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Paper Citation Record · LEDGER

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

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 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 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T17:56:52.026323Z

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

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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 fc3b8a88-24b5-49c5-9451-87c5fea0f400 · inbound

Little ado about everything II: an `emergent' dark energy from structure formation to rule cosmic tensions cites this paper.

Little ado about everything II: an `emergent' dark energy from structure formation to rule cosmic tensions Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-08T17:56:52.026323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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.

source=pdf_text observed=2026-08-06T19:49:48.226915Z digest=sha256:5a07e0b765170e9d41b388a9dd8068f9cde5df6bd64b0148924c2484f8f04cb4

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 2026-08-15T06:32:42.880941+00:00.

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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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-17T21:18:19.245352Z digest=sha256:74f1ef2eee5d05977dbc6d678bbd7adca2adcb2c06d7a82cdf879ed3eca7587f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-17T01:13:37.805096Z digest=sha256:5c75a0486d8f08dd75f6239a75076a8fa5b39f94ddadeffaab3b6dd57ff42cd7

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.

source=pdf_text observed=2026-07-31T23:27:10.642755Z digest=sha256:7f650765b6201ad260869a480ea153d79fc9e2621e219d2a3b2668205d206a0a

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.

source=pdf_text observed=2026-08-01T00:53:53.454661Z digest=sha256:98f830b31a512294fd6791c82b1e9bd79a99f8d3326fc803cf53c8f0b4005839