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Paper Citation Record · LEDGER

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity

As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2608.09726.

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

pith.paper-citation-record.v1
2608.09726 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:02:16.298403Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

28 of 28 outbound references displayed

  • verified exact4
  • verified fuzzy7
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 413282fb-146e-48cf-b90f-f665394a2b4e · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.639614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.208752Z digest=sha256:55b251da5650e67bcfd1ff005f5a5b53c5b993deb982b5a4f51a085a4e38b306

Observation 7292d317-d4d9-4622-8995-4da6f443c8b4 · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.628845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.213597Z digest=sha256:4d061af3a375ebbc0481de9eb0a4d36835434eb9477e69bdf74fec8e855f0a5b

Observation b622de46-0096-40ad-be66-9363d8db9534 · outbound

This paper cites Bouthier, D.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Bouthier, D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:02:16.619607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.217278Z digest=sha256:ec7a4f1fd212919718c4fcb0dcd5dcef1ea24b1354e93ec4f5088860b11f0d88

Observation 3c0ea824-b314-49f5-a206-abf53ce291af · outbound

This paper cites Six-Functor Formalisms I : Constructing functors using category of simplices.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Six-Functor Formalisms I : Constructing functors using category of simplices

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:02:16.461641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.220678Z digest=sha256:3fda9d803e3f720ac84fda925e99e89b436389728566849338d771369abf15e0

Observation cf09c9c7-b133-4484-829d-d5df135a0e56 · outbound

This paper cites Chowdhury.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Chowdhury

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:02:16.610322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.224101Z digest=sha256:06461a2eafbdf2c581ede24b3f62a0cc6faf72040f58ce923322df98b3ba3f4f

Observation c5b23b51-0046-4fb6-8b01-51a9ac8b6ce1 · outbound

This paper cites Six-Functor Formalisms II : The $\infty$-categorical compactification.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Six-Functor Formalisms II : The $\infty$-categorical compactification

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:02:16.448818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.227145Z digest=sha256:1c05866ce3ad76ae727b1ba793f46c99cb54b509c702dc6dba78672057f763e5

Observation 7505bcc3-fec2-4918-89dd-e7f80e482338 · outbound

This paper cites Six-Functor Formalisms III: The construction and extension of 6FFs.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Six-Functor Formalisms III: The construction and extension of 6FFs

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:02:16.435908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.230669Z digest=sha256:97af7cdd6e5318366993f045d383bdfb365c16add237fb4a52f28a2fa789a280

Observation 9c858296-c5dc-4fd9-b17b-c749a3a33e56 · outbound

This paper cites Non-representable six-functor formalisms.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Non-representable six-functor formalisms

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:02:16.422509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.233882Z digest=sha256:2bb199532c2eb6b1a6847e2b4eda556a430ed617e79a652540b34a9f2ac0b33b

Observation f2150cb0-f5d7-40c5-98cf-96dc97438b08 · outbound

This paper cites Dauser and J.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Dauser and J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:02:16.600773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.237268Z digest=sha256:84fe6e57d646e5a70c503c6d371e60bc2498a1efe081d570b2bbf02f75781490

Observation ca30a19a-9210-4662-85b7-53abd58e4835 · outbound

This paper cites On the Motivic Homotopy Type of Algebraic Stacks.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity On the Motivic Homotopy Type of Algebraic Stacks

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T12:02:16.240627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:02:16.240627Z digest=sha256:6e5cd3732e3884c93eef4cb05e35009d8ad1a12ea9f1a7614c85c7a73c892896

Observation 00bdae94-1c24-43a5-b118-f62bd2de0f46 · outbound

This paper cites 6-Functor Formalisms and Smooth Representations.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity 6-Functor Formalisms and Smooth Representations

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T12:02:16.244292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:02:16.244292Z digest=sha256:13abb3a57d99e7713be0958ccbf6616e333d01ac8f4b86f96d99d063152a97eb

Observation 2d3a9309-0767-44b2-afc4-804b2001f78f · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.591570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.248321Z digest=sha256:becc00bce0faf431d0deeed1ca55b3839ea0ec9304e4401e8cec20eb8d66d331

Observation 68f7d837-3be8-4679-a3b5-dd8fa85785fd · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.581134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.251444Z digest=sha256:76b2ae65440e2471c82f9daa863c1b12911a562c82338caeae4cd02bbfddb4f7

Observation 1c095b8b-eecf-4dc7-85c2-661c372c9aed · outbound

This paper cites Gluing restricted nerves of $\infty$-categories.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Gluing restricted nerves of $\infty$-categories

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T12:02:16.254685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:02:16.254685Z digest=sha256:0ddb0e0444e5190b22d4394e6b287be63efcd664eae5c73a10d0afe96673130e

Observation 19169a1c-3cd0-40b8-a7b4-b4e3dff5904c · outbound

This paper cites Liu and W.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Liu and W

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:02:16.570686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 00ada394-4994-469f-9dd0-a920183b6df8 · outbound

This paper cites Lurie.Higher topos theory, volume 170 ofAnnals of Mathematics Studies.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Lurie.Higher topos theory, volume 170 ofAnnals of Mathematics Studies

Reference 16

Resolution
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no resolver link, observed 2026-08-11T12:02:16.261229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:02:16.261229Z digest=sha256:654ccf18112bc77eb64509908051568e2d844af9d5166fd6c8f13b71f85fc92e

Observation 01e28462-357e-448c-8ece-be9c313870ee · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.555520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f1b02bd6-5d3e-40e2-a2b4-001307e873d1 · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.546453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 6f791d7f-8ac5-46fb-8d6d-0098b3121d62 · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.537616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 09daa618-8baf-4399-b022-57e16f300848 · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.529187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.273764Z digest=sha256:9ba7ffaaaf4014a93b68baf193d4b7f2f03a4c471addef5ec8c92c2a04d777e9

Observation 8df98aa1-a879-4c15-a051-48964cd3a8e7 · outbound

This paper cites Morel and V.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Morel and V

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:02:16.520054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b34d2081-f31f-4bbd-b403-b82e03467f2f · outbound

This paper cites RICHARZ and J.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity RICHARZ and J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:02:16.510824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 312eba26-c4b5-4d66-9fce-6618c0d64df0 · outbound

This paper cites Richarz and J.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Richarz and J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:02:16.500454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 7d6974ab-35d9-4975-ae87-4fb4be89d4c8 · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.490916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 6fc53371-3526-4840-ad8f-83e2024b99ca · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.480224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.288994Z digest=sha256:4e87dcf0a8775ac7c833522e9fcb7e541b1e572e4b665b7a3347daa1a99b1703

Observation a8b0b52f-4ffe-4e71-8d09-70cb84ecffc5 · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-11T12:02:16.291979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:02:16.291979Z digest=sha256:3ee8063caf62c91ca8111221c2375a5eeddac82148a0ce4c128fafc803510e13

Observation b294edf7-924f-432d-b040-d2a8ea947328 · outbound

This paper cites an unresolved cited work.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:02:16.470886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:02:16.294947Z digest=sha256:20ecf8e3126d2764967c0735175e2bc21b2f2fef528b7abd01818fb1c18dfca0

Observation d52361d2-0ad7-4a60-98dc-a6aa4fee6ab7 · outbound

This paper cites Tame categorical local Langlands correspondence.

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity Tame categorical local Langlands correspondence

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-11T12:02:16.298403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:02:16.298403Z digest=sha256:4c43a4f9c52ec65d2dc9ffead7c733181cca96c6e773e3bf9e679496683a6d61

Pith citing papers

No inbound Pith citation observations are available.