Paper Citation Record · LEDGER

On Horospherical Rigidity

As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2411.15093.

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

pith.paper-citation-record.v1
2411.15093 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:41:21.293566Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:14:51.553277Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T15:14:52.956168Z

Reference resolution

10 of 10 outbound references displayed

verified exact0
verified fuzzy9
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0ebe269e-6212-4059-bcdb-1e41b3a84dd7 · outbound

This paper cites Ballmann, Riccati Equation and Volume Estimates.

On Horospherical Rigidity Ballmann, Riccati Equation and Volume Estimates

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:41:21.418978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6d2d0896-f525-4cf7-b0d7-8793192f4ee0 · outbound

This paper cites Besson, G.

On Horospherical Rigidity Besson, G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:41:21.409558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e605d103-1f2a-4e03-ad1e-97a846fe0aea · outbound

This paper cites Besson, G.

On Horospherical Rigidity Besson, G

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:41:21.399846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4ba98dc7-125c-414b-81bc-4c9549d5952a · outbound

This paper cites Eschenburg and J.O’Sullivan, Jacobi Tensors and Ricci Curvature Math.

On Horospherical Rigidity Eschenburg and J.O’Sullivan, Jacobi Tensors and Ricci Curvature Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:41:21.390149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1c6fcf24-d790-4007-85a2-292bd9370ddf · outbound

This paper cites Foulon and F.

On Horospherical Rigidity Foulon and F

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:41:21.377508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0bd2d1d7-56f9-4b3f-97ad-db2394340bb9 · outbound

This paper cites an unresolved cited work.

On Horospherical Rigidity Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:41:21.366969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d84108ed-f684-4f3b-8ac5-087ecde97e4c · outbound

This paper cites Satoh, Horospheres and hyperbolic spaces Kyushu J.

On Horospherical Rigidity Satoh, Horospheres and hyperbolic spaces Kyushu J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:41:21.356058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4980dac8-5c0b-4755-9ff9-137440aa9d5c · outbound

This paper cites Satoh and Y.

On Horospherical Rigidity Satoh and Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:41:21.345535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ec7a0892-d9ae-496b-a477-01eaf05c53de · outbound

This paper cites Knieper, Spherical means on compact Riemannian manifolds of negative curvature.

On Horospherical Rigidity Knieper, Spherical means on compact Riemannian manifolds of negative curvature

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:41:21.335064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0f9bd1c4-5c15-4cd2-910c-24583a377661 · outbound

This paper cites Petersen, Riemannian Geometry.

On Horospherical Rigidity Petersen, Riemannian Geometry

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:41:21.323542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 632ec7a6-6165-4c0a-aea5-af06d81184ac · inbound

Volume growth of horospheres in diagonalizable Heintze groups cites this paper.

Volume growth of horospheres in diagonalizable Heintze groups On Horospherical Rigidity

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:14:53.041836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.