Paper Citation Record · LEDGER

Eigenvalues on spheres

As of 22 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2607.11544.

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

pith.paper-citation-record.v1
2607.11544 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T04:51:37.092555Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:23:50.984898Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T22:23:51.759693Z

Reference resolution

13 of 13 outbound references displayed

verified exact6
verified fuzzy0
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 98c6b43b-0db7-4c94-9edc-e4ddf7d4e3a5 · outbound

This paper cites [Ary26] Shrey Aryan,Spectral obstructions to contracting transport maps on curved spaces (2026).

Eigenvalues on spheres [Ary26] Shrey Aryan,Spectral obstructions to contracting transport maps on curved spaces (2026)

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-14T05:00:16.087653Z

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 efc6ca71-e4d0-413e-a1b8-ee852dab2092 · outbound

This paper cites Burago, M.

Eigenvalues on spheres Burago, M

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T04:51:37.092555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8b4eed1-5baa-4a7c-8efc-c8c74881d341 · outbound

This paper cites 64, 66, and Theorem 44 on p.

Eigenvalues on spheres 64, 66, and Theorem 44 on p

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T04:51:37.092555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 280b179e-159e-4485-88fe-fbba9404cc29 · outbound

This paper cites Cheeger, T.

Eigenvalues on spheres Cheeger, T

Reference 4

Resolution: verified exact; doi, observed 2026-07-14T05:00:16.081430Z

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 f3ceb648-c5f6-4056-8860-584943d663fa · outbound

This paper cites an unresolved cited work.

Eigenvalues on spheres Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T04:51:37.092555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 233bc8bb-3323-45fe-b593-3f953676aff7 · outbound

This paper cites Harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature.

Eigenvalues on spheres Harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-14T05:00:16.070148Z

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 94a3279f-66fe-4314-9abf-b41f9bdb8286 · outbound

This paper cites an unresolved cited work.

Eigenvalues on spheres Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T04:51:37.092555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7cb5663-2c71-4c6a-9d1e-97bd77a9bdb3 · outbound

This paper cites an unresolved cited work.

Eigenvalues on spheres Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T04:51:37.092555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5936b04-8a88-4e26-bb7e-c4ec6e84abad · outbound

This paper cites 117, and Theorem 8.1.1 with Proposition 8.1.3, pp.

Eigenvalues on spheres 117, and Theorem 8.1.1 with Proposition 8.1.3, pp

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T04:51:37.092555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60935db2-862b-48eb-a6fd-7802f1bff69d · outbound

This paper cites London Math.

Eigenvalues on spheres London Math

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T04:51:37.092555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 226b634b-5f42-4b68-982d-010e835cc8f5 · outbound

This paper cites an unresolved cited work.

Eigenvalues on spheres Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-07-14T05:00:16.060125Z

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 f76a350b-4565-4dd4-8cd5-3ad029858d90 · outbound

This paper cites 2, 208–228, DOI 10.1007/BF02564483.

Eigenvalues on spheres 2, 208–228, DOI 10.1007/BF02564483

Reference 12

Resolution: verified exact; doi, observed 2026-07-14T05:00:16.077298Z

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 010d3724-4a30-43ff-b5e3-2f4edb44c118 · outbound

This paper cites Ann.366(2016), no.

Eigenvalues on spheres Ann.366(2016), no

Reference 13

Resolution: verified exact; doi, observed 2026-07-14T05:00:16.064368Z

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.

Pith citing papers

Observation 309fee77-8d56-45cb-96c0-95f3ae19b3ce · inbound

Contraction Maps Generated by Inverse Mean Curvature Flow cites this paper.

Contraction Maps Generated by Inverse Mean Curvature Flow Eigenvalues on spheres

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:11.160813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 018d158c-2540-4c57-a40c-e5430865d634 · inbound

Dimension of polynomial growth harmonic functions on locally conformally flat manifolds with nonnegative Ricci curvature cites this paper.

Dimension of polynomial growth harmonic functions on locally conformally flat manifolds with nonnegative Ricci curvature Eigenvalues on spheres

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:23:51.865420Z

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.