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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 2026-08-11T06:34:44.6726+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

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

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

source=pdf_text observed=2026-08-11T12:02:16.213597Z digest=sha256:0024f6b68309f4bb700b479f2e45720bb793de14385fb756452003898b86c581

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

source=pdf_text observed=2026-08-11T12:02:16.217278Z digest=sha256:04eb297047fdd7672f1833520f22cb963890689c6d9f53f515c6502a89259610

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

source=pdf_text observed=2026-08-11T12:02:16.220678Z digest=sha256:4028e2e060372db06f27022c427e2c0b7945d2b0d217336dbd981ccf961ef86b

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

source=pdf_text observed=2026-08-11T12:02:16.224101Z digest=sha256:547ce666dd6e6e70233d1df621b8589c3b14daf622c20171dd69b8d4e112f930

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

source=pdf_text observed=2026-08-11T12:02:16.227145Z digest=sha256:a2566a7034b497731fa43bed2a22b7b82f0549f566f0b39978b341f32c057926

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

source=pdf_text observed=2026-08-11T12:02:16.230669Z digest=sha256:efc4d4511d0240daa2f9da83176ffe7880349860298a1a44d467f6c37163bd40

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

source=pdf_text observed=2026-08-11T12:02:16.233882Z digest=sha256:7946e9420b54aaad59803ea086171eba0e9c90b12f2f34a7c383917c08f14b99

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

source=pdf_text observed=2026-08-11T12:02:16.237268Z digest=sha256:c5aba070f7f6e281c9530e67cec0038337aada55d150286765cfc599b263b62a

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=sha256:504303248c6119f989b0cde9d7149efa6cfa087dac85c0ab6b534458dd117e8a

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=sha256:18819048b4f54d8b4d6790f500a997cd654a1eb1c27c263d9a2e03775c7d3b8f

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

source=pdf_text observed=2026-08-11T12:02:16.248321Z digest=sha256:31ab674a15f4b845eded97870eccacc8f27f281fe240758e8d6e7753348c5b5f

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

source=pdf_text observed=2026-08-11T12:02:16.251444Z digest=sha256:8c7ad296eb4cc769413be17ff6403a7d0a333be57e56bdfd607cd5a5051095f1

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:edc5ab49b06e5457fce5afc258c7f5c124940863658c23526e9191e2688c6600

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

source=pdf_text observed=2026-08-11T12:02:16.258193Z digest=sha256:86e61f80033e54ee7e22003b24aae4eac39267bc47ae60f5fc40e6ad4d6ba6e1

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:c77ee78cfad0f95514e6c49cfa9ab83a80e2fde6abb0be60c2b23d02dac0e819

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

source=pdf_text observed=2026-08-11T12:02:16.267403Z digest=sha256:47f7b9ac58427df142a9a0ce0244a10a62323a467e65c55fdd5d1a0165cfee33

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

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

source=pdf_text observed=2026-08-11T12:02:16.286010Z digest=sha256:b0b80132fd0ca900250804abaa267e1995ce5864f723ba50953f09b2208db611

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

source=pdf_text observed=2026-08-11T12:02:16.288994Z digest=sha256:d7cb326fb76fcf7d04fb246d2f6aaefc34aec27bec88084d2a0ac15303f1e02e

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:a24045ff1cd648ca90c3eb1bf06c133d622582ebba7203acb89b2ba0ef4a70cf

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

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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=sha256:27f99552d042666528b4798badbde3cc6c5c115edd7b31a257ed05251847e697

Pith citing papers

No inbound Pith citation observations are available.