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Paper Citation Record · LEDGER

The spectrum of global representations for families of bounded rank and VI-modules

As of 9 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 3 inbound Pith citation observations for arXiv:2506.21525.

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

pith.paper-citation-record.v1
2506.21525 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:40:10.130938Z

measured 42 of 42 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T23:12:49.066475Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T21:56:12.664748Z

Reference resolution

39 of 39 outbound references displayed

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External citation measurements

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Outbound references

Observation 29ebf11a-d092-4922-a6fe-c9982a5cdb6f · outbound

This paper cites The spectrum of prime ideals in tensor triangulated categories.

The spectrum of global representations for families of bounded rank and VI-modules The spectrum of prime ideals in tensor triangulated categories

Reference 1

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source=arxiv_source observed=2026-08-06T22:40:06.247779Z digest=sha256:06eac1872db54355c372bf263bed5dd35afe688e9c79433ca58816c19d206a8f

Observation d569086c-1255-48a5-998a-233fac2e0839 · outbound

This paper cites Tensor triangular geometry.

The spectrum of global representations for families of bounded rank and VI-modules Tensor triangular geometry

Reference 2

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

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Observation 56e8b62a-e331-427f-98e0-0bf38c020460 · outbound

This paper cites On the surjectivity of the map of spectra associated to a tensor-triangulated functor.

The spectrum of global representations for families of bounded rank and VI-modules On the surjectivity of the map of spectra associated to a tensor-triangulated functor

Reference 3

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Observation 2cfe8306-609c-454f-8eb6-c915479d99bc · outbound

This paper cites Homological support of big objects in tensor-triangulated categories.

The spectrum of global representations for families of bounded rank and VI-modules Homological support of big objects in tensor-triangulated categories

Reference 4

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Observation a58e596b-9c8d-490e-9da0-2e106a1f2e56 · outbound

This paper cites Cohen's theorem in tensor triangular geometry.

The spectrum of global representations for families of bounded rank and VI-modules Cohen's theorem in tensor triangular geometry

Reference 5

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Observation 2bc6a55b-b248-4037-8581-9f616c32753d · outbound

This paper cites Global representation theory: Homological foundations.

The spectrum of global representations for families of bounded rank and VI-modules Global representation theory: Homological foundations

Reference 6

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Observation 92a65c21-42c2-4b4d-82f6-3aa8c4634a90 · outbound

This paper cites Quillen stratification in equivariant homotopy theory.

The spectrum of global representations for families of bounded rank and VI-modules Quillen stratification in equivariant homotopy theory

Reference 7

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Observation a6e399e1-bcb5-48f0-a1e3-48abe65c77d3 · outbound

This paper cites On surjectivity in tensor triangular geometry.

The spectrum of global representations for families of bounded rank and VI-modules On surjectivity in tensor triangular geometry

Reference 8

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Observation 9f3c0881-042c-418c-8e1f-79778b7e4038 · outbound

This paper cites an unresolved cited work.

The spectrum of global representations for families of bounded rank and VI-modules Unresolved cited work

Reference 9

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Observation ee6c7eab-8f6f-4fc2-a110-b4f14b119326 · outbound

This paper cites an unresolved cited work.

The spectrum of global representations for families of bounded rank and VI-modules Unresolved cited work

Reference 10

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Observation bc24d62a-2658-4bd2-a3bf-9d81a8990d47 · outbound

This paper cites Blumberg, David Gepner, and Gon c alo Tabuada.

The spectrum of global representations for families of bounded rank and VI-modules Blumberg, David Gepner, and Gon c alo Tabuada

Reference 11

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Observation 8fd30d68-d0c2-4040-8fef-c08803f702d8 · outbound

This paper cites The B almer spectrum of the equivariant homotopy category of a finite abelian group.

The spectrum of global representations for families of bounded rank and VI-modules The B almer spectrum of the equivariant homotopy category of a finite abelian group

Reference 12

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Observation f0bae06b-8444-4bd1-a289-8533475a02da · outbound

This paper cites The spectrum of the equivariant stable homotopy category of a finite group.

The spectrum of global representations for families of bounded rank and VI-modules The spectrum of the equivariant stable homotopy category of a finite group

Reference 13

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Observation 1e30b746-a86b-45b8-bc0e-059e9c23775a · outbound

This paper cites Spectral spaces , volume 35 of New Mathematical Monographs.

The spectrum of global representations for families of bounded rank and VI-modules Spectral spaces , volume 35 of New Mathematical Monographs

Reference 14

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Observation 73f6b237-6161-45bc-8e76-855e70acf7f3 · outbound

This paper cites Tensor triangular geometry of filtered modules.

The spectrum of global representations for families of bounded rank and VI-modules Tensor triangular geometry of filtered modules

Reference 15

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Observation b3078598-26f8-4a16-8835-67b892c7c4e0 · outbound

This paper cites Lax colimits and free fibrations in -categories.

The spectrum of global representations for families of bounded rank and VI-modules Lax colimits and free fibrations in -categories

Reference 16

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Observation f1309fb8-8a7b-4109-b73b-ee97fd37f346 · outbound

This paper cites Global 2-rings and genuine refinements.

The spectrum of global representations for families of bounded rank and VI-modules Global 2-rings and genuine refinements

Reference 17

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Observation 5dd4dd3f-c506-4adc-ac9b-f8086a5a2732 · outbound

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The spectrum of global representations for families of bounded rank and VI-modules Unresolved cited work

Reference 18

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Observation e0f1d961-9114-4028-b64d-dbc7040d97bd · outbound

This paper cites A comparison of two models of orbispaces.

The spectrum of global representations for families of bounded rank and VI-modules A comparison of two models of orbispaces

Reference 19

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Observation d06379b9-9d79-4d0e-806e-13d81ee7c023 · outbound

This paper cites Hochster duality in derived categories and point-free reconstruction of schemes.

The spectrum of global representations for families of bounded rank and VI-modules Hochster duality in derived categories and point-free reconstruction of schemes

Reference 20

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Observation 96653291-b0f4-4f45-96b0-f7a407f7bbd2 · outbound

This paper cites Global homotopy theory via spectral Mackey functors.

The spectrum of global representations for families of bounded rank and VI-modules Global homotopy theory via spectral Mackey functors

Reference 21

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Observation 5a6b99d3-ffe3-4592-8b11-91b7922860f6 · outbound

This paper cites an unresolved cited work.

The spectrum of global representations for families of bounded rank and VI-modules Unresolved cited work

Reference 22

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Observation 42b911e3-a522-4109-a577-70fb2390068e · outbound

This paper cites Global homotopy theory via partially lax limits.

The spectrum of global representations for families of bounded rank and VI-modules Global homotopy theory via partially lax limits

Reference 23

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Observation 2c4c6080-4abd-4b22-99cb-0e96673cb275 · outbound

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The spectrum of global representations for families of bounded rank and VI-modules Unresolved cited work

Reference 24

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Observation 1cc23534-d999-430f-96f3-de4254d29001 · outbound

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The spectrum of global representations for families of bounded rank and VI-modules Higher topos theory , volume 170 of Annals of Mathematics Studies

Reference 25

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The spectrum of global representations for families of bounded rank and VI-modules Higher algebra

Reference 26

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

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Observation fb4039ed-9fbb-4ff9-ac1e-c342302f4d38 · outbound

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The spectrum of global representations for families of bounded rank and VI-modules Unresolved cited work

Reference 27

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Observation 1d6a0142-a89d-4183-9091-5be11730c9ad · outbound

This paper cites Nilpotence and descent in equivariant stable homotopy theory.

The spectrum of global representations for families of bounded rank and VI-modules Nilpotence and descent in equivariant stable homotopy theory

Reference 28

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

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Observation 6d5284e6-333a-484c-912a-bfef8d47b919 · outbound

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The spectrum of global representations for families of bounded rank and VI-modules V I -modules in nondescribing characteristic, part I

Reference 29

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

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Observation f7614ac3-eca9-48d6-98de-27c20ef0581d · outbound

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The spectrum of global representations for families of bounded rank and VI-modules V I -modules in non-describing characteristic, part II

Reference 30

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

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The spectrum of global representations for families of bounded rank and VI-modules The connection between the K -theory localization theorem of T homason, T robaugh and Y ao and the smashing subcategories of B ousfield and R avenel

Reference 31

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Observation 3a7f86af-0b53-4554-9075-34f55ad43f41 · outbound

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The spectrum of global representations for families of bounded rank and VI-modules On finitely generated profinite groups

Reference 32

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Observation e3884461-9bc0-4bdc-a725-d0fb6bf74a0b · outbound

This paper cites On finitely generated profinite groups.

The spectrum of global representations for families of bounded rank and VI-modules On finitely generated profinite groups

Reference 33

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

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Observation 2175f2a2-e3b7-437b-b2b1-5bddcfc54458 · outbound

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The spectrum of global representations for families of bounded rank and VI-modules Unresolved cited work

Reference 34

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source=arxiv_source observed=2026-08-06T22:40:09.438256Z digest=sha256:1d8eede8ab4764bbb1b53f28bb8f96637a32191c12149ba1e08872122ec05413

Observation 33d605b8-6970-422e-906a-2a2838573449 · outbound

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The spectrum of global representations for families of bounded rank and VI-modules Strickland

Reference 35

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

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Observation 2fa78d93-8516-45ee-9ac1-408389493679 · outbound

This paper cites Global homotopy theory , volume 34 of New Mathematical Monographs.

The spectrum of global representations for families of bounded rank and VI-modules Global homotopy theory , volume 34 of New Mathematical Monographs

Reference 36

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Unavailable: canonical work link unavailable.

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Observation d3584197-ceed-428d-b774-5d67b6c2723f · outbound

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The spectrum of global representations for families of bounded rank and VI-modules The spectrum of the singularity category of a category algebra

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:40:11.406044Z

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.

source=arxiv_source observed=2026-08-06T22:40:09.785787Z digest=sha256:c3a2eee235814a7e75f8d0b427454a592172ec23b2d4e97a7c69c69c1e642905

Observation 1ec92a63-0e40-4fbf-9cfa-b15ceca0dda2 · outbound

This paper cites Rational global homotopy theory and geometric fixed points.

The spectrum of global representations for families of bounded rank and VI-modules Rational global homotopy theory and geometric fixed points

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:40:11.226331Z

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.

source=arxiv_source observed=2026-08-06T22:40:09.956797Z digest=sha256:2ce6a33b38bf922db2b815af0a8d69993e6d8d7bad6ab5c925bc5934f67591e9

Observation 9bbd1c74-bdb4-45db-8e4c-389ae82d3ed9 · outbound

This paper cites Spectra of tensor triangulated categories over category algebras.

The spectrum of global representations for families of bounded rank and VI-modules Spectra of tensor triangulated categories over category algebras

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:40:11.100731Z

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.

source=arxiv_source observed=2026-08-06T22:40:10.130938Z digest=sha256:12d4d64dfac799b38bbc236f930d357288e1ba1c00c8c4302a6f71aa79dbfd7a

Pith citing papers

Observation c712a3e2-bff1-4a69-a293-5c689db5ff4b · inbound

An algebraic model for rational ultracommutative rings cites this paper.

An algebraic model for rational ultracommutative rings The spectrum of global representations for families of bounded rank and VI-modules

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:56:12.670568Z

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.

source=arxiv_source observed=2026-05-08T03:49:26.668029Z digest=sha256:51f2bd5650cd25cbd803676573f12a4151e2d83e75518aca12bead1c55a9fe82

Observation a3144c06-8a0b-4eb7-83b0-2044c448177a · inbound

An algebraic model for rational ultracommutative rings cites this paper.

An algebraic model for rational ultracommutative rings The spectrum of global representations for families of bounded rank and VI-modules

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:55:56.944248Z

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.

source=arxiv_source observed=2026-05-11T02:06:49.761105Z digest=sha256:415945a8bea9f710374cf71414a648236244dff36d6c36b37af1a6686319bde4

Observation 325cf63b-d3b2-444c-953d-3531d5459dac · inbound

The Telescope Conjecture for Global Representations and FI-modules cites this paper.

The Telescope Conjecture for Global Representations and FI-modules The spectrum of global representations for families of bounded rank and VI-modules

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T23:12:49.066475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T23:12:49.066475Z digest=sha256:e636627f9196dcf9d523172f4300958b1e1ad1138e15d0b6423b35e457b813e7