{"as_of":"2026-08-08T01:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:501534bfa52b8308f4c6ab80d74b17727d963a4e5b39d7fba6c342bc84a56c67","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:24:44.455732Z","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":"2026-08-07T10:24:44.744635Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1208.4706","last_updated":"2012-08-23T09:52:02Z","snapshot_observed_at":"2026-07-06T02:54:13.777135Z","submitted_at":"2012-08-23T09:52:02Z","title":"Geometric Wave Equations","version":1},"cited_work":{"arxiv_id":"1208.4706","doi":null,"metadata_source":"pith","pith_arxiv_id":"1208.4706","snapshot_observed_at":"2026-08-07T10:24:44.744635Z","title":"Geometric Wave Equations","venue":"math.DG","work_id":"9a1a8137-552d-4ec1-a835-edac1bfedf6b","year":2012},"citing_paper":{"arxiv_id":"2506.05728","last_updated":"2025-06-06T04:21:41Z","snapshot_observed_at":"2026-08-07T10:11:18.074122Z","submitted_at":"2025-06-06T04:21:41Z","title":"The Geometry of Extended Kalman Filters on Manifolds with Affine Connection","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T10:24:44.455732Z"},"links":{"cited_paper":"/paper/1208.4706","citing_paper":"/paper/2506.05728"},"observation_digest":"sha256:a6f01b5bfc0fd25499907cb27d588801d9a9c2409197d3a9a1a60d7193a9abc0","observation_id":"78468aca-4d5c-47e3-b7ef-082794d63310","resolution":{"observed_at":"2026-08-07T10:24:44.806578Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1208.4706","last_updated":"2012-08-23T09:52:02Z","snapshot_observed_at":"2026-07-06T02:54:13.777135Z","submitted_at":"2012-08-23T09:52:02Z","title":"Geometric Wave Equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1208.4706","snapshot_observed_at":"2026-08-03T18:37:02.108715Z","title":"Geometric wave equations,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.04915","last_updated":"2026-05-25T12:12:09Z","snapshot_observed_at":"2026-08-03T18:36:56.319047Z","submitted_at":"2025-12-04T15:43:55Z","title":"Distributed Riemannian Optimization in Geodesically Non-convex Environments","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T18:37:02.108715Z"},"links":{"cited_paper":"/paper/1208.4706","citing_paper":"/paper/2512.04915"},"observation_digest":"sha256:044a159bded0e506fc98653e3e1d84b63ed3ca7666edd5e1f2ec8adfbfcc4ea0","observation_id":"276898fd-25f0-459c-8c13-a6ff46e6d095","resolution":{"observed_at":"2026-08-03T18:37:02.108715Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1208.4706/citation-record","integrity":"/paper/1208.4706/integrity","json":"/paper/1208.4706/citation-record.json","paper":"/paper/1208.4706"},"outbound":[],"paper":{"arxiv_id":"1208.4706","last_updated":"2012-08-23T09:52:02Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-07-06T02:54:13.777135Z","submitted_at":"2012-08-23T09:52:02Z","title":"Geometric Wave Equations"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1208.4706."}