Paper Citation Record · LEDGER

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups

As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2506.08449.

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

pith.paper-citation-record.v1
2506.08449 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:25:47.683632Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

verified exact2
verified fuzzy9
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d20b0372-a559-473c-b327-701fff8f4630 · outbound

This paper cites Baake, J.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Baake, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:47.859326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6cb2c49d-e591-4280-b9ce-8ae77cdfa87f · outbound

This paper cites an unresolved cited work.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:47.849262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7fde85eb-c1c8-47c8-83e8-df3253b7b8c2 · outbound

This paper cites Basmajian and R.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Basmajian and R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:47.838780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9ce15af6-0394-4f34-95dd-5fa0a7daff3e · outbound

This paper cites Basmajian and R.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Basmajian and R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:47.828697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fe7611be-43ce-4d8d-a61e-db9217221ca3 · outbound

This paper cites Basmajian and Mingkun Liu, Low lying geodesics on the modular surface and necklaces, Mathematical research letters, to appear.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Basmajian and Mingkun Liu, Low lying geodesics on the modular surface and necklaces, Mathematical research letters, to appear

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:47.818226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0c4ff121-138e-4368-8806-172e766bf315 · outbound

This paper cites Basmajian, R.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Basmajian, R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:47.807807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7f512040-af9c-4939-9988-f926388a9357 · outbound

This paper cites Bourgain and A.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Bourgain and A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:47.798577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4a9f2940-129a-4577-a770-44ce9ce2b018 · outbound

This paper cites Das and K.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Das and K

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:47.789033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b0248e7e-89ce-4b0d-b6b8-b362c2593ef1 · outbound

This paper cites Spherical growth of reciprocal classes in the Hecke Groups.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Spherical growth of reciprocal classes in the Hecke Groups

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:25:47.734507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 85133097-2922-495d-8dc9-54be8b375243 · outbound

This paper cites Erlandsson and J.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Erlandsson and J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:47.779139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d051a626-4605-450c-a77f-4a7a1c719c68 · outbound

This paper cites an unresolved cited work.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:47.769233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 35f87801-3f9d-4c6e-a19c-f3139f7a4aaa · outbound

This paper cites an unresolved cited work.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:47.757488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation edf434e1-26b4-414e-940d-5cf247fff5ff · outbound

This paper cites Counting and equidistribution of strongly reversible closed geodesics in negative curvature.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Counting and equidistribution of strongly reversible closed geodesics in negative curvature

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:25:47.718741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ec4a1b52-ee65-4010-86dc-c971b4a47947 · outbound

This paper cites Sarnak, Reciprocal geodesics.

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups Sarnak, Reciprocal geodesics

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:47.746965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.