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Paper Citation Record · LEDGER

Tilting theory for extended module categories

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.608081Z digest=sha256:8e361a9dd58252c2024d7d86274b38903917610604ccaf909f1795803c3cbd85

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.612529Z digest=sha256:25a87a93fb101f2038e6315aa3148171ba69399a6a7bac70641c9b1c5b95fd9f

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.616496Z digest=sha256:53cbabbe527bce6f1b81ba06c80718d6d6856c3b6d0ea0f90092dcaf0d3e9132

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.620171Z digest=sha256:ca1ab5f7b0fe71ce72351834b0254aaf2fd6f84c63aabe5c370561c6e4c18e54

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.625197Z digest=sha256:cc68f316b2a316785737674148493062c14c0e67227a0cc1d29f2b8da7ca5a41

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.629154Z digest=sha256:688d8986ce7ad7ef67f84f1d1307c46672338092eed99ae596ba6343a00c2109

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.632790Z digest=sha256:9324fddc2c00da20b0781b7d0ce951392ab5fa8f53da5806cda2fd2a5a87f1a0

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.636414Z digest=sha256:aa63fe21337d58e15eb60e7b7458198851290f3b79eec6141f66207e15745a0d

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.639828Z digest=sha256:c791b2220d397553cabde9b3e73eaf10aaf0ff9518d10670ddba2bfa4b3e5b27

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.643142Z digest=sha256:77bc6d33243094bfe1fe2d32ea69f3646332f74c376d3c7e0c8beb524e782749

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.646631Z digest=sha256:14915778916a979068a2a8338dfb2ca08de3cea68c582cf88a9bfe45f7209675

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:aa82bb68bf0acf646a5ffbacd5b7d37bd0aba1091a22523df0ccf0716a9d99ac

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.657710Z digest=sha256:f550e5502bd40c8396180db3355fd912a2ddcc2de47cf9cb2a6c4223e9b1299c

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.661278Z digest=sha256:493c58e44356564931f304ff8c1b6a4ec091713291f287751c4ae2d7eaa68fa1

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.664479Z digest=sha256:bdf9084a16038550f38314637ee426e6b23dc4b23c299f12ad6add95966bdc3c

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.667933Z digest=sha256:35e54a7368ccf6a52b4a499f8f97b5466a57d6a09eb86cbc002f24ddb3ce9077

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.671431Z digest=sha256:66427d40d236b7223ce612debe3f42478d0a507cb1f6cc0983ff7b881480d6f5

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.674834Z digest=sha256:1205bcdc45355185d0a085cabc0a6cb9ef43884eb119d43d48113159def7e614

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.678669Z digest=sha256:af47b01a65be55172603b0397f93e55303a1132c4257c6795a015bc032adbf1a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.681772Z digest=sha256:fa641581451cc4df89cfe3d7d8471ed7381bb5b4fe53d550a53a68560005a0ce

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.685288Z digest=sha256:00e3bdaa060c25a4dd46a31b60d6e68793df00a68fe91b91f8a38390a829a64a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.689135Z digest=sha256:0bb70124d6413103cbbb0240d165dd8c4c3f24159f79f7ba291f00c2119a5cb4

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.692548Z digest=sha256:e3be47f1608a36905b20ee5dc97dc6225bfb696de5176d4cd8865ce182bfd16a

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:dc880eca210b705f414eff7ead0ed699baa7d6b6a9cfb2151c1498c35f49125b

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.700269Z digest=sha256:4b81404c9ef4edb33d07d65d60faa47a5f26d099aec654c773f81e08c4e7b4e9

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.704264Z digest=sha256:a39ecf1d890cc60b88bad5955b53b99c502a29ab431311d8fcaffada5a9769b8

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.708636Z digest=sha256:010d25ccef80e8dfa05b6d95c104325950b965a1912f0ca55273c5b43ec578e0

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.711788Z digest=sha256:ee4d3a0334822ad213dceacbdaaceb3122a772eb329f6c64f9198412738594c2

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.715986Z digest=sha256:30eb68baea592a337672c16513739bbb75aa8d1eea9f6494e04531afa0d8b787

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.719572Z digest=sha256:dc0e51ff1a7f7931cb3a9bebc275cccaeb54b4866559aadb2a6c47c13d06b590

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.724237Z digest=sha256:0feb6836cd31e7ee267c5785fda196be46411d31066610ef09cc03440faa01de

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:fd5855626527f44fb8d0e6993d95b3730268d78bd47a30c4cbbf1c5c73c6f110

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=sha256:67c7acfbc57224a340240cbdc5a64c1a8b3a319782f75d07f5ab1656c91ee3b7

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-08T09:06:22.943416Z digest=sha256:e0e64fd8395c3e9e70af165a4c2294656d7200a33808336cc5a5c35009389f91

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-27T05:02:53.294943Z digest=sha256:87c4566256d1a90633680c4cc7e4dc741d5372f5da73bed4fe805d0cdcd30b63

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=sha256:59230dcd47a33c49b429118544193642106446d83da48d90ae725c876ab9162d