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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:d968a64d6bd567842fb779776e3c05ef595541bc19ef8c2e1be110515c1c40a4

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=sha256:26b25cc02af6bd5fc36bf574d6bcb3dc92ab1904b56ab7bf9dcffba29a7e68ab

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:c7041b02fd8b28ecb54d6791a87d58c1e15cb137bacf2398a5e312ec13a0b11c

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=sha256:1e99eda2fe36cfb4ed60ee7c4bbac6f3716a27aedc2e5561b1d823586f322fc9

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=sha256:261b815821243b6989e59b41ce0bfcb678682af1eb29ae017e6d584b2ffbaac9

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=sha256:933cac7727d0ec7e70be8ef05c0c5ea823e6fdd6d22a74baea9c7d277f711e7d

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=sha256:6c06efa4fc7fb9dccc6fe3a2863c41e413da9c807f8b886066f69e2970fc55b0

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:ff11a326dfd0cb89035ffc52d512150a04d48d6181f972abafa1bdda304c3423

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=sha256:5fc9b74de81f518713d5c9bde117701f224131aa9d8831d8b86474fd2ff0b97b

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=sha256:326b7f3e95dceb48d4a322c48717b38fd170bf871cdad150c7e4ee62251e9dc5

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:e18a96d401f671aded13954876ca1ded95a12121bff5e76cad16d925109c47d6

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=sha256:488bbf853d5063753cad9f9f735cd0d6b7fc05e679a437fa3b832926de6bde7e

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:a825df5d11209133301016d22ef62e31ea4bb21cfb9666dc6cc4ec84aa67be2b

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=sha256:7725a10acf4cb9d3cf7ee51f142f7c4d981fea18f0bc42660b4da8887cfc68a6

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.

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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
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:f668e6b7c57034eb4a1600914260d55938d54bba935a62fe98ba7fc11415ee41

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.

source=pdf_text observed=2026-08-11T12:02:16.264320Z digest=sha256:1dbb5de98ee9b29e4348bc6a4b031208d9127d13ca4c504c5d2df2bc37350a96

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:f273444511132db8b30a75e28285782be99356988380b01158780dfffb34823f

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.

source=pdf_text observed=2026-08-11T12:02:16.270655Z digest=sha256:4e1bee4411b73474814cae4bc962e3642d817a8dfd599b09cf08d6294157d192

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.

source=pdf_text observed=2026-08-11T12:02:16.276762Z digest=sha256:bb6884a1b03e26b262081487311d0c0b20623f5c93f18f4e5515b016f51ffc22

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.

source=pdf_text observed=2026-08-11T12:02:16.280027Z digest=sha256:ed1d93133705f7a9266c014d6f2357c2618b6ffc7c8fc7a05536fbf0de3d6961

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.

source=pdf_text observed=2026-08-11T12:02:16.283015Z digest=sha256:44a846d3ae2f8347dd196a661b2337bf9c86dcd59ca8d2bcc2a331a66291ee93

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=sha256:9c681eb7ba001a3a716ff908e75a6419aee60c52610da63e62fe988e8f9fdc2d

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:e097fcd8dc1063020482c48e1bec550285b3e708c8ffce6f6e75e398e82b6525

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=sha256:2b7ab571ad700c0d8af1793f4355bbb175cbc944a37e813c14c80e835f10d2fd

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:cc7cd43588fbab9f4ff9aa7c6533d9a222833c5d4dfbe165afd575073007fb56

Pith citing papers

No inbound Pith citation observations are available.