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Paper Citation Record · LEDGER

Compact approximation and descent for algebraic stacks

As of 22 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 6 inbound Pith citation observations for arXiv:2504.21125.

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

pith.paper-citation-record.v1
2504.21125 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:21:50.732196Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T06:44:32.447061Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T01:06:23.775210Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact6
  • verified fuzzy4
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 57f2637c-9cb2-4175-beec-89427c022984 · outbound

This paper cites Elements of mathematics.

Compact approximation and descent for algebraic stacks Elements of mathematics

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:21:51.052709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T05:21:50.687572Z digest=sha256:8ed457f649d6df6530524a9337c7df32f6d1d894c59756d41ac803180efcdee8

Observation 2a1f9c7c-cdac-4f3c-8f13-d7fded2a844c · outbound

This paper cites D´ evissage for generation in derived categories.

Compact approximation and descent for algebraic stacks D´ evissage for generation in derived categories

Reference 6

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verified exact
raw_fallback, observed 2026-08-16T05:21:50.912169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T05:21:50.693892Z digest=sha256:bf86fe9bca458c9109fd5fe96647932c720b1eb84f548f0e398098086d2b7417

Observation 367c1d92-e19e-4422-9833-d522d2d54a28 · outbound

This paper cites Approximability and Rouquier dimension for noncommutative algebras over schemes.

Compact approximation and descent for algebraic stacks Approximability and Rouquier dimension for noncommutative algebras over schemes

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T05:21:50.697331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:21:50.697331Z digest=sha256:07ea8a019488c46596b8a26dce9e44c0277913102d8383a049b641e65d529950

Observation 64c571df-fd80-485f-9e30-764226846e9d · outbound

This paper cites Descending strong generation in algebraic geometry.

Compact approximation and descent for algebraic stacks Descending strong generation in algebraic geometry

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-16T05:21:50.701354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:21:50.701354Z digest=sha256:407cc0ad98dc1ebfe420174d223bf193489256d7cbd52db586b5cd445ab6e4e8

Observation 7db8f526-a96f-4b37-a133-b83c31aa3dbc · outbound

This paper cites Algebraic groups and compact generation of their derived categories of representations.

Compact approximation and descent for algebraic stacks Algebraic groups and compact generation of their derived categories of representations

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:21:51.041698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T05:21:50.716434Z digest=sha256:e90bcac687bc21ffc691b519f075c0826bd45d00dec71316a90a805bce96f751

Observation d7e7a076-3101-4589-a34b-e4ddb5bef0d2 · outbound

This paper cites ´Etale d´ evissage, descent and pushouts of stacks.

Compact approximation and descent for algebraic stacks ´Etale d´ evissage, descent and pushouts of stacks

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:21:51.014559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T05:21:50.720390Z digest=sha256:b74c30396d6c223a21cb68ac1759136f5a1eaf375ca9b5b49f8fb546c03948d1

Observation f1d5e729-f46c-4e5a-97e7-e139138aac88 · outbound

This paper cites Closedness of the singular locus and generation for derived categories.

Compact approximation and descent for algebraic stacks Closedness of the singular locus and generation for derived categories

Reference 1996

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:21:50.924950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T05:21:50.690336Z digest=sha256:2f9b4043b514c337cf5b92626deed4bc22da3665a297e4028703c2da0baf717c

Observation 04fecac2-fb4d-4d1a-9917-9db015df1108 · outbound

This paper cites Equivalences of derived categories of sheaves on tame stacks.

Compact approximation and descent for algebraic stacks Equivalences of derived categories of sheaves on tame stacks

Reference 2004

Resolution
unresolved
no resolver link, observed 2026-08-16T05:21:50.728341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:21:50.728341Z digest=sha256:33594ed1e494655f9e88e481e85d846c990ad519cd0fca7ea733f5563e015355

Observation ea116475-565e-4f09-9eb8-b03305965b2e · outbound

This paper cites Approximation by perfect complexes detects Rouquier dimension.

Compact approximation and descent for algebraic stacks Approximation by perfect complexes detects Rouquier dimension

Reference 2007

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:21:50.796070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T05:21:50.724433Z digest=sha256:2178b0d4aad0e6f9965947e79122ab377c798594f73b62929a7be1b76375e00c

Observation 5ac8ad88-d336-4147-9dfe-071eee96e4f0 · outbound

This paper cites Ballard, Srikanth B.

Compact approximation and descent for algebraic stacks Ballard, Srikanth B

Reference 2012

Resolution
unresolved
no resolver link, observed 2026-08-16T05:21:50.684040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:21:50.684040Z digest=sha256:ea52e725a8b0ed1adf27c397dbe3efcffbdbabc80b1022afcc97c510c8f7dc23

Observation aba7dee8-205f-4e1a-b234-7ddcaac8b155 · outbound

This paper cites Absolute noetherian approximation of algebraic stacks.

Compact approximation and descent for algebraic stacks Absolute noetherian approximation of algebraic stacks

Reference 2015

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:21:50.769356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T05:21:50.732196Z digest=sha256:d75ff68ffdfbd4a60708bdb568df068988963eb326e5c23b31727b138c31a708

Observation 6a93076c-0588-4c63-833e-1bf12bd60fa6 · outbound

This paper cites Hochschild dimensions of tilting objects.

Compact approximation and descent for algebraic stacks Hochschild dimensions of tilting objects

Reference 2016

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:21:51.064771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T05:21:50.680838Z digest=sha256:e75bb194b96045909f1376292a3cb2fbf008ac702ee814adf867db109af3a158

Observation 600486e0-f7a6-4241-932b-1dc17b09522b · outbound

This paper cites Further remarks on derived categories of algebraic stacks.

Compact approximation and descent for algebraic stacks Further remarks on derived categories of algebraic stacks

Reference 2017

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unresolved
no resolver link, observed 2026-08-16T05:21:50.709038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:21:50.709038Z digest=sha256:25067e92707bbd9031680551a4c9ba4f8a20da0486691500f9be0a4c36745231

Observation 608e300c-4fa6-4058-97a9-0a080c1e88ff · outbound

This paper cites A generalized Bondal-Orlov full faithfulness criterion for Deligne-Mumford stacks.

Compact approximation and descent for algebraic stacks A generalized Bondal-Orlov full faithfulness criterion for Deligne-Mumford stacks

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-16T05:21:50.712508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:21:50.712508Z digest=sha256:8cb760d1274f6964e68f1c02f9725683a35d142b2fcd3c8defe637b906bfb7d7

Observation 6a1c65e8-246c-41f7-a35d-a9c9ac8af3c6 · outbound

This paper cites Coherently complete algebraic stacks in positive characteristic.

Compact approximation and descent for algebraic stacks Coherently complete algebraic stacks in positive characteristic

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:21:50.998752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T05:21:50.676985Z digest=sha256:6e39c205b624a78b1859b6f2c6fc05be20b33ca8126aeb1220cccffd7fe9d213

Observation 71e32f19-6946-4eee-adba-31d3d86b3d86 · outbound

This paper cites Strong generation for module categories.

Compact approximation and descent for algebraic stacks Strong generation for module categories

Reference 2025

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:21:50.833662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T05:21:50.705317Z digest=sha256:9ad86e7a20c7ae4e8e066f9f2d91bad704ad31621b370fa50dcfbbb68ef166a7

Pith citing papers

Observation f0e0b51e-cc6a-4bc4-bc67-96a4dea169ee · inbound

Frobenius generation for algebraic stacks cites this paper.

Frobenius generation for algebraic stacks Compact approximation and descent for algebraic stacks

Reference 15

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unresolved
no resolver link, observed 2026-08-04T06:44:32.447061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T06:44:32.447061Z digest=sha256:c35ea8f9f2f18d66e03c5f06a08b352e5e41cf8028332832eff1a678ed6f31a0

Observation d9dbdfa7-740f-4d18-88a8-3429db40cd9c · inbound

Perfect generation for regular algebraic stacks cites this paper.

Perfect generation for regular algebraic stacks Compact approximation and descent for algebraic stacks

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T12:23:46.808537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T12:23:46.808537Z digest=sha256:892e595253cba03b6d50ccf6461b2430293fe8d8bd35b8cc16eb464e49d9b72c

Observation 3555324e-4ac6-4399-b80f-34e45c8fc85a · inbound

Dualizing complexes and $t$-structures for algebraic spaces cites this paper.

Dualizing complexes and $t$-structures for algebraic spaces Compact approximation and descent for algebraic stacks

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-02T21:20:56.005360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T21:20:56.005360Z digest=sha256:1ff70fd751c6d23d51d2ec69e90e9e464583b614b36d2a988514dad36d377ded

Observation 6cf3918a-0428-4520-9ba5-d46616978d14 · inbound

Remarks on diagonal dimension for algebraic stacks cites this paper.

Remarks on diagonal dimension for algebraic stacks Compact approximation and descent for algebraic stacks

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-14T18:19:23.773432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-14T18:12:53.906827Z digest=sha256:75dc358b5027c4055489c2f63bf2d54a1a5c2529529e25ca6e8f035d889d3fec

Observation 9931d54e-305b-4787-97c7-c9a4762e2fe0 · inbound

Remarks on diagonal dimension for algebraic stacks cites this paper.

Remarks on diagonal dimension for algebraic stacks Compact approximation and descent for algebraic stacks

Reference 2024

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no resolver link, observed 2026-08-02T14:21:37.458844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T14:21:37.458844Z digest=sha256:ceabe99a32aae49944fab11b3e95d9c8c7fa9a2ef603b3edae0a5061224b6cd8

Observation 208fad36-d5d9-4bd0-8a07-e1a6a9ab8979 · inbound

Fppf descent and localizing subcategories for algebraic spaces cites this paper.

Fppf descent and localizing subcategories for algebraic spaces Compact approximation and descent for algebraic stacks

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-02T01:06:23.777109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-06-28T12:55:41.222046Z digest=sha256:1c17f816447ed1f59e12b408cbd427c51402bff337ae635b21d905525e015c96