{"as_of":"2026-08-08T19:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5f1b02036a7018f9fc8b5be36eb12ccc03dade4931b7df904522b264fe672104","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:27:18.673857Z","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":"2026-05-21T23:14:25.720749Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.04952","last_updated":"2025-04-23T11:47:40Z","snapshot_observed_at":"2026-08-07T16:08:00.997847Z","submitted_at":"2025-04-07T11:35:27Z","title":"The Vectorial Hadwiger Theorem on Convex Functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.04952","snapshot_observed_at":"2026-08-07T13:27:18.673857Z","title":"Mouamine and Fabian Mussnig","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.22464","last_updated":"2025-05-28T15:18:04Z","snapshot_observed_at":"2026-08-07T13:04:15.768265Z","submitted_at":"2025-05-28T15:18:04Z","title":"A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T13:27:18.673857Z"},"links":{"cited_paper":"/paper/2504.04952","citing_paper":"/paper/2505.22464"},"observation_digest":"sha256:8b6e45dbcc46d594110745e68ed2bff1fb1f2ab2345bbb2fc8bc76a74746b80f","observation_id":"4235e517-5252-455d-ba9d-01fa39812c82","resolution":{"observed_at":"2026-08-07T13:27:18.673857Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.04952","last_updated":"2025-04-23T11:47:40Z","snapshot_observed_at":"2026-08-07T16:08:00.997847Z","submitted_at":"2025-04-07T11:35:27Z","title":"The Vectorial Hadwiger Theorem on Convex Functions","version":2},"cited_work":{"arxiv_id":"2504.04952","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.04952","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"57dd09ff-db55-4c5e-8bab-d6bb1702b851","year":2025},"citing_paper":{"arxiv_id":"2508.07984","last_updated":"2026-05-19T08:31:58Z","snapshot_observed_at":"2026-08-02T06:41:32.173767Z","submitted_at":"2025-08-11T13:50:16Z","title":"Additive Kinematic Formulas for Functional Minkowski Vectors","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-21T23:12:58.775958Z"},"links":{"cited_paper":"/paper/2504.04952","citing_paper":"/paper/2508.07984"},"observation_digest":"sha256:d1a4dcddcc86dd395f8fbe3ab4ea66c142bd12b8d892823827fa8cc32bee486a","observation_id":"3cac85b1-b0cc-4c49-b05f-68d782364e4b","resolution":{"observed_at":"2026-05-21T23:14:25.723702Z","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":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.04952","last_updated":"2025-04-23T11:47:40Z","snapshot_observed_at":"2026-08-07T16:08:00.997847Z","submitted_at":"2025-04-07T11:35:27Z","title":"The Vectorial Hadwiger Theorem on Convex Functions","version":2},"cited_work":{"arxiv_id":"2504.04952","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.04952","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"57dd09ff-db55-4c5e-8bab-d6bb1702b851","year":2025},"citing_paper":{"arxiv_id":"2508.11600","last_updated":"2026-05-20T11:26:01Z","snapshot_observed_at":"2026-08-07T15:32:40.249920Z","submitted_at":"2025-08-15T17:10:15Z","title":"Explicit solutions to Christoffel-Minkowski problems and Hessian equations under rotational symmetries","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-21T22:27:23.472639Z"},"links":{"cited_paper":"/paper/2504.04952","citing_paper":"/paper/2508.11600"},"observation_digest":"sha256:ae72fb2f9db13eba7f22095e19ac51fcb6dbf0d03458c273aa11dcb2b3c4c8f7","observation_id":"050dc003-bc98-40ae-89ae-14f1d5ab6180","resolution":{"observed_at":"2026-05-21T22:30:44.057828Z","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":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.04952","last_updated":"2025-04-23T11:47:40Z","snapshot_observed_at":"2026-08-07T16:08:00.997847Z","submitted_at":"2025-04-07T11:35:27Z","title":"The Vectorial Hadwiger Theorem on Convex Functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.04952","snapshot_observed_at":"2026-08-03T16:08:52.212098Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.15402","last_updated":"2026-06-19T10:48:39Z","snapshot_observed_at":"2026-08-03T16:08:47.297954Z","submitted_at":"2025-12-17T12:52:09Z","title":"Polynomial local functionals on convex functions","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T16:08:52.212098Z"},"links":{"cited_paper":"/paper/2504.04952","citing_paper":"/paper/2512.15402"},"observation_digest":"sha256:a045279ab9a40c98c9434ac8aec2554541977c2a19bc6f5d803a626bff5c1353","observation_id":"0291c085-ddc1-41d6-86cf-0be087fc1302","resolution":{"observed_at":"2026-08-03T16:08:52.212098Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.04952","last_updated":"2025-04-23T11:47:40Z","snapshot_observed_at":"2026-08-07T16:08:00.997847Z","submitted_at":"2025-04-07T11:35:27Z","title":"The Vectorial Hadwiger Theorem on Convex Functions","version":2},"cited_work":{"arxiv_id":"2504.04952","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.04952","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"57dd09ff-db55-4c5e-8bab-d6bb1702b851","year":2025},"citing_paper":{"arxiv_id":"2604.24485","last_updated":"2026-04-27T13:54:23Z","snapshot_observed_at":"2026-07-06T23:10:29.508602Z","submitted_at":"2026-04-27T13:54:23Z","title":"Integral representation of polynomial local functionals on convex functions","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-07T17:40:52.967294Z"},"links":{"cited_paper":"/paper/2504.04952","citing_paper":"/paper/2604.24485"},"observation_digest":"sha256:303438731d9b0cf05efc5b36f07ef06bdd1003622fdd508aaa90a930bf343f51","observation_id":"b598492a-2638-42af-8a8e-790031db162d","resolution":{"observed_at":"2026-05-11T23:16:31.226552Z","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":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2504.04952/citation-record","integrity":"/paper/2504.04952/integrity","json":"/paper/2504.04952/citation-record.json","paper":"/paper/2504.04952"},"outbound":[],"paper":{"arxiv_id":"2504.04952","last_updated":"2025-04-23T11:47:40Z","latest_version":2,"primary_category":"math.MG","snapshot_observed_at":"2026-08-07T16:08:00.997847Z","submitted_at":"2025-04-07T11:35:27Z","title":"The Vectorial Hadwiger Theorem on Convex Functions"},"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":"2026-08-08T06:32:00.761636+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 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2504.04952."}