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Paper Citation Record · LEDGER

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry

As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 4 inbound Pith citation observations for arXiv:2412.09724.

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

pith.paper-citation-record.v1
2412.09724 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:53:29.973415Z

measured 30 of 30 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:30:59.180671Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T05:41:23.831932Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved4
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 398925c5-a298-4ab4-9ad0-0976a610d51b · outbound

This paper cites Abouzaid, On the Fukaya Categories of Higher Genus Surfaces, Adv.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Abouzaid, On the Fukaya Categories of Higher Genus Surfaces, Adv

Reference 1

Resolution
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raw_fallback, observed 2026-08-11T16:53:31.149690Z

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=2026-08-11T16:53:29.288785Z digest=sha256:b8bb190943b9e76a9fb27eb61f82fe9274c618cc07c846d20c28dd6cc310e91a

Observation ea124a9a-b494-4892-8a9f-1165e3539d47 · outbound

This paper cites Behnke, J.A.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Behnke, J.A

Reference 2

Resolution
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raw_fallback, observed 2026-08-11T16:53:31.092761Z

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=2026-08-11T16:53:29.324407Z digest=sha256:91ca743b3b81f5329a4d8ed74196607a587c29d0d8fe55ad10dd122d7f188957

Observation b7ab5825-363a-492a-8cca-15c135e5d9f7 · outbound

This paper cites Burban, Stable Bundles on a Rational Curve with One Simple Double Point, Ukrainian Mathematical Journal 55 (2003), 1043–1053.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Burban, Stable Bundles on a Rational Curve with One Simple Double Point, Ukrainian Mathematical Journal 55 (2003), 1043–1053

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:31.029976Z

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=2026-08-11T16:53:29.352483Z digest=sha256:cff28f6be2d46a8bd84b7dfa2b757e2835671c00baa7f42216d15d0d94f8e6fe

Observation e7b1b7fd-8327-47c4-be7e-e5b53e539829 · outbound

This paper cites Buchweitz, Maximal Cohen-Macaulay modules and Tate cohomology, Mathematical Surveys and Monographs, AMS, Providence, RI, 2021, vol.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Buchweitz, Maximal Cohen-Macaulay modules and Tate cohomology, Mathematical Surveys and Monographs, AMS, Providence, RI, 2021, vol

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.962375Z

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=2026-08-11T16:53:29.399327Z digest=sha256:d8d848a40a1328a5c71bcc4a9ce4e997b49ea04a56711bef3034ca600324b156

Observation 37e24667-da05-4994-a969-b1771c999ac6 · outbound

This paper cites Fukaya, Y.-G.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Fukaya, Y.-G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.905444Z

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=2026-08-11T16:53:29.444238Z digest=sha256:eafdbc6784852f8036115df711950b16116a09f2b3226a0259b4b534c722e11f

Observation 905a5230-3b57-4ddf-8bdb-09274e1e102c · outbound

This paper cites Hacking,Exceptional bundles associated to degenerations of surfaces, Duke Math.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Hacking,Exceptional bundles associated to degenerations of surfaces, Duke Math

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.837227Z

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=2026-08-11T16:53:29.476841Z digest=sha256:8d7b2c9b1a52e3e197133d33c1f97ebb2244719bbde1a93ab25992211fdfe132

Observation bfeddadc-51d5-40e5-a570-622715817d55 · outbound

This paper cites Hacking, J.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Hacking, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.819019Z

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=2026-08-11T16:53:29.505801Z digest=sha256:4cce936e9e4f0bbbc78ced64958dfaa53014642f5fe72b4e2a40785db6e2f386

Observation a62c295f-fb82-49ba-bf6d-06676628fd1d · outbound

This paper cites Hille, D.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Hille, D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.801702Z

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=2026-08-11T16:53:29.538051Z digest=sha256:46fe82c8bdcd65c0f1bd700cdc48d31f506b523d3c56c4e2d2e94e3d20fc4451

Observation 04d62baf-71e8-4c6d-865a-79e2b77d034b · outbound

This paper cites Noncommutative Kn\"orrer type equivalences via noncommutative resolutions of singularities.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Noncommutative Kn\"orrer type equivalences via noncommutative resolutions of singularities

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T16:53:29.557284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:53:29.557284Z digest=sha256:1d6687fced912990e616a0e1e72aba68b3fd50c3fd4349bc4746585a66bcc93c

Observation 3cd777ff-cd10-4b4c-963c-24867abbef2b · outbound

This paper cites Kalck, J.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Kalck, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.785546Z

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=2026-08-11T16:53:29.567272Z digest=sha256:d9527f3f25d64e57ea84aeef02d8145d0235773068a81e10b844702d56b93cc1

Observation 4b802db2-b13a-48b8-b5dc-50c701534e02 · outbound

This paper cites Karmazyn, A.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Karmazyn, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.769125Z

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=2026-08-11T16:53:29.571541Z digest=sha256:d0c2293463d8bc81e75837cc250dbdbaa3750c4133d32b90ec7864dbcdd0e9f5

Observation 07f2dca5-7f9d-4dd5-8595-3d8d49511108 · outbound

This paper cites Kawamata, On multi-pointed non-commutative deformations and Calabi–Yau threefolds, Compositio Mathematica, 154 (2018), 1815–1842.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Kawamata, On multi-pointed non-commutative deformations and Calabi–Yau threefolds, Compositio Mathematica, 154 (2018), 1815–1842

Reference 12

Resolution
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raw_fallback, observed 2026-08-11T16:53:30.752652Z

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=2026-08-11T16:53:29.576212Z digest=sha256:d59b87d53d437f19fc0135a21ff9bcac6bec2598bc3ef90f83376254547ed81a

Observation 3db83a55-8bc4-4d5d-874f-281f3a847dee · outbound

This paper cites Kawamata, Semi-orthogonal decomposition and smoothing, J.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Kawamata, Semi-orthogonal decomposition and smoothing, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.711157Z

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=2026-08-11T16:53:29.613270Z digest=sha256:83278c73501eab8662254d27061f417ffcb7168144b1bfa80721e4fc0b9dd5a1

Observation a73ad59c-f2d9-4f8d-a10c-aaa4f0e43e81 · outbound

This paper cites Koll ´ar, N.I.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Koll ´ar, N.I

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.683094Z

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=2026-08-11T16:53:29.689366Z digest=sha256:76f9074d2c3a781b8dccf1e91367218043c5a2c0691e60e6c01b7fd080389fa8

Observation d24bd781-1984-47a8-8cba-a2e2cc84eb6f · outbound

This paper cites Kuznetsov, E.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Kuznetsov, E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.637026Z

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=2026-08-11T16:53:29.756676Z digest=sha256:9d7344cd3fd640a37d5641510ef5675783258107485a4367ac47d00825786cec

Observation 3b84f704-7f91-4c56-9be7-94d7ae1d376a · outbound

This paper cites Lekili, A.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Lekili, A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.523793Z

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=2026-08-11T16:53:29.822302Z digest=sha256:56bac5d5201dd8ba1f887af6e22bc0bb97c6ac61cebf7a5d3358c022605d3ff5

Observation cc5b6f12-f1d5-4564-a356-01ff22c2888c · outbound

This paper cites Lekili, A.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Lekili, A

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.470017Z

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=2026-08-11T16:53:29.859218Z digest=sha256:634140012db125fc717d78227fe616479f1d2c2ee1e841eb113a74e291dbae2d

Observation 183fe7b4-f458-49c4-a5de-b1747c6be537 · outbound

This paper cites Lekili, T.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Lekili, T

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.446275Z

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=2026-08-11T16:53:29.893452Z digest=sha256:2bb3e375e85522d81d200db6a94cac036e3b719808392ef3a71745c6dbba466b

Observation a5e340f3-6670-4401-8987-d13f123ab551 · outbound

This paper cites Lekili, J.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Lekili, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.411631Z

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=2026-08-11T16:53:29.906395Z digest=sha256:1dbdd7cdec84c20cae075ca7bb98048d416d1757dff47fcdcab147b984eb1ba0

Observation 411232f2-674b-43f4-84b1-f9bf4455c9cc · outbound

This paper cites Orlov, Triangulated categories of singularities and D-branes in Landau-Ginzburg models , Algebraic geometry: Methods, relations, and applications, Tr.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Orlov, Triangulated categories of singularities and D-branes in Landau-Ginzburg models , Algebraic geometry: Methods, relations, and applications, Tr

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.344954Z

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=2026-08-11T16:53:29.944989Z digest=sha256:897143cff89a059571fd52605cea44b65e5b7828739ce75d0a918c8a56d9783f

Observation a144a15a-414b-460a-a893-0e9629cf15c4 · outbound

This paper cites an unresolved cited work.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:53:30.264524Z

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=2026-08-11T16:53:29.950179Z digest=sha256:e049d1dc0e4ef54ee74d5bf888d870668a1adc92c38c39556b10d37dda7d2b1e

Observation 0a5ae714-6d00-4d21-bff3-51ee1f1f2025 · outbound

This paper cites Seidel,Homological mirror symmetry for the genus two curve, J.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Seidel,Homological mirror symmetry for the genus two curve, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.246738Z

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=2026-08-11T16:53:29.954744Z digest=sha256:836c71ac98405a5e5ceef8eda0da95607c4de08705ead291d236a3aaaaa3fc25

Observation a032e94d-facf-4c93-aad1-f523970ad739 · outbound

This paper cites Seidel, Fukaya categories and Picard–Lefschetz theory , European Mathematical Society (EMS), Z ¨urich, 2008, vii+326 pp.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Seidel, Fukaya categories and Picard–Lefschetz theory , European Mathematical Society (EMS), Z ¨urich, 2008, vii+326 pp

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.218224Z

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=2026-08-11T16:53:29.959440Z digest=sha256:6916d1f8f8e28b3c37d949fb5d9aa9221b0f6a1ab7ad8cfbb0ed0e272a00cfa4

Observation 4be26508-6fef-4730-bc2e-ee10175977e6 · outbound

This paper cites Categorical aspects of the Koll\'ar--Shepherd-Barron correspondence.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Categorical aspects of the Koll\'ar--Shepherd-Barron correspondence

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-11T16:53:29.964059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:53:29.964059Z digest=sha256:bb5f8e6b94893d643e937c507ad4181b39c805924dfcf11ec38d1b8d3f96fa4c

Observation e5a23f40-05c9-4112-83e6-8f156cb09275 · outbound

This paper cites Wunram, Reflexive modules on cyclic quotient surface singularities, LNM 1273 (1987).

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Wunram, Reflexive modules on cyclic quotient surface singularities, LNM 1273 (1987)

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:53:30.172054Z

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=2026-08-11T16:53:29.968817Z digest=sha256:99a9ff03834ee06159a405543bb47c248ab7b45a4f15b8802711841c0d0f50c8

Observation 9bfa9501-d586-433b-8b82-ae6b3ceb7e25 · outbound

This paper cites an unresolved cited work.

Deformations of Kalck--Karmazyn algebras via Mirror Symmetry Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:53:30.102705Z

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=2026-08-11T16:53:29.973415Z digest=sha256:86a2fe5c888fd6b7cd9d84dfbc4278334fd729ba3a34366d118a292c29f733df

Pith citing papers

Observation 1cd957de-c94d-497d-b545-96d7edba794b · inbound

Categorical absorption for hereditary orders cites this paper.

Categorical absorption for hereditary orders Deformations of Kalck--Karmazyn algebras via Mirror Symmetry

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T15:30:59.180671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:30:59.180671Z digest=sha256:e08e98524e0050321a3d605b2e9f7a57863a895420401b8e994b3bcde5a31943

Observation 218ba215-64de-4935-8f3e-92fb41bd354a · inbound

Curves on surfaces and moduli of associative algebras cites this paper.

Curves on surfaces and moduli of associative algebras Deformations of Kalck--Karmazyn algebras via Mirror Symmetry

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-11T16:46:07.194944Z

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=2026-05-09T15:06:09.593349Z digest=sha256:ad687ed2b4728ac66faeb2677b96b1d81f1eb029bfd59f5d238eafdc6f144314

Observation 7472b7b8-3b22-4fa2-8b0e-fc8c7cb4e0ed · inbound

Curves on surfaces and moduli of associative algebras cites this paper.

Curves on surfaces and moduli of associative algebras Deformations of Kalck--Karmazyn algebras via Mirror Symmetry

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-12T05:41:23.835511Z

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=2026-05-12T05:06:00.669827Z digest=sha256:90cacea7e7c356053633df3777142fb8b2824bf180000d75b1adfee8a623bf52

Observation dce5dd87-94a2-44f5-ad4b-b1e196c0f8f8 · inbound

Categorical absorptions of cone singularities cites this paper.

Categorical absorptions of cone singularities Deformations of Kalck--Karmazyn algebras via Mirror Symmetry

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-01T02:36:09.400555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:36:09.400555Z digest=sha256:3a196c4e26035b532cab3f0c04c7d717db3ac33ee75cbee9a1b45e62b59fcb69