{"as_of":"2026-08-15T08:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:542f93af5cb6e497027f19cc7e048a2ffd7f3a7bbc1a73ba89a828775a478f7f","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T05:37:20.587643Z","state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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":"2026-08-05T17:37:24.478427Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-05T17:37:25.377175Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"cited_work":{"arxiv_id":"2606.13455","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.13455","snapshot_observed_at":"2026-08-05T17:37:25.377175Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","venue":"math.DG","work_id":"2af36fac-c4da-4696-b2f4-e5023ed8c671","year":2026},"citing_paper":{"arxiv_id":"2608.03519","last_updated":"2026-08-04T12:03:57Z","snapshot_observed_at":"2026-08-14T05:23:13.425948Z","submitted_at":"2026-08-04T12:03:57Z","title":"Examples of Curvature Inhomogeneous Submanifolds with Constant Ricci Eigenvalues","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T17:37:24.478427Z"},"links":{"cited_paper":"/paper/2606.13455","citing_paper":"/paper/2608.03519"},"observation_digest":"sha256:094b1cb5a760bb6c1f1103cc8737116bc051371b7a67a766b5352d75f64c0896","observation_id":"fea0ef38-72ad-40b7-8403-e51476befa40","resolution":{"observed_at":"2026-08-05T17:37:25.501543Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2606.13455/citation-record","integrity":"/paper/2606.13455/integrity","json":"/paper/2606.13455/citation-record.json","paper":"/paper/2606.13455"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":"Math.,475(2025), 110338","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:40a2c7346b09c1c9082aaee6a15e0b03b6612a2205f2bcbd3c48fe2a34ce77bc","observation_id":"ac9dc07f-5078-46a4-9a16-7d573d6dca8e","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":"Cecil and Patrick J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:ca46c1966706d5168257134a8f2cf4deb543defad27ad4f4e6ccf03aef426f8e","observation_id":"f780c236-f30f-4bfa-8a5f-34559c7159fb","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":"Press, Boston, MA, (2020), 197–260","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:031a0aa4cf3f12f0bb8a920b804177dbfda4311dba7577a2739851f63c4318fb","observation_id":"365ce883-c386-402f-8251-95d87415910e","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":"Differential Geom., 115(2020), 225–301","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:db31a53c6a99c8308273d55f6ba0ae5b26eda669f34a66bc71855fec66ce3f30","observation_id":"2388713b-4ce0-43d5-b618-729a9c744230","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:94638b9e482dc49bb2db63f00aead30a5aaa041b5d919bfebc8dd43f894d4079","observation_id":"902e9c8a-2d28-4a86-a7fb-59a839997da5","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:b69ca964b73791b5c08b6c47a6984a395c5eead996ddf8e38ff5fca98354ea1c","observation_id":"27ddeb5e-ea81-4511-ba33-0f0f156daff0","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":null,"venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:d94d6f437c4bc39242d433bf2e19fc5c3540d17ceb85d248649344f9ea2156e8","observation_id":"42b73937-f576-4986-bfa6-fe50942266ed","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":"Ryan.Homogeneity and some curvature conditions for hypersurfaces, Tohoku Math","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:3a9e66b3bd90fb9e8bc8db9b68228f861b4c38eeeb8edad451dfab904f9f0c44","observation_id":"a90e5c51-bcf8-434b-bb03-f6f7aa23e17c","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":"Singer.Infinitesimally homogeneous spaces, Comm","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:5bd444067922e919d585ae4bcb170e024282894bc8d1f12b9ed432b6cce1e3f6","observation_id":"8545e181-851a-4ad3-8bc3-d274720f8137","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:6e1ed80593204fcb76459581e691b9d5f115aee2af42c12e785b2a16b8d2b231","observation_id":"cd8d5069-e90b-459c-9003-e2f02c335db7","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":"China Math.,66(2023), 143-162","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:00d71b12ba9b3b0bf16976c8d5e1027b32f28d5d8b340f1e0d3e27e1a983a69b","observation_id":"28ea1c70-1e3f-428b-8534-2702fc6d26d3","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T05:37:20.587643Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T05:37:20.587643Z"},"links":{"citing_paper":"/paper/2606.13455"},"observation_digest":"sha256:7bc52953e29b9c8f8f4dc57f040c2ecb91afb353ed8afa3b156a6bff4f3ece25","observation_id":"14da3181-f5f5-4b41-a8af-92f752f9dedb","resolution":{"observed_at":"2026-06-27T05:37:20.587643Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.13455","last_updated":"2026-06-11T15:12:59Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-02T05:52:50.807056Z","submitted_at":"2026-06-11T15:12:59Z","title":"Hypersurfaces with Constant Ricci Eigenvalues in Real Space Forms"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":12},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2606.13455."}