Paper Citation Record · LEDGER

Locally finitely presented and coherent hearts

As of 19 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:1908.00649.

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

pith.paper-citation-record.v1
1908.00649 v3

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:49:15.808874Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

52 of 52 outbound references displayed

verified exact4
verified fuzzy42
unresolved5
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a60b9cd8-fe2a-4bb7-8849-894266b0e167 · outbound

This paper cites : Localizations in categories complexes and unbounded reso lu- tions.

Locally finitely presented and coherent hearts : Localizations in categories complexes and unbounded reso lu- tions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.902602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e206bd2d-dbc0-48ab-8c2c-723801d9484c · outbound

This paper cites : On the abundance of silting modules.

Locally finitely presented and coherent hearts : On the abundance of silting modules

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.886536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9da90716-a931-4b6c-afc8-c8e260b28438 · outbound

This paper cites : Elements of the Representation Theory of Associative Alge - bras, vol.

Locally finitely presented and coherent hearts : Elements of the Representation Theory of Associative Alge - bras, vol

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.867971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6d106a6a-6191-4733-ba3a-cc42e9c7869c · outbound

This paper cites In ’Representations of Algebras’, Proc.

Locally finitely presented and coherent hearts In ’Representations of Algebras’, Proc

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.848206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0f92543d-6556-4dbc-b8f5-3e60ba5075ad · outbound

This paper cites : When are deﬁnable classes tilting and cotilting classes.

Locally finitely presented and coherent hearts : When are deﬁnable classes tilting and cotilting classes

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.828949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d436f6cd-8cc7-4202-a271-e7587d8cdadd · outbound

This paper cites : Faisceaux pervers.

Locally finitely presented and coherent hearts : Faisceaux pervers

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.808195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c29346fb-3772-4f5c-af28-cf494e88cb1c · outbound

This paper cites On torsion pairs, (well generated) weight structures, adjacent $t$-structures, and related (co)homological functors.

Locally finitely presented and coherent hearts On torsion pairs, (well generated) weight structures, adjacent $t$-structures, and related (co)homological functors

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T15:49:15.516009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0751ceb2-051d-4720-bf4f-902ce52ba620 · outbound

This paper cites an unresolved cited work.

Locally finitely presented and coherent hearts Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-08-14T15:49:15.905499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 68a7d80a-04ba-491e-9ad4-da3e0ea1428f · outbound

This paper cites an unresolved cited work.

Locally finitely presented and coherent hearts Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:49:16.787194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 95387a0c-7a7f-43b3-96c2-19d03b435c30 · outbound

This paper cites Locally type $\text{FP}_n$ and $n$-coherent categories.

Locally finitely presented and coherent hearts Locally type $\text{FP}_n$ and $n$-coherent categories

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:49:15.971317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f5a362b6-1c83-4cb8-a72c-ee4614aae4c1 · outbound

This paper cites : Cosilting modules.

Locally finitely presented and coherent hearts : Cosilting modules

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.764325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 033c55c6-e8a9-463e-9637-7f2407b2a635 · outbound

This paper cites : Torsion classes generated by silting modules.

Locally finitely presented and coherent hearts : Torsion classes generated by silting modules

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.737506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a059fb5a-26e7-46dc-9ca6-3971715ed80f · outbound

This paper cites : Direct products of modules.

Locally finitely presented and coherent hearts : Direct products of modules

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.719901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4c61d965-252f-4109-b4d9-32171b134f97 · outbound

This paper cites : A generalization of the ring of triangular matrices.

Locally finitely presented and coherent hearts : A generalization of the ring of triangular matrices

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.701313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bd8ed178-96e0-469f-b66d-2ef772baf104 · outbound

This paper cites : Tilting in Grothendieck categories.

Locally finitely presented and coherent hearts : Tilting in Grothendieck categories

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.674451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 14aa292b-ca5a-47a1-8007-b3ff2e121f78 · outbound

This paper cites : The heart of a cotilting torsion pair is a Grothendieck cate gory.

Locally finitely presented and coherent hearts : The heart of a cotilting torsion pair is a Grothendieck cate gory

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.652758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3f463258-60a0-4207-8cb7-9f4a8fa45a3d · outbound

This paper cites : On the heart of a faithful torsion theory.

Locally finitely presented and coherent hearts : On the heart of a faithful torsion theory

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.632966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation abc1f976-ce9b-4375-80a5-e0840c4e43e1 · outbound

This paper cites : Cotilting sheaves on noetherian schemes.

Locally finitely presented and coherent hearts : Cotilting sheaves on noetherian schemes

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.612771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4377abf1-de3e-4a95-b820-5a24442aa120 · outbound

This paper cites an unresolved cited work.

Locally finitely presented and coherent hearts Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:49:16.592414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f806b5f1-ef56-40a4-b8a3-c72d8be95b6b · outbound

This paper cites : Notes on absolutely clean quasi-coherent sheaves, privat e communication (2020).

Locally finitely presented and coherent hearts : Notes on absolutely clean quasi-coherent sheaves, privat e communication (2020)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.568887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ce5046fd-f800-4e05-b5b7-270905911ac3 · outbound

This paper cites : Classifying ﬁnite localizations of quasicoherent sheave s.

Locally finitely presented and coherent hearts : Classifying ﬁnite localizations of quasicoherent sheave s

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.548251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 88cc289d-f965-41af-914a-c73353f3864b · outbound

This paper cites : Sur quelques points d’Alg` ebre Homologique.

Locally finitely presented and coherent hearts : Sur quelques points d’Alg` ebre Homologique

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.531088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 486adde7-87c0-4895-8465-e8bb14a38d3d · outbound

This paper cites : Tilting in Abelian categories and quasitilted algebras.

Locally finitely presented and coherent hearts : Tilting in Abelian categories and quasitilted algebras

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.514450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 39016786-662e-4fea-8a75-932b091be803 · outbound

This paper cites an unresolved cited work.

Locally finitely presented and coherent hearts Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:49:16.498463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7ad88dc9-d8f2-4c59-91ae-75506bb2b57e · outbound

This paper cites : Model theoretic algebra with particular emphasis on ﬁelds , rings, modules.

Locally finitely presented and coherent hearts : Model theoretic algebra with particular emphasis on ﬁelds , rings, modules

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.481124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7224704f-e33f-4a42-bbd8-a03525356cb2 · outbound

This paper cites Inventiones math- ematicae, 139(1), (2000) 99–133.

Locally finitely presented and coherent hearts Inventiones math- ematicae, 139(1), (2000) 99–133

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.461882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b0c56c4b-a6d5-4439-a14c-6b2010753d66 · outbound

This paper cites : Krull–Schmidt categories and projective covers.

Locally finitely presented and coherent hearts : Krull–Schmidt categories and projective covers

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.441271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a40dc8fd-b343-4860-a60c-59a3b3bd10ad · outbound

This paper cites : Purity in compactly generated derivators and t-structures with Grothendieck hearts.

Locally finitely presented and coherent hearts : Purity in compactly generated derivators and t-structures with Grothendieck hearts

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.424420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6294e4eb-fdac-40d0-b033-54e34083046e · outbound

This paper cites : Deﬁnability and approximations in triangulated categori es.

Locally finitely presented and coherent hearts : Deﬁnability and approximations in triangulated categori es

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.403917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4b078f96-52de-434e-bba8-95e2a3192d7e · outbound

This paper cites : Autour de la platitude.

Locally finitely presented and coherent hearts : Autour de la platitude

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.386845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b6688713-0367-4a9b-91ae-cabc54c4752a · outbound

This paper cites : Hereditary Abelian categories.

Locally finitely presented and coherent hearts : Hereditary Abelian categories

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.371751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3663e916-ca44-425c-b359-2baf78898ddf · outbound

This paper cites : Higher Algebra.

Locally finitely presented and coherent hearts : Higher Algebra

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.350607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8364ddeb-e4c8-4ef4-91bf-01abaf0deae5 · outbound

This paper cites : Homology.

Locally finitely presented and coherent hearts : Homology

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.333032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 82d8f0ec-dc9a-4077-b52a-e7523ad63c6e · outbound

This paper cites : Triangulated categories.

Locally finitely presented and coherent hearts : Triangulated categories

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.317524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 90494312-862b-4aee-a788-669b64fb7e2e · outbound

This paper cites : Silting theory in triangulated categories with coproduct s.

Locally finitely presented and coherent hearts : Silting theory in triangulated categories with coproduct s

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.301817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 39121aec-ed93-432d-ae30-a9ab037ac6d8 · outbound

This paper cites : Direct limits in the heart of a t-structure: the case of a torsion pair.

Locally finitely presented and coherent hearts : Direct limits in the heart of a t-structure: the case of a torsion pair

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.281864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1d040914-d6d8-4d57-a768-73287bd74bc9 · outbound

This paper cites Direct limits in the heart of a t-structure: the case of a torsion pair.

Locally finitely presented and coherent hearts Direct limits in the heart of a t-structure: the case of a torsion pair

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.264587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 661d6a7c-273b-4768-b701-36d34e96489f · outbound

This paper cites : Hearts of t-structures in the derived category of a commutative Noethe rian ring.

Locally finitely presented and coherent hearts : Hearts of t-structures in the derived category of a commutative Noethe rian ring

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.245383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 22d7bd33-d90c-4dd6-af15-9dfd5b45fa64 · outbound

This paper cites : The HRS tilting process and Grothendieck hearts of t-struc tures.

Locally finitely presented and coherent hearts : The HRS tilting process and Grothendieck hearts of t-struc tures

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.228354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a8144e46-ae73-4868-856b-57fed6c115a3 · outbound

This paper cites : Tilting preenvelopes and cotilting precovers in general A belian categories, preprint, 2021.

Locally finitely presented and coherent hearts : Tilting preenvelopes and cotilting precovers in general A belian categories, preprint, 2021

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.209660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dc77259d-a3a8-4991-b43e-8599e95a6b24 · outbound

This paper cites : Torsion pairs in Categories of Modules over a Preadditive c ategory.

Locally finitely presented and coherent hearts : Torsion pairs in Categories of Modules over a Preadditive c ategory

Reference 41

Resolution: malformed identifier; no resolver link, observed 2026-08-14T15:49:15.736992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06a8ff53-c255-4988-99a8-2f38d62384fe · outbound

This paper cites : Constant families of t-structures on derived categories of coherent sheaves.

Locally finitely presented and coherent hearts : Constant families of t-structures on derived categories of coherent sheaves

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.187156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 925a741a-993b-42a6-99f1-b9cb119281a4 · outbound

This paper cites an unresolved cited work.

Locally finitely presented and coherent hearts Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:49:16.169156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 173a5556-4b0b-446c-978a-e5bf0e957f53 · outbound

This paper cites : Purity, spectra and localisation.

Locally finitely presented and coherent hearts : Purity, spectra and localisation

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.151395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c5fd1226-8e50-451b-a516-7f8b52c197b0 · outbound

This paper cites : Realisation functors in tilting theory.

Locally finitely presented and coherent hearts : Realisation functors in tilting theory

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.131299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c2638bcf-1dbc-4bb0-ad7a-db8b2b96d756 · outbound

This paper cites : Tame algebras and integral quadratic forms.

Locally finitely presented and coherent hearts : Tame algebras and integral quadratic forms

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.108514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b42436eb-80cf-4668-9c2a-8e91d7c79aab · outbound

This paper cites : An introduction to Homological Algebra, 1st edition.

Locally finitely presented and coherent hearts : An introduction to Homological Algebra, 1st edition

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.088531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 66aeca07-2eb4-4da9-b85f-c043ee9cfd26 · outbound

This paper cites : Locally coherent hearts.

Locally finitely presented and coherent hearts : Locally coherent hearts

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.064670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 80746d8b-008b-4ba1-b244-e9384539abe5 · outbound

This paper cites $t$-Structures on stable derivators and Grothendieck hearts.

Locally finitely presented and coherent hearts $t$-Structures on stable derivators and Grothendieck hearts

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:49:15.935453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5b96df80-744f-4f79-ac83-f85ef6a80664 · outbound

This paper cites : Rings of quotients.

Locally finitely presented and coherent hearts : Rings of quotients

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.039458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5ff1ff63-593c-4ba0-a3af-bb0cb17408ad · outbound

This paper cites : K-Theory of coherent rings.

Locally finitely presented and coherent hearts : K-Theory of coherent rings

Reference 52

Resolution: verified exact; doi, observed 2026-08-14T15:49:15.868371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ab4e1dfd-218d-4634-b017-1ede9b980a67 · outbound

This paper cites : Cosilting complexes and AIR-cotilting modules.

Locally finitely presented and coherent hearts : Cosilting complexes and AIR-cotilting modules

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:49:16.010086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.