Paper Citation Record · LEDGER

The Boolean spectrum of a Grothendieck category

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2411.16309.

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

pith.paper-citation-record.v1
2411.16309 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:32:53.734897Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

40 of 40 outbound references displayed

verified exact0
verified fuzzy28
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 66636487-070d-4f5b-9b70-ffc1e5737db2 · outbound

This paper cites Balmer, The spectrum of prime ideals in tensor triangulated categor ies, J.

The Boolean spectrum of a Grothendieck category Balmer, The spectrum of prime ideals in tensor triangulated categor ies, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:54.079557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 93771135-2b52-43f5-a357-0c76bd7a9826 · outbound

This paper cites Borceux and G.

The Boolean spectrum of a Grothendieck category Borceux and G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:54.071767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bb68b5fc-c6c1-4601-9095-e3b4f732b167 · outbound

This paper cites Brandenburg, Rosenberg’s reconstruction theorem, E xpo.

The Boolean spectrum of a Grothendieck category Brandenburg, Rosenberg’s reconstruction theorem, E xpo

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:54.063949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ec3312dd-1a7e-48c9-ab6a-d8f3e8677a33 · outbound

This paper cites Brenner, Decomposition properties of some small diag rams of modules, in Symposia Math- ematica, Vol.

The Boolean spectrum of a Grothendieck category Brenner, Decomposition properties of some small diag rams of modules, in Symposia Math- ematica, Vol

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:54.055748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 956ee76e-5cfe-41a3-99f7-2115cb00256a · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:54.047834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 20bc3671-0a4e-49ba-bb8d-c1101bb20757 · outbound

This paper cites Crawley-Boevey, Locally ﬁnitely presented additive categories, Comm.

The Boolean spectrum of a Grothendieck category Crawley-Boevey, Locally ﬁnitely presented additive categories, Comm

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:54.039891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1bc3b2a2-b50c-454e-8f9c-0aeb06d872f4 · outbound

This paper cites Crawley-Boevey, Inﬁnite-dimensional modules in the representation theory of ﬁnite- dimensional algebras, in Algebras and modules, I (Trondheim, 1996) , 29–54, CMS Conf.

The Boolean spectrum of a Grothendieck category Crawley-Boevey, Inﬁnite-dimensional modules in the representation theory of ﬁnite- dimensional algebras, in Algebras and modules, I (Trondheim, 1996) , 29–54, CMS Conf

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:54.031890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 497bfde5-4c66-46b2-b3e3-27890982bd93 · outbound

This paper cites Dauns, Module types, Rocky Mountain J.

The Boolean spectrum of a Grothendieck category Dauns, Module types, Rocky Mountain J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:54.023129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 03261a74-e0e4-4ee6-be62-16183e377391 · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:54.015148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0cc670b8-57bc-4c41-9627-4ca3932fc249 · outbound

This paper cites Facchini, Spectral categories and varieties of prea dditive categories, J.

The Boolean spectrum of a Grothendieck category Facchini, Spectral categories and varieties of prea dditive categories, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:54.007210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f5153ce3-8040-4534-9038-078ff586128b · outbound

This paper cites Facchini, Decompositions of algebraically compact modules, Paciﬁc J.

The Boolean spectrum of a Grothendieck category Facchini, Decompositions of algebraically compact modules, Paciﬁc J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.999003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3714cfad-7dab-481e-a2a7-a2b1e2a5372e · outbound

This paper cites Gabriel, Des cat´ egories ab´ eliennes, Bull.

The Boolean spectrum of a Grothendieck category Gabriel, Des cat´ egories ab´ eliennes, Bull

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.990869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ac2848c8-f335-437a-accd-0e02d66d4995 · outbound

This paper cites Gabriel and U.

The Boolean spectrum of a Grothendieck category Gabriel and U

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.982845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 299b865b-80ee-417e-8ba3-2a1c852136c2 · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:53.974445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5170b3e2-426b-4815-ae17-3dd6ec92aa9d · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:53.966507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 335d97d8-6b93-4f6f-8613-b46cc699a67f · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:53.958603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 874852a4-0233-4beb-a2df-a0a122bacf8e · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:53.950478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 67b64a33-a4b0-4cfe-b198-d808a681ab19 · outbound

This paper cites Gruson and C.

The Boolean spectrum of a Grothendieck category Gruson and C

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.942386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3768277d-d102-4b26-878a-ea156dc7a896 · outbound

This paper cites Herzog, The Ziegler spectrum of a locally coherent Gr othendieck category, Proc.

The Boolean spectrum of a Grothendieck category Herzog, The Ziegler spectrum of a locally coherent Gr othendieck category, Proc

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.934594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bf0cdcac-dc7d-47ed-9d92-8c25e0f5c546 · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:53.926613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 41809cbd-33c7-4aae-8a6f-311a7fd6d266 · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:53.918641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 18d83eac-3f1a-425e-8fb6-cf56bb94bf3c · outbound

This paper cites Kanda, Classiﬁcation of categorical subspaces of lo cally Noetherian schemes, Doc.

The Boolean spectrum of a Grothendieck category Kanda, Classiﬁcation of categorical subspaces of lo cally Noetherian schemes, Doc

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.910713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a34b7bed-db76-4da8-ae88-e0a651d3078c · outbound

This paper cites Kaplansky, Projections in Banach algebras, Ann.

The Boolean spectrum of a Grothendieck category Kaplansky, Projections in Banach algebras, Ann

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.902627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f46e8db3-361c-4232-8e92-476f6f2493b5 · outbound

This paper cites Krause, The spectrum of a locally coherent category, J.

The Boolean spectrum of a Grothendieck category Krause, The spectrum of a locally coherent category, J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.894737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 47e44b1e-3179-4ab3-92ed-8a389b158e12 · outbound

This paper cites Krause, Exactly deﬁnable categories, J.

The Boolean spectrum of a Grothendieck category Krause, Exactly deﬁnable categories, J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.886471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e5198b82-f506-4855-8747-a5a987151f56 · outbound

This paper cites Krause, The stable derived category of a Noetherian s cheme, Compos.

The Boolean spectrum of a Grothendieck category Krause, The stable derived category of a Noetherian s cheme, Compos

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.878473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d2610686-7dbe-4d52-920e-454f762f7c84 · outbound

This paper cites Krause, Homological theory of representations , Cambridge Studies in Advanced Mathe- matics, Cambridge University Press, 195, Cambridge, 2022.

The Boolean spectrum of a Grothendieck category Krause, Homological theory of representations , Cambridge Studies in Advanced Mathe- matics, Cambridge University Press, 195, Cambridge, 2022

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.870092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 190b8aad-fcec-4b86-b131-b80413ad9b2c · outbound

This paper cites Matsui and R.

The Boolean spectrum of a Grothendieck category Matsui and R

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.861644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aa74a0b7-631e-405c-a831-cb0f2b807895 · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:53.853617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7a270dbd-2530-491f-a11c-bbd554f4c375 · outbound

This paper cites Neeman, The chromatic tower for D(R), Topology 31 (1992), no.

The Boolean spectrum of a Grothendieck category Neeman, The chromatic tower for D(R), Topology 31 (1992), no

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.845665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7f17f478-1fef-4149-b3d1-e63fca3d571e · outbound

This paper cites Prest, Model theory and modules , London Mathematical Society Lecture Note Series, 130, Cambridge Univ.

The Boolean spectrum of a Grothendieck category Prest, Model theory and modules , London Mathematical Society Lecture Note Series, 130, Cambridge Univ

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.837462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 49be17c6-43ca-498b-807f-3651fff547ea · outbound

This paper cites Prest, Purity, spectra and localisation, Encyclopedia of Mathematics and its Applications, 121, Cambridge Univ.

The Boolean spectrum of a Grothendieck category Prest, Purity, spectra and localisation, Encyclopedia of Mathematics and its Applications, 121, Cambridge Univ

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.829303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9818270d-f7c1-440a-8a20-0e34d19e4df2 · outbound

This paper cites Roos, Locally distributive spectral categories and strongly regular rings, in Reports of the Midwest Category Seminar , 156–181, Lecture Notes in Math., No.

The Boolean spectrum of a Grothendieck category Roos, Locally distributive spectral categories and strongly regular rings, in Reports of the Midwest Category Seminar , 156–181, Lecture Notes in Math., No

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.820328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ad4cbcf9-3699-45e6-81b2-c8102008bc8e · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:53.811083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1f9e25e6-c4fa-432b-9266-0bc6d89ffc1a · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:53.802169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e79596ce-0e17-4b0f-a485-fd17c18400f6 · outbound

This paper cites an unresolved cited work.

The Boolean spectrum of a Grothendieck category Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:32:53.792663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c337a072-f7c7-477d-85d6-e0463b816f8e · outbound

This paper cites Stevenson, Localizing subcategories of Grothendie ck categories, Preprint, 2024.

The Boolean spectrum of a Grothendieck category Stevenson, Localizing subcategories of Grothendie ck categories, Preprint, 2024

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.784021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 698dfb3b-b8de-4393-88a8-40caebfc018a · outbound

This paper cites Takahashi, On localizing subcategories of derived c ategories, J.

The Boolean spectrum of a Grothendieck category Takahashi, On localizing subcategories of derived c ategories, J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.775401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7bd17eab-be9b-4ee7-ab63-bbd728c5e135 · outbound

This paper cites W u and X.

The Boolean spectrum of a Grothendieck category W u and X

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.766950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d767b580-1926-461b-b688-52484af1a840 · outbound

This paper cites Ziegler, Model theory of modules, Ann.

The Boolean spectrum of a Grothendieck category Ziegler, Model theory of modules, Ann

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:32:53.758291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.