{"as_of":"2026-08-09T07:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b3b22f51fd00dcf6099970aed6f741b407b15ba32cd05f0d58e063cb30614a8e","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T16:39:14.122328Z","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":"2026-05-19T04:12:02.479992Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.06148","last_updated":"2025-02-20T18:38:08Z","snapshot_observed_at":"2026-07-06T20:03:38.451641Z","submitted_at":"2024-12-09T02:01:18Z","title":"The Computational Limits of State-Space Models and Mamba via the Lens of Circuit Complexity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.06148","snapshot_observed_at":"2026-08-08T16:39:14.122328Z","title":"The compu- tational limits of state-space models and mamba via the lens of circuit complexity","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06167","last_updated":"2025-02-10T05:36:30Z","snapshot_observed_at":"2026-08-09T01:42:08.911908Z","submitted_at":"2025-02-10T05:36:30Z","title":"Universal Approximation of Visual Autoregressive Transformers","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T16:39:14.122328Z"},"links":{"cited_paper":"/paper/2412.06148","citing_paper":"/paper/2502.06167"},"observation_digest":"sha256:950f09b49bb5cc6da7ef4efe2c6654a5bcf2e6c27f8b33be35c546591d330dd0","observation_id":"0b2ff850-b1c5-4df3-9ceb-d36b54960654","resolution":{"observed_at":"2026-08-08T16:39:14.122328Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.06148","last_updated":"2025-02-20T18:38:08Z","snapshot_observed_at":"2026-07-06T20:03:38.451641Z","submitted_at":"2024-12-09T02:01:18Z","title":"The Computational Limits of State-Space Models and Mamba via the Lens of Circuit Complexity","version":2},"cited_work":{"arxiv_id":"2412.06148","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.06148","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The computational limits of state-space models and mamba via the lens of circuit complexity","venue":null,"work_id":"f10ca6a3-917f-44e7-8d47-bae16b1ce21b","year":2024},"citing_paper":{"arxiv_id":"2507.12549","last_updated":"2026-04-28T23:40:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-07-16T18:01:26Z","title":"The Serial Scaling Hypothesis","version":4},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-19T04:08:11.344622Z"},"links":{"cited_paper":"/paper/2412.06148","citing_paper":"/paper/2507.12549"},"observation_digest":"sha256:86e2cf921c07b200aa8501051e576e61466ee6610761f6cf71bbd541256f3942","observation_id":"2443f7ff-636f-4f63-b216-6b89b4924ae7","resolution":{"observed_at":"2026-05-19T04:12:02.482283Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.06148/citation-record","integrity":"/paper/2412.06148/integrity","json":"/paper/2412.06148/citation-record.json","paper":"/paper/2412.06148"},"outbound":[],"paper":{"arxiv_id":"2412.06148","last_updated":"2025-02-20T18:38:08Z","latest_version":2,"primary_category":"cs.CC","snapshot_observed_at":"2026-07-06T20:03:38.451641Z","submitted_at":"2024-12-09T02:01:18Z","title":"The Computational Limits of State-Space Models and Mamba via the Lens of Circuit Complexity"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2412.06148."}