{"as_of":"2026-08-12T08:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6d5aa9e371687e495133a1cc8ebdb1225a33182334b69682f468917a1c4e31b6","coverage":[{"denominator":44,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":44,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T17:31:14.647413Z","state":"measured"},{"denominator":44,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":44,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2501.12347/citation-record","integrity":"/paper/2501.12347/integrity","json":"/paper/2501.12347/citation-record.json","paper":"/paper/2501.12347"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:31:15.361484Z","title":"Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative ricci curvature","venue":null,"work_id":"d87e4131-37cc-4656-bcdc-a8d3f1720df6","year":2020},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.485272Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:a1d5c24fd152e21ab24b4d55318183e357bffe98f4c59960eac278217a6fa1c1","observation_id":"2282c71c-84b9-4036-ad1c-18af270ac3a1","resolution":{"observed_at":"2026-08-10T17:31:15.365510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.11642","last_updated":"2025-05-23T15:29:04Z","snapshot_observed_at":"2026-08-12T01:59:04.158667Z","submitted_at":"2022-05-23T21:35:06Z","title":"Riemannian Penrose inequality via Nonlinear Potential Theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.11642","snapshot_observed_at":"2026-08-10T17:31:14.489728Z","title":"Riemannian penrose inequality via nonlinear potential theory","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.489728Z"},"links":{"cited_paper":"/paper/2205.11642","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:fa5e125ee48e2b501a5226fecbca204fb54d9341d9c679eadf5819a3d732482e","observation_id":"f37463cf-47b1-4443-98d5-f6a0f6943e87","resolution":{"observed_at":"2026-08-10T17:31:14.489728Z","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":"2026-08-10T17:31:15.350130Z","title":"Monotonicity formulas in potential theory","venue":null,"work_id":"ee430f0a-9239-4996-8942-9a22b8a3c5c2","year":2020},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.494064Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:c98727e80d41000f28123f7b1343a2ff818e3833fa4f2cbdbd7f1da81ca9895c","observation_id":"1cd71156-91dd-4746-a2a8-2c27d1217176","resolution":{"observed_at":"2026-08-10T17:31:15.354244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.338123Z","title":"A green’s function proof of the positive mass theorem","venue":null,"work_id":"21a7738e-b1b0-419f-8832-643847afabfe","year":2024},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.498328Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:2d837b138dfc744f3b2be66a3df3aa987edded44da9c7dfe8f8cc0b8fed8d68d","observation_id":"dc83cfa3-d6f7-4b4b-89ac-70cc20038cf5","resolution":{"observed_at":"2026-08-10T17:31:15.342761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.18567","last_updated":"2023-11-24T15:52:38Z","snapshot_observed_at":"2026-07-06T15:35:03.331801Z","submitted_at":"2023-05-29T18:59:43Z","title":"On the Stability of Llarull's Theorem in Dimension Three","version":2},"cited_work":{"arxiv_id":"2305.18567","doi":null,"metadata_source":"pith","pith_arxiv_id":"2305.18567","snapshot_observed_at":"2026-08-10T17:31:15.010877Z","title":"On the Stability of Llarull's Theorem in Dimension Three","venue":"math.DG","work_id":"af627eb5-1286-4fcc-9508-a90f3cf1c356","year":2023},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.502241Z"},"links":{"cited_paper":"/paper/2305.18567","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:76cbe238b5d170088979e9ed084d8ce7e905faf529d9ae9a8a4b9562941d5400","observation_id":"ec706db6-1b55-4cd9-bb8e-e9a76615fdf1","resolution":{"observed_at":"2026-08-10T17:31:15.015792Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.326779Z","title":"´Equations diff´ erentielles non lin´ eaires et probleme de yamabe concernant la courbure scalaire.J","venue":null,"work_id":"2d973fad-779b-4909-97c2-c6a05efc3271","year":1976},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.506559Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:4827a4104412ad004f527d791edd12587f243f9607f34765dfc22fb77c4571f1","observation_id":"1881edaf-3562-4860-9113-d059d84f113d","resolution":{"observed_at":"2026-08-10T17:31:15.330836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.06063","last_updated":"2022-03-18T12:09:07Z","snapshot_observed_at":"2026-08-11T09:46:29.504819Z","submitted_at":"2021-01-15T11:21:51Z","title":"Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature","version":5},"cited_work":{"arxiv_id":"2101.06063","doi":null,"metadata_source":"pith","pith_arxiv_id":"2101.06063","snapshot_observed_at":"2026-08-10T17:31:14.994887Z","title":"Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature","venue":"math.DG","work_id":"115c7db0-c418-49fc-a318-257d74fb5160","year":2021},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.510689Z"},"links":{"cited_paper":"/paper/2101.06063","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:11b6937fde6c3570ef269a8d1347657e79746b71d69adc7aa858ffbcdf7aecce","observation_id":"c5a103e7-d21c-4692-ad6c-e9f8c2599d0f","resolution":{"observed_at":"2026-08-10T17:31:14.998932Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.316415Z","title":"A transformation for extracting new descriptions of shape","venue":null,"work_id":"0cf73ee9-6e27-489e-9a2e-d80c60938a18","year":1967},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.514952Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:83207fa9b00ed2aaf5b5a67902c6f5290990a00b1081754469df400b4a14629b","observation_id":"c94dced5-e70c-41b4-aea5-aaa904268d1d","resolution":{"observed_at":"2026-08-10T17:31:15.319572Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.306372Z","title":"Harmonic functions and the mass of 3-dimensional asymptotically flat riemannian manifolds","venue":null,"work_id":"f82286f9-f259-4d10-b635-1972e52b24da","year":2022},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.518686Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:6c12533557028383c39751d085327142c008f816165e4a323a3632ea9a963137","observation_id":"936f15be-bf1b-463a-b903-70b10f38ae57","resolution":{"observed_at":"2026-08-10T17:31:15.309561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.297078Z","title":"Monotonicity of the p-green functions","venue":null,"work_id":"85b7bc17-8c65-4679-822f-7dea89dd1004","year":2024},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.523206Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:1c7289ef69c8a63eeae057af50dc7c299d0cca5a67e5a7fdd29479a876ef56a3","observation_id":"eb0664a2-726a-4b30-9971-32f6e5c9beaf","resolution":{"observed_at":"2026-08-10T17:31:15.299952Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.286452Z","title":"Problemes de neumann non lin´ eaires sur les vari´ et´ es riemanniennes.Journal of Functional Analysis, 57(2):154–206, 1984","venue":null,"work_id":"8eb69aa8-de76-47aa-81a3-5b89b343c2ec","year":1984},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.527074Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:4b60866e31d6323b2d35a24dd604ec90a5c83d825f913907de22096aacaaabd7","observation_id":"f82bb07e-9879-4421-a91e-f85220a971f1","resolution":{"observed_at":"2026-08-10T17:31:15.290411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.275652Z","title":"New monotonicity formulas for ricci curvature and applications","venue":null,"work_id":"1ddd9dab-fc2f-4595-8b3c-f32ff8d9c293","year":2012},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.531027Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:2f142e215bafbf705b8165d4e3b54228bbfac360b9556f6baedc57b7019d2e5c","observation_id":"b7358892-2441-467a-8668-4bbe1d084e41","resolution":{"observed_at":"2026-08-10T17:31:15.279384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.265295Z","title":"Ricci curvature and monotonicity for harmonic functions","venue":null,"work_id":"60faf11b-1bf9-4b23-8f9a-8c819a0e5ce9","year":2014},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.535397Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:0be50cdbafe80ecf610ed16816855e1d965727471e33c000cf8e504f8a6be06e","observation_id":"1b05fdb2-5250-47f1-b6a8-ba3b6e6de384","resolution":{"observed_at":"2026-08-10T17:31:15.269133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:14.539075Z","title":"Singularities of ricci flow and diffeomorphisms","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.539075Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:8c35aa4655c6545d01dd6e743757a3af17be71d307cb49a766b299c45ddda432","observation_id":"e8c3e902-8ae0-4010-af74-09276186767f","resolution":{"observed_at":"2026-08-10T17:31:14.539075Z","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":"2026-08-10T17:31:15.253959Z","title":"Optimal rigidity estimates for nearly umbilical surfaces.Journal of Differential Geometry, 69(1):075–110, 2005","venue":null,"work_id":"460171c0-db9b-4bf0-9dc7-7933b2c6b423","year":2005},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.542692Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:1030810581ced99d985faf658e579b3159fc5b851bda7dc525df66699a1cb260","observation_id":"5b1f7a39-c813-43a0-908c-4a0f11159ec8","resolution":{"observed_at":"2026-08-10T17:31:15.258226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.240569Z","title":"Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds","venue":null,"work_id":"030dda93-7b24-4b4a-bb72-eae53f6667c1","year":2024},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.545905Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:3afbba6a1d9dcc9b8cd3e0a1aa27dd5d6aaf978a1f9eb457980485d92345da87","observation_id":"e83bfa3e-3728-49ed-8ab8-e0b2b6714f9a","resolution":{"observed_at":"2026-08-10T17:31:15.246095Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2402.10299","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T17:31:14.905542Z","title":"Stability for the 3d riemannian penrose inequality","venue":null,"work_id":"74f6b4a8-93b4-47dd-98ad-1bc25deeddd4","year":2024},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.549481Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:721cefb6ee9cc44b7c9262ef94ddb3eab21459f7c8d05a367fbb2905bb00fde7","observation_id":"810295dc-e614-4e5b-8da5-1dc26bcf68fb","resolution":{"observed_at":"2026-08-10T17:31:14.912571Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.07414","last_updated":"2024-12-03T19:22:45Z","snapshot_observed_at":"2026-07-06T14:51:56.435442Z","submitted_at":"2023-02-15T00:34:52Z","title":"Stability of Euclidean 3-space for the positive mass theorem","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.07414","snapshot_observed_at":"2026-08-10T17:31:14.553090Z","title":"Stability of euclidean 3-space for the positive mass theorem","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.553090Z"},"links":{"cited_paper":"/paper/2302.07414","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:0844fd90f5cc176396e3408f72747482c01c1300952b0f1763a9c7c61609d601","observation_id":"20174864-fea2-40db-a7e5-b797e55a1270","resolution":{"observed_at":"2026-08-10T17:31:14.553090Z","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":"2026-08-10T17:31:15.228713Z","title":"Conformal deformation of a riemannian metric to a scalar flat metric with constant mean curvature on the boundary","venue":null,"work_id":"1ce28eb8-59d0-4261-99c7-5bebd35a180a","year":1992},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.557306Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:d49a03694e31caeff5a8c8d467b4420c8299d4a14eb6b7c6636450e88d56f0fa","observation_id":"f8cae6a6-fe09-4031-b6d6-04fba97cf05a","resolution":{"observed_at":"2026-08-10T17:31:15.233046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.216720Z","title":"The yamabe problem on manifolds with boundary.Journal of Differential Geometry , 35(1):21–84, 1992","venue":null,"work_id":"f21ae52d-36dd-42e1-9038-a9643b2ba1dd","year":1992},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.560701Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:51922719588d63cb1502319e481cbbc02fce364d2d416f370432f3bb9fd604cb","observation_id":"9fb507a3-d8d5-4615-b078-c78995dec3a3","resolution":{"observed_at":"2026-08-10T17:31:15.221209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.206743Z","title":"Rings and quasiconformal mappings in space","venue":null,"work_id":"e7b521d4-a82e-4d9a-bebb-2344250afbdb","year":1962},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.563698Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:3f1ad3c6dcd7bad4121c43930178e4538d6f575cf0323195777b3d7b432b6fe0","observation_id":"eda83572-5704-4b62-835e-12115c405368","resolution":{"observed_at":"2026-08-10T17:31:15.209781Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.197360Z","title":"The coefficients of quasiconformality of domains in space.Acta Mathematica, 114(1):1– 70, 1965","venue":null,"work_id":"84fc5003-51f7-4618-a739-71103216fe19","year":1965},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.566408Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:086a4694ecff3642ce9a33aa9d8525d3390fb8e6e1ebac3718f920ddcdc64761","observation_id":"e191fd53-e600-4093-8d86-6f6527957c7f","resolution":{"observed_at":"2026-08-10T17:31:15.200634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.187108Z","title":"Monotone quantities of p-harmonic functions and their applications","venue":null,"work_id":"6859585d-8d9e-4ea5-b6b4-38941213e238","year":2024},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.569426Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:420b9bcab6d625066956cf2831f17867cb3a488f00fd877bf8bf45aeb732493d","observation_id":"ed19902a-4325-4cf9-b5ef-438545908751","resolution":{"observed_at":"2026-08-10T17:31:15.190826Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.176023Z","title":"Stability of llarull’s theorem in all dimensions.Advances in Mathematics, 458:109980, 2024","venue":null,"work_id":"7822be28-4762-4365-9c30-57df04740870","year":2024},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.572200Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:189dc8649d6bba9d20925f66525f28237f49275d0abd325590e0ebed416df27f","observation_id":"1ac94456-ca7f-42dc-8ba4-3a9c5bc716a7","resolution":{"observed_at":"2026-08-10T17:31:15.180162Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.164880Z","title":"The inverse mean curvature flow and the riemannian penrose inequality","venue":null,"work_id":"e6bc273f-336b-4944-8a19-65b21274a0dc","year":2001},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.575036Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:09a8f585f096066c358d4664167e807e8315ea1ee30243a202f1bb28d4eb7c27","observation_id":"4e8937a3-118c-402c-83cb-dfb9e7885509","resolution":{"observed_at":"2026-08-10T17:31:15.169019Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0501073","last_updated":"2005-01-25T12:22:41Z","snapshot_observed_at":"2026-08-01T22:34:25.512930Z","submitted_at":"2005-01-25T12:22:41Z","title":"Unconstrained degrees of freedom for gravitational waves, $\\beta$--foliations and spherically symmetric initial data","version":1},"cited_work":{"arxiv_id":"gr-qc/0501073","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/0501073","snapshot_observed_at":"2026-08-10T17:31:14.772148Z","title":"Unconstrained degrees of freedom for gravitational waves, $\\beta$--foliations and spherically symmetric initial data","venue":"gr-qc","work_id":"e1401f1f-3513-4597-b28c-fecdf98c818b","year":2005},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.578102Z"},"links":{"cited_paper":"/paper/gr-qc/0501073","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:32b0d36b999b02155444391780de2e5dd0ada4cb0b7ff1349d26b1305863cfb0","observation_id":"00021bc9-a92e-414f-b540-6a1925c4ebe1","resolution":{"observed_at":"2026-08-10T17:31:14.775681Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2111.05202","last_updated":"2021-11-09T15:23:50Z","snapshot_observed_at":"2026-08-04T02:44:45.044836Z","submitted_at":"2021-11-09T15:23:50Z","title":"Stability of the positive mass theorem under Ricci curvature lower bounds","version":1},"cited_work":{"arxiv_id":"2111.05202","doi":null,"metadata_source":"pith","pith_arxiv_id":"2111.05202","snapshot_observed_at":"2026-08-10T17:31:14.757729Z","title":"Stability of the positive mass theorem under Ricci curvature lower bounds","venue":"math.DG","work_id":"3da5cd2b-ab73-436f-88de-daa91ac9adb8","year":2021},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.581410Z"},"links":{"cited_paper":"/paper/2111.05202","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:e896f0cbcf3e6709776c95a7f22435954e9dc58d35dbba6159cc86436f76a049","observation_id":"b28bf175-3fe1-4875-9468-4cb5334b6cee","resolution":{"observed_at":"2026-08-10T17:31:14.761472Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.153981Z","title":"Unconstrained degrees of freedom of gravitational field and the positivity of gravitational energy","venue":null,"work_id":"a286ff92-379e-4d09-bbc6-ec63fa429965","year":1984},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.585434Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:070e123f806f32c5bdf8eef3bf0a5b330ce91c7210b2403811179ea65705d6cb","observation_id":"c6d5e43a-aa41-42e7-a16b-106bf193ccc0","resolution":{"observed_at":"2026-08-10T17:31:15.157917Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.141191Z","title":"Any open bounded subset of Rn has the same homotopy type as its medial axis","venue":null,"work_id":"6ff9d422-4f7f-4f3f-8647-d694b139a905","year":2004},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.589015Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:6be8d180d89bc02534211852b513aba7692a4bb0dd05e182643baded9d3feba7","observation_id":"67ff993e-b85d-449f-aeb1-e75f6d5808a7","resolution":{"observed_at":"2026-08-10T17:31:15.146138Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.19784","last_updated":"2024-01-19T12:41:11Z","snapshot_observed_at":"2026-08-03T05:26:15.966024Z","submitted_at":"2023-05-31T12:22:10Z","title":"Monotone Quantities for $p$-Harmonic functions and the Sharp $p$-Penrose inequality","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.19784","snapshot_observed_at":"2026-08-10T17:31:14.592332Z","title":"Monotone quantities for p-harmonic functions and the sharp p-penrose inequality","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.592332Z"},"links":{"cited_paper":"/paper/2305.19784","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:4d1c9ee4287cd13bcb45697d04de61c1b618695c0ff1a292ac030abb23a47dbf","observation_id":"80f9ad4c-6065-4708-9e33-09e882cb7c2c","resolution":{"observed_at":"2026-08-10T17:31:14.592332Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.00854","last_updated":"2023-05-01T14:51:11Z","snapshot_observed_at":"2026-08-03T11:15:50.824211Z","submitted_at":"2023-05-01T14:51:11Z","title":"The Yamabe Invariant of $\\mathbb{RP}^3$ via Harmonic Functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.00854","snapshot_observed_at":"2026-08-10T17:31:14.596292Z","title":"The yamabe invariant of RP3 via harmonic functions","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.596292Z"},"links":{"cited_paper":"/paper/2305.00854","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:ad01946227c6a8bcb836608fd195a306d1ece88b96c73b20ddea0c2892700060","observation_id":"08afdef3-37d2-4d5d-97db-47823a2da1e5","resolution":{"observed_at":"2026-08-10T17:31:14.596292Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.09626","last_updated":"2024-10-12T19:31:06Z","snapshot_observed_at":"2026-08-10T11:50:40.788851Z","submitted_at":"2024-10-12T19:31:06Z","title":"Mass, Conformal Capacity, and the Volumetric Penrose Inequality","version":1},"cited_work":{"arxiv_id":"2410.09626","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.09626","snapshot_observed_at":"2026-08-10T17:31:14.719948Z","title":"Mass, Conformal Capacity, and the Volumetric Penrose Inequality","venue":"math.DG","work_id":"299b104d-6831-46b5-98fd-071f62259b5a","year":2024},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.600169Z"},"links":{"cited_paper":"/paper/2410.09626","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:8c9ee1e4a9bcab628318f04288a8ca3e40ba645e9769e0557b0e2a1cdf3d3782","observation_id":"4d21abae-6026-4971-9fa3-31c015bcf118","resolution":{"observed_at":"2026-08-10T17:31:14.723884Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.00815","last_updated":"2024-02-01T17:54:16Z","snapshot_observed_at":"2026-07-06T17:23:51.547578Z","submitted_at":"2024-02-01T17:54:16Z","title":"On the stability of the Yamabe invariant of $S^3$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.00815","snapshot_observed_at":"2026-08-10T17:31:14.604236Z","title":"On the stability of the yamabe invariant of s3","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.604236Z"},"links":{"cited_paper":"/paper/2402.00815","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:d428fbbc566dd6e29b4db68ccb1099eb5965b878b1adfeb6ab6ab05cd67fddb7","observation_id":"4e07e1df-fad2-45d5-8f44-f12d67a98ca3","resolution":{"observed_at":"2026-08-10T17:31:14.604236Z","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":"2026-08-10T17:31:15.129193Z","title":"Mass, capacitary functions, and the mass-to-capacity ratio","venue":null,"work_id":"d29593bd-8075-4897-8fd4-baa2b79daf8a","year":2023},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.608191Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:68dcd3f21133ac2e96fd0a4422484dc0d649d27e76627afdce9b05270177575b","observation_id":"dfcd1b03-741e-4344-a76c-a01f1e7b6491","resolution":{"observed_at":"2026-08-10T17:31:15.133306Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.12103","last_updated":"2021-05-25T17:41:14Z","snapshot_observed_at":"2026-07-06T11:12:41.293659Z","submitted_at":"2021-05-25T17:41:14Z","title":"Comparison theorems for three-dimensional manifolds with scalar curvature bound","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.12103","snapshot_observed_at":"2026-08-10T17:31:14.611907Z","title":"Comparison theorems for three-dimensional manifolds with scalar curvature bound","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.611907Z"},"links":{"cited_paper":"/paper/2105.12103","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:9b9a1ffa95816e3e1516e782d866decac84446cfa278a9c8aa390e5548444d9d","observation_id":"a530e5df-2d8f-4db1-8f63-7e9297f92bee","resolution":{"observed_at":"2026-08-10T17:31:14.611907Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.06688","last_updated":"2022-08-13T17:22:30Z","snapshot_observed_at":"2026-07-06T13:41:34.206108Z","submitted_at":"2022-08-13T17:22:30Z","title":"ADM mass, area and capacity in asymptotically flat $3$-manifolds with nonnegative scalar curvature","version":1},"cited_work":{"arxiv_id":"2208.06688","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.06688","snapshot_observed_at":"2026-08-10T17:31:14.677727Z","title":"ADM mass, area and capacity in asymptotically flat $3$-manifolds with nonnegative scalar curvature","venue":"math.DG","work_id":"522254dd-4c7c-4a5a-92b5-e9eaebc0438f","year":2022},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.616332Z"},"links":{"cited_paper":"/paper/2208.06688","citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:99e66c6fa615384b2d54b35e8ec0cc8d1414aad67bb85c7f47e9046fce761173","observation_id":"9f4f9304-1e3e-4602-b973-9c7a64eda7bb","resolution":{"observed_at":"2026-08-10T17:31:14.684162Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.117703Z","title":"Conformal deformation of a riemannian metric to constant scalar curvature.Journal of Differential Geometry, 20(2):479–495, 1984","venue":null,"work_id":"393a29e2-c205-4c39-b0e8-b9aef7d89ca9","year":1984},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.620108Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:1523002dc30f7cbcd033cd6d37ac73efe27552f67a22b36dc979c571f741bfe6","observation_id":"7ba7aa03-5090-489f-9452-060562661a46","resolution":{"observed_at":"2026-08-10T17:31:15.121748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.105308Z","title":"On the proof of the positive mass conjecture in general relativity","venue":null,"work_id":"3e25ef7c-6d9c-47b9-9f97-651350d41e5c","year":1979},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.623634Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:c97a8e0f07a61c262723e183d7b92b37048ce173c1f356a45e9a8acbfcbac6b1","observation_id":"ead4c7ce-a979-4eaa-b1e8-367c6f4f1c69","resolution":{"observed_at":"2026-08-10T17:31:15.109729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.094009Z","title":"Monotonicity of the yamabe invariant under connect sum over the boundary","venue":null,"work_id":"d7757284-d978-418c-81cc-9a7d0f5fabde","year":2009},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.627691Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:2c4896fbfc8950a84ced6da8e2489c38e5bb5c2f88912d4aa845f39b4e779332","observation_id":"3ebc870b-7448-4134-9c58-c795178a73fe","resolution":{"observed_at":"2026-08-10T17:31:15.097641Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.082793Z","title":"Scalar curvature and harmonic maps to s1","venue":null,"work_id":"5ab1d2ab-76e5-496c-bec5-7543e6e7f145","year":2022},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.631242Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:7b9b8e534869a329a1b9db3c80a4defc1b719b9f881f00e2ebaffe1797c3b3a1","observation_id":"4487697f-2ab0-4336-8a06-e9c3ba8ae951","resolution":{"observed_at":"2026-08-10T17:31:15.086673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.069610Z","title":"Remarks concerning the conformal deformation of riemannian structures on compact manifolds","venue":null,"work_id":"77fa1908-e128-44ad-a685-9a41119af9d3","year":1968},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.635978Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:0feb80fb972c94e54ff167c9073cb0ddf4d3dd8e39667e4814416b75e7f9ba8a","observation_id":"8ab9f53e-b300-414b-8ac6-a9b4a1d53534","resolution":{"observed_at":"2026-08-10T17:31:15.075257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.057991Z","title":"A new proof of the positive energy theorem","venue":null,"work_id":"431bdf1f-672a-49a5-906b-f195e43f5a1f","year":1981},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.639482Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:73ea061eb3aa1e1dbd7bc414c76dc0dd8ada663ac22bd66e4c4b7ab385c48953","observation_id":"4591ba4b-3ce5-4049-a5d3-35051d17fbeb","resolution":{"observed_at":"2026-08-10T17:31:15.062072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.046392Z","title":"New monotonicity for p-capacitary functions in 3-manifolds with non- negative scalar curvature","venue":null,"work_id":"4292a2f6-52c9-483b-8a87-3e209b2ba267","year":2024},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.643612Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:e0d858ba568c4dbbbe0bbcaa79022184e4bd6c1a430de6d51c68f3d8ad55f640","observation_id":"e9526afb-de05-4b9a-b32e-adc208135214","resolution":{"observed_at":"2026-08-10T17:31:15.050422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T17:31:15.034039Z","title":"On a deformation of riemannian structures on compact manifolds","venue":null,"work_id":"6a6e86f5-ac9b-4eb2-a7f4-adc7a65dac87","year":1960},"citing_paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T17:31:14.647413Z"},"links":{"citing_paper":"/paper/2501.12347"},"observation_digest":"sha256:224a87e3edaa2c22379f74a7df9706ce01e103462644eeb6ab68eea440c06bcf","observation_id":"90d4ae11-9143-4a19-b54b-5dd3a2c6292f","resolution":{"observed_at":"2026-08-10T17:31:15.038122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.12347","last_updated":"2025-01-21T18:25:31Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-11T18:11:54.938461Z","submitted_at":"2025-01-21T18:25:31Z","title":"Euclidean Domains with Nearly Maximal Yamabe Quotient"},"reference_resolution":{"displayed":44,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":7,"verified_fuzzy":30},"total_outbound_references":44},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2501.12347."}