Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web
As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1306.3640.
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 2026-08-14T15:12:54.436689Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T02:50:55.592837Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 454a395b-7095-4e07-bb3f-8062a06804ae · inbound
Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams cites this paper.
Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web
Reference 50
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T15:12:54.436689Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1fbe615d-563f-46a0-bc7c-e2a258f05b6e · inbound
On the statistical nature of Betti numbers and Euler characteristic of smooth random fields cites this paper.
On the statistical nature of Betti numbers and Euler characteristic of smooth random fields Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:49:46.117591Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1791ab4-d25b-4857-b8f0-94faa577bf0b · inbound
Non-Gaussian Expansion of Minkowski Tensors in Redshift Space cites this paper.
Non-Gaussian Expansion of Minkowski Tensors in Redshift Space Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web
Reference 113
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T17:50:08.110112Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a516e92-8db4-4f1f-8fa6-37a754764d77 · inbound
TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information cites this paper.
TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web
Reference 240
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T18:34:35.065147Z
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 d5ccbf39-b98c-4237-bcad-42227fcae1a8 · inbound
Testing Statistical Isotropy on the Sphere with Minkowski Tensors cites this paper.
Testing Statistical Isotropy on the Sphere with Minkowski Tensors Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web
Reference 47
- Resolution
- unresolved
- no resolver link, observed 2026-07-31T23:27:09.953738Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.