975eba609ee2","resolution":{"observed_at":"2026-08-10T14:29:53.117215Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.10409","last_updated":"2024-09-20T04:55:32Z","snapshot_observed_at":"2026-08-11T17:09:59.298307Z","submitted_at":"2024-07-15T03:02:06Z","title":"Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\\theta=\\pi$ with L\\\"uscher's admissibility condition","version":2},"cited_work":{"arxiv_id":"2407.10409","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.10409","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Tensor renormalization group study of (1 + 1)-dimensional U(1) gauge-Higgs model atθ =πwith L¨ uscher’s admissibility condition","venue":null,"work_id":"8081e43a-693e-42ec-824d-3d62d60ccdce","year":2024},"citing_paper":{"arxiv_id":"2601.02681","last_updated":"2026-04-03T10:43:37Z","snapshot_observed_at":"2026-08-11T04:04:29.021727Z","submitted_at":"2026-01-06T03:27:16Z","title":"Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-16T17:34:54.910650Z"},"links":{"cited_paper":"/paper/2407.10409","citing_paper":"/paper/2601.02681"},"observation_digest":"sha256:a46ae9b62d5d336b38cc2d15a52eaaf11c0f78bf217019d822d8e83dfc7c991c","observation_id":"a344b1f0-4c6f-40b7-8950-7399ea309496","resolution":{"observed_at":"2026-05-16T17:38:10.742523Z","resolver_source":"arxiv_id","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":"2407.10409","last_updated":"2024-09-20T04:55:32Z","snapshot_observed_at":"2026-08-11T17:09:59.298307Z","submitted_at":"2024-07-15T03:02:06Z","title":"Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\\theta=\\pi$ with L\\\"uscher's admissibility condition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.10409","snapshot_observed_at":"2026-08-03T07:20:23.871417Z","title":"Akiyama and Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.20690","last_updated":"2026-06-18T15:36:24Z","snapshot_observed_at":"2026-08-07T16:14:41.745851Z","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":51,"source":"pdf_text","source_observed_at":"2026-08-03T07:20:23.871417Z"},"links":{"cited_paper":"/paper/2407.10409","citing_paper":"/paper/2601.20690"},"observation_digest":"sha256:144877bf1034e13081024c114d89614b0079b4374f3454d2d016d12f7c5108b3","observation_id":"23e1608f-b084-4e12-9e65-623650996120","resolution":{"observed_at":"2026-08-03T07:20:23.871417Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.10409","last_updated":"2024-09-20T04:55:32Z","snapshot_observed_at":"2026-08-11T17:09:59.298307Z","submitted_at":"2024-07-15T03:02:06Z","title":"Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\\theta=\\pi$ with L\\\"uscher's admissibility condition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.10409","snapshot_observed_at":"2026-08-03T03:08:17.602377Z","title":"Akiyama and Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.08987","last_updated":"2026-06-07T07:57:33Z","snapshot_observed_at":"2026-08-07T17:51:04.647398Z","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":45,"source":"pdf_text","source_observed_at":"2026-08-03T03:08:17.602377Z"},"links":{"cited_paper":"/paper/2407.10409","citing_paper":"/paper/2602.08987"},"observation_digest":"sha256:e8c7b7eb35b8cb7f0a875f49f7d77082b2a8854db697c55cc69ccde687b08360","observation_id":"d10f02e0-11cf-4681-ad54-a99dc7f2c0bf","resolution":{"observed_at":"2026-08-03T03:08:17.602377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2407.10409/citation-record","integrity":"/paper/2407.10409/integrity","json":"/paper/2407.10409/citation-record.json","paper":"/paper/2407.10409"},"outbound":[],"paper":{"arxiv_id":"2407.10409","last_updated":"2024-09-20T04:55:32Z","latest_version":2,"primary_category":"hep-lat","snapshot_observed_at":"2026-08-11T17:09:59.298307Z","submitted_at":"2024-07-15T03:02:06Z","title":"Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\\theta=\\pi$ with L\\\"uscher's admissibility condition"},"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":"2026-08-11T06:34:44.6726+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 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2407.10409."}