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Paper Citation Record · LEDGER

The Balmer spectrum of integral permutation modules

As of 10 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.05892.

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

pith.paper-citation-record.v1
2507.05892 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:29:04.099568Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

16 of 16 outbound references displayed

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  • verified fuzzy12
  • unresolved2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6c64ccd4-c451-4013-b6c2-81d3e60c8275 · outbound

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

The Balmer spectrum of integral permutation modules The spectrum of prime ideals in tensor triangulated categories

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:07.674220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:02.375563Z digest=sha256:6aada99d5f241bc89740ada9f7636d582115a37d4a5f4379844987aeece0df9c

Observation cc20ba26-8d74-4d6d-a99e-3682748c5a10 · outbound

This paper cites Spectra, spectra, spectra---tensor triangular spectra versus Z ariski spectra of endomorphism rings.

The Balmer spectrum of integral permutation modules Spectra, spectra, spectra---tensor triangular spectra versus Z ariski spectra of endomorphism rings

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:07.382266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:02.467312Z digest=sha256:c2f6f7f3ca6be38b5623959835f5e12a1de7e15842cffdd2bb3628bb3396fd63

Observation 5c3bb341-26ff-4e27-b1c3-b8b1373342cb · outbound

This paper cites Stacks of group representations.

The Balmer spectrum of integral permutation modules Stacks of group representations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:07.113622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:02.564997Z digest=sha256:cf0506d446b5d2b3dc04f6280aad58c0eb57656164e7b3d3ee7afcb17d57ffb0

Observation 4da984b4-e68e-4d7a-83f4-821dae8a1b5d · outbound

This paper cites Separable extensions in tensor-triangular geometry and generalized Q uillen stratification.

The Balmer spectrum of integral permutation modules Separable extensions in tensor-triangular geometry and generalized Q uillen stratification

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:06.870639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:02.686074Z digest=sha256:6a850cce14ca06a4f98307b1b970c5a9b4b950b1b3a11ea7db75cbea421aa146

Observation 15116d90-373c-47b8-b29d-9b1c74226702 · outbound

This paper cites Lattices over finite group schemes and stratification.

The Balmer spectrum of integral permutation modules Lattices over finite group schemes and stratification

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:29:04.599426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:02.827043Z digest=sha256:a97dae0dc76c32b79e1df9a86a487d2d9d1a179d3705ffe2e7c63b6923210225

Observation b4cafd6b-7fba-449c-91a5-3a89d932e708 · outbound

This paper cites Generalized tensor idempotents and the telescope conjecture.

The Balmer spectrum of integral permutation modules Generalized tensor idempotents and the telescope conjecture

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T19:29:02.931881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:29:02.931881Z digest=sha256:230f4ba317f99323171374ac3ce2f448ce54f28261d53ce574501b7db5c47fd0

Observation 66effcfe-5dc2-424f-bc2c-7a735a806f71 · outbound

This paper cites Permutation modules and cohomological singularity.

The Balmer spectrum of integral permutation modules Permutation modules and cohomological singularity

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:06.582891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.055339Z digest=sha256:627f09ba0f7fdaf75b59085ac527735942febea1d0d85a9d2a255e011611e84e

Observation 43d9e6b1-ad64-49e7-9476-254f35d07a54 · outbound

This paper cites Finite permutation resolutions.

The Balmer spectrum of integral permutation modules Finite permutation resolutions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:06.353623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.155889Z digest=sha256:94932e1d672f7b81ca3a279e6421fad4daea403b66dbe93f853c1546ef951d74

Observation bc6578fb-c579-42b3-88d9-eb20fb55fd2f · outbound

This paper cites The geometry of permutation modules.

The Balmer spectrum of integral permutation modules The geometry of permutation modules

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:06.124130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.299573Z digest=sha256:3b010f67794224c52931128150fc3f3bf427148a9bccd74f27b482f5879cd4b9

Observation 9a454f17-b330-4376-a0b4-6d4ca7fa91a0 · outbound

This paper cites Permutation modules, M ackey functors, and A rtin motives.

The Balmer spectrum of integral permutation modules Permutation modules, M ackey functors, and A rtin motives

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:05.879917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.459144Z digest=sha256:0b6f844939e5bf5904e72ccaf51072b807b5133202e6ffdaf65ce4e3cd7f6486

Observation a3795b56-68af-449b-830f-f65a96b572c2 · outbound

This paper cites The spectrum of A rtin motives.

The Balmer spectrum of integral permutation modules The spectrum of A rtin motives

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T19:29:03.552227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:29:03.552227Z digest=sha256:f79f1e530437e0aca07c94cd67902e67ccbfe5548bdad0864f557cd4cebce8e4

Observation 21b28938-6a34-4b2b-bc12-33d88dc5c93e · outbound

This paper cites Fiberwise building and stratification in tensor triangular geometry.

The Balmer spectrum of integral permutation modules Fiberwise building and stratification in tensor triangular geometry

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:29:04.346944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.658334Z digest=sha256:8b5032b288a814755fc2a8c05bd9c1d36e5e2ea0348403cdeeebb91015142345

Observation 99a96e19-e9f3-4eec-982e-70ced0bea7cb · outbound

This paper cites Dirac geometry I : C ommutative algebra.

The Balmer spectrum of integral permutation modules Dirac geometry I : C ommutative algebra

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:05.640320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.774498Z digest=sha256:c118730bd8742764b6c7896d62593f4eb05fa34e6dc18fd1d280a97620d8eed8

Observation e5cbe3a7-1af4-4c71-8099-a7148b8b6c4d · outbound

This paper cites The B almer spectrum of certain D eligne-- M umford stacks.

The Balmer spectrum of integral permutation modules The B almer spectrum of certain D eligne-- M umford stacks

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:05.369417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.895904Z digest=sha256:f834dab899b8a05236e3021dd36f8dd6a0f803d3cbe9f0ed79ef9c977c2c729e

Observation 085a76cc-1884-444e-9d84-cd6eb4ca3e80 · outbound

This paper cites The classification of endotrivial complexes.

The Balmer spectrum of integral permutation modules The classification of endotrivial complexes

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:05.081974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.984507Z digest=sha256:3884ec6b0c616822994b6975925a7fe5204bb061ee3fd49b5f7691fbd77576e4

Observation baea7292-7abb-4a01-8174-7b104aceabea · outbound

This paper cites Spectral reflections of topological spaces.

The Balmer spectrum of integral permutation modules Spectral reflections of topological spaces

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:29:04.795350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-06T19:29:04.099568Z digest=sha256:89c86270238320c893e98a245b58677517f262797149d1e87aeadc487e0d0fc5

Pith citing papers

No inbound Pith citation observations are available.