Paper Citation Record · LEDGER

Torus covers with controlled volume and diameter

As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2506.00763.

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

pith.paper-citation-record.v1
2506.00763 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:15:08.075176Z

measured 28 of 28 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 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

28 of 28 outbound references displayed

verified exact2
verified fuzzy23
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c060fb23-ab70-4922-ae88-3739a767d816 · outbound

This paper cites Stability of tori under lower sectional curvature.

Torus covers with controlled volume and diameter Stability of tori under lower sectional curvature

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:12.258216Z

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 6124501a-1e5d-48e6-8e82-d755cda4a3e8 · outbound

This paper cites Periodic metrics.Seminar on Dynamical Systems (St.

Torus covers with controlled volume and diameter Periodic metrics.Seminar on Dynamical Systems (St

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:12.171048Z

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 43139a25-7475-421b-826f-cbfa9a5d5002 · outbound

This paper cites A course in metric geometry.

Torus covers with controlled volume and diameter A course in metric geometry

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:12.030170Z

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 4b0423a6-4019-49e1-b2db-eca10de93a6f · outbound

This paper cites A quantitative bounded distance theorem and a Margulis’ lemma for Zn-actions, with applications to homology.

Torus covers with controlled volume and diameter A quantitative bounded distance theorem and a Margulis’ lemma for Zn-actions, with applications to homology

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:11.903499Z

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 d5f7c77a-3253-4d49-951d-43b7affa938e · outbound

This paper cites an unresolved cited work.

Torus covers with controlled volume and diameter Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:15:11.754843Z

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 52716fb8-2d00-4d67-a08b-50b6b95d22e0 · outbound

This paper cites Metric geometry of locally compact groups.

Torus covers with controlled volume and diameter Metric geometry of locally compact groups

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:11.619852Z

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 4e4a9504-c6a3-4722-b683-4b5e3b2fc859 · outbound

This paper cites Topics in geometric group theory.

Torus covers with controlled volume and diameter Topics in geometric group theory

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:11.469166Z

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 96117733-a97d-4476-a1cd-2d2e34c0eb3b · outbound

This paper cites Fukaya: Theory of convergence for Riemannian orbifolds.

Torus covers with controlled volume and diameter Fukaya: Theory of convergence for Riemannian orbifolds

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:11.324608Z

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 e52f1ae0-1ccc-4e28-a454-187b3ee61c7a · outbound

This paper cites Fukaya and T.

Torus covers with controlled volume and diameter Fukaya and T

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:11.208417Z

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 9a484e18-2c24-4757-b0cd-2066c44cce99 · outbound

This paper cites Metric structures for Riemannian and non-Riemannian spaces.

Torus covers with controlled volume and diameter Metric structures for Riemannian and non-Riemannian spaces

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:10.980481Z

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 fdfc65ed-c61d-44ba-8b6e-144d47f5dbf4 · outbound

This paper cites Groups of polynomial growth and expanding maps.

Torus covers with controlled volume and diameter Groups of polynomial growth and expanding maps

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:10.836801Z

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 e18db83b-af86-467c-8d4e-c4adc5a0a1c2 · outbound

This paper cites Volumes of balls in large Riemannian manifolds.

Torus covers with controlled volume and diameter Volumes of balls in large Riemannian manifolds

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:10.685194Z

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 ea6f2f2f-c635-4496-9f2c-b328a3fc7b57 · outbound

This paper cites Collapsed mani- folds with Ricci bounded covering geometry.

Torus covers with controlled volume and diameter Collapsed mani- folds with Ricci bounded covering geometry

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:10.531919Z

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 d2c8a49d-ffdd-450d-8f66-45517e40f39c · outbound

This paper cites Fibrations and stability for compact group actions on manifolds with local bounded Ricci covering geometry.

Torus covers with controlled volume and diameter Fibrations and stability for compact group actions on manifolds with local bounded Ricci covering geometry

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:10.396832Z

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 75e10964-6b52-40db-8cf7-8b81ddb6f416 · outbound

This paper cites Nilpotency, almost non- negative curvature, and the gradient ﬂow on Alexandrov spaces.

Torus covers with controlled volume and diameter Nilpotency, almost non- negative curvature, and the gradient ﬂow on Alexandrov spaces

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:10.195187Z

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 0257e20e-7565-48ee-ae08-b2eebce6a6c4 · outbound

This paper cites an unresolved cited work.

Torus covers with controlled volume and diameter Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:15:10.056371Z

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 c7a6344f-0e65-459b-b3ba-7fc95a79fb32 · outbound

This paper cites Kloeckner and S.

Torus covers with controlled volume and diameter Kloeckner and S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:09.906855Z

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 588075ca-0b2e-45e7-8678-c99c1c76ea9d · outbound

This paper cites Margulis lemma for compact Lie groups.

Torus covers with controlled volume and diameter Margulis lemma for compact Lie groups

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:09.722505Z

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 f4b1e559-db90-424b-8e0b-bd8b5c9ec598 · outbound

This paper cites Milman and Gideon Schechtman.

Torus covers with controlled volume and diameter Milman and Gideon Schechtman

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:09.533468Z

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 8489cb85-c6ae-4f49-b4e5-c2199131507b · outbound

This paper cites Topology and ε-regularity theorems on collapsed manifolds with Ricci curvature bounds.

Torus covers with controlled volume and diameter Topology and ε-regularity theorems on collapsed manifolds with Ricci curvature bounds

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:09.265191Z

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 d3cb17fd-d793-4e76-9fce-8b7132ff96f1 · outbound

This paper cites Some topological results of Ricci limit spaces.

Torus covers with controlled volume and diameter Some topological results of Ricci limit spaces

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:09.125540Z

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 b9497dff-6f76-45d6-825e-b220a8d9b7f4 · outbound

This paper cites Pontrjagin.

Torus covers with controlled volume and diameter Pontrjagin

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:08.939750Z

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 8ffb9c22-5803-405f-827a-6bc1fdb4b75e · outbound

This paper cites Gromov-Hausdorff Limits of Aspherical Manifolds.

Torus covers with controlled volume and diameter Gromov-Hausdorff Limits of Aspherical Manifolds

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:15:08.470424Z

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 cdc76023-a642-4f45-897e-ff2fe7a2ae00 · outbound

This paper cites Fourier analysis on groups.

Torus covers with controlled volume and diameter Fourier analysis on groups

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:08.806416Z

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 429c8ef0-f574-49cb-ade0-fb706a313b66 · outbound

This paper cites Limits of almost homogeneous spaces and their fundamental grou ps.

Torus covers with controlled volume and diameter Limits of almost homogeneous spaces and their fundamental grou ps

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:08.639902Z

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 3ff10bda-d7b5-4d2d-9300-1ae7670f72b0 · outbound

This paper cites an unresolved cited work.

Torus covers with controlled volume and diameter Unresolved cited work

Reference 26

Resolution: verified exact; raw_fallback, observed 2026-08-07T12:15:08.324897Z

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 5c51299e-158a-467d-9063-e9cbb566eee7 · outbound

This paper cites On the Gromov-Hausdorff limits of Tori with Ricci conditions.

Torus covers with controlled volume and diameter On the Gromov-Hausdorff limits of Tori with Ricci conditions

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T12:15:08.075176Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5635387-de41-4200-8034-e327dfb22f94 · outbound

This paper cites ISBN:3-540-16769-2.

Torus covers with controlled volume and diameter ISBN:3-540-16769-2

Reference 1986

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:15:09.396619Z

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.

Pith citing papers

No inbound Pith citation observations are available.