{"as_of":"2026-08-13T06:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:31484e0b9a72270f807068693366cdb52778b908dec74ae3f3b035d9d72346af","coverage":[{"denominator":8,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T20:53:40.947400Z","state":"measured"},{"denominator":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2508.09824/citation-record","integrity":"/paper/2508.09824/integrity","json":"/paper/2508.09824/citation-record.json","paper":"/paper/2508.09824"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:53:41.326315Z","title":"By Bernstein-type bounds for sub-exponential random variables, when d = Ω p log(1/δ) , we have: ∥W(0) V ∥2 F ≤ 2d2σ2 1, with probability at least 1 − δ/8","venue":null,"work_id":"dc148718-f9ef-40ce-8ab7-3f97c38fc897","year":2019},"citing_paper":{"arxiv_id":"2508.09824","last_updated":"2025-08-15T01:40:46Z","snapshot_observed_at":"2026-08-12T10:20:13.646466Z","submitted_at":"2025-08-13T13:56:01Z","title":"Reverse Convolution and Its Applications to Image Restoration","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T20:53:40.830884Z"},"links":{"citing_paper":"/paper/2508.09824"},"observation_digest":"sha256:b845957cff9c5404679ca93c94c0570a57783bbfab05f40f6c795e9c68be09d9","observation_id":"5d64085d-8e4a-4ebf-9b0f-6a939f8cf964","resolution":{"observed_at":"2026-08-05T20:53:41.414088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.02233","last_updated":"2025-02-05T14:22:26Z","snapshot_observed_at":"2026-08-13T04:03:50.783748Z","submitted_at":"2024-03-04T17:24:03Z","title":"A Theoretical Analysis of Self-Supervised Learning for Vision Transformers","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.02233","snapshot_observed_at":"2026-08-05T20:53:40.258611Z","title":"Cao, Y ., Chen, Z., Belkin, M., and Gu, Q","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.09824","last_updated":"2025-08-15T01:40:46Z","snapshot_observed_at":"2026-08-12T10:20:13.646466Z","submitted_at":"2025-08-13T13:56:01Z","title":"Reverse Convolution and Its Applications to Image Restoration","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T20:53:40.258611Z"},"links":{"cited_paper":"/paper/2403.02233","citing_paper":"/paper/2508.09824"},"observation_digest":"sha256:f6b3ae01937a898e2ebb37771fc81b7a45c9ace688755b09175d3f35c3893ea7","observation_id":"9b8c1007-ece6-4e5f-bd28-1ffd1921598a","resolution":{"observed_at":"2026-08-05T20:53:40.258611Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.11778","last_updated":"2025-05-29T17:32:38Z","snapshot_observed_at":"2026-08-12T22:22:32.620367Z","submitted_at":"2024-10-15T16:57:14Z","title":"On the Training Convergence of Transformers for In-Context Classification of Gaussian Mixtures","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.11778","snapshot_observed_at":"2026-08-05T20:53:40.498128Z","title":"Shen, W., Zhou, R., Yang, J., and Shen, C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.09824","last_updated":"2025-08-15T01:40:46Z","snapshot_observed_at":"2026-08-12T10:20:13.646466Z","submitted_at":"2025-08-13T13:56:01Z","title":"Reverse Convolution and Its Applications to Image Restoration","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T20:53:40.498128Z"},"links":{"cited_paper":"/paper/2410.11778","citing_paper":"/paper/2508.09824"},"observation_digest":"sha256:2e3d65ff73a3bafc63d51579862dd8f2107821aadcb121c2df3cb66e99477bc9","observation_id":"ef84f625-daf7-4a28-82d6-89de4b951014","resolution":{"observed_at":"2026-08-05T20:53:40.498128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.00871","last_updated":"2023-11-01T21:41:08Z","snapshot_observed_at":"2026-08-13T05:34:37.855650Z","submitted_at":"2023-11-01T21:41:08Z","title":"Pretraining Data Mixtures Enable Narrow Model Selection Capabilities in Transformer Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.00871","snapshot_observed_at":"2026-08-05T20:53:40.619277Z","title":"Todd, E., Li, M., Sharma, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.09824","last_updated":"2025-08-15T01:40:46Z","snapshot_observed_at":"2026-08-12T10:20:13.646466Z","submitted_at":"2025-08-13T13:56:01Z","title":"Reverse Convolution and Its Applications to Image Restoration","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T20:53:40.619277Z"},"links":{"cited_paper":"/paper/2311.00871","citing_paper":"/paper/2508.09824"},"observation_digest":"sha256:f5f9c1efad3376c3f014bf39e00379bf02079bd44a4c58e1e9caf5b4285c8c80","observation_id":"f45318f3-cef2-4aad-b3b3-bd89673c894c","resolution":{"observed_at":"2026-08-05T20:53:40.619277Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.16178","last_updated":"2026-05-28T04:40:07Z","snapshot_observed_at":"2026-08-11T16:48:26.584687Z","submitted_at":"2025-05-22T03:34:29Z","title":"Understanding Fact Recall in Language Models: Why Two-Stage Training Encourages Memorization but Mixed Training Teaches Knowledge","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.16178","snapshot_observed_at":"2026-08-05T20:53:40.719452Z","title":"up-word-down-label","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.09824","last_updated":"2025-08-15T01:40:46Z","snapshot_observed_at":"2026-08-12T10:20:13.646466Z","submitted_at":"2025-08-13T13:56:01Z","title":"Reverse Convolution and Its Applications to Image Restoration","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T20:53:40.719452Z"},"links":{"cited_paper":"/paper/2505.16178","citing_paper":"/paper/2508.09824"},"observation_digest":"sha256:1f8071567b893b4d536587c5357523d8bb94833a3ef59a44dea81e427924fa6f","observation_id":"aa3b18c5-23ec-47e6-9973-0621f72de720","resolution":{"observed_at":"2026-08-05T20:53:40.719452Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:53:41.143411Z","title":"≥ ˆC1(C1 ηqV t σ2 1dM 2K − r 2 log(8(2K + K�)2 δ )/(M d1/2))","venue":null,"work_id":"96b25e5b-a761-4489-8d24-dc837e938830","year":null},"citing_paper":{"arxiv_id":"2508.09824","last_updated":"2025-08-15T01:40:46Z","snapshot_observed_at":"2026-08-12T10:20:13.646466Z","submitted_at":"2025-08-13T13:56:01Z","title":"Reverse Convolution and Its Applications to Image Restoration","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T20:53:40.947400Z"},"links":{"citing_paper":"/paper/2508.09824"},"observation_digest":"sha256:d045674d0f1186965bde397bd191a3cef77d2bd24a0b3271bf39d100d7057e36","observation_id":"8f5ffd7a-a322-47bd-b67d-71c90cd8b620","resolution":{"observed_at":"2026-08-05T20:53:41.218050Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:53:41.517750Z","title":"Pan, J., Gao, T., Chen, H., and Chen, D","venue":null,"work_id":"cb406358-5dc9-4e83-a30e-f41c060566ce","year":2023},"citing_paper":{"arxiv_id":"2508.09824","last_updated":"2025-08-15T01:40:46Z","snapshot_observed_at":"2026-08-12T10:20:13.646466Z","submitted_at":"2025-08-13T13:56:01Z","title":"Reverse Convolution and Its Applications to Image Restoration","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-05T20:53:40.344085Z"},"links":{"citing_paper":"/paper/2508.09824"},"observation_digest":"sha256:0815f571ab8eea41a5c76889bfa4d957c4ead03a90484be0307ef52e2814f154","observation_id":"3ea896e1-f4bb-40a8-a80d-23e90364950e","resolution":{"observed_at":"2026-08-05T20:53:41.593315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:53:41.714946Z","title":"Bai, Y ., Chen, F., Wang, H., Xiong, C., and Mei, S","venue":null,"work_id":"8a88f784-6069-43de-b4f2-289ed512603d","year":2023},"citing_paper":{"arxiv_id":"2508.09824","last_updated":"2025-08-15T01:40:46Z","snapshot_observed_at":"2026-08-12T10:20:13.646466Z","submitted_at":"2025-08-13T13:56:01Z","title":"Reverse Convolution and Its Applications to Image Restoration","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-05T20:53:40.188696Z"},"links":{"citing_paper":"/paper/2508.09824"},"observation_digest":"sha256:ac99a3050008fc762a136e2cd9ce2857c620522fb4a6eec65cce434c89fd7f62","observation_id":"466a20d3-6ad1-4449-b0ca-3a604359ad00","resolution":{"observed_at":"2026-08-05T20:53:41.811850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.09824","last_updated":"2025-08-15T01:40:46Z","latest_version":2,"primary_category":"cs.CV","snapshot_observed_at":"2026-08-12T10:20:13.646466Z","submitted_at":"2025-08-13T13:56:01Z","title":"Reverse Convolution and Its Applications to Image Restoration"},"reference_resolution":{"displayed":8,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":4},"total_outbound_references":8},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2508.09824."}