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Paper Citation Record · LEDGER

The Jordan-H\"older property and Grothendieck monoids of exact categories

As of 17 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.05446.

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

pith.paper-citation-record.v1
1908.05446 v3

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:21:02.470679Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

37 of 37 outbound references displayed

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  • verified fuzzy32
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d182d9f5-6547-466a-8666-6833b99ce6af · outbound

This paper cites Adachi, O.

The Jordan-H\"older property and Grothendieck monoids of exact categories Adachi, O

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 3c433d8a-3cb0-43fa-a607-3999c74d217a · outbound

This paper cites Amiot, O.

The Jordan-H\"older property and Grothendieck monoids of exact categories Amiot, O

Reference 2

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fe36befc-42a2-4f9c-8d69-fefa19c16673 · outbound

This paper cites Assem, D.

The Jordan-H\"older property and Grothendieck monoids of exact categories Assem, D

Reference 3

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.237751Z digest=sha256:0de6c03583d694c93b1cbcbc10a18723107586aa1f553ec4a791549288c79c45

Observation d24dbe1e-441a-4a85-ad1b-bde6524ecd38 · outbound

This paper cites Auslander, I.

The Jordan-H\"older property and Grothendieck monoids of exact categories Auslander, I

Reference 4

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.243612Z digest=sha256:c9b117a3620943f4a1d21e263f7799abc9c603679d6af0b83839af29ac49a12f

Observation cd3defa2-bbc5-45f6-88d4-77f3233d821e · outbound

This paper cites Auslander, I.

The Jordan-H\"older property and Grothendieck monoids of exact categories Auslander, I

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:21:02.248205Z digest=sha256:7b99bf21a7f80fb0c85733f68d6bc9d39fa68a883fc12480aaca7614ce5ecd3b

Observation a140dd42-61fa-4245-b6d0-40655685df87 · outbound

This paper cites Baeth, A.

The Jordan-H\"older property and Grothendieck monoids of exact categories Baeth, A

Reference 6

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raw_fallback, observed 2026-08-14T13:21:03.179422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.257649Z digest=sha256:eb1f990ae95c40ab5407c171a4876f352503a32d76d677a2a07c6bc2a9218c72

Observation cee92604-a82a-4c16-bfd4-9732a6cf9d58 · outbound

This paper cites Berenstein, J.

The Jordan-H\"older property and Grothendieck monoids of exact categories Berenstein, J

Reference 7

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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-14T13:21:02.262599Z digest=sha256:16eaff1ed2bf75233e84eb8e4956b0d7768f30bee02e415103850baa1b07a497

Observation 12061df1-5c61-4cc5-b9be-f6ac375408c2 · outbound

This paper cites Bj\"orner, F.

The Jordan-H\"older property and Grothendieck monoids of exact categories Bj\"orner, F

Reference 8

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raw_fallback, observed 2026-08-14T13:21:03.148111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.268176Z digest=sha256:e84ce299660967ddfe54e25858e6403d2374233bb0ce580b8b36e5ef39a1e21b

Observation 0fb4f5a4-07ad-477a-a8ab-3bf6beae0b02 · outbound

This paper cites Brookfield, Direct sum cancellation of Noetherian modules, J.

The Jordan-H\"older property and Grothendieck monoids of exact categories Brookfield, Direct sum cancellation of Noetherian modules, J

Reference 9

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raw_fallback, observed 2026-08-14T13:21:03.120350Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.273981Z digest=sha256:1a8f483f0e31f802d0f9830d9538494abd5cfe81143f17de3f27f83237d46c2a

Observation d7fb2921-0a1d-4cd0-b6e7-16f0965516c0 · outbound

This paper cites Brookfield, The Grothendieck group and the extensional structure of Noetherian module categories, Algebra and its applications (Athens, OH, 1999), 111--131, Contemp.

The Jordan-H\"older property and Grothendieck monoids of exact categories Brookfield, The Grothendieck group and the extensional structure of Noetherian module categories, Algebra and its applications (Athens, OH, 1999), 111--131, Contemp

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.279430Z digest=sha256:547ef5ecb1e2142d3fb965533d5ac65246ec14992e751ea3d593e5aee75018c1

Observation bcef2618-0ac8-472f-94f0-07308a1c96e1 · outbound

This paper cites Brookfield, The extensional structure of commutative Noetherian rings, Comm.

The Jordan-H\"older property and Grothendieck monoids of exact categories Brookfield, The extensional structure of commutative Noetherian rings, Comm

Reference 11

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.283337Z digest=sha256:09a7500652fd504407f493bc7dbc8ab4805dc970dc6b1c2916f2bd0eee9467d7

Observation 6fd00f12-48a0-493b-b650-9b6b70300e3d · outbound

This paper cites Bruns, J.

The Jordan-H\"older property and Grothendieck monoids of exact categories Bruns, J

Reference 12

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source=arxiv_source observed=2026-08-14T13:21:02.288617Z digest=sha256:cc5620da42cf3915ab1d65a7a42876a78a7a1a264ad555b6ffa1bb4f995c7691

Observation 2b42b33f-d9ec-4547-b256-3686d2887453 · outbound

This paper cites Pure Appl.

The Jordan-H\"older property and Grothendieck monoids of exact categories Pure Appl

Reference 13

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.292550Z digest=sha256:3629aabd00ae1001593c17172e8b59c82b30e176446a59490a61cc89161fc52d

Observation cf436252-8adf-459e-8d2d-67c7f3500017 · outbound

This paper cites B\"uhler, Exact categories, Expo.

The Jordan-H\"older property and Grothendieck monoids of exact categories B\"uhler, Exact categories, Expo

Reference 14

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.299440Z digest=sha256:7ac599b20970da37e30b54d8eff139f31b06bae5b61640451529b7988aab7917

Observation 169c3633-b7cc-4cfe-bb8a-34ac6330a780 · outbound

This paper cites Enomoto, Classifying exact categories via Wakamatsu tilting, J.

The Jordan-H\"older property and Grothendieck monoids of exact categories Enomoto, Classifying exact categories via Wakamatsu tilting, J

Reference 15

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.304229Z digest=sha256:1a65d8f118b0fcbcbc582717aa4ac5cdf6757eb35d1d680a64747e09b69422e2

Observation 8fca6b0f-a56a-481d-b41a-f69ecd1ede57 · outbound

This paper cites Enomoto, Classifications of exact structures and Cohen-Macaulay-finite algebras, Adv.

The Jordan-H\"older property and Grothendieck monoids of exact categories Enomoto, Classifications of exact structures and Cohen-Macaulay-finite algebras, Adv

Reference 16

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.316655Z digest=sha256:f59afa41a02e201396631935466cf0ffa134542891a2e6c29a4cf41cff97c54f

Observation 4fd56751-2899-4d0c-86f2-2b31bf1b86ca · outbound

This paper cites Enomoto, Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras, in preparation.

The Jordan-H\"older property and Grothendieck monoids of exact categories Enomoto, Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras, in preparation

Reference 17

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.322991Z digest=sha256:5e0b2d7ab674607c9f477b31251948195eb10b73402fb96f71c7c3f5ff0c0008

Observation ab77e629-3e9e-446c-910d-d28862338f74 · outbound

This paper cites Facchini, Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids, J.

The Jordan-H\"older property and Grothendieck monoids of exact categories Facchini, Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids, J

Reference 18

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.329386Z digest=sha256:f50603eb00aa12a3b084bce04e7ad9830a2fdc364adf9e7fc753c7cbd3356b47

Observation da11cca5-7821-43de-9ee3-14235b0defb3 · outbound

This paper cites Facchini, Krull monoids and their application in module theory, Algebras, rings and their representations, 53--71, World Sci.

The Jordan-H\"older property and Grothendieck monoids of exact categories Facchini, Krull monoids and their application in module theory, Algebras, rings and their representations, 53--71, World Sci

Reference 19

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.336825Z digest=sha256:3f6ead1e1aaa2520d9ce4272639db0644795e933ca4faba05ccbbfc490e9e226

Observation 8486549d-66e0-46a3-af8a-a2730f87a5a2 · outbound

This paper cites Geroldinger, F.

The Jordan-H\"older property and Grothendieck monoids of exact categories Geroldinger, F

Reference 20

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source=arxiv_source observed=2026-08-14T13:21:02.348510Z digest=sha256:5c562908f15e1843adc165be64c6cb236c85b800a96b421315828032ac1fc9b1

Observation 11f0bec5-69d3-4ed6-9af4-3bf9999434c1 · outbound

This paper cites an unresolved cited work.

The Jordan-H\"older property and Grothendieck monoids of exact categories Unresolved cited work

Reference 21

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source=arxiv_source observed=2026-08-14T13:21:02.359167Z digest=sha256:65c3bf150f1f1efbe2cd729a82c6576547e48d45a115faccce465fbf13a7b53e

Observation 2f706070-c86f-4aa5-ac8c-e056aa84682b · outbound

This paper cites an unresolved cited work.

The Jordan-H\"older property and Grothendieck monoids of exact categories Unresolved cited work

Reference 22

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source=arxiv_source observed=2026-08-14T13:21:02.363965Z digest=sha256:b553a365ae509947c5773b3f6a29c5bf3b1cc1469c363d5d61c3deae58d88146

Observation 1040e1d8-c9e9-46aa-b879-a7dcb2dc6011 · outbound

This paper cites Happel, Triangulated categories in the representation theory of finite-dimensional algebras, London Mathematical Society Lecture Note Series, 119.

The Jordan-H\"older property and Grothendieck monoids of exact categories Happel, Triangulated categories in the representation theory of finite-dimensional algebras, London Mathematical Society Lecture Note Series, 119

Reference 23

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source=arxiv_source observed=2026-08-14T13:21:02.369883Z digest=sha256:7524f66a74150c0dad14695cd48749b07c58c6bc655331c220fe6a53d2b08a73

Observation 4ec641d0-bbb0-407a-a431-2c8fb5b2a467 · outbound

This paper cites Admissible intersection and sum property.

The Jordan-H\"older property and Grothendieck monoids of exact categories Admissible intersection and sum property

Reference 24

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no resolver link, observed 2026-08-14T13:21:02.378138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:21:02.378138Z digest=sha256:c08c8017dd67b23cebf77e51eeba4a1c14519c1bd780e030f10fbf248fe06f38

Observation ddfd82c5-eaac-41c2-83b8-cde0b1391501 · outbound

This paper cites Ingalls, H.

The Jordan-H\"older property and Grothendieck monoids of exact categories Ingalls, H

Reference 25

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.385192Z digest=sha256:ed978e893f8e3d51d78bfb00d089d6ca7000f344ff529c50e76143bfe9069c15

Observation d1b6716c-fe0f-4b81-84ca-0cbb5bf886a1 · outbound

This paper cites Iyama, The relationship between homological properties and representation theoretic realization of Artin algebras, Trans.

The Jordan-H\"older property and Grothendieck monoids of exact categories Iyama, The relationship between homological properties and representation theoretic realization of Artin algebras, Trans

Reference 26

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.389809Z digest=sha256:71d9ab5c7aa6048ec6677972ccddb85b9f6894172b88fdf485afecdf38ed2ce1

Observation a5b9174e-5017-4982-b240-4bb66229b23e · outbound

This paper cites Marks, J.

The Jordan-H\"older property and Grothendieck monoids of exact categories Marks, J

Reference 27

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raw_fallback, observed 2026-08-14T13:21:02.784923Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.396517Z digest=sha256:7b711ddec66278415c0628baa162143f87b9460e2126803e64b4e56973b82416

Observation 3ef41934-075d-445a-872c-5815d6944f58 · outbound

This paper cites Platzeck, I.

The Jordan-H\"older property and Grothendieck monoids of exact categories Platzeck, I

Reference 28

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raw_fallback, observed 2026-08-14T13:21:02.747007Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.401588Z digest=sha256:03e1e1bfd63e558f0e175060079316d8fce82050eae86da1b16e863b0556a8f2

Observation 7225366c-9c9a-4cbd-b3d4-3f9e95725fa3 · outbound

This paper cites Thomas, Coxeter groups and quiver representations, In Surveys in representation theory of algebras, volume 716 of Contemp.

The Jordan-H\"older property and Grothendieck monoids of exact categories Thomas, Coxeter groups and quiver representations, In Surveys in representation theory of algebras, volume 716 of Contemp

Reference 29

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raw_fallback, observed 2026-08-14T13:21:02.726281Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.407402Z digest=sha256:9c2cc718e363d4faf1a3995a1dd5ce6207a2bb06d21004abfec28a93713390c2

Observation ee399c3c-cd1f-4514-b1ac-e07c60338c0a · outbound

This paper cites Quillen, Higher algebraic K-theory: I, Lecture Notes in Math., Vol.

The Jordan-H\"older property and Grothendieck monoids of exact categories Quillen, Higher algebraic K-theory: I, Lecture Notes in Math., Vol

Reference 30

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raw_fallback, observed 2026-08-14T13:21:02.712109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.416332Z digest=sha256:4b7eed1817fce947aa321251499150f0f81740ffe03ada8e8da4651b0f77754a

Observation 3ae3daf9-a6a9-4a94-81f6-7efbd484610c · outbound

This paper cites Ra kov, Semiabelian categories, Dokl.

The Jordan-H\"older property and Grothendieck monoids of exact categories Ra kov, Semiabelian categories, Dokl

Reference 31

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raw_fallback, observed 2026-08-14T13:21:02.691094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.422973Z digest=sha256:a5e73b46a593ab719b2be81010305505755ec2503316b0d7fe6664eaf3dacf1a

Observation 1b6caeec-b7d2-42e0-9bed-e314c5c485ca · outbound

This paper cites Reading, Clusters, Coxeter-sortable elements and noncrossing partitions, Trans.

The Jordan-H\"older property and Grothendieck monoids of exact categories Reading, Clusters, Coxeter-sortable elements and noncrossing partitions, Trans

Reference 32

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raw_fallback, observed 2026-08-14T13:21:02.668269Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.428057Z digest=sha256:fe4dce77b7615c7ff950e963299587c929e9b78eee75ba6078a7e28842d6f35c

Observation bbc551a1-6c5a-444d-a445-8550e5865489 · outbound

This paper cites Rump, -modules, tilting, and almost abelian categories, Comm.

The Jordan-H\"older property and Grothendieck monoids of exact categories Rump, -modules, tilting, and almost abelian categories, Comm

Reference 33

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raw_fallback, observed 2026-08-14T13:21:02.644288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.433846Z digest=sha256:a2b80134c234bec74f33edc3558209c2a9c4b06c929b72f663bca3ff4b03ce3f

Observation f2dd28f3-2186-452e-9b3a-821139fb4173 · outbound

This paper cites Rump, Almost abelian categories, Cahiers Topologie G\'eom.

The Jordan-H\"older property and Grothendieck monoids of exact categories Rump, Almost abelian categories, Cahiers Topologie G\'eom

Reference 34

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.447931Z digest=sha256:30163cb97fca33dc2594a77bb78dd64e4c2d879b9dcb7c1573325927c8345424

Observation 9028bbe5-f882-409e-b62a-4c4831324103 · outbound

This paper cites Rump, A counterexample to Raikov's conjecture, Bull.

The Jordan-H\"older property and Grothendieck monoids of exact categories Rump, A counterexample to Raikov's conjecture, Bull

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:02.602325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.456047Z digest=sha256:977824eaab24b1e2bb747c06d2a7e4f74b81a38dcade7bc556524ab8613079ae

Observation 8357138d-7172-46f4-a647-fcfad7991e27 · outbound

This paper cites Stenstr\"om, Rings of quotients: An introduction to methods of ring theory, Springer-Verlag, NewYork-Heidelberg, 1975.

The Jordan-H\"older property and Grothendieck monoids of exact categories Stenstr\"om, Rings of quotients: An introduction to methods of ring theory, Springer-Verlag, NewYork-Heidelberg, 1975

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:02.582258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.461740Z digest=sha256:8af262d6d2c603cdc5c6e601a50bef16d8321318638130d7c556d8f271771b84

Observation 80f06fae-5a5d-49a7-b359-678ba26a5df6 · outbound

This paper cites Yoshino, Cohen-Macaulay modules over Cohen-Macaulay rings, London Mathematical Society Lecture Note Series 146, Cambridge University Press, Cambridge, 1990.

The Jordan-H\"older property and Grothendieck monoids of exact categories Yoshino, Cohen-Macaulay modules over Cohen-Macaulay rings, London Mathematical Society Lecture Note Series 146, Cambridge University Press, Cambridge, 1990

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:02.551962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:21:02.470679Z digest=sha256:c496169a03517695138cb222964b43cedbabc97ad8e2bae27f8df75735a81cd5

Pith citing papers

No inbound Pith citation observations are available.