Paper Citation Record · LEDGER

Measuring the topology of reionization with Betti numbers

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2012.12908.

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

pith.paper-citation-record.v1
2012.12908 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:49:48.098445Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T21:20:16.882829Z

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 bb298099-8cf0-4708-8cb6-3bf57a2b4c9c · 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 Measuring the topology of reionization with Betti numbers

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-06T19:49:48.098445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b34634c6-e22a-4373-a678-1074320db601 · inbound

Probing initial isocurvature perturbation with 21cm one-point statistics cites this paper.

Probing initial isocurvature perturbation with 21cm one-point statistics Measuring the topology of reionization with Betti numbers

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-04T16:19:51.429887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6412bb2-d4dc-47e0-a368-db0b2f1c44b6 · 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 Measuring the topology of reionization with Betti numbers

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-17T21:20:16.885764Z

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 7070e8d7-dd17-45cf-a879-d48412492bcf · inbound

Wavelet-Scattering Signatures of Fuzzy Dark Matter in Simulated 21 cm Brightness-Temperature Maps cites this paper.

Wavelet-Scattering Signatures of Fuzzy Dark Matter in Simulated 21 cm Brightness-Temperature Maps Measuring the topology of reionization with Betti numbers

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-03T19:30:09.588837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.