{"as_of":"2026-08-10T19:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3d4b0195d7db8104b12841ce3e5496ae18931ee9495b71700065c8863df72101","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":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":19,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T16:22:12.804550Z","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":"2026-07-04T20:20:07.281660Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":"2407.21194","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-07-04T20:20:07.281660Z","title":"[Ser23] S","venue":null,"work_id":"eb83d32a-5f20-4b3a-8b33-a5eeecf576dc","year":2024},"citing_paper":{"arxiv_id":"2410.17022","last_updated":"2026-02-27T10:25:41Z","snapshot_observed_at":"2026-08-02T19:18:39.245942Z","submitted_at":"2024-10-22T13:47:47Z","title":"An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-23T19:02:27.187841Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2410.17022"},"observation_digest":"sha256:241d324c652476f45f98019d717cccb29c3f7b681a055fa70aff0304b96b7573","observation_id":"27bdf50f-319b-45f0-8bea-c917aa0cc7f0","resolution":{"observed_at":"2026-05-23T19:03:21.209377Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-08T16:22:12.804550Z","title":"Lectures on coulomb and riesz gases,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.06256","last_updated":"2026-08-03T11:39:35Z","snapshot_observed_at":"2026-08-10T06:28:42.829211Z","submitted_at":"2025-02-10T08:45:21Z","title":"Dynamical Spreading and Memory Retention Under Power Law Potential","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T16:22:12.804550Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2502.06256"},"observation_digest":"sha256:a0adaff550214ae2615594c826cafdc0d7c873d40be77e8345a492f619b7e9a2","observation_id":"48275589-46c4-452b-8b11-fca346762798","resolution":{"observed_at":"2026-08-08T16:22:12.804550Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":"2407.21194","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-07-04T20:20:07.281660Z","title":"[Ser23] S","venue":null,"work_id":"eb83d32a-5f20-4b3a-8b33-a5eeecf576dc","year":2024},"citing_paper":{"arxiv_id":"2505.12271","last_updated":"2026-04-09T06:54:37Z","snapshot_observed_at":"2026-08-08T12:40:28.139601Z","submitted_at":"2025-05-18T07:21:33Z","title":"Spectral moments of complex and symplectic non-Hermitian random matrices","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-22T15:00:00.381109Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2505.12271"},"observation_digest":"sha256:b7d03df6238eedee2844f5ff62d2849d8958fab476e473b8a4f4b2b72252adf2","observation_id":"1c670a06-4b20-4876-857d-9ce82baf7083","resolution":{"observed_at":"2026-05-22T15:01:42.457892Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":"2407.21194","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-07-04T20:20:07.281660Z","title":"[Ser23] S","venue":null,"work_id":"eb83d32a-5f20-4b3a-8b33-a5eeecf576dc","year":2024},"citing_paper":{"arxiv_id":"2505.19787","last_updated":"2026-04-17T08:28:17Z","snapshot_observed_at":"2026-07-06T21:30:32.739008Z","submitted_at":"2025-05-26T10:18:12Z","title":"Entropy-Cost Inequalities for McKean-Vlasov SDEs with Singular Interactions","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-19T13:57:38.704983Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2505.19787"},"observation_digest":"sha256:c0e273792e3accf739064c2f9afc6468760fa09ae8ede4ebbe257e2eb9bb0280","observation_id":"98f57ae5-206c-485f-a380-f757d30b8702","resolution":{"observed_at":"2026-05-19T14:02:19.759037Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-07T04:27:45.204642Z","title":"Lectures on Coulomb and Riesz gases","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.11707","last_updated":"2025-08-14T14:58:24Z","snapshot_observed_at":"2026-08-09T00:01:49.908941Z","submitted_at":"2025-06-13T12:21:21Z","title":"Fluctuations of two-dimensional determinantal processes associated with Berezin--Toeplitz operators","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T04:27:45.204642Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2506.11707"},"observation_digest":"sha256:94456ba972eb5def47317743381c916dad4905333e4d3fc4ee56f4a3f6a925d2","observation_id":"76a6f45c-9c77-4a7d-821d-8eca759d94d4","resolution":{"observed_at":"2026-08-07T04:27:45.204642Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-07T00:14:21.486541Z","title":"https://arxiv.org/abs/2407.21194","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.14738","last_updated":"2025-06-17T17:19:33Z","snapshot_observed_at":"2026-08-07T00:07:33.587358Z","submitted_at":"2025-06-17T17:19:33Z","title":"Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T00:14:21.486541Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2506.14738"},"observation_digest":"sha256:c95ad5563723cbe41326e0dbbde71cc526f9585e6323777e655b82225c4e3692","observation_id":"40182e73-4225-4552-af0c-906d3c20ea90","resolution":{"observed_at":"2026-08-07T00:14:21.486541Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-06T22:27:17.409546Z","title":"Serfaty, Lectures on Coulomb and Riesz gases , arXiv e-prints (2024), arXiv:2407.21194","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.22083","last_updated":"2025-06-27T10:15:08Z","snapshot_observed_at":"2026-08-10T07:05:40.286342Z","submitted_at":"2025-06-27T10:15:08Z","title":"Sharp mean-field estimates for the repulsive log gas in any dimension","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T22:27:17.409546Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2506.22083"},"observation_digest":"sha256:c58899178c719ce64d729e4671f03b2105202bd9ccb266d2f90315f754633ba1","observation_id":"1c90ae45-0b0c-4f03-8966-ee33572dc397","resolution":{"observed_at":"2026-08-06T22:27:17.409546Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-06T18:40:15.452454Z","title":"Ram´ ırez, Brian Rider, and B´ alint Vir´ ag,Beta ensembles, stochastic airy spectrum, and a diffusion, Journal of the American Mathematical Society 24 (2011), no","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.08198","last_updated":"2025-08-20T11:48:25Z","snapshot_observed_at":"2026-08-09T02:13:26.485989Z","submitted_at":"2025-07-10T22:08:50Z","title":"Poisson Statistics for Coulomb Gases at Intermediate Temperature Regimes","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-06T18:40:15.452454Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2507.08198"},"observation_digest":"sha256:5154cd1bf52343e1280f54711ce2feb7565886a0b98db9bae73f949ca180cff5","observation_id":"cdd27e9b-04e0-41eb-b587-a2ac565ee515","resolution":{"observed_at":"2026-08-06T18:40:15.452454Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-04T12:55:51.294748Z","title":"Lectures on Coulomb and Riesz gases","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.01745","last_updated":"2026-07-31T07:54:22Z","snapshot_observed_at":"2026-08-10T05:12:44.284740Z","submitted_at":"2025-10-02T07:31:59Z","title":"Free-energy variations for determinantal 2D plasmas with holes","version":4},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T12:55:51.294748Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2510.01745"},"observation_digest":"sha256:ace6dd21c2ec86082f6767bd605d8757615d5571b0dfce3fca2644a34ba94b03","observation_id":"91502829-2888-4a30-9a59-3e213f881e18","resolution":{"observed_at":"2026-08-04T12:55:51.294748Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-03T05:17:15.157012Z","title":"Serfaty,Lectures on Coulomb and Riesz Gases, arXiv:2407.21194","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.03047","last_updated":"2026-02-03T03:13:12Z","snapshot_observed_at":"2026-08-03T05:17:05.508882Z","submitted_at":"2026-02-03T03:13:12Z","title":"Equilibrium measures for higher dimensional rotationally symmetric Riesz gases","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-03T05:17:15.157012Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2602.03047"},"observation_digest":"sha256:3c9ed160f909edf3c1d7d8fb0fcbc6b23e2375056f2e7c3f4666cc6a76bd62a2","observation_id":"9e663fa4-3870-4598-b637-f6acf1b0a407","resolution":{"observed_at":"2026-08-03T05:17:15.157012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-03T01:06:33.084498Z","title":"Serfaty, Lectures on Coulomb and Riesz Gases,arXiv:2407.21194","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.10841","last_updated":"2026-05-25T00:43:15Z","snapshot_observed_at":"2026-08-08T17:37:53.496870Z","submitted_at":"2026-02-11T13:28:28Z","title":"McKean-Vlasov SDEs with Local Distributional Interactions: Well-Posedness and Entropy-Cost Estimates","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T01:06:33.084498Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2602.10841"},"observation_digest":"sha256:1b7649df22224a4077a379b086784edf9d7a5b9fff50fcd2930985801f056c48","observation_id":"6d052e3c-0341-4b15-b516-e8bf85e8edb0","resolution":{"observed_at":"2026-08-03T01:06:33.084498Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":"2407.21194","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-07-04T20:20:07.281660Z","title":"[Ser23] S","venue":null,"work_id":"eb83d32a-5f20-4b3a-8b33-a5eeecf576dc","year":2024},"citing_paper":{"arxiv_id":"2604.05736","last_updated":"2026-07-01T06:22:00Z","snapshot_observed_at":"2026-07-13T09:19:35.142380Z","submitted_at":"2026-04-07T11:38:04Z","title":"The spatio-temporal statistical structure of the turbulent dissipation field and its stochastic representation as a Gaussian Multiplicative Chaos","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-10T18:59:53.960869Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2604.05736"},"observation_digest":"sha256:c6ed534814a2daa04411f252e62e9f8111d23d3d661187a3d9cee49b7ba73da9","observation_id":"2f0ab16d-870e-4a23-8228-f8890ecd1956","resolution":{"observed_at":"2026-05-10T23:35:51.792925Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":"2407.21194","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-07-04T20:20:07.281660Z","title":"[Ser23] S","venue":null,"work_id":"eb83d32a-5f20-4b3a-8b33-a5eeecf576dc","year":2024},"citing_paper":{"arxiv_id":"2605.18198","last_updated":"2026-05-18T10:37:58Z","snapshot_observed_at":"2026-07-06T23:29:04.241654Z","submitted_at":"2026-05-18T10:37:58Z","title":"Large deviations of crowding in finite $\\beta$-ensembles","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-20T00:28:49.359607Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2605.18198"},"observation_digest":"sha256:9b405aed0edd1d09767c5c4771e2b087a58d2531cf37525a0699795e5ed43153","observation_id":"f56841f8-b29b-45cf-bc23-063e9928e668","resolution":{"observed_at":"2026-05-20T00:32:54.530594Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":"2407.21194","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-07-04T20:20:07.281660Z","title":"[Ser23] S","venue":null,"work_id":"eb83d32a-5f20-4b3a-8b33-a5eeecf576dc","year":2024},"citing_paper":{"arxiv_id":"2605.29594","last_updated":"2026-05-28T08:35:51Z","snapshot_observed_at":"2026-08-09T01:01:05.462679Z","submitted_at":"2026-05-28T08:35:51Z","title":"Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-06-29T00:54:43.316943Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2605.29594"},"observation_digest":"sha256:178cc89c562f4aafea6e34c07689b4560017cd5d7cc08e4e3973def96d4aa474","observation_id":"406f4cee-20a6-4aff-9fb5-f42ce5231b1a","resolution":{"observed_at":"2026-07-01T19:06:03.287989Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":"2407.21194","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-07-04T20:20:07.281660Z","title":"[Ser23] S","venue":null,"work_id":"eb83d32a-5f20-4b3a-8b33-a5eeecf576dc","year":2024},"citing_paper":{"arxiv_id":"2606.22940","last_updated":"2026-06-22T07:18:00Z","snapshot_observed_at":"2026-08-09T18:05:05.787145Z","submitted_at":"2026-06-22T07:18:00Z","title":"From smooth to discontinuous kernels: a variance transfer principle for hyperuniform processes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-26T08:00:44.006855Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2606.22940"},"observation_digest":"sha256:46fd4c9cb28df6aefa3b9327a9334b0353b46692d0dfc8869b8220c9ccfeadab","observation_id":"e15142c7-7506-4090-b1fe-0981ba440bd6","resolution":{"observed_at":"2026-07-04T11:29:50.168931Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":"2407.21194","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-07-04T20:20:07.281660Z","title":"[Ser23] S","venue":null,"work_id":"eb83d32a-5f20-4b3a-8b33-a5eeecf576dc","year":2024},"citing_paper":{"arxiv_id":"2606.25501","last_updated":"2026-06-24T07:34:18Z","snapshot_observed_at":"2026-08-08T14:54:42.716848Z","submitted_at":"2026-06-24T07:34:18Z","title":"An RDT based approach to large deviations of Wishart and Wigner matrices spectral edges","version":1},"reference_index":111,"source":"pdf_text","source_observed_at":"2026-06-25T20:20:40.695236Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2606.25501"},"observation_digest":"sha256:d8a6c8b6057a51b4bdb12cdb7b24dd4222af18184c89de5ee58a59f7b60cbb83","observation_id":"5f065ef9-21b1-424f-8a57-647d0bc6458d","resolution":{"observed_at":"2026-07-04T20:20:07.283614Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-02T06:36:09.204217Z","title":"Lectures on C oulomb and R iesz Gases , volume 70 of Colloquium Publications","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.12579","last_updated":"2026-07-29T17:47:30Z","snapshot_observed_at":"2026-08-02T06:36:03.025409Z","submitted_at":"2026-07-14T09:49:46Z","title":"Wasserstein gradient flows for Coulomb discrepancies","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-02T06:36:09.204217Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2607.12579"},"observation_digest":"sha256:7bc6047ab41eaa233dfd9625538071daf2c8400d7fc2095dadb7018be1e72276","observation_id":"dc2a7668-2f73-40e0-97bc-1f41f88f30da","resolution":{"observed_at":"2026-08-02T06:36:09.204217Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-08-01T03:15:05.514194Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.25211","last_updated":"2026-07-28T02:34:29Z","snapshot_observed_at":"2026-08-09T22:42:24.886398Z","submitted_at":"2026-07-28T02:34:29Z","title":"An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T03:15:05.514194Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2607.25211"},"observation_digest":"sha256:8b660c30d45ea66029068996141fff3a531d677b3788af097a16c960a4d48823","observation_id":"91f3a507-e2db-467a-8c7f-c2a296ab8bd9","resolution":{"observed_at":"2026-08-01T03:15:05.514194Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21194","snapshot_observed_at":"2026-07-30T21:15:23.724094Z","title":"Serfaty,Lectures on Coulomb and Riesz Gases, Preprint arXiv:2407.21194, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.26782","last_updated":"2026-07-29T11:25:15Z","snapshot_observed_at":"2026-08-07T13:28:29.027198Z","submitted_at":"2026-07-29T11:25:15Z","title":"Nonlinear Stability and Instability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with General Pressure Laws","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-07-30T21:15:23.724094Z"},"links":{"cited_paper":"/paper/2407.21194","citing_paper":"/paper/2607.26782"},"observation_digest":"sha256:0b6175563c354f53d5a84052b4590dee1dbcc9b100fc7aa6d249b38dd8a0b4a7","observation_id":"73b7eb6b-7636-46cb-8ce8-bf45dd41c4d1","resolution":{"observed_at":"2026-07-30T21:15:23.724094Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2407.21194/citation-record","integrity":"/paper/2407.21194/integrity","json":"/paper/2407.21194/citation-record.json","paper":"/paper/2407.21194"},"outbound":[],"paper":{"arxiv_id":"2407.21194","last_updated":"2024-07-30T21:02:49Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-04T19:57:35.170770Z","submitted_at":"2024-07-30T21:02:49Z","title":"Lectures on Coulomb and Riesz gases"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 19 inbound Pith citation observations for arXiv:2407.21194."}