{"as_of":"2026-08-21T07:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9d44af6646ce257d290d6afddce2102a9edb1dc6cb2587d8b9a6cbde35b93602","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T00:36:18.083929Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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":"2026-08-15T14:31:37.924892Z","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":"2026-08-14T04:24:47.588919Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"cited_work":{"arxiv_id":"2607.28793","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.28793","snapshot_observed_at":"2026-08-14T04:24:47.588919Z","title":"Favard length and generalized projections","venue":"math.CA","work_id":"88671eb5-8a6d-485b-886c-20e8de1a54a7","year":2026},"citing_paper":{"arxiv_id":"2608.10253","last_updated":"2026-08-10T21:37:01Z","snapshot_observed_at":"2026-08-19T03:12:13.702719Z","submitted_at":"2026-08-10T21:37:01Z","title":"Applications of Nonlinear Projections to Rectifiable 1-sets","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T04:24:46.724751Z"},"links":{"cited_paper":"/paper/2607.28793","citing_paper":"/paper/2608.10253"},"observation_digest":"sha256:956d6a0db10fe9127e20d56d58b288787ca904adfad56e2955e1d3f99ff7ea53","observation_id":"e9e4e89f-9136-4749-be20-910023fb67c8","resolution":{"observed_at":"2026-08-14T04:24:47.601889Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.28793","snapshot_observed_at":"2026-08-15T14:31:37.924892Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.10476","last_updated":"2026-08-11T04:44:52Z","snapshot_observed_at":"2026-08-20T21:16:16.276481Z","submitted_at":"2026-08-11T04:44:52Z","title":"Finite Good Witnesses for Generalized Curve Projections at the Rectifiable Endpoint","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T14:31:37.924892Z"},"links":{"cited_paper":"/paper/2607.28793","citing_paper":"/paper/2608.10476"},"observation_digest":"sha256:860ca2361a62e3b4e5ec4cb11930b26d9de48ca2138688ab6f1d54be0d6d1ecf","observation_id":"80f79e87-1afa-45a9-8be4-6d175f2677a4","resolution":{"observed_at":"2026-08-15T14:31:37.924892Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.28793/citation-record","integrity":"/paper/2607.28793/integrity","json":"/paper/2607.28793/citation-record.json","paper":"/paper/2607.28793"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:17.958593Z","title":"Bateman and A","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:17.958593Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:5a5ea2e544a9a4b1cb5f6a0afcf8f8e57713a61bf1ac1b3e8f454ae1a4d5e450","observation_id":"492301ab-0cbb-4400-bc38-651572700402","resolution":{"observed_at":"2026-08-03T00:36:17.958593Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:17.964347Z","title":null,"venue":null,"work_id":null,"year":1939},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:17.964347Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:ff2beb59bbdae32b1f53dae5ea4c075d123638e9c157b7106fd629e7814684ce","observation_id":"791f7e71-a01f-4451-a29d-00be816c5087","resolution":{"observed_at":"2026-08-03T00:36:17.964347Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:17.969317Z","title":"Bond.Combinatorial and Fourier analytic L²methods for Buffon ’s needle problem","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:17.969317Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:e4098618fd2e23363a02146c002d90af6c486435bfb1b3f2b5c2e7ccd25898ac","observation_id":"8d973166-a520-48aa-b4a4-1fd442f393f3","resolution":{"observed_at":"2026-08-03T00:36:17.969317Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:17.974062Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:17.974062Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:2ad29107e53be8d4fef9fc2c3c499751acc3e7a727d8ba559e3ffdcf96655827","observation_id":"1a306256-be6f-4986-9750-770b579aa2b7","resolution":{"observed_at":"2026-08-03T00:36:17.974062Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:17.978701Z","title":"Bond and A","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:17.978701Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:16973c668320b7c5d8356d7e19640b24286684bb7fbf1f9317f0ac038c3572c1","observation_id":"37076017-d6c1-431a-9ac3-3b323d6b46a8","resolution":{"observed_at":"2026-08-03T00:36:17.978701Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:17.983704Z","title":"Bond and A","venue":null,"work_id":null,"year":2085},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:17.983704Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:53f9e652a2ad2c6f7901de848f978cfd3aac34a70f399d9d9856c0ac99094f63","observation_id":"72974a07-e3a8-43dc-8f5c-c2dcaee185c8","resolution":{"observed_at":"2026-08-03T00:36:17.983704Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:17.989183Z","title":"Bongers and K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:17.989183Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:e6089e5f3f4ef29dabefa0a3821e6eb71c78dba8ac88f8c6232bec9303cb2b09","observation_id":"6baa87ee-0782-403d-9583-42bcaf85517f","resolution":{"observed_at":"2026-08-03T00:36:17.989183Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:17.993874Z","title":"Chang, P","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:17.993874Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:89891c5c1b040a2153d3626c5682ba34e235d71193f9118d5743fbaee9d7e48b","observation_id":"643426ea-db94-4702-8137-8c4af1f0b753","resolution":{"observed_at":"2026-08-03T00:36:17.993874Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:17.998591Z","title":"Cladek, B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:17.998591Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:4d0be19d25e74f7a5fd409698ffdb8374297b5f3017551553c3e04cb685d1be9","observation_id":"4f2f32b4-5951-4c42-9009-ead15a3fccb3","resolution":{"observed_at":"2026-08-03T00:36:17.998591Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.003210Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.003210Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:2d4ae7efcc00856ea5e86ef368dd54f6163ce1396216c840dbe6ac29cdc81b2e","observation_id":"6f266757-1d2a-47cc-b1f9-4066923ec64a","resolution":{"observed_at":"2026-08-03T00:36:18.003210Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.007766Z","title":"Laba and C","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.007766Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:40f42871410827ca4d6daf2ecc0d72ea174792984d9da9fb932d6750f63c2624","observation_id":"840504d9-5b0a-41fa-b995-1e7e5f8158b6","resolution":{"observed_at":"2026-08-03T00:36:18.007766Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.012259Z","title":"Laba and K","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.012259Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:77b0fe5c7df2d5b0ce8b8938e1d61ede442feda442dee3a79e4c298191eed1a5","observation_id":"63ccb949-3cbc-4ee8-8d81-b7426525788b","resolution":{"observed_at":"2026-08-03T00:36:18.012259Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.016395Z","title":null,"venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.016395Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:b4eb8d284960ef036276971fc998318ffdb4f561572a9b4bc1dd737e55820c31","observation_id":"76ce59dc-f41a-421a-80a3-cb9445d378bc","resolution":{"observed_at":"2026-08-03T00:36:18.016395Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.021218Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.021218Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:a1e87a9ab812109cc33c7ef48e3122b5d72dc06b411a6f7ed74a5c75aaa13fa3","observation_id":"17c7cb49-5e19-446d-86a3-89d802589256","resolution":{"observed_at":"2026-08-03T00:36:18.021218Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.026018Z","title":"Mattila.Geometry of sets and measures in Euclidean spaces, volume 44 ofCambridge Studies in Advanced Mathematics","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.026018Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:995178ef5bd7573acbb3e33c5807022f626050d32c5aeb1b6fed72359cc1e27b","observation_id":"175b56a2-02e8-4db8-ac88-eda6eaeeb36c","resolution":{"observed_at":"2026-08-03T00:36:18.026018Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.030712Z","title":"Mattila.Fourier Analysis and Hausdorff Dimension","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.030712Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:356c94c88bc3ea2a1ab71dc07d80fb59af3582110105b9cda07a2328afa13a69","observation_id":"6717c240-84db-4bf8-a10f-e7cc2a83003c","resolution":{"observed_at":"2026-08-03T00:36:18.030712Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.035131Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.035131Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:d802ef25d691b9b377271cdc23f880250c6bc0e247593fa458d5b132d06b8c73","observation_id":"24134ed1-3202-4f0f-92ca-2986061b2406","resolution":{"observed_at":"2026-08-03T00:36:18.035131Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.040185Z","title":"Nazarov, Y","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.040185Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:fa0bfdc864ab156086c8579dd4895f56bbd475916be257c6415490385cdf057e","observation_id":"5cc6ac5a-0cf2-4e52-9b08-2ea11441e4e1","resolution":{"observed_at":"2026-08-03T00:36:18.040185Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.044929Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.044929Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:5ec82593928659f81f8cfdb41c82df1f132cd7dcbd2dfadb78416e0ca197c496","observation_id":"a9b43acd-4ae4-401b-b0a9-0d33b8d7ce7b","resolution":{"observed_at":"2026-08-03T00:36:18.044929Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.049665Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.049665Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:bc0a11c09525a9d5e01d4355097968c5d6962f0dcb935274ea792e8797c0a58e","observation_id":"3f5ae4ba-6e1c-43af-bfa5-7a3d0c9f011a","resolution":{"observed_at":"2026-08-03T00:36:18.049665Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.054353Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.054353Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:3d40d45a4c954445be3ebdd525d9d7b7d5645faa4ca41bbaf0e2a0ae5137b67e","observation_id":"a0246d8f-07a1-42a7-97f1-f1ea58d4be90","resolution":{"observed_at":"2026-08-03T00:36:18.054353Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.059201Z","title":"Peres and W","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.059201Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:2f14f7f6a846e9bb8cdaa22bc8d81f1b4557789ac69969242dda314949458001","observation_id":"f18000b2-2859-4bdb-ba5e-81cc2cbb40a8","resolution":{"observed_at":"2026-08-03T00:36:18.059201Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.063784Z","title":"Peres and B","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.063784Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:fa289923d7d211d8d7b61ce7e7512bb520ed6fa088d562df846b12d37d647c72","observation_id":"7b8b3166-5117-4dc9-b655-31409a738d97","resolution":{"observed_at":"2026-08-03T00:36:18.063784Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.068653Z","title":"Simon and K","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.068653Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:6123a1977967ec4a6f95b9fa880a337280dd11a1fc47e565ff4726b0e2e35171","observation_id":"0f5d5a5a-e4b9-4498-93c6-28ed4e365d53","resolution":{"observed_at":"2026-08-03T00:36:18.068653Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.073477Z","title":"Talagrand","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.073477Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:3ce128df7551b72d9a9a802d95572ef8b9b2777313c28134fef09ba382229c97","observation_id":"17982102-89c4-4457-80cd-b4171baa0680","resolution":{"observed_at":"2026-08-03T00:36:18.073477Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.078771Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.078771Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:862568526e5d6c84323230071f4440c975d4b2f3b3989937113e88f9dbf1021c","observation_id":"52880691-a34b-4ade-a971-c84b3e210189","resolution":{"observed_at":"2026-08-03T00:36:18.078771Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T00:36:18.083929Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T00:36:18.083929Z"},"links":{"citing_paper":"/paper/2607.28793"},"observation_digest":"sha256:59611b989f68c229c54a401eea5c66273084ac08b6947a176556705b768c6dfe","observation_id":"e9ac06c5-9b89-4860-9523-767c05e2b4bc","resolution":{"observed_at":"2026-08-03T00:36:18.083929Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.28793","last_updated":"2026-07-30T19:41:51Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-17T22:09:17.660321Z","submitted_at":"2026-07-30T19:41:51Z","title":"Favard length and generalized projections"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":27},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 2 inbound Pith citation observations for arXiv:2607.28793."}