{"as_of":"2026-08-08T04:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bc50bd3123ea50de10c4d50fc4f83320787a170c0c64220bbc070a3ed72aa0e4","coverage":[{"denominator":76,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":76,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:27:31.097479Z","state":"measured"},{"denominator":79,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":79,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T08:59:13.751434Z","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":"2026-06-29T13:33:28.620912Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.05907","snapshot_observed_at":"2026-08-04T08:59:13.751434Z","title":"Klatt, G","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.18392","last_updated":"2026-07-07T14:18:31Z","snapshot_observed_at":"2026-08-04T08:59:05.596154Z","submitted_at":"2025-10-21T08:13:03Z","title":"Hyperuniform random measures, transport and rigidity","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-04T08:59:13.751434Z"},"links":{"cited_paper":"/paper/2506.05907","citing_paper":"/paper/2510.18392"},"observation_digest":"sha256:7ff78e78f22b1c186da6b5de8deae3af2758260ce787d3fea84d0f394cd8b5f2","observation_id":"78bdcc41-1ed5-4200-8af3-7a10b687e19c","resolution":{"observed_at":"2026-08-04T08:59:13.751434Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"cited_work":{"arxiv_id":"2506.05907","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.05907","snapshot_observed_at":"2026-06-29T13:33:28.620912Z","title":"Invariant transports of sta- tionary random measures: asymptotic variance, hyperuniformity, and examples","venue":null,"work_id":"72335401-310d-46c7-9024-f1fd2e2eb728","year":2025},"citing_paper":{"arxiv_id":"2605.22803","last_updated":"2026-05-21T17:54:43Z","snapshot_observed_at":"2026-07-06T23:33:04.856017Z","submitted_at":"2026-05-21T17:54:43Z","title":"Persistence of asymptotic variance under transport: from hyperfluctuation to stealthy hyperuniformity","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-22T02:59:13.346768Z"},"links":{"cited_paper":"/paper/2506.05907","citing_paper":"/paper/2605.22803"},"observation_digest":"sha256:51afac6ec7c0e207b251d45b51265acc40952e5d8354854a1aff0d225845bb54","observation_id":"84fc0915-537f-49db-b3d1-f86562127e47","resolution":{"observed_at":"2026-05-22T03:00:58.919643Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"cited_work":{"arxiv_id":"2506.05907","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.05907","snapshot_observed_at":"2026-06-29T13:33:28.620912Z","title":"Invariant transports of sta- tionary random measures: asymptotic variance, hyperuniformity, and examples","venue":null,"work_id":"72335401-310d-46c7-9024-f1fd2e2eb728","year":2025},"citing_paper":{"arxiv_id":"2605.28430","last_updated":"2026-05-27T12:59:42Z","snapshot_observed_at":"2026-08-02T13:23:18.315257Z","submitted_at":"2026-05-27T12:59:42Z","title":"Limit theory for Lipschitz-localized statistics in random geometric models","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-06-29T10:24:27.695339Z"},"links":{"cited_paper":"/paper/2506.05907","citing_paper":"/paper/2605.28430"},"observation_digest":"sha256:6d28a68ffec4dba780f7a5f6de0b45065875be0b9718f0efc5bf89afccd6f0c5","observation_id":"923fdada-bbf1-48fe-8a6c-0dcaf6c0c534","resolution":{"observed_at":"2026-06-29T13:33:28.622470Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.05907/citation-record","integrity":"/paper/2506.05907/integrity","json":"/paper/2506.05907/citation-record.json","paper":"/paper/2506.05907"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.845980Z","title":"Ayyer, S","venue":null,"work_id":"6ef8c10f-1a3b-4e47-9a51-67c324bab5dd","year":2023},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.833256Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:cad1ad3242e5789feb50ea1cfeb955cfca23c1113c4e9d2068485c7a8613bc69","observation_id":"bde308cf-cdf3-4257-8ee2-3fc21a106e25","resolution":{"observed_at":"2026-08-07T10:27:31.848114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.840080Z","title":"Baccelli, B","venue":null,"work_id":"37b9af89-484a-4853-b379-20de5b7adc78","year":2020},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.923847Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:9e55a71c99b0736adb3b3faea737f40e0b76d325678f404bb3c9ae996a75f4ef","observation_id":"71b2d406-d3bb-466f-92a5-982bf0dfa884","resolution":{"observed_at":"2026-08-07T10:27:31.842062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.834305Z","title":"Berg and G","venue":null,"work_id":"1eb7fd01-37de-40ba-a71b-a3626d3726ff","year":1975},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.926287Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:ff1206f7cd1bfbefbad7e6cf02a4b695b8375697035288819d59800c49555fc8","observation_id":"273c4307-bb4a-47a8-8d53-f85549e8ecce","resolution":{"observed_at":"2026-08-07T10:27:31.836357Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"edu/1000150","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.455188Z","title":null,"venue":null,"work_id":"411f650c-3f4b-4ea8-94e0-0d6d104ee90d","year":2022},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.928964Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:7ec5e1ab69d069b47a3d841f5bcd7f2440afdb4eae6953719c8bed19c8c0ee00","observation_id":"9f5a813d-c37d-4633-a627-bbcfccc8bdac","resolution":{"observed_at":"2026-08-07T10:27:31.458464Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.827882Z","title":"Bj¨ orklund, and T","venue":null,"work_id":"241c2a5a-f60f-433e-a775-6e476fa3dadb","year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.931352Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:016f7c6be46e173cdbc88d1f0a79d18152df12e0ea361f8bcde1f4bbc0e58434","observation_id":"4a8135ca-7362-47e8-84cd-024b5379466c","resolution":{"observed_at":"2026-08-07T10:27:31.830012Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.821541Z","title":"B laszczyszyn (1995)","venue":null,"work_id":"2beceefe-36ff-432c-86bc-afba9f9a8456","year":1995},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.933759Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:9afe355824b2da12d093661cad1242004e2787c290ad8702ecf4e5242b9a77ad","observation_id":"9f9dea55-82b7-46a7-afe6-7e140a7a197f","resolution":{"observed_at":"2026-08-07T10:27:31.823635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.814732Z","title":"B laszczyszyn, E","venue":null,"work_id":"649df28d-2bf0-4144-8875-bcb263d0af06","year":1997},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.936435Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:23f36959ec74187f8498018c3c1f2c6f7a6cc6c1b371df66a1729fbb11b999ee","observation_id":"cb32eaf4-b64a-468a-964c-275f58263017","resolution":{"observed_at":"2026-08-07T10:27:31.817614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.808785Z","title":"B laszczyszyn, D","venue":null,"work_id":"d095769b-f540-4a36-87be-565d544dd0a1","year":2019},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.938696Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:725f436d81090401e582d821f5b5f26965b568f678875eaf27a172ce8b414f66","observation_id":"8e31eb4a-b4de-4662-9bb4-12c655519768","resolution":{"observed_at":"2026-08-07T10:27:31.810724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.796115Z","title":"Limit theory for geometric statistics of point processes having fast decay of correlations","venue":null,"work_id":"5434c4d0-2a80-48e6-8c3b-8c9ffa2eb086","year":2019},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.943795Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:86bdf8732fe2f0e925a78c6328ae535123dccfd16477470b0ccdfc64df96985d","observation_id":"e36905bb-6370-447b-845b-b0725a09fac7","resolution":{"observed_at":"2026-08-07T10:27:31.798575Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.789801Z","title":"Br´ emaud (2020).Point process calculus in time and space","venue":null,"work_id":"9e131177-db1d-4533-a23e-62e1b88cfab8","year":2020},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.946002Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:9c2abe0850d9383da4704babf732e8ce07c25c59c551035acbe82fa16d6f60b8","observation_id":"fbff3e7a-d89a-449e-b01e-85f8f32df7a8","resolution":{"observed_at":"2026-08-07T10:27:31.791878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.09549","last_updated":"2026-06-10T15:20:41Z","snapshot_observed_at":"2026-07-06T18:00:12.130869Z","submitted_at":"2024-04-15T08:15:54Z","title":"On the Wasserstein distance between a hyperuniform point process and its mean","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.09549","snapshot_observed_at":"2026-08-07T10:27:30.948231Z","title":"Butez, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.948231Z"},"links":{"cited_paper":"/paper/2404.09549","citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:04ce54eef46d64e585198a1093b8cab9ea27f93aec545ba081ca7da5d7e6bcfd","observation_id":"b5a1e01b-c9c9-4819-9c5a-ce92f6421ba5","resolution":{"observed_at":"2026-08-07T10:27:30.948231Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.783864Z","title":"Chatterjee, R","venue":null,"work_id":"9d6b247a-40f8-4bcf-af43-5f149faaf4a0","year":2010},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.951244Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:2ed63e21458719542a1a64f5847847f716cd168b9fe703d4530a6423738be52e","observation_id":"b27224f0-dc16-49d6-af93-4804cfb0c8b3","resolution":{"observed_at":"2026-08-07T10:27:31.786040Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.777783Z","title":null,"venue":null,"work_id":"86ee2770-ee42-4926-8931-892755eed6c5","year":2021},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.953393Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:0d8e1a2a45a3068918d5837588227f0e607d682dce66ad3b348fd664cc8e0384","observation_id":"b9785f1c-0b0b-47ea-844d-919e4cf8cfbf","resolution":{"observed_at":"2026-08-07T10:27:31.779852Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.771647Z","title":"Cort´ e, P","venue":null,"work_id":"caf3ce48-a837-4d96-892f-f4261c3ceeb5","year":2008},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.955646Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:4afb5fb8aff29667a293532833602398f51af61f870c158d7efd4a8a135d3def","observation_id":"89490244-a937-40ae-8819-ae454a9c01eb","resolution":{"observed_at":"2026-08-07T10:27:31.773612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.765357Z","title":"Coste (2021)","venue":null,"work_id":"457d0525-b9bb-402a-824c-77295771ed40","year":2021},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.957725Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:0cf08bdbe1adea55e08d39ccfa3cd6d513fbf3eeb4a2ddea99ef28b49095ebd2","observation_id":"c1a8655a-7470-40ab-ae97-d8c8cfe4a217","resolution":{"observed_at":"2026-08-07T10:27:31.767858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.759295Z","title":"De Luca, X","venue":null,"work_id":"089fd9ac-aa13-4a96-aa12-b75ca4a82e55","year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.959749Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:1b08f289982bc74a2972a93d8924f6a488f4b39b6cb2c3b6efa106c2467405db","observation_id":"e065d9be-ae2d-4b45-86f1-84fe11621c4b","resolution":{"observed_at":"2026-08-07T10:27:31.761362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19881","last_updated":"2026-06-11T05:45:20Z","snapshot_observed_at":"2026-08-07T07:27:25.847728Z","submitted_at":"2024-05-30T09:40:32Z","title":"(Non)-hyperuniformity of perturbed lattices","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19881","snapshot_observed_at":"2026-08-07T10:27:30.961806Z","title":"Dereudre, D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.961806Z"},"links":{"cited_paper":"/paper/2405.19881","citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:01848b60ba57ed6fcefea307053477bd3c7daf7d88544b3156fdd9b5c550e568","observation_id":"2633e47c-345e-450e-a300-7306a7f4a1eb","resolution":{"observed_at":"2026-08-07T10:27:30.961806Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.17276","last_updated":"2024-01-13T11:47:31Z","snapshot_observed_at":"2026-07-06T15:48:32.547396Z","submitted_at":"2023-06-29T19:33:37Z","title":"Non-hyperuniformity of Gibbs point processes with short range interaction","version":2},"cited_work":{"arxiv_id":"2306.17276","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.17276","snapshot_observed_at":"2026-08-07T10:27:31.387160Z","title":"Non-hyperuniformity of Gibbs point processes with short range interaction","venue":"math.PR","work_id":"45e9dec6-f026-4711-9ae0-ce79fcf0e0d8","year":2023},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.964194Z"},"links":{"cited_paper":"/paper/2306.17276","citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:4e9f1b2ad356f356c7c9b64a374e3649519f4cea4bf1250cbd7b6a9928fc7914","observation_id":"4c956cf9-c200-4c9e-ba43-7be88a7c231f","resolution":{"observed_at":"2026-08-07T10:27:31.390142Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12807","last_updated":"2025-05-24T01:24:42Z","snapshot_observed_at":"2026-07-06T20:24:22.763735Z","submitted_at":"2025-01-22T11:32:50Z","title":"Weighted Point Configurations with Hyperuniformity: An Ecological Example and Models","version":3},"cited_work":{"arxiv_id":"2501.12807","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.12807","snapshot_observed_at":"2026-08-07T10:27:31.378280Z","title":"Weighted Point Configurations with Hyperuniformity: An Ecological Example and Models","venue":"cond-mat.stat-mech","work_id":"f282e65b-cc42-4861-8d7e-565114fc9a27","year":2025},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.966827Z"},"links":{"cited_paper":"/paper/2501.12807","citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:6399462051b3a95abd467f57c166ab2c1d915ec44953151dc4c9554c1f5ec6aa","observation_id":"688e8fea-01fe-4aa6-97d0-2abc51a7cfba","resolution":{"observed_at":"2026-08-07T10:27:31.380795Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.753563Z","title":"Erbar, M","venue":null,"work_id":"5bb261e5-2c7c-4a00-b520-f74ba5a769cf","year":2025},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.969062Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:3acd78ac26a0d4ad0b8e844f5dde57ef79288336bb48cb704d7219691be330c2","observation_id":"bf3db7aa-a781-4582-aeb4-3b3842d6910c","resolution":{"observed_at":"2026-08-07T10:27:31.755527Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.747751Z","title":"Farago, A","venue":null,"work_id":"88b458eb-f524-4fb1-9451-ef9cf7137160","year":2014},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.971822Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:d198c7e3594e02550c0a750b9cc5cdc6b8dd9efda094024d4dbe85982a614b78","observation_id":"43c6e251-756f-4034-86be-575b0fb78801","resolution":{"observed_at":"2026-08-07T10:27:31.749741Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.12179","last_updated":"2026-06-19T12:44:13Z","snapshot_observed_at":"2026-08-07T17:01:47.158540Z","submitted_at":"2025-03-15T15:44:47Z","title":"Fitting regular point patterns with a hyperuniform perturbed lattice","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.12179","snapshot_observed_at":"2026-08-07T10:27:30.973940Z","title":"Flimmel (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.973940Z"},"links":{"cited_paper":"/paper/2503.12179","citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:deb51ce88caca73a1c02bbcd49523e563e4889d0dca87955f69ef9ab12806c7e","observation_id":"6a61a705-3827-4bcd-bfc2-6ee116587b7c","resolution":{"observed_at":"2026-08-07T10:27:30.973940Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.741512Z","title":"Gabrielli, M","venue":null,"work_id":"a3913d2d-b768-41f5-9587-3ec8c5200d4e","year":2002},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.976357Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:9b651a74b9f585cbff98d0a3655ca1e3bc6dc07835051e0e7e24adb4296ef6cf","observation_id":"d9ff6965-5cb6-46e8-96f1-377cf8e66af2","resolution":{"observed_at":"2026-08-07T10:27:31.743619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.735212Z","title":"Gabrielli (2004)","venue":null,"work_id":"3aece05f-b492-4355-adae-6dad320d41ce","year":2004},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.978366Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:2c8862d7e88d0524768b9e333d3e339e9450290a05b4af199c991278a3cf2599","observation_id":"769b6fe7-cebb-46d3-918d-0b30dd911789","resolution":{"observed_at":"2026-08-07T10:27:31.737716Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.729075Z","title":"Gabrielli, M","venue":null,"work_id":"2d4835ff-2985-40f5-837a-0be06e88bd2b","year":2008},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.980496Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:51fc9bc89e733910fef70d4fafad62c285e0e99241a833eb4ed1ab6ec0a3847c","observation_id":"4773ea8d-663b-4728-bc4d-00bc558292ad","resolution":{"observed_at":"2026-08-07T10:27:31.731174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.723193Z","title":"Gacs & D","venue":null,"work_id":"78423783-1fe0-4df1-9fab-67fabb461fbe","year":1975},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.983715Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:b853fdd1e082c02e24aaaf33b23e1038e06e14c21d9a42cf425b5bbb89e948b1","observation_id":"ef16e73e-929c-4b64-ad96-8e271780a997","resolution":{"observed_at":"2026-08-07T10:27:31.725244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.717464Z","title":"Ghosh and J","venue":null,"work_id":"856f138b-041a-4be9-bf3c-69da69ededed","year":2017},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.985977Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:78827c2c9f608553389bb8a05452f590da5ecdc19c19c3d05c1b0fc8cdf6dae5","observation_id":"5a545e0c-e398-44f6-99b5-66dddcf9313c","resolution":{"observed_at":"2026-08-07T10:27:31.719405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.711415Z","title":"Ghosh and J","venue":null,"work_id":"2ce3ed7c-97aa-49b2-9b1f-f8a5c44d8d00","year":2017},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.988203Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:60c371afac9e54075aaeb99f86422a1906b7b140481f8c53389c111621d2b970","observation_id":"d5288ce4-2737-4463-b931-e67661e4bc7b","resolution":{"observed_at":"2026-08-07T10:27:31.713540Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.16505","last_updated":"2024-01-29T19:23:12Z","snapshot_observed_at":"2026-07-06T17:22:07.248095Z","submitted_at":"2024-01-29T19:23:12Z","title":"Approach to Hyperuniformity of Steady States of Facilitated Exchange Processes","version":1},"cited_work":{"arxiv_id":"2401.16505","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.16505","snapshot_observed_at":"2026-08-07T10:27:31.362065Z","title":"Approach to Hyperuniformity of Steady States of Facilitated Exchange Processes","venue":"cond-mat.stat-mech","work_id":"f5e6c7f3-295b-4200-bc70-628a77cfb10b","year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.990357Z"},"links":{"cited_paper":"/paper/2401.16505","citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:25473c4ac75ded95a7306a0e4867946c79a3259ec3a874157d118deb57c39452","observation_id":"92794f77-f419-4fdb-9e12-7230142b3e3d","resolution":{"observed_at":"2026-08-07T10:27:31.364544Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.705758Z","title":"Georgii and T","venue":null,"work_id":"6f908d6e-eb95-469a-9d21-2bc49ec59749","year":1997},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.992762Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:1714350e6082a1b48363eb2574ba169465b39eedfe6ae137c07223178e6f5e00","observation_id":"b546003f-6724-436b-b9b9-d25e1c285eb3","resolution":{"observed_at":"2026-08-07T10:27:31.707786Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.700061Z","title":"Hanisch (1982)","venue":null,"work_id":"519ccd51-3902-465b-b8e4-1a7565502358","year":1982},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.995249Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:46bbf50190df1d5d1e5694d80a3c5e097d8c2226551517e0530e548ecb2f645a","observation_id":"383fac64-594d-47c4-86ae-864563e82479","resolution":{"observed_at":"2026-08-07T10:27:31.702048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.693976Z","title":"Hexner and D","venue":null,"work_id":"e59dc1ed-384d-4d0d-8abe-ae7f94f32f6b","year":2015},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.997335Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:d20860a8685d7018aa9686b2dfaf256d440f6e4ee3df448f1ca4ae44eb790f5e","observation_id":"f81952bb-1644-40da-91e3-94300f264f4a","resolution":{"observed_at":"2026-08-07T10:27:31.696262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.688477Z","title":"Hexner and D","venue":null,"work_id":"bf192ee9-92fa-4106-9580-7701e90935d9","year":2017},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.999689Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:f49b2b591297f7e7f27911a9d78cb60f8d863a0a46852c8d5138cf2d6d00de9b","observation_id":"4881a66f-a613-4c6a-a2ea-a1ed5df88b41","resolution":{"observed_at":"2026-08-07T10:27:31.690393Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.682749Z","title":"Hexner, P","venue":null,"work_id":"93e2dd97-3278-417b-b7b4-2c188f70a0ef","year":2017},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.001763Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:e91d489f376c312219ef8281298e6b29b12205710ca8ebaf9fd36deb934e915e","observation_id":"20af9dc1-0680-4afe-a034-9dce7770cbd4","resolution":{"observed_at":"2026-08-07T10:27:31.684774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.676651Z","title":"Hoffman, A.E","venue":null,"work_id":"db391f64-209b-4927-ba8b-04c05c72bc1d","year":2006},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.004435Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:7ebba5d02bfad5444a1755a90c21d7cd426b13d573c07ad7a9e7dd62876fed31","observation_id":"16fa9dcd-c279-42ca-b92d-84cc38b8ad8e","resolution":{"observed_at":"2026-08-07T10:27:31.679078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.670444Z","title":"Holroyd, and Y","venue":null,"work_id":"8021de81-a6af-42a4-8ded-12a5d0319d6b","year":2005},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.006548Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:e33535b6f03562475613b1ffb42bc73227ec81ac7bc0a119bc45bf6f4762cf51","observation_id":"2dbe23cd-8723-44d2-94bb-f374168b7609","resolution":{"observed_at":"2026-08-07T10:27:31.672654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.664090Z","title":"Holroyd, R","venue":null,"work_id":"8c70df91-bf55-4c6e-8a27-edacefc812f2","year":2009},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.008652Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:4f5dcf751f2ed917042a4a30381afaf4edc0fdf80354981751e2ef11ff89bac9","observation_id":"6c412dc7-e017-4de5-916d-b61abc56800d","resolution":{"observed_at":"2026-08-07T10:27:31.666115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:27:31.011146Z","title":"Huesmann and T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.011146Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:3d7a5d723867c77b21995c38000691abefe95cc8b0c6f07d6900ff2434b9c329","observation_id":"8a53d777-255f-43a0-8608-8544343a58fb","resolution":{"observed_at":"2026-08-07T10:27:31.011146Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.658347Z","title":"Hug and R","venue":null,"work_id":"b8419e5a-9ad7-4080-947e-f4eb3d97d53a","year":2007},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.013280Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:f071a4736b6d0934be9dd055f326f4798964dee325a4504f14890c04bd36696d","observation_id":"54e34386-f9af-43b4-8099-c02595ec8409","resolution":{"observed_at":"2026-08-07T10:27:31.660333Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.652386Z","title":"Hug and R","venue":null,"work_id":"f2addd25-a878-46d1-98f7-8d85043e9855","year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.015797Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:f8f093347bea39cbb8c265e8d88bc2c665b11a1286d897d1842db75db0901bd3","observation_id":"41f15665-36e9-4e2e-82b1-f67f251e5f59","resolution":{"observed_at":"2026-08-07T10:27:31.654366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.646441Z","title":"Janson (2021)","venue":null,"work_id":"4b3ef979-d4b7-4dd9-80ef-d39df272ec3e","year":2021},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.018349Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:c5c64dcd6a2b83f6f8a94ee11037c245260da74fe45014ffa4c02c841f275bd0","observation_id":"23159d1a-9c2a-4e5d-9710-462694f93d8f","resolution":{"observed_at":"2026-08-07T10:27:31.648614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.640393Z","title":"Kallenberg (2017)","venue":null,"work_id":"c9e063dc-dae9-40fe-b188-0629e15ef9cf","year":2017},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.020540Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:a238e74f90ec786a4799f109273283b480553c8a1592d7d0b1c937c0188eaf55","observation_id":"16108c0e-33de-48e2-a27e-fb9023efcbd3","resolution":{"observed_at":"2026-08-07T10:27:31.642506Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.634368Z","title":"Kampf and E","venue":null,"work_id":"0d948a6e-325b-4569-be0e-fb4b2334d75d","year":2018},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.023032Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:52951f58e8dfeadff738a5d6d0a69bd171279fbf6119e74283e6592e6d621a1b","observation_id":"18393022-4e3a-4db1-8740-484b14fa3deb","resolution":{"observed_at":"2026-08-07T10:27:31.636513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.628535Z","title":"Kim and S","venue":null,"work_id":"8acba182-eec4-490f-af59-8cf948e5bcdc","year":2018},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.025807Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:aa183455cafec9fb4c0854f685c246c70125e8c1fd7e87eaf49f23c707883d63","observation_id":"9a29f05a-5047-47e0-90fc-6bb96819c638","resolution":{"observed_at":"2026-08-07T10:27:31.630522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.622501Z","title":"Kim and S","venue":null,"work_id":"00d373a6-70bf-415d-af69-8580206b8a2a","year":2019},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.029516Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:aabe5143571caec325bb36c194a125bf75587ed9634b31d5f92a90b8d0a85f11","observation_id":"049fd059-10fe-41b8-b700-4073c2e829cf","resolution":{"observed_at":"2026-08-07T10:27:31.624724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.616163Z","title":"Kim and S","venue":null,"work_id":"742fa7c2-02f6-4f17-9be2-d9fbbb24ab73","year":2019},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.033541Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:14a9ffc23ac1ee1dcad2707fd812119899e19f833c4567530592fc7a6ca3124f","observation_id":"bd620367-bb6e-4a53-a54c-6ab8f6d65380","resolution":{"observed_at":"2026-08-07T10:27:31.618330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:27:31.035454Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.035454Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:316d71a3e4f530f6aebfbf58150f0b4bfc75f7e5e64b764d766a0d63f6782a78","observation_id":"af2627ef-33fd-464b-8c50-91bffc6b8216","resolution":{"observed_at":"2026-08-07T10:27:31.035454Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.608541Z","title":null,"venue":null,"work_id":"9e0e7744-41a0-481f-8e71-7a17c5fec6f5","year":2019},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.037534Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:21fa52bce82faf6001de7f8c985d10ca3aed63c03884a05b11efdd8d139a3205","observation_id":"e3f268d7-262c-4af3-8420-951b8c03b974","resolution":{"observed_at":"2026-08-07T10:27:31.610894Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.602440Z","title":null,"venue":null,"work_id":"0be336f3-a371-40a0-b591-d33d759b3c58","year":2020},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.039563Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:1e8e7fb3cb6fdd44268639fd0099dc007e400a6a658c03bffd09c18b5bfdd6df","observation_id":"8cf5fdfd-f146-46a6-a618-a56d98af09ee","resolution":{"observed_at":"2026-08-07T10:27:31.604649Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.596649Z","title":null,"venue":null,"work_id":"3246bcf5-66cb-43b4-8394-685f2ab5a163","year":2020},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.041770Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:10d10fb1afbc01adf32ebcfc9ab39fc22637a4a1810e1d78cebeb03c217e50cc","observation_id":"b5125888-c03b-4694-94a7-eeaf99ff1862","resolution":{"observed_at":"2026-08-07T10:27:31.598632Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.08848","last_updated":"2024-11-13T18:29:24Z","snapshot_observed_at":"2026-07-06T19:49:57.384725Z","submitted_at":"2024-11-13T18:29:24Z","title":"Stationary random measures : Covariance asymptotics, variance bounds and central limit theorems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.08848","snapshot_observed_at":"2026-08-07T10:27:31.044155Z","title":"Krishnapur and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.044155Z"},"links":{"cited_paper":"/paper/2411.08848","citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:9348fa5238ceaa54eb48b1248895606f0d80e5c0814758214fe5eb92516f40bf","observation_id":"f1422dae-88bf-4076-8c25-e95f1eeb4599","resolution":{"observed_at":"2026-08-07T10:27:31.044155Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.590442Z","title":"Lachi` eze-Rey (2022)","venue":null,"work_id":"0846b9b1-13e5-43f9-b82b-f25b2906d375","year":2022},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.046864Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:c4ed9feed79e952c37b3ddc1593013cd38b676f4696c9bbee228ffb03e30adb0","observation_id":"732b27b8-1513-45a6-99f0-5d4b7e4d67e6","resolution":{"observed_at":"2026-08-07T10:27:31.592569Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:27:31.049126Z","title":"Lachi` eze-Rey and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.049126Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:5216fe4746c3618ab2ca0e29d9e6b786d96a00fbf8dad951337a651f51d1860c","observation_id":"72fa1ce4-c78a-467c-8d9a-3e355ccad508","resolution":{"observed_at":"2026-08-07T10:27:31.049126Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.584175Z","title":"Last (2006)","venue":null,"work_id":"0606f47f-8cb2-4d04-9c69-cb63fe429611","year":2006},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.051221Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:2998de14cc765f638736c3f4baa309c17bcade75fc7d9c05f1b5850862d28d50","observation_id":"bc7dd857-1136-4372-8cd9-bb238c9478f6","resolution":{"observed_at":"2026-08-07T10:27:31.586405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.577715Z","title":null,"venue":null,"work_id":"42f25449-ce13-4e3c-bd61-9422e8fd4de0","year":2023},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.053457Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:234e5ced93c4838e0c2b0d1e5dbf48d13d8d92211240887364abc1a981ac5737","observation_id":"96de41ad-5ec9-47da-ae21-490f559f5f4d","resolution":{"observed_at":"2026-08-07T10:27:31.580425Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.571813Z","title":null,"venue":null,"work_id":"51c24ed4-dfdc-4206-98f1-602d5665f0e8","year":2023},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.056118Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:f2dd49d23d819aad6c9cb648e6e6888bc9419ee3b8cdfef59d75434093752361","observation_id":"8c6d7b01-56e2-45ba-b454-f36fef2d5cfc","resolution":{"observed_at":"2026-08-07T10:27:31.573825Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.565472Z","title":"Last and M","venue":null,"work_id":"7d16c865-becb-4dfb-aac5-d4786d13173d","year":2017},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.058131Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:fe84d35996182a86db8742e9f5f407609a5acfe564d78548c2c210230b2b8c8e","observation_id":"013f98e8-298e-4104-b340-f90b566f6003","resolution":{"observed_at":"2026-08-07T10:27:31.567816Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.559339Z","title":"Last and H","venue":null,"work_id":"bc9753ed-d77a-4fcd-a18a-991fcbad468b","year":2019},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.060546Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:58d00c0d4baf6811cb267190f28b925a8b6a837b89209458185d6a14d000ab9c","observation_id":"1d0bcd1f-a491-4783-b691-0259d85e8ca5","resolution":{"observed_at":"2026-08-07T10:27:31.561385Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.05109","last_updated":"2025-06-16T19:58:12Z","snapshot_observed_at":"2026-08-07T17:17:37.981749Z","submitted_at":"2021-04-11T20:55:52Z","title":"The two-dimensional one-component plasma is hyperuniform","version":4},"cited_work":{"arxiv_id":"2104.05109","doi":null,"metadata_source":"pith","pith_arxiv_id":"2104.05109","snapshot_observed_at":"2026-08-07T10:27:31.122759Z","title":"The two-dimensional one-component plasma is hyperuniform","venue":"math-ph","work_id":"fc2e7ede-d46f-4d91-a276-a2c73b74ac3f","year":2021},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.062689Z"},"links":{"cited_paper":"/paper/2104.05109","citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:3c4983c7df4841a487e121ff71150fc1badf17ef16a516665f31c83b644f7cf7","observation_id":"e8fd2f35-b7b6-4743-9f99-3e4da258e5be","resolution":{"observed_at":"2026-08-07T10:27:31.126827Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.553434Z","title":null,"venue":null,"work_id":"728be5c7-d895-496f-b6c5-2232606aee24","year":1975},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.065140Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:8ba12d2486a1ca47073bf7d01a28947f4bd59e8a36af0f2bf5217af37df5f6b0","observation_id":"6824c159-9d33-4528-8c9e-3cbf050e7f2d","resolution":{"observed_at":"2026-08-07T10:27:31.555583Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.546451Z","title":null,"venue":null,"work_id":"3d4d3e2b-2119-4672-af1d-3eca2bdaef18","year":1980},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.067825Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:f41dfd1dbd5fcb68f54d8fc5cbc9c58cad94e49027914e700bb90485c5656ec3","observation_id":"83dbc319-0cf2-4d6e-9596-142e3068a984","resolution":{"observed_at":"2026-08-07T10:27:31.548494Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.540530Z","title":"Mugglestone and E","venue":null,"work_id":"7d592f55-0722-4611-bd59-cd6d6d1cae81","year":1996},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.070121Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:2f182a8b4e5898e10bb7fadc07b2bd8f008e42a231da89c73885ba970b742b10","observation_id":"41329ea7-efe0-4cab-af7f-06c63133a119","resolution":{"observed_at":"2026-08-07T10:27:31.542597Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.534428Z","title":"Nazarov and M","venue":null,"work_id":"26a15711-0df9-423c-a75c-d539b812830a","year":2012},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.072118Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:7cacf0c12099b6f48a54fc64818014a5ea03e5ed9d32d6456dd22bbc3999ed4d","observation_id":"2964a4be-cba0-4a01-95de-fbb73d7cd135","resolution":{"observed_at":"2026-08-07T10:27:31.536560Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.528725Z","title":"Neveu (1977)","venue":null,"work_id":"074ee9b5-c0f5-42e9-9550-a2f42ca21f63","year":1977},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.074290Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:2b4b15eb389cb1c507f5395e103b2980d616121b9b1b32ac493fae79759695f1","observation_id":"dfe99ebc-82b5-46d9-95f4-bae04939db53","resolution":{"observed_at":"2026-08-07T10:27:31.530618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.522396Z","title":"Newby, W","venue":null,"work_id":"4f6d4df9-3695-480f-8a2d-9be3dcd4bdbe","year":2025},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.076306Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:45f61188456e9bf6f8b971800faaf08f3f4317c2a101230e416ebcc891e01cc9","observation_id":"670db7c3-639e-4d8f-ba64-6e135e47401b","resolution":{"observed_at":"2026-08-07T10:27:31.524598Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.516196Z","title":"Penrose (2007)","venue":null,"work_id":"76cc929c-1bf1-42ed-b6e0-44efafc3d4fb","year":2007},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.078185Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:c158b84920cbfb96ae68b1ede09796fc8accb0343747f8423d641504c6d18718","observation_id":"085041c8-c79e-4eb7-8d87-13d866ccaa1e","resolution":{"observed_at":"2026-08-07T10:27:31.518420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.509955Z","title":"Poinas (2019)","venue":null,"work_id":"856c8f9d-6dd1-446c-a279-04cee752365c","year":2019},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.080149Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:75173e9d78e3dfa92634189daf2b59aa3e6f731ad041f632ece9e17b254cc8f4","observation_id":"4d8567cf-2379-4535-b67f-e09de4b15171","resolution":{"observed_at":"2026-08-07T10:27:31.511994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.503122Z","title":"Schreiber and J.E","venue":null,"work_id":"2e1bc128-2799-442b-ae7c-59948fd42a6c","year":2013},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.082442Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:81ebda503043b5d037e553c3e01ce959edc2647e5b2aabde7ff5788e57d69595","observation_id":"99df63f2-e80f-4ccb-95fd-f5dd2e9df894","resolution":{"observed_at":"2026-08-07T10:27:31.505692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:27:31.084668Z","title":"Soch et al","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.084668Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:10ef129555628d78ca00c4b51abf435c3feaa80babff786c410050074273226f","observation_id":"531ba22b-c50a-4e15-9759-e958534d2e88","resolution":{"observed_at":"2026-08-07T10:27:31.084668Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.496236Z","title":"Torquato (2016)","venue":null,"work_id":"99f34115-58f5-4429-9cfc-6119e22aad4a","year":2016},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.086822Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:4214bcf4c602687281d4573993e465f990e5c95cb94c35b8dcce9e6449fe621d","observation_id":"c6ea0f39-4ff4-4fa0-bf7e-c579ee0f913d","resolution":{"observed_at":"2026-08-07T10:27:31.498441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.489216Z","title":"Torquato (2018)","venue":null,"work_id":"18dd3fbd-5b83-4382-bb48-27459e2deac5","year":2018},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.088933Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:c7b1f9fe2eb74e1ecf923d78f77bedb6b9d341a86a03eb8f9cc6605c10f0ba41","observation_id":"ab24f44e-398a-4363-bd7b-13680d7b0d7f","resolution":{"observed_at":"2026-08-07T10:27:31.492002Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.482556Z","title":"Torquato (2021)","venue":null,"work_id":"58f8f206-ece5-432f-a7ca-cafb12a9eac9","year":2021},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.090929Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:cb94831f07c49034c504e2fadc1e0c5c587f83173a5456b949f288368b7b5e5c","observation_id":"21f4e078-633f-4eb7-9f6c-8c4c3fc3ae04","resolution":{"observed_at":"2026-08-07T10:27:31.484776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.476268Z","title":"Torquato and F","venue":null,"work_id":"42d58fbd-38a7-425a-85f5-c1e9980ba80b","year":2003},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.093088Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:f162ef13f0a0d19b140aaea3311b5d209956da1bf7da1090fb43aeb2cd2e74a7","observation_id":"744033e5-a97f-477e-bc9f-5ffa15ff18ce","resolution":{"observed_at":"2026-08-07T10:27:31.478234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.469638Z","title":"Zheng, M","venue":null,"work_id":"181fd9a4-0000-41c8-be18-d7446f1fc4d3","year":2024},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.095467Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:8fd1f23b251f8d29933295b6b2ef1c10aaf3d1b71da232510c74a47fc0b0912a","observation_id":"ed55feb3-433a-42db-ab64-054b40de78e2","resolution":{"observed_at":"2026-08-07T10:27:31.471719Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.462620Z","title":"Zuyev (1999)","venue":null,"work_id":"2f4b649f-38cb-4340-b402-f80de45c3327","year":1999},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:31.097479Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:b386c4b11f8115e3178fa0464e35ccfe1fb52a45aed9fd8c4ad26ed9e49e7578","observation_id":"7af39c34-76c9-4f09-88f6-1c654e171710","resolution":{"observed_at":"2026-08-07T10:27:31.464838Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:27:31.802416Z","title":null,"venue":null,"work_id":"5f959925-deed-4954-9637-30a252331bea","year":null},"citing_paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples","version":1},"reference_index":895,"source":"pdf_text","source_observed_at":"2026-08-07T10:27:30.941421Z"},"links":{"citing_paper":"/paper/2506.05907"},"observation_digest":"sha256:8e5aea431077ea0871589db3312980e1fb94c4f2aa2e4b34be8c9d9367c3f25b","observation_id":"682eb2d1-683b-44b4-b5b8-92ea18178dfb","resolution":{"observed_at":"2026-08-07T10:27:31.804676Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.05907","last_updated":"2025-06-06T09:26:54Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-08T03:24:33.176905Z","submitted_at":"2025-06-06T09:26:54Z","title":"Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples"},"reference_resolution":{"displayed":76,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":1,"unresolved":16,"verified_exact":5,"verified_fuzzy":54},"total_outbound_references":76},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 3 inbound Pith citation observations for arXiv:2506.05907."}