{"as_of":"2026-08-09T16:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b3f483cd51d33533a79d96e07d36cd6fbcd19c5debd5d546dfe84c531eaa59c8","coverage":[{"denominator":50,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":50,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T08:09:52.700127Z","state":"measured"},{"denominator":50,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":50,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2606.12102/citation-record","integrity":"/paper/2606.12102/integrity","json":"/paper/2606.12102/citation-record.json","paper":"/paper/2606.12102"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T08:09:52.700127Z","title":"Linear Algebra Appl","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:bb5c92e62eebb64ac93695593fc1c86c5f2dc22e716ae16cde98559854b13204","observation_id":"91327234-56d6-4c97-815b-0b30724c0b77","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"I.The classical moment problem and some related questions in analysis","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:349fac1c72ecb3e8b78912143b2b0816ea35d9cf5d7c7ee58e7a970d2da8e1c7","observation_id":"bbc3bc67-4e1b-4043-99ee-c5b28e2c86c2","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"I; Krein, M.Some questions in the theory of moments","venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:010d0443626883abf19965a062746a48dbe1622aabd57318ab7e2fe78b364b8e","observation_id":"1d2157ca-b59d-4c40-9595-f6266b42981d","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"V.The Weyl functional calculus","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:49b1537c544bc6913f39e0aa12c8a921350599683e5af344f7f614db20d9c132","observation_id":"3cb1c28b-8933-486b-87ab-fac0253b5eed","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"225, Springer Science & Business Media, 2004","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:c48253bfcef10242637ee647bd2e1616deeb9882670dc9974a8d4a475afeebbf","observation_id":"4ab22a9b-610c-4b55-ae59-a76d0bf30bef","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"Acta Math","venue":null,"work_id":null,"year":1929},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:8af451af4a41bc050ca956bac2524df869310bd2d793c3a43a4a823042490c91","observation_id":"905fcdcb-6281-44ff-b45e-95ff31c464e3","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:98b0980ca6fae11e9de343506610de1bac03c69b2bf09b86b6938f4f919000a1","observation_id":"8d05a4ab-2e12-41e4-9393-94820104cad3","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:e9a88a082cbd4f745a9139727988122bb4ef05f1d347b6dd704d0bcdda858cdd","observation_id":"7eb4c1ff-4ecb-4e22-9cff-63694cbb7046","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2509.15668","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T13:28:18.466564Z","title":"arXiv:2509.15668","venue":null,"work_id":"344e6d06-ad19-461e-85b3-b50ec893be1b","year":null},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:972f6fcd12c0fd5f37bc16f5e489c3bf6d44f3d6f882608efbb3faca28d04f73","observation_id":"98d49998-cadb-4abb-8458-128e8edfe410","resolution":{"observed_at":"2026-07-03T13:28:18.467939Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T08:09:52.700127Z","title":"Trans- lated from the 1987 French original","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:8ba75a5e55b3ef8bfb7f512d862ae79b98c36c0380cd131674dec4ceabd09dc9","observation_id":"3daafd2d-7494-44a7-8580-d38caae909bd","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"x+430 pp","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:0d6a73fb9bd134f43b7f96e04d16b95ab70f2e526f9d2dff1acb0b7d48eb8d5a","observation_id":"9fc1b0f2-af61-4136-8d01-dc89810bd5a1","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"University of California Press, Berkeley-Los Angeles, Calif., 1955, viii+176 pp","venue":null,"work_id":null,"year":1955},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:6c34776ac2cb27d4791ad86c738e445d1c323969435af66c07c993bbcf0bdab9","observation_id":"e46d099e-3580-485e-849c-e295b18d7eee","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.02913","last_updated":"2026-06-11T01:49:27Z","snapshot_observed_at":"2026-08-07T11:10:11.547589Z","submitted_at":"2025-06-03T14:17:33Z","title":"Dual realizations of Bergman spaces on strongly convex domains","version":2},"cited_work":{"arxiv_id":"2506.02913","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.02913","snapshot_observed_at":"2026-07-03T13:28:18.469190Z","title":"Dual realizations of Bergman spaces on strongly convex domains","venue":"math.CV","work_id":"de6351b7-1633-4601-9571-c42c7d682380","year":2025},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"cited_paper":"/paper/2506.02913","citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:aa604aa1853f9919fcf747d30a57de1f228a9ddf51ac158176b0f88299700c56","observation_id":"66ff8cfc-9025-4dac-bbb0-ebed1229d386","resolution":{"observed_at":"2026-07-03T13:28:18.470603Z","resolver_source":"local_arxiv","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T08:09:52.700127Z","title":"Birkh¨ auser, 2013","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:4edb15296deb1d6db81d4251233772e72563f09f8425a03bc2b6827d266de18d","observation_id":"7a2647a4-a73c-4483-b1ed-dd593de4b13c","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:c3d55a1a0dc0b2067e3d9fd3f8474f12378488184b554938380a7c2b53e62e9c","observation_id":"5a927470-bb37-4bdf-99a7-097fb4e56a0e","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"Numerical integration, 1–24, NATO Adv","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:1b8314f7df05404973a8af9973513f226498d3e5353f64728049bcde49171dec","observation_id":"374adcc3-83a2-4290-82ef-615de4e65cf1","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"Oxford Math","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:da2e3cc0b6c5ab2721ffbc6fd9fae401fc4004adea0cf91cff87cfa3f460f751","observation_id":"53cea130-f1d7-4951-b434-b94f097c3c5f","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"Duke Math","venue":null,"work_id":null,"year":1939},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:ee15683f7a0d3824a8e74ca13c79aceb83f5f98b30541ea773e2f20c7080d58f","observation_id":"caac45bc-f13f-4e10-b868-2959d3967213","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:5706425ef030475127705fa05f932ddcaf2787dad065032e0aac65fefc30cee6","observation_id":"dc8041e2-e43b-4d4d-ae8e-0da10b0614dc","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:d40db3556ac099c16de46cbf5649bbdb754a1173a840fe1d1beb7c6c32daa262","observation_id":"86e05a39-1323-4208-8022-172fdeebf1a4","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"M.; Shananin, A","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:50959c9885cbaf05597480e96eadc984f3f96b89c990afdee6135c6f02f7c947","observation_id":"69dd68ee-fc58-4d33-a589-528b4fd538de","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:12d87b691f45f4ac2dc1f131a2fd5f6d4237a9a7e531e3afe0cb0031373d4ab5","observation_id":"494d89fa-f24d-4479-ab32-035883d5f166","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:f434e17dbdd44a03439a09ce25c54d030503fdbdec0a32ef04830a1200bc6911","observation_id":"b274ea7b-4a46-4230-9777-8bff878c11c7","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:d1b8cdfd9f3e41556346187df1b783822703adf18066b345baa8f7a7e7f74131","observation_id":"b454a8c5-3ee2-4acd-8683-a8ef4c25306f","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"London Math","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:34371a2cff60db7e839b38daea455fb552e76a0a640e142441628059533603ea","observation_id":"1abae6f2-2644-42bc-8aed-703e78cd739f","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"Illinois J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:bf47b0909958a297fa2fdffe3d3135adf7627f6d62e4b32a39cf372feb98e156","observation_id":"40bb60df-4899-4e45-969a-0ffd44236155","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:6dc046416138f22d4032c4066b77e0559b06e2352de3953b7e3981fab7b16c28","observation_id":"b372b7b3-6abf-45aa-90b8-9f0014afd655","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.08931","last_updated":"2023-07-22T09:31:02Z","snapshot_observed_at":"2026-07-06T14:43:23.855697Z","submitted_at":"2023-01-21T10:00:54Z","title":"Exponential sum approximations of finite completely monotonic functions","version":3},"cited_work":{"arxiv_id":"2301.08931","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2301.08931","snapshot_observed_at":"2026-07-03T13:28:18.471906Z","title":"M.Exponential sum approximations of finite completely monotonic func- tions","venue":null,"work_id":"f47f4bd9-73ed-4f8d-ae8c-e02a19df19fe","year":null},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"cited_paper":"/paper/2301.08931","citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:e89a6ec8031dee8cf800bf69ba19c5e79b2b7b92258301fd26dde68ea4058e97","observation_id":"f64ef5f3-d737-44f8-b2d9-fa9e7b419f0c","resolution":{"observed_at":"2026-07-03T13:28:18.473665Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T08:09:52.700127Z","title":"Imperial College Press, London, 2010","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:4ac482671a09743ebc4854eab55d1849a177267d9f2585a6af24ea4ba94ef6f0","observation_id":"e1728aac-0151-4518-bd9f-7d9a00eff7f2","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"J.; Anderssen, R","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:67bebbcca85332646daa7c2be7b1a03c08e6c49e7e82f4aff0f7e8234aba888f","observation_id":"f321110a-f605-4c19-a322-42ebcb37eeab","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"S.Power series equivalent to rational functions: a shifting-origin Kro- necker type theorem, and normality of Pad´ e tables","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:fbc6c80521b940ef063e288d2a232b5896e051c1b945be2f0575aceb5c075876","observation_id":"3200a8d7-3074-4ab1-8a98-a2635d03cabc","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"S.Asymptotic characteristics of entire functions and their applications in mathematics and biophysics","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:0885ca3a9a5a4479e1a89cd38e176c343a78126f7a56393a95385b1100ec9511","observation_id":"da5792b8-8ad7-4efb-9b19-93ae39490f46","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:040c474217cfdea29a6aae0f2aa2a5bf831a1222922d4e96dc1a80a0e44c89b1","observation_id":"b108d82c-ff83-4dde-9181-393da3a4f7c7","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"Supplementary material available online","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:9f671764252b3a6a8d9ea4b7d1a517d2275b20560e4d68305051818e0a885485","observation_id":"c086b039-3ac2-44ef-b15d-5de9ddff82ae","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:96ebdda317bf129ba1a54aad63ec92b97344a87b38fe1b6e3b01e0587cbe14f3","observation_id":"cc689f24-d6a4-4efe-acb8-1aab68ca353b","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:017047daa329da1ce843e91bd0a365471f1a44379e0d0ab8e48b0c359471e235","observation_id":"9e53ca0e-a2f2-44b7-b38f-c2671f3b485a","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"Compact Textbooks in Mathematics","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:74ade90108ac77392db4807ace0cd7d5830955fe957d3b876da63c135992649a","observation_id":"7fe0c2f9-3cd2-4f0b-9382-64ba740e9059","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:a3376f0b83feee53912cfdd1d269932582378b5fc71d588af69777aa8b5f4457","observation_id":"e1dd6f1f-453e-4f51-8671-24e2e3b5ed9d","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"P.; Denisjuk, A","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:4e3047953708274874d2b81dee8651150143cfd44147cdd526da0db1b2468768","observation_id":"d632e9a0-4b41-4ad3-90d1-f0bb5035cfa7","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:d190b63452598b6c598eab1442458332d939f5c9364d12a846657f03db26f893","observation_id":"cc371a8c-9c2f-473e-9602-236893319ed4","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:c64d26fc13c117a23b0a6f027bfe8e51f81f27c13f6645abc5c862c64c79890d","observation_id":"4991b6f5-39c5-4f53-8f33-e9d6ba1cbbb9","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:5a439e8b970eaab90e886707a42a2de9f3e6adb58b1cf5d00f43c8041de89b7a","observation_id":"645a21de-d8f4-4d5c-803f-44b1f442f6d2","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"Theory and applications.Second edition","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:40f1ecaeac8c267ee8aea6f84175f4bd0aaf215ce319ab82e498a98b5127e9b8","observation_id":"fe825134-1e48-4a68-b598-ade52845f271","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:9c26d277ff9bf9603ba1382847c954324cb629d706f46ca6f2a620097cbc7ab4","observation_id":"e0bd0379-1e8e-457a-8ef3-86ba20068c07","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:a18e4b52a75ab6ef024e2538e3be36683a22a3d22a590cdf094416c2b2b67853","observation_id":"2621f89a-1b1d-4497-ac5e-00f9c8330082","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:1be5f205caca172bfc79c989410ddce1d9bd755fa7ec685330e6db635678d601","observation_id":"32518d1d-ed25-4b26-8dbb-00f34b29c2f3","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"M; Weiss, G.Introduction to Fourier analysis on Euclidean spaces., 1","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:0adacfd625da31c5880b1ddff4f780e8408523592ec0f1cc18b7f94cdb84bec7","observation_id":"2fca8f8e-b541-4879-8107-4b34ad310cb1","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"F.Bochner and Bernstein theorems via the nuclear integral repre- sentation theorem","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:6feac9cd93a6e63871f891c118cd84e45723d40bb8e308beb9a54250ba9f8b5d","observation_id":"e67d654c-f047-4fd1-b2ae-e5456080fc8d","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"Princeton Math","venue":null,"work_id":null,"year":1941},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:fb11e8cb48631713d2be8eb212635b31ecb0e13342687568e3cec90ef345101b","observation_id":"ea306667-9f47-4e59-9fae-76da91084b43","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","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":"2026-06-27T08:09:52.700127Z","title":"A spectral theory of noncommuting operators","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-27T08:09:52.700127Z"},"links":{"citing_paper":"/paper/2606.12102"},"observation_digest":"sha256:bf70a47ba7cc818fb2186577e16e6676421c376f57ddbe1aaeff98b46ba79881","observation_id":"7ad132d8-a081-42bb-98e2-a68679aa561b","resolution":{"observed_at":"2026-06-27T08:09:52.700127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.12102","last_updated":"2026-06-10T13:57:36Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-08T15:48:06.192616Z","submitted_at":"2026-06-10T13:57:36Z","title":"Holomorphic Interpolation of Multivariate Completely Monotone Functions"},"reference_resolution":{"displayed":50,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":47,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":50},"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 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2606.12102."}