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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.

source=pdf_text observed=2026-08-11T12:02:16.208752Z digest=sha256:e4dd35cbc632cfe61678f261f15d715879f8f99980a5e6fadb8ef85d9ef8d191

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:a7231e83f4a2ea98278e9d5ba561696c1a4cb1d25458c71486007d471e298777

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=sha256:0b36fa825c8e724f1ab1b35fba3502bacbc07124eadac59b07d2a41237741ef2

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:e9b2c49c9f676758b73113d6606cfba2251c2220c03bca31f4052e872d8e6582

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=sha256:3876989d4a171b579cb253e4a60f49e336c63f5af706eed81862e4a88a14f617

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:f722a57779df2848683abf0d206002842ebc8e07f61f2313401d5ef6ac6faf10

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=sha256:7272e717b86dd465d0b504b86a5e815b07159a409eaf9ed213709784bc88bd07

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=sha256:1a94935ddc51cd3a03729b3cc8ea4cee755173110ce68dc4ad91743a75f07035

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=sha256:764672880575e9959aae2c9ceb05347cc7ef258a955787e6fdeaa9f4c5bfca4d

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:a941f98bd4109c7ccb9c1f4b81d59f3a00694123d98c3115e3500431f99f3257

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:fbf1d15dad8c75042b85decf2c0b9a1752eb9ac18509c2a8fe25ab2729fb502b

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:d79614bbd5b9c45cfdda49d23991362a6bb3805dc6bd4b19dd534e4286865187

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.

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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:ac17aaef15c8ff3177b57364361924223fba9d38eff87f3476ace751008d93a4

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=sha256:484d1117d0d364b917ccc7a9213d8f64949385cb87ee8129a1f1d408bdbd2c7a

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
unresolved
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=sha256:29167c91a016065b3f363871bc29fc66ff5b6db2042435ec9e3b768f1c74345a

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.

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

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

source=pdf_text observed=2026-08-11T12:02:16.288994Z digest=sha256:6499ee96a42df400e1af36c0ed4ce180ae95000545fde5a4b8ac0bedea685c55

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=sha256:5076e2e08560a061c0abdd2d5fa8d21ff4d6f1f8b0a22b3adf57ee1aaa63aa1c

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.

source=pdf_text observed=2026-08-11T12:02:16.294947Z digest=sha256:b00092efa9fda3385bdd6c4e8435cdd31b6cdbde7954cd55a33f0aaa44163232

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=sha256:7e992a5b084125ed379ae5280e623fcf91ae456e009f9da595568b38b69013ee

Pith citing papers

No inbound Pith citation observations are available.