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Paper Citation Record · LEDGER

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2412.15569.

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

pith.paper-citation-record.v1
2412.15569 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:25:12.602385Z

measured 42 of 42 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:44:31.015131Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T22:44:32.611093Z

Reference resolution

40 of 40 outbound references displayed

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  • verified fuzzy31
  • unresolved9
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation 6d46ada4-e75c-4301-85b2-1689b075fcb2 · outbound

This paper cites an unresolved cited work.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Unresolved cited work

Reference 1

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Observation ae4e89a4-9b9c-412d-aa0a-8d3ed23415c3 · outbound

This paper cites Nijenhuis deformations of Poisson algebras and $F$-manifold algebras.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Nijenhuis deformations of Poisson algebras and $F$-manifold algebras

Reference 2

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Observation 95d6992b-8cfb-4c50-8b03-0141e3d1ae5f · outbound

This paper cites Baishya and A.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Baishya and A

Reference 3

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Observation 0f94d3ad-63f0-4bb5-9420-8dea4a20c0e9 · outbound

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Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Unresolved cited work

Reference 4

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Observation 8fcbadd2-d087-4c29-849e-9f346abd6f0a · outbound

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Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-11T11:25:12.423385Z digest=sha256:d95c8f6aacfa2bac79a3d94eb520e064b25a48388a456384be72136f964c795b

Observation fbfbdba2-f1a3-4fa2-a3ac-d6a63457a93f · outbound

This paper cites Das, Deformations of associative Rota-Baxter operat ors, J.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Das, Deformations of associative Rota-Baxter operat ors, J

Reference 6

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source=pdf_text observed=2026-08-11T11:25:12.428669Z digest=sha256:5b3f4335e04a6d3bda792fcb285fc54c4b1e6bbb497b09b126690dd587e9791e

Observation 92f3d4a7-36d8-4019-af29-f578d3150ea6 · outbound

This paper cites Das, Cohomology and deformations of twisted Rota-Bax ter operators and NS-algebras, J.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Das, Cohomology and deformations of twisted Rota-Bax ter operators and NS-algebras, J

Reference 7

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source=pdf_text observed=2026-08-11T11:25:12.434432Z digest=sha256:b8dd34ffe4f3d6076e976f13b4ec338175d979204893a0f29353a54ea1283652

Observation ebe22bda-1954-4bd4-baab-63a7103fdc0d · outbound

This paper cites Das, Cohomology and deformations of dendriform algeb ras, and Dend∞ -algebras, Comm.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Das, Cohomology and deformations of dendriform algeb ras, and Dend∞ -algebras, Comm

Reference 8

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source=pdf_text observed=2026-08-11T11:25:12.440194Z digest=sha256:6daaff306bbd8b1e829757a57400c922c64fffe3730384b0a8d9a1cf0f8cd606

Observation db6e5e74-be9e-48e6-85e1-b4443e7e7693 · outbound

This paper cites Das and S.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Das and S

Reference 9

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source=pdf_text observed=2026-08-11T11:25:12.446306Z digest=sha256:a7dfcb5031b4311aa4da855461f320c0d5a386ba8f9baf39ef04a2224069aa83

Observation 3d13af60-dbac-4f27-a03e-1ae3243a6f59 · outbound

This paper cites Ebrahimi-Fard, Loday-type algebras and the Rota-Ba xter relation, Lett.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Ebrahimi-Fard, Loday-type algebras and the Rota-Ba xter relation, Lett

Reference 10

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Observation aa2e7fdd-04a0-4df6-a3ca-86919208d376 · outbound

This paper cites Ebrahimi-Fard, On the associative Nijenhuis relati on, Elec.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Ebrahimi-Fard, On the associative Nijenhuis relati on, Elec

Reference 11

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Observation 6ce2c884-e056-4c76-9f16-17a8b12fcdbd · outbound

This paper cites Ebrahimi-Fard and P.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Ebrahimi-Fard and P

Reference 12

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Observation 4d528fd8-37ce-4306-960c-c5379b1131bb · outbound

This paper cites Fiorenza and M.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Fiorenza and M

Reference 13

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Observation 8d38c606-8044-443d-bc18-02caa967bdaf · outbound

This paper cites Fr´ egier, M.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Fr´ egier, M

Reference 14

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source=pdf_text observed=2026-08-11T11:25:12.473364Z digest=sha256:95c2f2b49a53fcd05b73c76aaa6518401b4dd00904387e068f5f050e1656bf55

Observation 7a2974c0-d068-463e-96b4-344d2a802099 · outbound

This paper cites Fr´ egier and M.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Fr´ egier and M

Reference 15

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Observation 938d3269-e80e-491a-8ced-a0ecb53ee0bb · outbound

This paper cites Gerstenhaber, On the deformation of rings and algebr as, Ann.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Gerstenhaber, On the deformation of rings and algebr as, Ann

Reference 16

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Observation 671fdbde-fcb1-4093-b843-1669e381fec8 · outbound

This paper cites Gerstenhaber and S.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Gerstenhaber and S

Reference 17

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Observation 504707b3-1819-447d-94b7-116a09df0c2f · outbound

This paper cites Guo, What is.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Guo, What is

Reference 18

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source=pdf_text observed=2026-08-11T11:25:12.491986Z digest=sha256:a753f3e997c29944ef11235603f68727827a907fb4ac32ce3354433357c77ba5

Observation 15a87094-d735-4533-a3d5-5739ac7bc8cc · outbound

This paper cites Guo and Z.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Guo and Z

Reference 19

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source=pdf_text observed=2026-08-11T11:25:12.496443Z digest=sha256:94d9fb5f384b0365309cd110870f0e9d8d70f29c01d4232f86b7e8666d0e2844

Observation 88a1d422-e204-4d10-8ee9-5d0ca7b02db3 · outbound

This paper cites Hochschild, On the cohomology groups of an associati ve algebra, Ann.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Hochschild, On the cohomology groups of an associati ve algebra, Ann

Reference 20

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source=pdf_text observed=2026-08-11T11:25:12.501064Z digest=sha256:e39159dc06558d6b54ab048ed13cac8938a439523046de1befd2f7b9382ba243

Observation 5702d011-611e-454f-8942-a59c55910e09 · outbound

This paper cites Jin and H.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Jin and H

Reference 21

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source=pdf_text observed=2026-08-11T11:25:12.505288Z digest=sha256:cd0d324b1cc3dd04c64b8a72472f7c8b2e5b4704add2561bd4c83c913804f1ea

Observation a6cce000-966c-4a0f-a7eb-e2aa973b4b0a · outbound

This paper cites Keller, Introduction to A∞ -algebras and modules, Homology Homotopy Appl.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Keller, Introduction to A∞ -algebras and modules, Homology Homotopy Appl

Reference 22

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Observation ea375a3a-d946-43a0-8f95-d4b5fcfe9d05 · outbound

This paper cites Kosmann-Schwarzbach and F.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Kosmann-Schwarzbach and F

Reference 23

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Observation 199365c0-69c8-4593-a9fd-c03232e63683 · outbound

This paper cites Lazarev, Y.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Lazarev, Y

Reference 24

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Observation 3a7270bd-2540-4442-8993-2b329a93c499 · outbound

This paper cites Lei and L.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Lei and L

Reference 25

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Observation f0c86506-2bb7-4ac6-bf7e-0ca0cd5ec2c5 · outbound

This paper cites Leroux, Construction of Nijenhuis operators and den driform trialgebras, Int.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Leroux, Construction of Nijenhuis operators and den driform trialgebras, Int

Reference 26

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Observation 8c711ae2-78e2-4dbc-988f-fa538a8a752e · outbound

This paper cites an unresolved cited work.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Unresolved cited work

Reference 27

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Observation b2e7e444-0fa9-42ee-8947-52f3d323e063 · outbound

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Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Unresolved cited work

Reference 28

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source=pdf_text observed=2026-08-11T11:25:12.539480Z digest=sha256:8c594e94bb3df67c8c36cbae35321a7b8adb840dfd485cff7e53f32c89cf4a29

Observation df9a00b3-e22a-4288-a3e2-57f4975ac346 · outbound

This paper cites Loday, Dialgebras, Dialgebras and related operads , 7-66, Lecture Notes in Math., 1763, Springer, Berlin , 2001.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Loday, Dialgebras, Dialgebras and related operads , 7-66, Lecture Notes in Math., 1763, Springer, Berlin , 2001

Reference 29

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Observation 292f0667-ed07-4e36-9920-1886a139111e · outbound

This paper cites Loday, On the operad of associative algebras with derivation, Georgian Math.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Loday, On the operad of associative algebras with derivation, Georgian Math

Reference 30

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Observation 8393b578-0fba-419b-9f63-025e6492eb56 · outbound

This paper cites Ma and L.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Ma and L

Reference 31

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Observation 7d4931bf-0797-4996-a186-55410ff9cb94 · outbound

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Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Unresolved cited work

Reference 32

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Observation 4f7dcfc1-78f7-4cec-b433-8eddcc75b1ff · outbound

This paper cites Mondal and R.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Mondal and R

Reference 33

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Observation 5aa50acb-710c-4a42-b0fb-a6f90b0b3a14 · outbound

This paper cites Nijenhuis and R.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Nijenhuis and R

Reference 34

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verified fuzzy
raw_fallback, observed 2026-08-11T11:25:12.775561Z

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.

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Observation d81b60fc-1332-4c35-b077-5141b331901f · outbound

This paper cites an unresolved cited work.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:25:12.757060Z

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.

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Observation ab44321f-af95-4a55-b40e-5eed6f1b94ab · outbound

This paper cites an unresolved cited work.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:25:12.736779Z

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.

source=pdf_text observed=2026-08-11T11:25:12.580406Z digest=sha256:3aca57bacd83ace2aa4441ceb3036ef6fc37a7f1a89fc697afa2264b6221bfbe

Observation aaad7d39-636a-42df-a7fd-51a47e121165 · outbound

This paper cites Uchino, Quantum analogy of Poisson geometry, relate d dendriform algebras and Rota-Baxter operators, Lett.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Uchino, Quantum analogy of Poisson geometry, relate d dendriform algebras and Rota-Baxter operators, Lett

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:25:12.719501Z

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.

source=pdf_text observed=2026-08-11T11:25:12.585701Z digest=sha256:b0aeb8a5dbcd49c266b3aa5f3a05c83709a8ab8198c4aa685c63fcda0ad4de01

Observation a91d700e-0d76-4c95-8ffc-4cfa89298321 · outbound

This paper cites W ang, Y.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras W ang, Y

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:25:12.700735Z

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.

source=pdf_text observed=2026-08-11T11:25:12.591348Z digest=sha256:343dc51b4453d93ca411375e844d3123b0fd5ac59797f71b6bc464acf96a47a6

Observation b984e0b4-a75f-4354-8b29-bebd14950a39 · outbound

This paper cites W ells, Automorphisms of group extensions, Trans.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras W ells, Automorphisms of group extensions, Trans

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:25:12.682228Z

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.

source=pdf_text observed=2026-08-11T11:25:12.596973Z digest=sha256:e2033409971bcf14058fe4c3065fceba84513c0cca1be27e9c015b16047840a7

Observation d6eacd22-4fbc-4f65-bf2c-0ecf6ee1b614 · outbound

This paper cites Yuan, O-operators and Nijenhuis operators of associative conform al algebras, J.

Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras Yuan, O-operators and Nijenhuis operators of associative conform al algebras, J

Reference 40

Resolution
verified fuzzy
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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.

source=pdf_text observed=2026-08-11T11:25:12.602385Z digest=sha256:f360e2722c24ba20dd8964472f514c8c307e80009946c47861dbc9193a62527f

Pith citing papers

Observation 7d54e5e0-a9db-4aa4-9d0d-f3674f322b7c · inbound

Deformations theory and minimal model of operads for Nijenhuis algebras morphisms cites this paper.

Deformations theory and minimal model of operads for Nijenhuis algebras morphisms Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras

Reference 7

Resolution
verified exact
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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.

source=pdf_text observed=2026-08-05T22:44:31.015131Z digest=sha256:4e3941a46dfb14a4f40cbe5c3cc92caa678bbb75e236c979ca801bc34cf08558

Observation 3c5bfa33-19ec-4787-9cfa-1394adf8b9b9 · inbound

Nijenhuis modules and the ring of Nijenhuis operators cites this paper.

Nijenhuis modules and the ring of Nijenhuis operators Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras

Reference 2

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:13:15.308541Z digest=sha256:b81c935404fc29874598b1b7d898f8cfb3f29012d4c0ce2be0468d29c95515b7