{"as_of":"2026-08-10T12:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ea5b068274606e975c1f01051c559dfd2e99c3dc1a6948deb8b0f3e1a22c2d64","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T21:54:27.744392Z","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":"2026-08-04T21:54:28.049875Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.05128","last_updated":"2024-10-07T15:28:34Z","snapshot_observed_at":"2026-07-06T19:29:05.492290Z","submitted_at":"2024-10-07T15:28:34Z","title":"Decentralized Online Riemannian Optimization with Dynamic Environments","version":1},"cited_work":{"arxiv_id":"2410.05128","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.05128","snapshot_observed_at":"2026-08-04T21:54:28.049875Z","title":"Decentralized Online Riemannian Optimization with Dynamic Environments","venue":"math.OC","work_id":"6d949973-80cb-4d72-b1a7-db5b59607d20","year":2024},"citing_paper":{"arxiv_id":"2509.07779","last_updated":"2026-06-06T13:17:33Z","snapshot_observed_at":"2026-08-08T13:46:27.908621Z","submitted_at":"2025-09-09T14:14:46Z","title":"Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T21:54:27.744392Z"},"links":{"cited_paper":"/paper/2410.05128","citing_paper":"/paper/2509.07779"},"observation_digest":"sha256:0a69b5c891ba8ab8c3ac0887d43fa3c7afbb088639937613c64e61a2e339de52","observation_id":"6babd1b3-7d00-45d3-9b6c-a2809886ce33","resolution":{"observed_at":"2026-08-04T21:54:28.054872Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.05128","last_updated":"2024-10-07T15:28:34Z","snapshot_observed_at":"2026-07-06T19:29:05.492290Z","submitted_at":"2024-10-07T15:28:34Z","title":"Decentralized Online Riemannian Optimization with Dynamic Environments","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.05128","snapshot_observed_at":"2026-08-04T17:01:57.001317Z","title":"Decentralized online riemannian opti- mization with dynamic environments.arXiv preprint arXiv:2410.05128, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.11236","last_updated":"2025-09-14T12:27:31Z","snapshot_observed_at":"2026-08-08T01:04:11.830615Z","submitted_at":"2025-09-14T12:27:31Z","title":"Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T17:01:57.001317Z"},"links":{"cited_paper":"/paper/2410.05128","citing_paper":"/paper/2509.11236"},"observation_digest":"sha256:feee002e940c965345f3ec7ad5b811b86a9f6ac7310b06690613c725b6934974","observation_id":"767a1c0a-24d8-4abb-9196-9d256a92cf22","resolution":{"observed_at":"2026-08-04T17:01:57.001317Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.05128","last_updated":"2024-10-07T15:28:34Z","snapshot_observed_at":"2026-07-06T19:29:05.492290Z","submitted_at":"2024-10-07T15:28:34Z","title":"Decentralized Online Riemannian Optimization with Dynamic Environments","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.05128","snapshot_observed_at":"2026-08-03T18:36:59.400218Z","title":"Decentralized online Riemannian optimization with dynamic environments,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.04915","last_updated":"2026-05-25T12:12:09Z","snapshot_observed_at":"2026-08-08T20:49:20.763402Z","submitted_at":"2025-12-04T15:43:55Z","title":"Distributed Riemannian Optimization in Geodesically Non-convex Environments","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T18:36:59.400218Z"},"links":{"cited_paper":"/paper/2410.05128","citing_paper":"/paper/2512.04915"},"observation_digest":"sha256:44e2f7c1af4622c1fac5bc19176d0f96f936be66007a670c97b79e938b03d03a","observation_id":"22572284-ecb6-472a-8dca-2fafb9e22697","resolution":{"observed_at":"2026-08-03T18:36:59.400218Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.05128","last_updated":"2024-10-07T15:28:34Z","snapshot_observed_at":"2026-07-06T19:29:05.492290Z","submitted_at":"2024-10-07T15:28:34Z","title":"Decentralized Online Riemannian Optimization with Dynamic Environments","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.05128","snapshot_observed_at":"2026-08-01T10:18:42.852064Z","title":"Decentralized online Riemannian optimization with dynamic environments,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.20316","last_updated":"2026-07-22T16:03:43Z","snapshot_observed_at":"2026-08-07T05:42:13.531403Z","submitted_at":"2026-07-22T16:03:43Z","title":"Decentralized Online Riemannian Optimization for Strongly Geodesically Convex Functions","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T10:18:42.852064Z"},"links":{"cited_paper":"/paper/2410.05128","citing_paper":"/paper/2607.20316"},"observation_digest":"sha256:b16aa5814c8ac7a7fa0be88c1c3a20c8b07ab38060c8b7dab3e86f472028c79d","observation_id":"895ea013-7050-47f5-9e1d-72674f0053cc","resolution":{"observed_at":"2026-08-01T10:18:42.852064Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2410.05128/citation-record","integrity":"/paper/2410.05128/integrity","json":"/paper/2410.05128/citation-record.json","paper":"/paper/2410.05128"},"outbound":[],"paper":{"arxiv_id":"2410.05128","last_updated":"2024-10-07T15:28:34Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-07-06T19:29:05.492290Z","submitted_at":"2024-10-07T15:28:34Z","title":"Decentralized Online Riemannian Optimization with Dynamic Environments"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2410.05128."}