{"as_of":"2026-08-12T08:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b2626b51d7bc916d4bfc639e9c09f63a8e116d412aaa23ed027dbcb1a0adc7dd","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T14:03:05.514077Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-06-30T14:44:45.691879Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.01492","last_updated":"2025-11-05T18:37:28Z","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$","version":3},"cited_work":{"arxiv_id":"2401.01492","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.01492","snapshot_observed_at":"2026-08-06T02:06:10.031789Z","title":"Chodosh, C","venue":null,"work_id":"9e8f1bce-92ae-441e-81e0-f621b820b9c7","year":2024},"citing_paper":{"arxiv_id":"2409.00583","last_updated":"2026-05-21T06:49:07Z","snapshot_observed_at":"2026-08-02T22:12:17.474547Z","submitted_at":"2024-09-01T02:28:10Z","title":"Notes on scalar curvature lower bounds of steady gradient Ricci solitons","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-23T21:06:09.102014Z"},"links":{"cited_paper":"/paper/2401.01492","citing_paper":"/paper/2409.00583"},"observation_digest":"sha256:d468ae047277da656363560322ebd232990dd45b14a741ece14209ac890612c0","observation_id":"7eef688b-a5d3-4786-ab27-9d7106a22952","resolution":{"observed_at":"2026-08-06T02:06:10.031789Z","resolver_source":"arxiv_id","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":"2401.01492","last_updated":"2025-11-05T18:37:28Z","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$","version":3},"cited_work":{"arxiv_id":"2401.01492","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.01492","snapshot_observed_at":"2026-08-06T02:06:10.031789Z","title":"Chodosh, C","venue":null,"work_id":"9e8f1bce-92ae-441e-81e0-f621b820b9c7","year":2024},"citing_paper":{"arxiv_id":"2412.12631","last_updated":"2026-04-09T08:15:37Z","snapshot_observed_at":"2026-08-03T13:19:41.699706Z","submitted_at":"2024-12-17T07:46:11Z","title":"Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces","version":5},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-23T07:16:37.217949Z"},"links":{"cited_paper":"/paper/2401.01492","citing_paper":"/paper/2412.12631"},"observation_digest":"sha256:51ce50109b5fef3db0517380aecdeba51d7e02aa2b81c2c678f407d62281231d","observation_id":"82ebd3f1-1045-46ac-b194-1fc4a9cdd53d","resolution":{"observed_at":"2026-08-06T02:06:10.031789Z","resolver_source":"arxiv_id","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":"2401.01492","last_updated":"2025-11-05T18:37:28Z","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.01492","snapshot_observed_at":"2026-08-11T14:03:05.514077Z","title":"[CLZ24a] J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.12707","last_updated":"2024-12-17T09:20:55Z","snapshot_observed_at":"2026-08-11T13:46:56.582862Z","submitted_at":"2024-12-17T09:20:55Z","title":"A sharp spectral splitting theorem","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T14:03:05.514077Z"},"links":{"cited_paper":"/paper/2401.01492","citing_paper":"/paper/2412.12707"},"observation_digest":"sha256:539c8bf8545260b1a13bdc4d60e5c0d90fb2e617fdc1322a47b4ddbf4f53332d","observation_id":"303d572a-10ef-4800-8552-e748638353e4","resolution":{"observed_at":"2026-08-11T14:03:05.514077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.01492","last_updated":"2025-11-05T18:37:28Z","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.01492","snapshot_observed_at":"2026-08-11T13:16:24.322739Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.13465","last_updated":"2024-12-18T03:21:04Z","snapshot_observed_at":"2026-08-11T13:04:13.935527Z","submitted_at":"2024-12-18T03:21:04Z","title":"Spectral comparison results for the $N$-Bakry-Emery Ricci tensor","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T13:16:24.322739Z"},"links":{"cited_paper":"/paper/2401.01492","citing_paper":"/paper/2412.13465"},"observation_digest":"sha256:8d75102e6b22d1ccd0b1f8742c68cfbe43e363a8749afe0db70ecec612ebe12e","observation_id":"8a34575e-d5c1-438d-96b8-d95a5b0a59b1","resolution":{"observed_at":"2026-08-11T13:16:24.322739Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.01492","last_updated":"2025-11-05T18:37:28Z","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.01492","snapshot_observed_at":"2026-08-07T15:10:02.087912Z","title":"Chodosh, C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.16595","last_updated":"2026-08-08T14:31:40Z","snapshot_observed_at":"2026-08-12T08:14:33.957131Z","submitted_at":"2025-05-22T12:29:44Z","title":"Stable anisotropic minimal hypersurfaces in $\\mathbb{R}^{5}$ and $\\mathbb{R}^{6}$","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T15:10:02.087912Z"},"links":{"cited_paper":"/paper/2401.01492","citing_paper":"/paper/2505.16595"},"observation_digest":"sha256:6eef019e9481de002045642979b7a2945772db1c9bb2dc6408e4e9f73f8dd6e2","observation_id":"10024b6f-6a7a-4a54-b5ec-23d1f0004671","resolution":{"observed_at":"2026-08-07T15:10:02.087912Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.01492","last_updated":"2025-11-05T18:37:28Z","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.01492","snapshot_observed_at":"2026-08-07T14:43:25.191649Z","title":"Stable minimal hypersurfaces in R5","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.18320","last_updated":"2026-07-11T09:44:42Z","snapshot_observed_at":"2026-08-07T17:41:16.428705Z","submitted_at":"2025-05-23T19:27:01Z","title":"Connected sum of manifolds with spectral Ricci lower bounds","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T14:43:25.191649Z"},"links":{"cited_paper":"/paper/2401.01492","citing_paper":"/paper/2505.18320"},"observation_digest":"sha256:182a5429354120fc3617ada57127b607a84efbda9c12b4c39249ae34da99be0d","observation_id":"f9bdc5ef-0e47-4f4d-8be8-5093ca2e5eb2","resolution":{"observed_at":"2026-08-07T14:43:25.191649Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.01492","last_updated":"2025-11-05T18:37:28Z","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.01492","snapshot_observed_at":"2026-08-06T21:33:57.066447Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.00342","last_updated":"2025-07-01T00:43:21Z","snapshot_observed_at":"2026-08-09T07:21:07.083049Z","submitted_at":"2025-07-01T00:43:21Z","title":"Complete two-sided $\\delta$-stable minimal hypersurfaces in $\\mathbf R^{n+1}$","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T21:33:57.066447Z"},"links":{"cited_paper":"/paper/2401.01492","citing_paper":"/paper/2507.00342"},"observation_digest":"sha256:6db845a8ba4fb29865aa0a3f98c525fb35a42e09e0948f3aa6663eee63d7bd29","observation_id":"840c06c9-c2d6-4256-99ba-b7cad22d8271","resolution":{"observed_at":"2026-08-06T21:33:57.066447Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.01492","last_updated":"2025-11-05T18:37:28Z","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$","version":3},"cited_work":{"arxiv_id":"2401.01492","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.01492","snapshot_observed_at":"2026-08-06T02:06:10.031789Z","title":"Chodosh, C","venue":null,"work_id":"9e8f1bce-92ae-441e-81e0-f621b820b9c7","year":2024},"citing_paper":{"arxiv_id":"2604.14393","last_updated":"2026-04-15T20:13:16Z","snapshot_observed_at":"2026-07-06T23:02:09.426599Z","submitted_at":"2026-04-15T20:13:16Z","title":"Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in $\\mathbb{R}^4$","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-10T11:38:54.549288Z"},"links":{"cited_paper":"/paper/2401.01492","citing_paper":"/paper/2604.14393"},"observation_digest":"sha256:4962d6edecaa991698552927d357d4944b838d9f9f60a655c5d8f2d63710404d","observation_id":"28d7dade-b163-407b-93a4-bf0381b767b3","resolution":{"observed_at":"2026-08-06T02:06:10.031789Z","resolver_source":"arxiv_id","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":"2401.01492","last_updated":"2025-11-05T18:37:28Z","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$","version":3},"cited_work":{"arxiv_id":"2401.01492","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.01492","snapshot_observed_at":"2026-08-06T02:06:10.031789Z","title":"Chodosh, C","venue":null,"work_id":"9e8f1bce-92ae-441e-81e0-f621b820b9c7","year":2024},"citing_paper":{"arxiv_id":"2605.11384","last_updated":"2026-05-12T01:14:48Z","snapshot_observed_at":"2026-07-06T23:23:11.928199Z","submitted_at":"2026-05-12T01:14:48Z","title":"Rigidity and flexibility under spectral Ricci lower bounds and mean-convex boundary","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-13T01:58:15.439876Z"},"links":{"cited_paper":"/paper/2401.01492","citing_paper":"/paper/2605.11384"},"observation_digest":"sha256:a502c369928fc806b6a28beb77d59199acee297cb30e61474371e140a7c9bc17","observation_id":"631c02dd-e202-4028-9208-ed5af3694870","resolution":{"observed_at":"2026-08-06T02:06:10.031789Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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":"2401.01492","last_updated":"2025-11-05T18:37:28Z","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$","version":3},"cited_work":{"arxiv_id":"2401.01492","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.01492","snapshot_observed_at":"2026-08-06T02:06:10.031789Z","title":"Chodosh, C","venue":null,"work_id":"9e8f1bce-92ae-441e-81e0-f621b820b9c7","year":2024},"citing_paper":{"arxiv_id":"2606.30008","last_updated":"2026-06-29T09:14:12Z","snapshot_observed_at":"2026-08-06T14:53:33.396448Z","submitted_at":"2026-06-29T09:14:12Z","title":"Bernstein-type theorem for stationary hypersurfaces of the Euler-Dierkes-Huisken functional","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-30T05:23:32.887244Z"},"links":{"cited_paper":"/paper/2401.01492","citing_paper":"/paper/2606.30008"},"observation_digest":"sha256:96e8024fad9100a718e2172590caf94022739593ebabcd7b5da83a1724b40644","observation_id":"1f74e645-7023-48bd-b94b-862f44928e08","resolution":{"observed_at":"2026-08-06T02:06:10.031789Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2401.01492/citation-record","integrity":"/paper/2401.01492/integrity","json":"/paper/2401.01492/citation-record.json","paper":"/paper/2401.01492"},"outbound":[],"paper":{"arxiv_id":"2401.01492","last_updated":"2025-11-05T18:37:28Z","latest_version":3,"primary_category":"math.DG","snapshot_observed_at":"2026-08-08T23:12:31.999953Z","submitted_at":"2024-01-03T01:37:54Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^5$"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+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 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2401.01492."}