Paper Citation Record · LEDGER

Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2011.12851.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2011.12851 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:49:48.226915Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-18T01:12:15.317687Z

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 971dd8f8-1ad9-45c5-9c7c-872fa0422edd · 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 Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-06T19:49:48.226915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc6f6ced-a51b-4739-9ec9-14c7efe4beaa · inbound

Quantifying Weighted Morphological Content of Large-Scale Structures via Simulation-Based Inference cites this paper.

Quantifying Weighted Morphological Content of Large-Scale Structures via Simulation-Based Inference Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies

Reference 55

Resolution: verified exact; arxiv_id, observed 2026-05-18T01:12:15.319543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 77367b79-cb29-4fe4-b0ca-c779534e369c · inbound

Topological Signatures of Heating and Dark Matter in the 21 cm Forest cites this paper.

Topological Signatures of Heating and Dark Matter in the 21 cm Forest Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-17T21:20:16.880542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8f34102a-3736-42ac-9036-b1e15eb4e692 · inbound

Counting voids and filaments: Betti Curves as a Powerful Probe for Cosmology cites this paper.

Counting voids and filaments: Betti Curves as a Powerful Probe for Cosmology Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies

Reference 59

Resolution: verified exact; arxiv_id, observed 2026-05-17T01:13:47.795529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c46389b-4f9f-4b64-a689-585ec07df0e0 · inbound

Testing Statistical Isotropy on the Sphere with Minkowski Tensors cites this paper.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies

Reference 54

Resolution: unresolved; no resolver link, observed 2026-07-31T23:27:10.642755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97a44a93-e0d9-4741-8be9-a349260a3e68 · inbound

Weighted Webs: Morphology-Informed Marked Fields cites this paper.

Weighted Webs: Morphology-Informed Marked Fields Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T00:53:53.454661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.