Paper Citation Record · LEDGER

Directional growth of coamenable normal subgroups: counterexamples and rigidity

As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2606.01459.

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

pith.paper-citation-record.v1
2606.01459 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T12:48:48.291436Z

measured 31 of 31 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 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

31 of 31 outbound references displayed

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unresolved31
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External citation measurements

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Outbound references

Observation 2e589705-4022-4a40-8f11-bed2edab1011 · outbound

This paper cites Margulis, and Gregory A.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Margulis, and Gregory A

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:44.155559Z

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Observation e9bee6a2-a23b-43f1-911d-5e9798f19490 · outbound

This paper cites R´ eseaux arithm´ etiques et commensurateur d’apr` es G.

Directional growth of coamenable normal subgroups: counterexamples and rigidity R´ eseaux arithm´ etiques et commensurateur d’apr` es G

Reference 2

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Observation 07ebd1a0-ac03-47ab-86a2-f027f21e63bc · outbound

This paper cites Actions propres sur les espaces homog` enes r´ eductifs.Ann.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Actions propres sur les espaces homog` enes r´ eductifs.Ann

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:44.378093Z

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Observation 6d105076-e2c4-469e-8722-d08e9e235bb4 · outbound

This paper cites Propri´ et´ es asymptotiques des groupes lin´ eaires.Geom.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Propri´ et´ es asymptotiques des groupes lin´ eaires.Geom

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:44.503968Z

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Observation 5886b24a-c915-420a-8e28-2e68bdebba2b · outbound

This paper cites Confined subgroups in groups with contracting elements.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Confined subgroups in groups with contracting elements

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:44.620720Z

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Observation 54edfb8c-b80b-4215-b973-8ee9e697335b · outbound

This paper cites Twisted Patterson-Sullivan measures and applications to amenability and coverings.Mem.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Twisted Patterson-Sullivan measures and applications to amenability and coverings.Mem

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:44.776972Z

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Observation 944b45cf-00fa-479c-b7be-18efd0bf6a5b · outbound

This paper cites Remarks on discrete subgroups with full limit sets in higher rank Lie groups.Int.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Remarks on discrete subgroups with full limit sets in higher rank Lie groups.Int

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:44.893896Z

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Observation 7400346d-c298-48c5-8ec5-2e2a8e01706b · outbound

This paper cites A combination theorem for Anosov subgroups.Math.

Directional growth of coamenable normal subgroups: counterexamples and rigidity A combination theorem for Anosov subgroups.Math

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:45.084750Z

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Observation cfe3d140-7a13-4f98-b6c5-5975b8353916 · outbound

This paper cites Kim, and Hee Oh.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Kim, and Hee Oh

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:45.183489Z

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Observation 9ff1ffde-4405-40b2-9adb-47870513fe48 · outbound

This paper cites Deformations of Anosov subgroups: limit cones and growth indicators.J.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Deformations of Anosov subgroups: limit cones and growth indicators.J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:45.284644Z

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Observation f687bce0-b455-4d67-a496-5d1c4c54c096 · outbound

This paper cites Anosov groups: local mixing, counting and equidistribution.Geom.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Anosov groups: local mixing, counting and equidistribution.Geom

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:45.464743Z

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Observation 2f0bcad6-eb63-4ea6-8359-8ff30fea2e6c · outbound

This paper cites Moduli spaces of local systems and higher Teichm¨ uller theory.Publ.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Moduli spaces of local systems and higher Teichm¨ uller theory.Publ

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:45.554846Z

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Observation dbdeed3c-9ae6-4b71-b6ac-330400041b4c · outbound

This paper cites Anosov representations: domains of disconti- nuity and applications.Invent.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Anosov representations: domains of disconti- nuity and applications.Invent

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:45.644146Z

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Observation 4516d94c-78ec-43ac-9f59-0a3d1ef768af · outbound

This paper cites A non-quasiconvexity embedding theorem for hyperbolic groups.Math.

Directional growth of coamenable normal subgroups: counterexamples and rigidity A non-quasiconvexity embedding theorem for hyperbolic groups.Math

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:45.752101Z

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Observation 447dd431-7cf6-4f8c-94a9-fdec6eca3132 · outbound

This paper cites Anosov subgroups: dynamical and geometric characterizations.Eur.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Anosov subgroups: dynamical and geometric characterizations.Eur

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:45.964136Z

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Observation 7de7f66c-445a-4571-8891-3aed7bce4402 · outbound

This paper cites Morse actions of discrete groups on symmetric spaces: local-to-global principle.Geom.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Morse actions of discrete groups on symmetric spaces: local-to-global principle.Geom

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:46.104821Z

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Observation 42cf4e75-2a0b-4adc-9dbf-9b5b32131438 · outbound

This paper cites Deformation of proper actions on reductive homogeneous spaces.Math.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Deformation of proper actions on reductive homogeneous spaces.Math

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:46.214748Z

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Observation 161b4e04-b4f5-4ce9-a6fe-1c2f1ac850b9 · outbound

This paper cites Eigenvalue gaps for hyperbolic groups and semi- groups.J.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Eigenvalue gaps for hyperbolic groups and semi- groups.J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:46.394750Z

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Observation 5d5e5dcc-67f2-4c6a-9afd-88eaf55a75f9 · outbound

This paper cites an unresolved cited work.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:46.534928Z

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Observation 6cfdebab-c63b-46e1-a9b8-84b7d1b9a0c2 · outbound

This paper cites Kim, Hee Oh, and Yahui Wang.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Kim, Hee Oh, and Yahui Wang

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:46.735704Z

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Observation 2cb571ae-d163-43bb-a4f6-8c45ea8c1403 · outbound

This paper cites Anosov flows, surface groups and curves in projective space.In- vent.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Anosov flows, surface groups and curves in projective space.In- vent

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:46.873672Z

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Observation edd8668c-3215-47e7-adaf-89cf49a4ad21 · outbound

This paper cites Reducible Suspensions of Anosov Representations.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Reducible Suspensions of Anosov Representations

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:47.113502Z

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Observation ddccd97d-8160-4b0a-999b-417f2a0723a5 · outbound

This paper cites Invariant measures for horospherical actions and Anosov groups.Int.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Invariant measures for horospherical actions and Anosov groups.Int

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:47.338273Z

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Observation d9b534e4-e895-4bf9-bc2f-f98da11386cf · outbound

This paper cites Divergence exponentielle des sous-groupes discrets en rang sup´ erieur.Comment.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Divergence exponentielle des sous-groupes discrets en rang sup´ erieur.Comment

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:47.504752Z

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Observation 223ee4dd-719f-4bc2-80ba-eb02597fdc9c · outbound

This paper cites L’indicateur de croissance des groupes de Schottky.Ergodic Theory Dynam.

Directional growth of coamenable normal subgroups: counterexamples and rigidity L’indicateur de croissance des groupes de Schottky.Ergodic Theory Dynam

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:47.665812Z

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Observation 503406d8-39eb-49b3-a9b7-07be4eedda3c · outbound

This paper cites Groupes de Schottky et comptage.Ann.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Groupes de Schottky et comptage.Ann

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:47.764747Z

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Observation ace91366-c30d-418a-b190-4a12a6330c8f · outbound

This paper cites Un th´ eor` eme de Fatou pour les densit´ es conformes avec applications aux revˆ etements galoisiens en courbure n´ egative.Israel J.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Un th´ eor` eme de Fatou pour les densit´ es conformes avec applications aux revˆ etements galoisiens en courbure n´ egative.Israel J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:47.909706Z

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Observation 8ee005f0-7b02-4107-823e-8ed28bb2353f · outbound

This paper cites Hyperconvex representations and exponential growth.Ergodic Theory Dynam.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Hyperconvex representations and exponential growth.Ergodic Theory Dynam

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:47.997292Z

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Observation d1411b27-a535-4755-a173-93b5ccaf3db6 · outbound

This paper cites A report on an ergodic dichotomy.Ergodic Theory Dynam.

Directional growth of coamenable normal subgroups: counterexamples and rigidity A report on an ergodic dichotomy.Ergodic Theory Dynam

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:48.101115Z

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Observation 3aad41dd-4a9e-469f-a321-fa36889219c5 · outbound

This paper cites Classification of algebraic semisimple groups.Proc.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Classification of algebraic semisimple groups.Proc

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:48.195570Z

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Observation ebfc1712-3ea7-4f70-9ccb-757da945f5a1 · outbound

This paper cites Free subgroups in linear groups.J.

Directional growth of coamenable normal subgroups: counterexamples and rigidity Free subgroups in linear groups.J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T12:48:48.291436Z

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