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Paper Citation Record · LEDGER

Tilting theory for extended module categories

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 5 inbound Pith citation observations for arXiv:2411.15473.

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

pith.paper-citation-record.v1
2411.15473 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:30:09.724237Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:59:49.316385Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T16:38:41.055575Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact3
  • verified fuzzy20
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f7e6a423-4920-468e-87cc-69758153614f · outbound

This paper cites Adachi, H.

Tilting theory for extended module categories Adachi, H

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.237120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.608081Z digest=sha256:47565f88feb15e3a8bbc17d3367f7420a4a4fe479e3f9bf96a553d5e17f67658

Observation 86578cfc-27d4-43a2-bb32-1ed756dd5516 · outbound

This paper cites Adachi, O.

Tilting theory for extended module categories Adachi, O

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.223726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.612529Z digest=sha256:34b896f7a66adfa5274a7d3cbb3eff1f7f73dd241c78552edf6050958a6da309

Observation ff447482-8d9b-45e9-aa91-c576d748dcb6 · outbound

This paper cites Aihara and O.

Tilting theory for extended module categories Aihara and O

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.209721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.616496Z digest=sha256:3cdeae5993099670ffdba429d6484e2839f84318aa58fece237fe20a25ce01ce

Observation 707f9bed-8721-4a53-8387-f4bff41fe56d · outbound

This paper cites A characterisation of higher torsion classes.

Tilting theory for extended module categories A characterisation of higher torsion classes

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:30:09.891703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.620171Z digest=sha256:f75f75c5d4901a8a007d2d5b0267c1d24222a64cc0143e36907b3b9f2813ecf2

Observation c40ace29-a28a-4a89-92ef-0f178380eec3 · outbound

This paper cites Auslander, M.

Tilting theory for extended module categories Auslander, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.193440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.625197Z digest=sha256:0fe4f78b1bdac069a5b1320e432128339f116fe10c82359d51633ce7ae886e31

Observation 3f0518b7-211c-4d9a-9a7a-e3263d572ad3 · outbound

This paper cites Auslander and S.

Tilting theory for extended module categories Auslander and S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.180962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.629154Z digest=sha256:ac52aa4ab39a4dcf73bd322752e302785ba7744833eb9d56d0cc3de17e26ff70

Observation e5334877-546e-49ee-8987-d5c1e7a0dd1b · outbound

This paper cites an unresolved cited work.

Tilting theory for extended module categories Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:30:10.169357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.632790Z digest=sha256:7cccfff02f756cdf3d8cbd0ec6fe159028a36181c24c25520e0a59aa398214d2

Observation 1d5b50eb-2631-411d-bb22-8ca4776c43b8 · outbound

This paper cites Bongartz, Tilted Algebras, Proc.

Tilting theory for extended module categories Bongartz, Tilted Algebras, Proc

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.157923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.636414Z digest=sha256:af5be4c8807027a751e0338716778afa7845b852725efd94b01d634d165dbd10

Observation b336dc25-7598-41af-8d85-99539a381fb5 · outbound

This paper cites Brenner and M.

Tilting theory for extended module categories Brenner and M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.145948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.639828Z digest=sha256:eb704a58df084714f5bf984d32615b95e92684812bdc9505279c76f3788f6961

Observation 8ec18596-a8bc-499f-ade9-fb9a7fd0f813 · outbound

This paper cites an unresolved cited work.

Tilting theory for extended module categories Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:30:10.132085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.643142Z digest=sha256:0402992ff28d18307423d1e3f62189d38342711b8b42cea0072bfaf334675093

Observation 9ee0e75e-af45-4d7e-8d90-b8d69f71ab37 · outbound

This paper cites an unresolved cited work.

Tilting theory for extended module categories Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:30:10.118991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.646631Z digest=sha256:05c0c4af6e8a9db7b282062df0debb95c402014270b9654099a971fb409e45b4

Observation 8826507d-743c-419d-b5e5-09b5d62f71fd · outbound

This paper cites Positive and negative extensions in extriangulated categories.

Tilting theory for extended module categories Positive and negative extensions in extriangulated categories

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T14:30:09.650214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:30:09.650214Z digest=sha256:c9587eab2ea033ba7b51bb210e31e6f0b18d6e3a09b7fe46f22cf38f1870c5f5

Observation d231ed2b-4174-49cb-bee9-bfc9150c6ed0 · outbound

This paper cites Gupta, d -term silting objects, torsion classes, and cotorsion classes, arXiv:2407.10562.

Tilting theory for extended module categories Gupta, d -term silting objects, torsion classes, and cotorsion classes, arXiv:2407.10562

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T14:30:09.654265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:30:09.654265Z digest=sha256:cd0e69d65e85f06d75218b439447a56a225c8c796890c93c95a4bd7a1b70faf9

Observation b1a23781-6d28-4a2a-b095-c483301aaeeb · outbound

This paper cites Happel and C.

Tilting theory for extended module categories Happel and C

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.107844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.657710Z digest=sha256:477897450846cf26997e29a44c4373bd50c91f22a1a739ad57f94b38379f7022

Observation c28ab111-20b8-43d5-acf3-2df9a94955f3 · outbound

This paper cites an unresolved cited work.

Tilting theory for extended module categories Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:30:10.094851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.661278Z digest=sha256:ae157991997f190bc14814da9141625feeb8a689c872ef4a88daf12711f6f255

Observation 62651b7b-25a5-4eab-9d7d-18331ee227fa · outbound

This paper cites Iyama, Higher-dimensional Auslander–Reiten theory on maximal orthogonal subcategories, Adv.

Tilting theory for extended module categories Iyama, Higher-dimensional Auslander–Reiten theory on maximal orthogonal subcategories, Adv

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.082715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.664479Z digest=sha256:b29e92252bbfd3f5d05960370bfeb07ced429777f8a2af52dba5c2ff1b699cd0

Observation 8522ae52-5b2e-420e-8347-b5bffd1672e0 · outbound

This paper cites an unresolved cited work.

Tilting theory for extended module categories Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:30:10.069848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.667933Z digest=sha256:dd853e9ae5c816469c3ff3d9313892efa2b329dcbc41dfef6d2c1f69face5444

Observation 44075120-42da-4bab-ac0e-00b6b53b4a46 · outbound

This paper cites Iyama, H.

Tilting theory for extended module categories Iyama, H

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.053719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.671431Z digest=sha256:a0764d4d4b775a05a5a55c52cbe7f40a9ae080498698c28e470a2186f16bb9c2

Observation b7a3bc6a-1b3d-408a-9651-26217e5f820b · outbound

This paper cites M.Jacobsen and P.

Tilting theory for extended module categories M.Jacobsen and P

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.040512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.674834Z digest=sha256:9bd4bc7fabca1e7b1f89f028f2d59f789aa7b75d20b4582549dd5aefc2d7c523

Observation 3fba4e76-caf1-4004-8105-e4c54d92e3cb · outbound

This paper cites J rgensen, Auslander-Reiten triangles in subcategories, J.

Tilting theory for extended module categories J rgensen, Auslander-Reiten triangles in subcategories, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.023620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.678669Z digest=sha256:b51a3f64967784b8925802fc3e47e28fcf5c8191accc7311721701d38cff5038

Observation 4333e0d6-15e1-46c7-bba5-d11c98a55b31 · outbound

This paper cites Keller and D.

Tilting theory for extended module categories Keller and D

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:10.010148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.681772Z digest=sha256:bf0808b99e0f0402c7e0cdaea049d118f63825c35c50f5f616b9ca88e95b287d

Observation 45565161-dd3d-494b-bf03-bf489ecd29f5 · outbound

This paper cites Krause and J.

Tilting theory for extended module categories Krause and J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:09.990306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.685288Z digest=sha256:3ff6c8fdbfde26cb6d67a3b8409f9d025aca52c1a49183c474aff6ab9f0b6267

Observation 33db456a-0bdd-415b-b1d8-0dcc6b4362b9 · outbound

This paper cites K\" o nig and D.

Tilting theory for extended module categories K\" o nig and D

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:09.977676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.689135Z digest=sha256:a2b80e5243e4dac2628ef16e94907e16e1f0113a9174919fa3a06717e63333d8

Observation 1b80aed6-9e4a-46c7-a16e-f4154e413aba · outbound

This paper cites Liu and H.

Tilting theory for extended module categories Liu and H

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:09.965454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.692548Z digest=sha256:1950cb7a243a6b4b51ba6527878f3fec251c4a3d262defe28d774fe41b052c7e

Observation 2f7c32b2-a404-4938-9303-e1ac358ad1d9 · outbound

This paper cites A negative answer to Complement Question for presilting complexes.

Tilting theory for extended module categories A negative answer to Complement Question for presilting complexes

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-12T14:30:09.696047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:30:09.696047Z digest=sha256:f26af7c9e727588cc9d3f046938f1889ae57b9315758b445343cb8991c402a0c

Observation 102620fa-619f-498f-8ad1-974f799badbe · outbound

This paper cites Mart \'i nez and O.

Tilting theory for extended module categories Mart \'i nez and O

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:09.953033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.700269Z digest=sha256:f18a403688793649c852c98173778e4650a405a4b876e9034d2e4e3c0ae6d0f9

Observation 5167e81c-ecee-40f8-b8a6-33d9512c6833 · outbound

This paper cites Support $\tau_2$-tilting and 2-torsion pairs.

Tilting theory for extended module categories Support $\tau_2$-tilting and 2-torsion pairs

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:30:09.776384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.704264Z digest=sha256:f6efa00204b02b00f05dcbe52c5876209a895e48cf378d61ef75a16df4721fbb

Observation 066fa22b-0b98-4b11-a140-c96156760021 · outbound

This paper cites Nakaoka and Y.

Tilting theory for extended module categories Nakaoka and Y

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:09.940407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.708636Z digest=sha256:95a6db0e465679808996aea3ce44f3062c1349f496a4c37afc3b3212c5209ef6

Observation a5f388da-63f3-4cb7-bc4f-d961043a6294 · outbound

This paper cites $\tau_d$-tilting theory for linear Nakayama algebras.

Tilting theory for extended module categories $\tau_d$-tilting theory for linear Nakayama algebras

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:30:09.760774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.711788Z digest=sha256:b1bb390f84af71b247b3a63ff7b926062e64a789dd95996221bde773bc530170

Observation f5efb518-131e-43f0-84f5-6a0d2870005f · outbound

This paper cites an unresolved cited work.

Tilting theory for extended module categories Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:30:09.928222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.715986Z digest=sha256:df5450edd6a2e91ecc89eac6c6d260f626516428fc9a224fe6d87ddd305ecb68

Observation fe2ba746-09b9-41d0-bfde-03514c3a8279 · outbound

This paper cites Zhou and B.

Tilting theory for extended module categories Zhou and B

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:09.916038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.719572Z digest=sha256:f1d6692f9b4de5066ffd04ce026b46ab5289970891745a18e9d87a9684b4a5b7

Observation a56387f7-bfed-4200-9e89-0bb3aa0d2c52 · outbound

This paper cites Zhou and B.

Tilting theory for extended module categories Zhou and B

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:30:09.903919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.724237Z digest=sha256:fee04db81c6dd8fa07646404027581784e412ad3aa2907dee7c9010a2070eeb8

Pith citing papers

Observation 79d36a51-20bf-46a7-80f9-553030c93b37 · inbound

Higher-dimensional generalization of abelian categories via DG-categories cites this paper.

Higher-dimensional generalization of abelian categories via DG-categories Tilting theory for extended module categories

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-10T20:59:49.316385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:59:49.316385Z digest=sha256:71d4aafdd939da2687f46b6ad8a4672e5a0503d229829efd1c0f2a520073e342

Observation 77fc16c6-a7e8-4599-9f09-24c078da6303 · inbound

Extriangulated factorization systems, $s$-torsion pairs and recollements cites this paper.

Extriangulated factorization systems, $s$-torsion pairs and recollements Tilting theory for extended module categories

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T20:06:07.918798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:06:07.918798Z digest=sha256:e4046ae6a49a98bc6790ed9dafb29068cc5e4be18f45a034830a6a2cce954596

Observation 3552be90-3097-40bb-ae75-b5ae44c85387 · inbound

Homotopic morphisms and diagram theorems in extriangulated categories cites this paper.

Homotopic morphisms and diagram theorems in extriangulated categories Tilting theory for extended module categories

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-11T20:26:11.715591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-08T09:06:22.943416Z digest=sha256:3849479cc9530b095a33541b3b9398de34933eb80772fd8ff575305707a3f96c

Observation c64cfe10-6531-44ac-bf0a-1ad2ad0b08a6 · inbound

Silting subcategories and (co)torsion pairs associated to extended hearts cites this paper.

Silting subcategories and (co)torsion pairs associated to extended hearts Tilting theory for extended module categories

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-07-03T16:38:41.057648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-27T05:02:53.294943Z digest=sha256:80b671edda640810c415f1eb55bd044811e94e814f0314c62811a60c4e773ad8

Observation ee15b773-f451-4abd-b5d3-58e2572b6746 · inbound

Extended heart construction (I): The heart of $n$-cotorsion pairs on triangulated categories cites this paper.

Extended heart construction (I): The heart of $n$-cotorsion pairs on triangulated categories Tilting theory for extended module categories

Reference 141

Resolution
unresolved
no resolver link, observed 2026-08-05T23:39:37.326581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T23:39:37.326581Z digest=sha256:ca4ac7c99740803b2ba480f1417478e543afd32dcae7a16e05ac58d4022fd79e