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Paper Citation Record · LEDGER

Tilting theory for extended module categories

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.608081Z digest=sha256:f325a1c605a661e4c3c7b31fd2162a7bd1f667b5c57dc3d99ff735346b39623e

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.612529Z digest=sha256:747d564924801c602ab8bf238507b3bf33f935591145d62f582c2f98cf1b34a9

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.616496Z digest=sha256:e4b861e0e3875f395e14a5ac87c5b907ed92c02baab6752e02ac35bec5134961

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.620171Z digest=sha256:a1dd3b5ddae9a501e805d912ebdf0927647e4a7674668be966a441e8a7f77ca0

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.625197Z digest=sha256:6026898eb77a63eb938337e5e4ba455eed13de5d6ae642f26cb4ffd6e2344b00

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.629154Z digest=sha256:ca35d18757113151989d36cc8251ba39126c200981ec7cac117f2e892ffc8efe

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.632790Z digest=sha256:a0c23600d7aba17cd1cf37f672a1426da13cc2c41d9d4ac1bf89b2ab6df4ccf1

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.636414Z digest=sha256:280c910d2ba638c4a111f2e4e59cd7a4f2d911ed99d56b7467908a244208a766

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.639828Z digest=sha256:0479111d241250075db6f3b8256bc37f4c2fea235e402574c7c8f482c2498bec

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.643142Z digest=sha256:867670b14a35378cbd24c01b862ad0ed00480fea6a3bcc5bf5695bfcb3053075

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.646631Z digest=sha256:a76107c98354f3ce1cefc3a5674b7679f17b7a343ad951a1393e3742ea53842e

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:da66322b5c7d19fb1eda8345076b49f983e95436ef20b360ec77bf63b77f1401

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.657710Z digest=sha256:ed30cfb86c1882b463327f2e48c74573036b59876748f134d706c396bf914139

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.661278Z digest=sha256:d27ced87accfd19ec60cefe088fc4672db2988bd4019ddd9e18fb6eeaae21e6e

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.664479Z digest=sha256:567bf8762cdf9bc55da25b46bb22d2578b300a145438e4f697b9eb5e10981eb3

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.667933Z digest=sha256:6b59ef358829450446b0c64413aab93f6982690f315661bf5f92129e5f6cb0de

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.671431Z digest=sha256:413503812ba24fb4df028eed211fb452658886d90d0dc9b8041a5cc344995da3

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.674834Z digest=sha256:dc3ace824c6f00013bce6373f5532143fd9774b4fd74fd61592ae74a5e916657

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.678669Z digest=sha256:bb32014e23c54f95ebede2cf9af675cc44a12370379854dfbee1ac627c0b5b65

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.681772Z digest=sha256:dff35c336213aad0f3526da2f89cabe67fe7df19c862330b25a74aef606b98e8

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.685288Z digest=sha256:434bc6fe4aafbc0c47d97dcfd602b1955d7be23fef1687e9c85d942276484509

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.689135Z digest=sha256:5f8ca19966bfea33fc97e9d6d1d1b99f6f5e4b4e9807aab9f1577334afa7fbdc

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.692548Z digest=sha256:4d3894b324d53b632586865862d8816854ed38429d0135f29b613e2d23ef0f33

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=sha256:3aba70c32c3f729bf71a1159a00ee326e8e69e1d5491e1f1b3a439ea72e0fbbe

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.700269Z digest=sha256:ba3e4cf76104ab51285d391c85693ca4a4da9cb40b78ff44225650506d7a9668

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.704264Z digest=sha256:411ca34f5a9e52963d5a65d91bab01620b85997109f15bc9d9a989d95379cd1c

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.708636Z digest=sha256:9396a088a4404061a5ea14237d1244012bb071b9ca8de3aa29aa8f1cdf593f9f

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.711788Z digest=sha256:3d23403763d2f11db4a6825dd59203c6b0dd79072a3e90c6956fde2bd10c72f2

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.715986Z digest=sha256:1d6a4844d8ee61ebedb7dbf874709077e33894ea0a1a5369be9b5a2a28e64b33

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.719572Z digest=sha256:d93937babd1b0e5fd4efdecb8251d92866d2fc503ff8173f8a7a1031221700e8

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:30:09.724237Z digest=sha256:6f5d67a577683bca9faf10f755e79a9dfc61129665665379069dae66f6b6acf4

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=sha256:1525740a54c33fd6c240aba12f3fae3beb4041e6ab070e9538253b0aa2b620ae

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-08T09:06:22.943416Z digest=sha256:c4b15369cb1f7723a33b25b7d2f5ccfb33c3fd2d4f2e1a22d269262bfe070456

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-27T05:02:53.294943Z digest=sha256:761dba90e89747fa19daad82b0304f15667047aad72e0e7e4c3b3c2affa4a4d9

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:c411ce8bc0a3d33384f42208a489b24f6d34190df21d9513f0fc90e32c811e49