{"as_of":"2026-08-11T05:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:458193a5c39f84c84ab1d89a236e24ad65ceb7037f5648697b55fbb8d803f8e6","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T10:59:58.202440Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T11:04:54.051716Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2307.13151","last_updated":"2025-08-26T17:27:42Z","snapshot_observed_at":"2026-08-10T00:59:23.842317Z","submitted_at":"2023-07-24T22:36:41Z","title":"Quantitative multiscale operator-type approximations for asymptotically degenerating spectral problems","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.13151","snapshot_observed_at":"2026-08-09T10:59:58.202440Z","title":"Cooper, I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.02847","last_updated":"2025-04-04T12:41:10Z","snapshot_observed_at":"2026-08-10T16:21:06.291215Z","submitted_at":"2025-02-05T03:01:41Z","title":"Homogenization of the stochastic double-porosity model","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T10:59:58.202440Z"},"links":{"cited_paper":"/paper/2307.13151","citing_paper":"/paper/2502.02847"},"observation_digest":"sha256:93f76d347fb57c0c5877298ba329afb516f45f061c6736a11352bc77723e966b","observation_id":"2a016314-becc-4b7f-9293-a8d52b8a0f6e","resolution":{"observed_at":"2026-08-09T10:59:58.202440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.13151","last_updated":"2025-08-26T17:27:42Z","snapshot_observed_at":"2026-08-10T00:59:23.842317Z","submitted_at":"2023-07-24T22:36:41Z","title":"Quantitative multiscale operator-type approximations for asymptotically degenerating spectral problems","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.13151","snapshot_observed_at":"2026-08-06T20:32:28.432768Z","title":"Cooper, I","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.02638","last_updated":"2025-07-03T14:02:52Z","snapshot_observed_at":"2026-08-06T20:22:03.092977Z","submitted_at":"2025-07-03T14:02:52Z","title":"Homogenisation and spectral convergence of high-contrast convolution type operators","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T20:32:28.432768Z"},"links":{"cited_paper":"/paper/2307.13151","citing_paper":"/paper/2507.02638"},"observation_digest":"sha256:75588b5791ae68b2d0a38ee23de98ca8e130e19dadae0b018b330f913cc85bc2","observation_id":"a67c1571-3399-4e00-aae8-165347e5d55a","resolution":{"observed_at":"2026-08-06T20:32:28.432768Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.13151","last_updated":"2025-08-26T17:27:42Z","snapshot_observed_at":"2026-08-10T00:59:23.842317Z","submitted_at":"2023-07-24T22:36:41Z","title":"Quantitative multiscale operator-type approximations for asymptotically degenerating spectral problems","version":4},"cited_work":{"arxiv_id":"2307.13151","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.13151","snapshot_observed_at":"2026-08-06T11:04:54.051716Z","title":"Quantitative multiscale operator-type approximations for asymptotically degenerating spectral problems","venue":"math.AP","work_id":"57f6d304-7d97-4b50-92ea-d558c98891b9","year":2023},"citing_paper":{"arxiv_id":"2507.23380","last_updated":"2025-07-31T09:53:46Z","snapshot_observed_at":"2026-08-07T04:21:06.927749Z","submitted_at":"2025-07-31T09:53:46Z","title":"Quantitative homogenisation for differential equations with highly anisotropic partially degenerating coefficients","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T11:04:53.999128Z"},"links":{"cited_paper":"/paper/2307.13151","citing_paper":"/paper/2507.23380"},"observation_digest":"sha256:17f463d76d52c597fb05b8f6d17313e51ab361d977c73746141987592c741833","observation_id":"725fbf70-b775-46bc-8ddd-4da8e3b35a36","resolution":{"observed_at":"2026-08-06T11:04:54.057580Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2307.13151/citation-record","integrity":"/paper/2307.13151/integrity","json":"/paper/2307.13151/citation-record.json","paper":"/paper/2307.13151"},"outbound":[],"paper":{"arxiv_id":"2307.13151","last_updated":"2025-08-26T17:27:42Z","latest_version":4,"primary_category":"math.AP","snapshot_observed_at":"2026-08-10T00:59:23.842317Z","submitted_at":"2023-07-24T22:36:41Z","title":"Quantitative multiscale operator-type approximations for asymptotically degenerating spectral problems"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2307.13151."}