{"as_of":"2026-08-09T22:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:31ac0585cb3c657a1b0077913d002f56a408a80cb1034ce86612f450c29a57a2","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T20:13:09.538206Z","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":"2026-05-19T14:22:23.811305Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.18999","last_updated":"2025-04-26T18:54:52Z","snapshot_observed_at":"2026-08-07T15:58:56.776683Z","submitted_at":"2025-04-26T18:54:52Z","title":"Inverse Problems Over Probability Measure Space","version":1},"cited_work":{"arxiv_id":"2504.18999","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.18999","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Inverse problems over probability measure space.arXiv preprint arXiv:2504.18999","venue":null,"work_id":"4308c6ce-5bff-41c2-bd9a-668a45f4251c","year":2025},"citing_paper":{"arxiv_id":"2505.19841","last_updated":"2026-05-05T11:01:06Z","snapshot_observed_at":"2026-07-06T21:30:32.739008Z","submitted_at":"2025-05-26T11:25:46Z","title":"Efficient Deconvolution in Populational Inverse Problems","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-19T14:21:21.786849Z"},"links":{"cited_paper":"/paper/2504.18999","citing_paper":"/paper/2505.19841"},"observation_digest":"sha256:f510bc4c320558e0ecdac2fae571753593d340bb52236492256b00fcaa0020b0","observation_id":"f0a78037-37d8-4d5b-b10f-2d50a6746ff2","resolution":{"observed_at":"2026-05-19T14:22:23.814492Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2504.18999","last_updated":"2025-04-26T18:54:52Z","snapshot_observed_at":"2026-08-07T15:58:56.776683Z","submitted_at":"2025-04-26T18:54:52Z","title":"Inverse Problems Over Probability Measure Space","version":1},"cited_work":{"arxiv_id":"2504.18999","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.18999","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Inverse problems over probability measure space.arXiv preprint arXiv:2504.18999","venue":null,"work_id":"4308c6ce-5bff-41c2-bd9a-668a45f4251c","year":2025},"citing_paper":{"arxiv_id":"2512.10857","last_updated":"2026-05-13T02:55:53Z","snapshot_observed_at":"2026-07-06T22:38:45.907386Z","submitted_at":"2025-12-11T17:53:38Z","title":"Generative Modeling from Black-box Corruptions via Self-Consistent Stochastic Interpolants","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-16T23:01:37.752828Z"},"links":{"cited_paper":"/paper/2504.18999","citing_paper":"/paper/2512.10857"},"observation_digest":"sha256:a048d45f1f9d6461ea5f80b4474b8efa209e98323853f0c068d081ab8ab8eeb3","observation_id":"98df7659-ba6b-450f-bb1d-e14cf67679c1","resolution":{"observed_at":"2026-05-16T23:03:39.107161Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2504.18999","last_updated":"2025-04-26T18:54:52Z","snapshot_observed_at":"2026-08-07T15:58:56.776683Z","submitted_at":"2025-04-26T18:54:52Z","title":"Inverse Problems Over Probability Measure Space","version":1},"cited_work":{"arxiv_id":"2504.18999","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.18999","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Inverse problems over probability measure space.arXiv preprint arXiv:2504.18999","venue":null,"work_id":"4308c6ce-5bff-41c2-bd9a-668a45f4251c","year":2025},"citing_paper":{"arxiv_id":"2604.02581","last_updated":"2026-04-02T23:34:55Z","snapshot_observed_at":"2026-08-02T22:56:22.687434Z","submitted_at":"2026-04-02T23:34:55Z","title":"Learning interacting particle systems from unlabeled data","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-13T20:01:16.122403Z"},"links":{"cited_paper":"/paper/2504.18999","citing_paper":"/paper/2604.02581"},"observation_digest":"sha256:38df7f0639d2070c60d791fe0462228838bdf01c890cae96f25829e62d15184c","observation_id":"291487fc-b171-40a9-ae77-6490e6153377","resolution":{"observed_at":"2026-05-13T20:03:12.348966Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2504.18999","last_updated":"2025-04-26T18:54:52Z","snapshot_observed_at":"2026-08-07T15:58:56.776683Z","submitted_at":"2025-04-26T18:54:52Z","title":"Inverse Problems Over Probability Measure Space","version":1},"cited_work":{"arxiv_id":"2504.18999","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.18999","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Inverse problems over probability measure space.arXiv preprint arXiv:2504.18999","venue":null,"work_id":"4308c6ce-5bff-41c2-bd9a-668a45f4251c","year":2025},"citing_paper":{"arxiv_id":"2604.14083","last_updated":"2026-08-06T09:28:05Z","snapshot_observed_at":"2026-08-09T22:09:39.549151Z","submitted_at":"2026-04-15T16:56:53Z","title":"Distributional Inverse Homogenization","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-10T11:38:53.758076Z"},"links":{"cited_paper":"/paper/2504.18999","citing_paper":"/paper/2604.14083"},"observation_digest":"sha256:24ad1c0093797bc8d90eb4e3f8651eb1ec9c9ca1002875a7c519d60d40883210","observation_id":"698d05ba-3d6b-4502-a6a9-0eebfc05f042","resolution":{"observed_at":"2026-05-10T11:40:19.026999Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2504.18999","last_updated":"2025-04-26T18:54:52Z","snapshot_observed_at":"2026-08-07T15:58:56.776683Z","submitted_at":"2025-04-26T18:54:52Z","title":"Inverse Problems Over Probability Measure Space","version":1},"cited_work":{"arxiv_id":"2504.18999","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.18999","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Inverse problems over probability measure space.arXiv preprint arXiv:2504.18999","venue":null,"work_id":"4308c6ce-5bff-41c2-bd9a-668a45f4251c","year":2025},"citing_paper":{"arxiv_id":"2604.14083","last_updated":"2026-08-06T09:28:05Z","snapshot_observed_at":"2026-08-09T22:09:39.549151Z","submitted_at":"2026-04-15T16:56:53Z","title":"Distributional Inverse Homogenization","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-13T08:06:35.828817Z"},"links":{"cited_paper":"/paper/2504.18999","citing_paper":"/paper/2604.14083"},"observation_digest":"sha256:83223dfbf461eb9542dde198c8bf6d521156105a44eb79e7d669d68834930a05","observation_id":"a254a848-9e0b-44b9-9002-c5fa097a7b46","resolution":{"observed_at":"2026-05-13T08:07:31.284506Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2504.18999","last_updated":"2025-04-26T18:54:52Z","snapshot_observed_at":"2026-08-07T15:58:56.776683Z","submitted_at":"2025-04-26T18:54:52Z","title":"Inverse Problems Over Probability Measure Space","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.18999","snapshot_observed_at":"2026-07-14T20:13:09.538206Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2604.14083","last_updated":"2026-08-06T09:28:05Z","snapshot_observed_at":"2026-08-09T22:09:39.549151Z","submitted_at":"2026-04-15T16:56:53Z","title":"Distributional Inverse Homogenization","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-14T20:13:09.538206Z"},"links":{"cited_paper":"/paper/2504.18999","citing_paper":"/paper/2604.14083"},"observation_digest":"sha256:1a3bc37a402b9db09fc6358bb65f5d128a95cd331bdbc14c8efafc3740e4dd5a","observation_id":"33e45edd-aae8-4809-b012-6179ca56fb40","resolution":{"observed_at":"2026-07-14T20:13:09.538206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2504.18999/citation-record","integrity":"/paper/2504.18999/integrity","json":"/paper/2504.18999/citation-record.json","paper":"/paper/2504.18999"},"outbound":[],"paper":{"arxiv_id":"2504.18999","last_updated":"2025-04-26T18:54:52Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-07T15:58:56.776683Z","submitted_at":"2025-04-26T18:54:52Z","title":"Inverse Problems Over Probability Measure Space"},"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 6 inbound Pith citation observations for arXiv:2504.18999."}