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Paper Citation Record · LEDGER

The Balmer spectrum of integral permutation modules

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:02.375563Z digest=sha256:bfd20a7d515803565616b0b0af52e57f983f4d025e9f1dfa4be0934273aa4d01

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:02.467312Z digest=sha256:1c987167a26d4a3f8ef8b5a7c51679a1765ca20a3f9c51d0c9f9c1ce6134a1ec

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:02.564997Z digest=sha256:2992903a86c6c0faa3956102809d8fe3931e4aa2bdcce6e04dcc6b06b37b9cbd

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:02.686074Z digest=sha256:0471a8576006051b07d271ecf91899c968ae1bc630066908eb282fdca15fbe91

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:02.827043Z digest=sha256:b10bf7554be15532a10474dec7c1a89e374167752d387f870ae3e7ea03eecd4c

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.055339Z digest=sha256:6e48671f4db874ca974896c0c9c227c99dd1664667502cccbe79180ddefe3e09

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.155889Z digest=sha256:4f63b8424fc64e2f30ba734b091cfd2ca4ab49de384971f049c2b25ad795d04d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.299573Z digest=sha256:36338d5b91ced13ed76cadb6b81df0dc1ef9b4b70751dd7672adde8fec25b547

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.459144Z digest=sha256:641ea05d036df328f9b05f91d98f3738ce94d434f0d8bbda5549ecdbca3efc2e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.658334Z digest=sha256:0cc14e61609e472f8d405195688ff04555a9df0592d316160c3b22ef86262efc

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.774498Z digest=sha256:6dadca899122c3272a7ecd82bc32df99ab318330cf98a3e68282b8dc9ce7da7f

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.895904Z digest=sha256:e3efb5807335e298fa8d126b337828861342f275226cab67160443c5243516c1

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:03.984507Z digest=sha256:c3b59445b71d9b9bfa115068914a719bada70bd25ceef130aed3fbf06e8e78dd

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T19:29:04.099568Z digest=sha256:08051da6f17b234e30bb40ad0ccb517a9975249fa9a313c70577204d8284a95f

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