{"as_of":"2026-08-11T15:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:811fbcbbc1ef833136641b2cecb48b24b55825adc72c2d54e9bbaf735d1cd0bd","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":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T12:32:45.278454Z","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":"2026-05-16T17:38:10.785099Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"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":"2026-08-11T12:32:45.278454Z","title":"Adachi, T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.14104","last_updated":"2025-01-25T08:42:00Z","snapshot_observed_at":"2026-08-11T12:26:46.108107Z","submitted_at":"2024-12-18T17:50:18Z","title":"Applying the Triad network representation to four-dimensional ATRG method","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T12:32:45.278454Z"},"links":{"cited_paper":"/paper/1906.02007","citing_paper":"/paper/2412.14104"},"observation_digest":"sha256:8be7246ed403f7c083af4e89378b604574829d14e6ac96a1d689d41b5f558cc2","observation_id":"2be2bf46-4350-480c-ae6f-5d685932a07d","resolution":{"observed_at":"2026-08-11T12:32:45.278454Z","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":{"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":"2026-08-10T15:18:49.810247Z","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":"2026-08-11T06:57:34.024149Z","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:ffea5a039d49757859837dd984493e577adebf14ec816a93e30cd64b7fae3556","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":"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":"2026-08-05T11:53:05.045140Z","title":"Adachi, T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.02185","last_updated":"2025-09-02T10:48:21Z","snapshot_observed_at":"2026-08-06T23:19:32.698778Z","submitted_at":"2025-09-02T10:48:21Z","title":"Tensor renormalization group approach to entanglement entropy","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T11:53:05.045140Z"},"links":{"cited_paper":"/paper/1906.02007","citing_paper":"/paper/2509.02185"},"observation_digest":"sha256:f985efe04ff292cc872e7e89284ea9be42a034b9baaa3afbf19dee6fb4e72728","observation_id":"74020804-1b61-44e7-b764-29233c98fc62","resolution":{"observed_at":"2026-08-05T11:53:05.045140Z","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":"1906.02007","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1906.02007","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Anisotropic Tensor Renormalization Group","venue":null,"work_id":"5e75ff5d-307c-4299-b767-2ebbc737775c","year":2020},"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":56,"source":"pdf_text","source_observed_at":"2026-05-16T17:34:54.910650Z"},"links":{"cited_paper":"/paper/1906.02007","citing_paper":"/paper/2601.02681"},"observation_digest":"sha256:4f3da4ecef4208aa7a5cd9c507b48898cb71b30fa7c6bc791d49efd5dc5f6fa3","observation_id":"21191d68-5483-40ce-bdc8-82dea934f6bd","resolution":{"observed_at":"2026-05-16T17:38:10.787266Z","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":"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":"2026-08-03T07:20:23.756966Z","title":"Adachi, T","venue":null,"work_id":null,"year":2020},"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":26,"source":"pdf_text","source_observed_at":"2026-08-03T07:20:23.756966Z"},"links":{"cited_paper":"/paper/1906.02007","citing_paper":"/paper/2601.20690"},"observation_digest":"sha256:196fd57d4113a48781852392abcf0993e4a50ee808f89382e72ae9199353f1c4","observation_id":"3ebd1c2e-7ec6-4e5b-9b9f-142cc8901b57","resolution":{"observed_at":"2026-08-03T07:20:23.756966Z","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":"2026-08-03T03:08:17.662111Z","title":"Adachi, T","venue":null,"work_id":null,"year":2020},"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":53,"source":"pdf_text","source_observed_at":"2026-08-03T03:08:17.662111Z"},"links":{"cited_paper":"/paper/1906.02007","citing_paper":"/paper/2602.08987"},"observation_digest":"sha256:b46c876dc844f29d738b8c0bb3294a7cb2ca7e6cef0f057384a453583abf1d3b","observation_id":"a6fa36af-e235-4e67-b0be-0f1623c761f3","resolution":{"observed_at":"2026-08-03T03:08:17.662111Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1906.02007/citation-record","integrity":"/paper/1906.02007/integrity","json":"/paper/1906.02007/citation-record.json","paper":"/paper/1906.02007"},"outbound":[],"paper":{"arxiv_id":"1906.02007","last_updated":"2019-09-13T12:19:57Z","latest_version":2,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-10T01:05:08.129457Z","submitted_at":"2019-06-05T12:59:31Z","title":"Anisotropic 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":"2026-08-11T06:34:44.6726+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 7 inbound Pith citation observations for arXiv:1906.02007."}