Paper Citation Record · LEDGER

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds

As of 9 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2606.06777.

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

pith.paper-citation-record.v1
2606.06777 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T22:29:43.599863Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

30 of 30 outbound references displayed

verified exact1
verified fuzzy0
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 51923647-fd97-4975-9f03-f4c39b808643 · outbound

This paper cites The noncompact hyperbolic 3-manifold of minimal volume.Proc.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds The noncompact hyperbolic 3-manifold of minimal volume.Proc

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 496b2d5e-b222-4def-9caf-a5c645f78f41 · outbound

This paper cites Volumes ofN-cusped hyperbolic 3-manifolds.J.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Volumes ofN-cusped hyperbolic 3-manifolds.J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 483dae20-9b4a-4879-bc0a-6bcda858d6fe · outbound

This paper cites Waist size for cusps in hyperbolic 3-manifolds.Topology41 (2002), no.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Waist size for cusps in hyperbolic 3-manifolds.Topology41 (2002), no

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d04d23e5-87bb-4433-82c4-a973468104c0 · outbound

This paper cites Waist size for cusps in hyperbolic 3-manifolds II.Geom Dedicata203 (2019) 53–66.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Waist size for cusps in hyperbolic 3-manifolds II.Geom Dedicata203 (2019) 53–66

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e08598c-3bcb-4cc7-b56e-47f153402b7b · outbound

This paper cites Systoles of hyperbolic 3-manifolds.Math.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Systoles of hyperbolic 3-manifolds.Math

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f58e777-d45a-44a2-81c3-b6c41c8f0999 · outbound

This paper cites Systoles of hyperbolic 4-manifolds.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Systoles of hyperbolic 4-manifolds

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-02T16:37:09.521650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fdb47686-3e49-4b73-9719-58ca03bb7f70 · outbound

This paper cites The minimal volume orientable hyperbolic 2-cusped 3-manifolds.Proc.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds The minimal volume orientable hyperbolic 2-cusped 3-manifolds.Proc

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e5eef71-882c-407a-9e35-19da3b32638e · outbound

This paper cites Disques extr´ emaux et surfaces modulaires.Ann.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Disques extr´ emaux et surfaces modulaires.Ann

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8c2ab2b-e1bc-4298-842c-9a123810ad2c · outbound

This paper cites Systoles of hyperbolic manifolds.Algebr.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Systoles of hyperbolic manifolds.Algebr

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62db3fdb-0053-43e9-99b7-0ce43d093db6 · outbound

This paper cites Hyperplane sections in arithmetic hyperbolic manifolds.J.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Hyperplane sections in arithmetic hyperbolic manifolds.J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6787469-c33b-439c-bd8e-7f8e0bdf4f92 · outbound

This paper cites Packing of spheres in spaces of constant curvature.Acta Math.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Packing of spheres in spaces of constant curvature.Acta Math

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bbecfc8-10bb-4065-96a6-ed567ca909d8 · outbound

This paper cites A small arithmetic hyperbolic three-manifold.Proc.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds A small arithmetic hyperbolic three-manifold.Proc

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68170114-8a1f-4cb8-b02a-7051a5ae8713 · outbound

This paper cites The arithmetic hyperbolic 3-manifold of smallest volume.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds The arithmetic hyperbolic 3-manifold of smallest volume

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 074b442f-d0aa-42dc-aa33-9a934002c618 · outbound

This paper cites SnapPy, a computer program for studying the geometry and topology of 3-manifolds, http://snappy.computop.org.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds SnapPy, a computer program for studying the geometry and topology of 3-manifolds, http://snappy.computop.org

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ba68354-689f-47c4-97c4-e9a3723122d2 · outbound

This paper cites The centered dual and the maximal injectivity radius of hyperbolic surfaces.Geom.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds The centered dual and the maximal injectivity radius of hyperbolic surfaces.Geom

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c061f7d-670d-4b17-84f7-abff29e12f1f · outbound

This paper cites Elementary geometry in hyperbolic space.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Elementary geometry in hyperbolic space

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ced2f947-b087-425f-814d-f0439ddec70e · outbound

This paper cites Hyperbolic 3-manifolds of low cusp volume.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Hyperbolic 3-manifolds of low cusp volume

Reference 17

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T16:37:09.518888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a722fed9-c9c4-459a-beaf-55718886abcb · outbound

This paper cites Minimum volume cusped hyperbolic three-manifolds.J.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Minimum volume cusped hyperbolic three-manifolds.J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0531748-a70d-4df5-aa55-4298a8592295 · outbound

This paper cites Exceptional hyperbolic 3-manifolds.Comment.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Exceptional hyperbolic 3-manifolds.Comment

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76c389d6-68aa-4c75-a707-d089b7d78ba8 · outbound

This paper cites Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds.J.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds.J

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54b63f19-d8c3-4183-8a5c-eca989d0c841 · outbound

This paper cites Systole et rayon interne des vari´ et´ es hyperboliques non compactes.Geom.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Systole et rayon interne des vari´ et´ es hyperboliques non compactes.Geom

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2c0c10a-74c4-4d76-ab68-a340b4935957 · outbound

This paper cites Filling Riemannian manifolds.J.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Filling Riemannian manifolds.J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f65fd6c-28ba-4179-ae5a-36126b86096a · outbound

This paper cites Systoles and intersystolic inequalitiesS´ emin.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Systoles and intersystolic inequalitiesS´ emin

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16694980-2be3-4c25-a764-bb36de23a9fc · outbound

This paper cites VOL3 and other exceptional hyperbolic 3-manifolds.Proc.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds VOL3 and other exceptional hyperbolic 3-manifolds.Proc

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83bf80c2-40f7-44f7-94e2-3460dd1f248e · outbound

This paper cites Many cusped hyperbolic 3-manifolds do not bound geometrically.Proc.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Many cusped hyperbolic 3-manifolds do not bound geometrically.Proc

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2dcbf11a-afe8-46c7-bf29-007e96fd5d16 · outbound

This paper cites Systoles and Dehn surgery for hyperbolic 3-manifolds.Algebr.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Systoles and Dehn surgery for hyperbolic 3-manifolds.Algebr

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec27656e-fb65-4586-8e78-ab44f6c9a1a1 · outbound

This paper cites Sphere-packing and volume in hyperbolic 3-space.Comment.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Sphere-packing and volume in hyperbolic 3-space.Comment

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b7efaca-b0b0-4d70-88cc-d982efc474eb · outbound

This paper cites Foundations of hyperbolic manifolds.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds Foundations of hyperbolic manifolds

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 826ec774-2b25-4caf-8f76-3d1167845bdb · outbound

This paper cites The geometry and topology of three-manifolds.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds The geometry and topology of three-manifolds

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3a74504-affd-4fc4-a6fc-4e78d711abda · outbound

This paper cites On Marden’s universal constant of Fuchsian groups.

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds On Marden’s universal constant of Fuchsian groups

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T22:29:43.599863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.