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Paper Citation Record · LEDGER

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

As of 11 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=sha256:11d34c765b8d31064157a363db8d45b8dd4c05e06a0c5fd0738e356adcc32e08

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:a59a257b4241978409fc78246c61a4d509ec99b79a3e0a042045a09cc9c84355

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:a273ecfae32f216538572d9f5e2e084a9990d44d78b15f820cf2eb1af58ac2e5

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:c87dcab0af4a1f712ea78f744ee914e546399e566a3b6b68f955e27d1443d42a

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:d955f12fe42e7b391832f1e86538d3f6447cdfb48fd3643ac4ba565672e73a65

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=sha256:5860a8387c2079e4765e359c264816aac1258c064733de8eb994af25eaf46957

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=sha256:8fb0f57dff4614fe5e1aab9d501a1e5b43c358471cae1204e12af38a58f1b1de

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=sha256:0867e40a01374920525064076825458be5ffea493f2077f57c9c85f457ff76ba

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:cdea118cf80facd79d0e8112755d60387db6edab896fcdf1335d7422becc52b8

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:ce0e353a3f22f4db261b4c1fed58134777a29b2d13a4fda0d855961ab6affce2

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:c43f835ea840dd24de866e62dd788c421f724252d8539b1ae86dcb83e931dafc

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=sha256:61e09bd11c24a32e3ebb6de6a1e39b3f5dd3a0664d6c186ed79dfa8ab0862a8f

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:ff56da53d364eabfdbf2db5433dfff508b9a62017e70b90ed04121ec22e8afda

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=sha256:266683c1832e51bc76f752b08536eeab931be3b6521cfb94a80f5416a5f27ae3

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=sha256:0148f71accfdc91524c67e184b8e971fd07bb79ed356d7200da8517c183ca64c

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=sha256:51869a0b8958a39b9cee40a4843e8e479154d9c981e7ca1875e4107d3bc55e95

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:e3d61dcf2baa519ba507791fa2a5ac2c39d91726d46edf47df3ba178ba4aa7e9

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.

source=pdf_text observed=2026-08-11T12:02:16.283015Z digest=sha256:929378cb9e771483a24eacdb3aac2a21c971a62e5acf93ed622aac19aaf0140e

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:e2ca65b191e8b3ef9734f91b51d770b775bbba9884e5e70fe5f72ccfe7971d68

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=sha256:8de38010cde84b63eca98d810c093bc0ad1750e12f6f065481814dee258ad9a6

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=sha256:874dd71f92786701a6466b3b963972b98abb3bfa0c64fab90c175ab646250f12

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=sha256:590b7c3373d2a9eea94fded9aacf83b19eca098c513cf8f29ee7769cc4a95b63

Pith citing papers

No inbound Pith citation observations are available.