{"as_of":"2026-08-08T03:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2b88aa491fa58387eb15414cef4e5d2b524ace787b67c1d5851d5131044861d3","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:56:14.664951Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-30T14:07:06.398526Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.07100","snapshot_observed_at":"2026-07-30T14:07:06.398526Z","title":"Wu , Almost rigidity of the T alenti-type comparison theorem on RCD (0, N) space , arXiv preprint arXiv:2506.07100, (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27012","last_updated":"2026-07-29T15:09:24Z","snapshot_observed_at":"2026-08-01T23:40:18.106640Z","submitted_at":"2026-07-29T15:09:24Z","title":"Mean curvature and sharp Willmore inequalities in metric spaces","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-07-30T14:07:06.398526Z"},"links":{"cited_paper":"/paper/2506.07100","citing_paper":"/paper/2607.27012"},"observation_digest":"sha256:08c1f96f7cc3785039cab16d5f2da2d730dd63bad3f224d437a6b2d880bc50e0","observation_id":"e102995c-a515-4d30-9e35-6f7475311715","resolution":{"observed_at":"2026-07-30T14:07:06.398526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.07100/citation-record","integrity":"/paper/2506.07100/integrity","json":"/paper/2506.07100/citation-record.json","paper":"/paper/2506.07100"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:15.036795Z","title":null,"venue":null,"work_id":"695df692-268d-44bc-b0fc-516801f06331","year":1976},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.551164Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:8f1426dd1dc51242f6fd1ba42f33fcb5aca433f0ce8d6dcfd6c502e394033722","observation_id":"9a474fae-f553-4857-a8f9-5604a4cfe628","resolution":{"observed_at":"2026-08-07T05:56:15.040715Z","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":"2026-08-07T05:56:15.025323Z","title":null,"venue":null,"work_id":"91111036-fa90-4c44-bcc0-2e3955fac4f2","year":2023},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.555863Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:09ff8a7cc7025f44adaeea5157f358997e84862b68cd0eea19f62918e7808ea3","observation_id":"22a0f426-98e0-4afc-a907-85e63ecbf2d5","resolution":{"observed_at":"2026-08-07T05:56:15.029329Z","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":"2026-08-07T05:56:15.013314Z","title":"Gigli, A","venue":null,"work_id":"facc8ba0-f635-49d8-b9f6-27a1af2c90d1","year":2015},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.559881Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:a95d2732f2f0cc889827a87347ad819b1fba375126b64cdd4dc185540fc6619b","observation_id":"6d2b97f4-eb45-47bc-a853-cf119f7c7868","resolution":{"observed_at":"2026-08-07T05:56:15.016860Z","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":"2026-08-07T05:56:15.002130Z","title":"Bj¨ orn and A","venue":null,"work_id":"8476ce38-9b41-43e3-82bb-2e238c93d5f1","year":2022},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.564145Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:e525ad948a35ceea0580b2df0864530ee87782383804fce90aa130cf81e84de9","observation_id":"8ccd4348-7606-469c-968f-bef39c9f93c0","resolution":{"observed_at":"2026-08-07T05:56:15.006049Z","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":"2026-08-07T05:56:14.989628Z","title":null,"venue":null,"work_id":"57ebc2ba-73df-479c-a3f7-fc78dd156a4b","year":2013},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.567680Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:3e7622bf8b9c9363dd421b2e060720365fb55037c2430b3b3ddacd9ede9abf4e","observation_id":"13642af9-5db1-4be3-b533-57eb6362d632","resolution":{"observed_at":"2026-08-07T05:56:14.993662Z","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":"2026-08-07T05:56:14.979567Z","title":null,"venue":null,"work_id":"7c3d6c79-84c4-4c8d-bbfd-9f6df1dd2849","year":2014},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.571390Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:8e19bfeb1ba148592f69fa30c412bec5056aa58682000b04537d8ef6d190059a","observation_id":"996f580d-51dd-4205-af98-cdba611b5382","resolution":{"observed_at":"2026-08-07T05:56:14.982978Z","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":"2026-08-07T05:56:14.969227Z","title":null,"venue":null,"work_id":"6cbd3579-f82e-4e75-ac92-1a325e9568be","year":1999},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.575147Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:ad0860a26f1d0898fb5e042cd064998a10e22baee3c47f33db91d4f0ee954477","observation_id":"93a80f10-be73-4c86-a81d-32a9f6b44ccc","resolution":{"observed_at":"2026-08-07T05:56:14.972740Z","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":"2026-08-07T05:56:14.958467Z","title":null,"venue":null,"work_id":"4fb71de4-ac18-49b8-bf10-b3415b457b49","year":2000},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.578831Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:ff0353a46e4df4fe0941c67deadabe58d7fc62fe350f2cee084ae8c28cfb97ea","observation_id":"20191806-96e6-4034-aa65-e8fc3326e1ab","resolution":{"observed_at":"2026-08-07T05:56:14.962185Z","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":"2026-08-07T05:56:14.948657Z","title":null,"venue":null,"work_id":"f2786f6b-db7e-408e-aaa6-0610c864b9ae","year":2015},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.582592Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:6482c7b8428e70d781c1de27d7019dd8f9b509858c6862aaded636d8176b4ecd","observation_id":"418dadda-db30-4087-93da-aacede3c1300","resolution":{"observed_at":"2026-08-07T05:56:14.952105Z","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":"2026-08-07T05:56:14.938462Z","title":"Gigli, Nonsmooth differential geometry–an approach tailored for spaces with Ricci curvature bounded from below, Mem","venue":null,"work_id":"a72b2fb5-e75d-4d98-8951-d382654525dc","year":2018},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.585876Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:5223ad030cec29eeee1838d68f0d8295d3b770c5affb6cbde26106fae43d21fc","observation_id":"2f1d0644-3167-411c-958f-3719baa11038","resolution":{"observed_at":"2026-08-07T05:56:14.942333Z","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":"2026-08-07T05:56:14.928024Z","title":"Gigli, F","venue":null,"work_id":"df72871a-665a-4ebc-9f63-5c8dcbd2faa0","year":2022},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.589444Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:1510a4821f4ed549b1967273b418167addd001509fd28b3f4d2c214a34f4f793","observation_id":"661619a8-cf16-4d5a-b70e-ce86ec029ea6","resolution":{"observed_at":"2026-08-07T05:56:14.931649Z","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":"2026-08-07T05:56:14.916296Z","title":null,"venue":null,"work_id":"f14ce66d-74e8-4e0b-ac3b-121b37aaefce","year":2003},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.593162Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:946588647cd204578ff91ad24d53c73631c7582c46ff5410550e90eead4f6219","observation_id":"6b4c3c87-d1e2-432a-b532-02163aa46ca3","resolution":{"observed_at":"2026-08-07T05:56:14.920901Z","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":"2026-08-07T05:56:14.904343Z","title":null,"venue":null,"work_id":"9935afa4-4c60-417f-9ddb-808f6b2b7900","year":2014},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.596554Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:2ad238f489d748bf1aa3ec6f2cb13b507e2330d5f4af80d4d9531ef0e33601ed","observation_id":"bc99b74e-79ee-4442-a873-cc9d5e4913a3","resolution":{"observed_at":"2026-08-07T05:56:14.907919Z","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":"2026-08-07T05:56:14.891607Z","title":"PhD Thesis, Scuola Normale Superiore, Pisa (2014)","venue":null,"work_id":"6e96346b-7b42-4fc7-a345-27bb408da9f3","year":2014},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.600020Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:1ea9474ff75dfcd90de2dd035b1c45021bc1c9f93c733c1dfac118af86592b55","observation_id":"f3873669-83df-4dfc-a0e0-594274fd4f9f","resolution":{"observed_at":"2026-08-07T05:56:14.897061Z","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":"2026-08-07T05:56:14.878305Z","title":null,"venue":null,"work_id":"00d65f84-fa79-4d0b-8841-e9ae5976ec0b","year":2014},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.603352Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:c30b41f4d6f4b223c343308318f99662fa260ba747d55d9d9529ccfd30f201bb","observation_id":"b34d88e8-d993-4070-9744-0e7a96cc29c1","resolution":{"observed_at":"2026-08-07T05:56:14.881878Z","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":"2026-08-07T05:56:14.867566Z","title":"Balogh and Alexandru Kristaly","venue":null,"work_id":"f988a84c-b125-4123-ac23-5ab81d302987","year":2023},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.606760Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:aea78e791809a0b9a40d7dd0fe3bcb441f04790bd8c24d3a859ac9bd749a28d4","observation_id":"d04cc55d-1914-4af5-bca4-912f5ef1d9de","resolution":{"observed_at":"2026-08-07T05:56:14.871248Z","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":"2026-08-07T05:56:14.856540Z","title":"Perimeter as relaxed Minkowski content in metric measure spaces","venue":null,"work_id":"b3336442-6eef-4e24-b0d0-8bf7198967d2","year":2017},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.610726Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:e7bf54090159c4def229140dde827ef0efa6a717602a3d2628e4f5219888f3ba","observation_id":"9f292310-8bfc-45ef-9727-6f852019d795","resolution":{"observed_at":"2026-08-07T05:56:14.860439Z","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":"2026-08-07T05:56:14.846032Z","title":"Mondino, M","venue":null,"work_id":"570c4bac-d58b-4485-b85a-7ce9ff8f9ecb","year":2021},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.614210Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:fc69bd3855477e2a87a76991e1f7b82f59fcb76ba3a609af520897808d6e1dd4","observation_id":"6e670333-906d-41c2-9df3-2277d9aafa64","resolution":{"observed_at":"2026-08-07T05:56:14.849802Z","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":"2026-08-07T05:56:14.836488Z","title":null,"venue":null,"work_id":"762740ba-5625-4c70-8574-064905cbd44f","year":2024},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.618122Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:8a6bd61f0dbe1b9a578020cc29cf8554f657ad7926805be9e406b2d70f87cb2c","observation_id":"7b298c4c-8b83-4f1e-a9b1-bca84d5f7426","resolution":{"observed_at":"2026-08-07T05:56:14.839984Z","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":"2026-08-07T05:56:14.824900Z","title":"Folland, Real Analysis: Modern Techniques and their Applications, vol","venue":null,"work_id":"8012c50a-3846-497c-914a-7441b18df6dc","year":1999},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.621633Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:a2575c8b1d0e32ed22f243960a1dcd1c05d2c1ef7c0972841fd51f2afae08fac","observation_id":"fbbf3ca2-84af-44b2-bd87-b1c940cb273e","resolution":{"observed_at":"2026-08-07T05:56:14.829279Z","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":"2026-08-07T05:56:14.814234Z","title":null,"venue":null,"work_id":"d47d15cf-602e-4c5a-93f4-74c88acb32c9","year":2024},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.624983Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:c106d4c274dbd5ccff3792a0232eb309d01e53daf7743829ce35807c9fb29ea8","observation_id":"c952e54f-fca1-4590-b20a-8759bd9a9af7","resolution":{"observed_at":"2026-08-07T05:56:14.817827Z","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":"2026-08-07T05:56:14.798497Z","title":"Antonelli, E","venue":null,"work_id":"bad0952b-b1ab-4002-858c-f1e6f5ab338a","year":2023},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.628751Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:adcf4319fed53e48f71299ce0fb712f345d7cecdc2ca407750c0a9260fd3036c","observation_id":"2713c32f-c56e-4a72-a2bc-bdf6cff53268","resolution":{"observed_at":"2026-08-07T05:56:14.804339Z","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":"2026-08-07T05:56:14.788033Z","title":null,"venue":null,"work_id":"73857c6e-6354-43e9-8945-83cf4e3fa6df","year":2022},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.632280Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:b35f5f1594713c53116edb5b9eccc626c688fe4161431a42eea6047e67fd5b9f","observation_id":"6cf78b07-8176-4ea4-808d-b914d0f76a59","resolution":{"observed_at":"2026-08-07T05:56:14.791407Z","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":"2026-08-07T05:56:14.776893Z","title":null,"venue":null,"work_id":"50e64b54-9aee-4e07-96f9-f87785500490","year":2024},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.635647Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:515c5b135f281aafc021a65f6b8f03e915b6af146e8ad6131e04b496e238037b","observation_id":"85e44976-9aac-4b54-b0fe-21bee14b03cd","resolution":{"observed_at":"2026-08-07T05:56:14.780889Z","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":"2026-08-07T05:56:14.764401Z","title":"Honda, Ricci curvature and Lp-convergence, J","venue":null,"work_id":"7c137263-9d55-4af8-82be-8d65b7db74c8","year":2015},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.640396Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:057c54e91ded73aba96babd5b69eb087b0c557622d07958d1d08c284a3c20f12","observation_id":"e08fbe90-a590-436c-a0e6-4ce05cda8a99","resolution":{"observed_at":"2026-08-07T05:56:14.768435Z","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":"2026-08-07T05:56:14.752883Z","title":null,"venue":null,"work_id":"19cd5c83-3729-43de-b687-cc85006c1529","year":2008},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.644324Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:e7550e1ff87175e126212e5202115d5efb34513182525a0448a51503c68bff1f","observation_id":"4ba95c5e-c990-45f1-944a-525ec4b2fdcf","resolution":{"observed_at":"2026-08-07T05:56:14.756859Z","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":"2026-08-07T05:56:14.741639Z","title":null,"venue":null,"work_id":"1a5fd598-d6f3-491b-af72-0c52c4bf8484","year":2012},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.648836Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:ae6bdd8c5e9d3d67aa01f2a356b5988fc6fa0b5f5eab48c0db5c0eaeaf0e325f","observation_id":"90df13ac-43f6-4874-9c44-6673c6b4ffae","resolution":{"observed_at":"2026-08-07T05:56:14.745140Z","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":"2026-08-07T05:56:14.730898Z","title":"Sturm, On the geometry of metric measure spaces","venue":null,"work_id":"4f7271f8-9a8d-462b-bcd4-853959c6df25","year":2006},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.653072Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:1f882f74026e4141d6a3903710d9fb8d3a9827305052678f3def9a225033c610","observation_id":"fe55b306-d275-448b-80f8-ad5d5b118627","resolution":{"observed_at":"2026-08-07T05:56:14.734582Z","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":"2026-08-07T05:56:14.719587Z","title":"Haj lasz, P","venue":null,"work_id":"2b0005ad-6442-4e9a-bd7e-ed4d1894376c","year":2000},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.657100Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:779b5c8ecbddc28189d6eb7206e7d9088aa39e4154e4b3cceb7bfb6a8e521eb2","observation_id":"3b7580f0-feaf-4ede-92cd-281cb2a14922","resolution":{"observed_at":"2026-08-07T05:56:14.723159Z","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":"2026-08-07T05:56:14.706804Z","title":"Korevaar–Schoen’s energy on strongly rectifiable spaces","venue":null,"work_id":"cd7bc2cb-bc78-43c5-a550-0f8317723d29","year":2021},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.661002Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:81bb94150e579dbdc0420693b768d11366e1f914eb00f5e5d37b65555ad3dc66","observation_id":"4d456172-a138-4582-8cbd-eb979d9be5ca","resolution":{"observed_at":"2026-08-07T05:56:14.711516Z","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":"2026-08-07T05:56:14.693226Z","title":null,"venue":null,"work_id":"2fd925de-2f74-44f8-be10-00a089abd63b","year":2017},"citing_paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T05:56:14.664951Z"},"links":{"citing_paper":"/paper/2506.07100"},"observation_digest":"sha256:f91c4f74f00bd60c4ba64b3b1522f6f771ff98c33c6ab1eb546db258bd08da09","observation_id":"8cb7b1c6-d643-4a03-b439-53f128a6dbb2","resolution":{"observed_at":"2026-08-07T05:56:14.698803Z","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"}}],"paper":{"arxiv_id":"2506.07100","last_updated":"2025-06-08T11:59:33Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-07T05:39:53.544127Z","submitted_at":"2025-06-08T11:59:33Z","title":"Almost rigidity of the Talenti-type comparison theorem on $\\mathrm{RCD}(0,N)$ space"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":0,"verified_fuzzy":14},"total_outbound_references":31},"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 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2506.07100."}