Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:25:32.693408Z
Paper Citation Record · LEDGER
Expected path length on random manifolds
As of 22 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:1908.07377.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T18:42:43.911273Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-12T18:42:45.820764Z
Reference resolution
33 of 33 outbound references displayed
- verified exact2
- verified fuzzy19
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 12055f8a-1253-4107-bd08-79471ea01f0e · outbound
This paper cites an unresolved cited work.
Expected path length on random manifolds Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:25:33.238839Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation eb31dca0-1e68-4b43-aff9-a478acae32c1 · outbound
This paper cites Arvanitidis, L.
Expected path length on random manifolds Arvanitidis, L
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.223373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 513265a8-03d8-45fd-91d5-1c06cc22b6e9 · outbound
This paper cites an unresolved cited work.
Expected path length on random manifolds Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:25:33.207229Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7ef1828a-bcd5-4d67-b3a2-9ac833f11ca3 · outbound
This paper cites Laplacian Eigenmaps for Dimensionality Re- duction and Data Representation.
Expected path length on random manifolds Laplacian Eigenmaps for Dimensionality Re- duction and Data Representation
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.190374Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation afd7c7a7-6e38-42d4-8f4e-a9ad685cafbe · outbound
This paper cites High-dimensional $p$-norms.
Expected path length on random manifolds High-dimensional $p$-norms
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:25:32.778378Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ed1bfb47-edb3-4ca3-8f75-88fff8f834fe · outbound
This paper cites Variational inference: A review for statisticians.
Expected path length on random manifolds Variational inference: A review for statisticians
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.174032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f7aede3e-0d61-4723-ae9a-bd8c17974d91 · outbound
This paper cites Random projection, margins, kernels, and feature-selection.
Expected path length on random manifolds Random projection, margins, kernels, and feature-selection
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.157810Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 27bba107-3600-43f3-9305-03918166c7d1 · outbound
This paper cites Clarkson.
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.141395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1cd78fc9-c31f-40b4-8bc1-a9d84b515039 · outbound
This paper cites Cram´ er.Mathematical methods of statistics.
Expected path length on random manifolds Cram´ er.Mathematical methods of statistics
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.125226Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f588ae1a-ff49-4b82-9a67-362c8cb2ea4d · outbound
This paper cites An elementary proof of a theorem of Johnson and Lindenstrauss.
Expected path length on random manifolds An elementary proof of a theorem of Johnson and Lindenstrauss
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:25:32.585268Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 96d523b5-355d-4bee-b0c0-52c354cba1de · outbound
This paper cites Donoho and Carrie Grimes.
Expected path length on random manifolds Donoho and Carrie Grimes
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.099447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2f7db8ad-a4f8-4563-9c3f-0cd976afb8a0 · outbound
This paper cites On the remainder term in the central limit theorem.
Expected path length on random manifolds On the remainder term in the central limit theorem
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.084373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 87f68e97-9848-4937-9949-e7952a0c65d2 · outbound
This paper cites an unresolved cited work.
Expected path length on random manifolds Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:25:33.068456Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation dc160cc1-16cc-4b9c-8e0e-6caeb58ca827 · outbound
This paper cites Learning the structure of manifolds using random projections.
Expected path length on random manifolds Learning the structure of manifolds using random projections
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.052903Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 906a556b-01ef-4dfa-aa8f-619858e13852 · outbound
This paper cites Riemannian geometry, volume 3.
Expected path length on random manifolds Riemannian geometry, volume 3
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.037822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d1b0e026-6711-4b58-b6fc-f6a07d5a3e69 · outbound
This paper cites GPy: A Gaussian process framework in python.
Expected path length on random manifolds GPy: A Gaussian process framework in python
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:33.022765Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b5693672-5702-4ac8-9e84-5e9ce41db6e1 · outbound
This paper cites Only Bayes should learn a manifold (on the estimation of differential geometric structure from data).
Expected path length on random manifolds Only Bayes should learn a manifold (on the estimation of differential geometric structure from data)
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:25:32.618536Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c65eda0-8438-41f9-8bb0-4e2ee5c6a586 · outbound
This paper cites an unresolved cited work.
Expected path length on random manifolds Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:25:33.007131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 931a06e2-e94a-4c1c-a783-96bd6dcfc64e · outbound
This paper cites Random projections for manifold learning.
Expected path length on random manifolds Random projections for manifold learning
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:32.990629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 762770f4-1110-4c0a-b682-2d1f4d35587d · outbound
This paper cites Probabilistic solutions to differential equations and their application to Riemannian statistics.
Expected path length on random manifolds Probabilistic solutions to differential equations and their application to Riemannian statistics
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:32.974603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e3b8bdb0-8509-41a3-a10e-822e7c09eac2 · outbound
This paper cites an unresolved cited work.
Expected path length on random manifolds Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:25:32.958972Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5c77bc5c-f417-4a67-bbdb-2552b8dce518 · outbound
This paper cites Auto-Encoding Variational Bayes.
Expected path length on random manifolds Auto-Encoding Variational Bayes
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:32.943045Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 32e63418-1a34-4492-9ac1-b80f32d7060c · outbound
This paper cites Random projections of random manifolds.
Expected path length on random manifolds Random projections of random manifolds
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:25:32.738459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation de2491b6-239a-4278-b120-93ea84f1f865 · outbound
This paper cites Probabilistic non-linear principal component analysis with Gaussian process latent variable models.
Expected path length on random manifolds Probabilistic non-linear principal component analysis with Gaussian process latent variable models
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:32.925992Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d6d01409-134c-4ff5-bbfb-756d335f14a5 · outbound
This paper cites an unresolved cited work.
Expected path length on random manifolds Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:25:32.910709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 68c81329-ce7c-4eeb-ad62-771dbb6b9b7e · outbound
This paper cites Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geo- metric Measurements.
Expected path length on random manifolds Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geo- metric Measurements
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:32.895435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a455e913-af0f-4b1f-9578-25aa7f83a0b4 · outbound
This paper cites an unresolved cited work.
Expected path length on random manifolds Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:25:32.879081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cb80fef5-5dd1-4c65-a058-e0bfad6b4733 · outbound
This paper cites Stochastic back- propagation and approximate inference in deep generative models.
Expected path length on random manifolds Stochastic back- propagation and approximate inference in deep generative models
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:32.862946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1c0c2a8f-9601-49be-a3f3-4e3f658923cf · outbound
This paper cites Nonlinear dimensionality reduction by locally linear embedding.
Expected path length on random manifolds Nonlinear dimensionality reduction by locally linear embedding
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:25:32.675257Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 955c74df-f68b-4207-af0f-9b35f07b2467 · outbound
This paper cites Kernel principal component analysis.
Expected path length on random manifolds Kernel principal component analysis
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:32.836800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation dae5b222-4cf8-441a-8833-e1fcdf593309 · outbound
This paper cites A global geometric framework for nonlinear dimensionality reduction.
Expected path length on random manifolds A global geometric framework for nonlinear dimensionality reduction
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:25:32.684743Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b824ad75-a8f1-42a3-b747-aa4ecb5fd2b7 · outbound
This paper cites Lawrence.
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:25:32.810460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 98362580-6127-45d6-9149-4391151cea57 · outbound
This paper cites an unresolved cited work.
Expected path length on random manifolds Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:25:32.794788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
Observation 8aa30f45-91c4-4317-aba1-67e8fc0890e4 · inbound
Extended Neural Contractive Dynamical Systems: On Multiple Tasks and Riemannian Safety Regions cites this paper.
Extended Neural Contractive Dynamical Systems: On Multiple Tasks and Riemannian Safety Regions Expected path length on random manifolds
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T18:42:45.829458Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.