{"as_of":"2026-08-08T11:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:38c944d1baf037895ec569b576eed2d7ce4614716b0023d3d0e2ee1426106ca5","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:35:22.239324Z","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":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-20T17:20:29.589792Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.24352","last_updated":"2025-05-30T08:45:28Z","snapshot_observed_at":"2026-08-07T12:22:43.778439Z","submitted_at":"2025-05-30T08:45:28Z","title":"Approximation of starshaped sets using polynomials","version":1},"cited_work":{"arxiv_id":"2505.24352","doi":"10.48550/arxiv.2505.24352","metadata_source":"arxiv_reference","pith_arxiv_id":"2505.24352","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Approximation of starshaped sets using polynomials , url =","venue":"ArXiv.org","work_id":"151ca975-47c6-40e4-af8f-3db167519a77","year":null},"citing_paper":{"arxiv_id":"2605.15970","last_updated":"2026-05-15T14:00:47Z","snapshot_observed_at":"2026-07-06T23:27:11.118592Z","submitted_at":"2026-05-15T14:00:47Z","title":"Copositive Matrices with Ordered Off-Diagonal Entries","version":1},"reference_index":189,"source":"arxiv_source","source_observed_at":"2026-05-20T17:20:29.589792Z"},"links":{"cited_paper":"/paper/2505.24352","citing_paper":"/paper/2605.15970"},"observation_digest":"sha256:77c77d1f26cbea20eec9da047ac13ca1b27bab0ce98a7b6c6217ccf708834789","observation_id":"407440eb-d3cb-4faf-a71f-10962db3aea4","resolution":{"observed_at":"2026-05-20T17:23:36.352735Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-05-24T04:55:20.66967+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-24T04:55:20.66967+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.24352/citation-record","integrity":"/paper/2505.24352/integrity","json":"/paper/2505.24352/citation-record.json","paper":"/paper/2505.24352"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:35:22.552388Z","title":null,"venue":null,"work_id":"e6c890d7-9cdb-4b54-8ea7-ae59800027dd","year":2003},"citing_paper":{"arxiv_id":"2505.24352","last_updated":"2025-05-30T08:45:28Z","snapshot_observed_at":"2026-08-07T12:22:43.778439Z","submitted_at":"2025-05-30T08:45:28Z","title":"Approximation of starshaped sets using polynomials","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:35:22.142913Z"},"links":{"citing_paper":"/paper/2505.24352"},"observation_digest":"sha256:526621493d9185a04e40fd4be51c397fa0d81f6abb4fd6ddf310dc63e380a944","observation_id":"50607294-0bd4-4ad6-93f2-b2d0a0d3f0b7","resolution":{"observed_at":"2026-08-07T12:35:22.618971Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T12:35:22.442231Z","title":"Ragozin,Polynomial approximation on compact manifolds and homogeneous spaces, Trans","venue":null,"work_id":"1c1a47fa-671f-426f-a246-b8e55ae3b1db","year":1970},"citing_paper":{"arxiv_id":"2505.24352","last_updated":"2025-05-30T08:45:28Z","snapshot_observed_at":"2026-08-07T12:22:43.778439Z","submitted_at":"2025-05-30T08:45:28Z","title":"Approximation of starshaped sets using polynomials","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:35:22.180269Z"},"links":{"citing_paper":"/paper/2505.24352"},"observation_digest":"sha256:cfd142992ca35718298818167153ec1b6def946982c78a05d4bc294cbf856709","observation_id":"8699d34a-1999-4eee-8485-6347bd33cae8","resolution":{"observed_at":"2026-08-07T12:35:22.491203Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T12:35:22.321690Z","title":"MR542284 [WR24] Inc","venue":null,"work_id":"bb667cfd-d839-4dbb-981e-41971550bd15","year":1962},"citing_paper":{"arxiv_id":"2505.24352","last_updated":"2025-05-30T08:45:28Z","snapshot_observed_at":"2026-08-07T12:22:43.778439Z","submitted_at":"2025-05-30T08:45:28Z","title":"Approximation of starshaped sets using polynomials","version":1},"reference_index":1978,"source":"pdf_text","source_observed_at":"2026-08-07T12:35:22.239324Z"},"links":{"citing_paper":"/paper/2505.24352"},"observation_digest":"sha256:f27833e6f6e5194d29d08021a982f303aee57dcf044b597296f9a3729555148b","observation_id":"0e4f20fd-4dc5-4807-9705-e4592a072833","resolution":{"observed_at":"2026-08-07T12:35:22.362772Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T12:35:23.113887Z","title":null,"venue":null,"work_id":"457c5fe0-2274-411b-928c-77e085d24f10","year":1986},"citing_paper":{"arxiv_id":"2505.24352","last_updated":"2025-05-30T08:45:28Z","snapshot_observed_at":"2026-08-07T12:22:43.778439Z","submitted_at":"2025-05-30T08:45:28Z","title":"Approximation of starshaped sets using polynomials","version":1},"reference_index":2001,"source":"pdf_text","source_observed_at":"2026-08-07T12:35:21.917156Z"},"links":{"citing_paper":"/paper/2505.24352"},"observation_digest":"sha256:0abf82bde8f5a083a9fd96e499524c620a679da3e2d8b76ab826b36d6f14d296","observation_id":"53a91af6-366d-4a93-aa5c-32f60790439f","resolution":{"observed_at":"2026-08-07T12:35:23.260582Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T12:35:22.785652Z","title":null,"venue":null,"work_id":"76f24bc9-1e72-42cd-8540-b42c13a3185b","year":2021},"citing_paper":{"arxiv_id":"2505.24352","last_updated":"2025-05-30T08:45:28Z","snapshot_observed_at":"2026-08-07T12:22:43.778439Z","submitted_at":"2025-05-30T08:45:28Z","title":"Approximation of starshaped sets using polynomials","version":1},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-07T12:35:22.006530Z"},"links":{"citing_paper":"/paper/2505.24352"},"observation_digest":"sha256:5d22e01feb749be6366c3ef2dccbc129bd3f3438fbb52f5187c95cf5c0b19c8f","observation_id":"80ccccdb-93e8-4db9-a009-bdf5be0df41f","resolution":{"observed_at":"2026-08-07T12:35:22.844948Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T12:35:22.915302Z","title":"Optim.34(2024), no","venue":null,"work_id":"c0595e13-eb37-47e5-b5b6-d126d13806cf","year":2024},"citing_paper":{"arxiv_id":"2505.24352","last_updated":"2025-05-30T08:45:28Z","snapshot_observed_at":"2026-08-07T12:22:43.778439Z","submitted_at":"2025-05-30T08:45:28Z","title":"Approximation of starshaped sets using polynomials","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-07T12:35:21.947632Z"},"links":{"citing_paper":"/paper/2505.24352"},"observation_digest":"sha256:c82a7afa055184448121a3e9ea5055b94853ef63d260c29f8d25b4cafd7fd5ed","observation_id":"59d9905f-9dba-4adf-b25d-603ac189ad96","resolution":{"observed_at":"2026-08-07T12:35:22.993882Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T12:35:22.691940Z","title":"Golub and John H","venue":null,"work_id":"893ab062-34e3-4993-a1ab-29be32419d69","year":1969},"citing_paper":{"arxiv_id":"2505.24352","last_updated":"2025-05-30T08:45:28Z","snapshot_observed_at":"2026-08-07T12:22:43.778439Z","submitted_at":"2025-05-30T08:45:28Z","title":"Approximation of starshaped sets using polynomials","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T12:35:22.088002Z"},"links":{"citing_paper":"/paper/2505.24352"},"observation_digest":"sha256:3ce3912b6d6d72a9b8f09af6645f56c975c2ded3c9599d9810e753935e2da489","observation_id":"aa2f2b39-4785-4d73-9464-48e7c5616509","resolution":{"observed_at":"2026-08-07T12:35:22.763020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.24352","last_updated":"2025-05-30T08:45:28Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-07T12:22:43.778439Z","submitted_at":"2025-05-30T08:45:28Z","title":"Approximation of starshaped sets using polynomials"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":4},"total_outbound_references":7},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2505.24352."}