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Paper Citation Record · LEDGER

Affine Yangians as Limits of Quantum Toroidal Algebras

As of 18 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2605.12871.

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

pith.paper-citation-record.v1
2605.12871 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T21:38:40.708167Z

measured 36 of 36 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

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Reference resolution

36 of 36 outbound references displayed

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External citation measurements

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Outbound references

Observation 03b11bef-351b-41f3-a9be-92b41f4710bd · outbound

This paper cites Braid group action and quantum affine algebras.

Affine Yangians as Limits of Quantum Toroidal Algebras Braid group action and quantum affine algebras

Reference 1

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Observation 59af0592-889c-4167-8449-974043eb4493 · outbound

This paper cites Drinfeld Realization for Quantum Affine Orthosymplectic Superalgebras.

Affine Yangians as Limits of Quantum Toroidal Algebras Drinfeld Realization for Quantum Affine Orthosymplectic Superalgebras

Reference 2

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:2dafd5c56d31487fdd2ac9eb15e015eb220b4b8cf8fb5db92a76aa107d54a7bc

Observation ac2771d2-adeb-4c69-b3ef-a256431a278e · outbound

This paper cites Twisted quantum affinizations and quantization of extended affine Lie algebras.

Affine Yangians as Limits of Quantum Toroidal Algebras Twisted quantum affinizations and quantization of extended affine Lie algebras

Reference 3

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:43574d782e0da6eaa16f76a3e8dd4b9f569f9770564442d9356d85c69aaf773b

Observation d61bdb82-f0cc-47e2-b05d-b26341cd9638 · outbound

This paper cites From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: injectivity.

Affine Yangians as Limits of Quantum Toroidal Algebras From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: injectivity

Reference 4

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:e99e1a34b3f7a539860a29253d2b4c605d501e10357987a839237e6f1f469934

Observation 856d0b6c-6b4f-447c-a5d6-9ec746cea978 · outbound

This paper cites Hopf algebras and the quantum Yang-Baxter equation.

Affine Yangians as Limits of Quantum Toroidal Algebras Hopf algebras and the quantum Yang-Baxter equation

Reference 5

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:f254d9b75dde379c93352799a680400973f742aa3c78347da93ffaae5a90639f

Observation b5471cd6-264f-4523-a7d2-0cc371edd1c9 · outbound

This paper cites Quantum groups.

Affine Yangians as Limits of Quantum Toroidal Algebras Quantum groups

Reference 6

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:f6a9111780bfedc3ef0599d95259b2470b387db577a09e38ce78c0d80111ea51

Observation cf6709e1-253e-4fbc-8db7-92fc7ac58f63 · outbound

This paper cites A new realization of Yangians and of quantum affine algebras.

Affine Yangians as Limits of Quantum Toroidal Algebras A new realization of Yangians and of quantum affine algebras

Reference 7

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:292b2b50a58f886028327baf039a6584a245cb3a8faffe2411fff45714cad9da

Observation 90afa5cc-16b1-433b-b8dd-180897fa6386 · outbound

This paper cites Commutative Algebra.

Affine Yangians as Limits of Quantum Toroidal Algebras Commutative Algebra

Reference 8

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:61a3e9208992d47268f0cfb29f99d650dbe3d11f6da36a601a39fe31dc352624

Observation 54cb7a94-812b-4454-8be9-d578c2efe4bf · outbound

This paper cites Quantum vertex representations via finite groups and the McKay corre- spondence.

Affine Yangians as Limits of Quantum Toroidal Algebras Quantum vertex representations via finite groups and the McKay corre- spondence

Reference 9

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:f94231665bd066018a077ea3cece04628122a359b260d24037a140706846d878

Observation f5daa87c-d4a8-4927-bdc1-daf5264bd8d8 · outbound

This paper cites Yangians and quantum loop algebras.

Affine Yangians as Limits of Quantum Toroidal Algebras Yangians and quantum loop algebras

Reference 10

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:f7b85632a6cc7178b58741c7bb8fb241cd7f44bab70b40e413448e3adac54b86

Observation f37c051c-4305-47f5-bbd3-812da6171a9f · outbound

This paper cites Affine Yangians and deformed double current algebras in type A.

Affine Yangians as Limits of Quantum Toroidal Algebras Affine Yangians and deformed double current algebras in type A

Reference 11

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:123391ba6eda1c0ebd1d54dd79ca7c9b467e4024ee293a9705befb533edb1660

Observation 22da25f9-b68d-4277-8e8a-7b0d4f3c4514 · outbound

This paper cites From quantum loop algebras to Yangians.

Affine Yangians as Limits of Quantum Toroidal Algebras From quantum loop algebras to Yangians

Reference 12

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:b260590c39fc612954dc7a64b6e4c1966300ef8829bbbca4b7a7ec912d8a5d2a

Observation befbedcd-1a86-4342-9fd0-adf3af52b557 · outbound

This paper cites Coproduct for Yangians of affine Kac-Moody algebras.

Affine Yangians as Limits of Quantum Toroidal Algebras Coproduct for Yangians of affine Kac-Moody algebras

Reference 13

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:c21f3cb91a9655095241d444d2b6de4b4034cf5bae30c6db163db9e94c597197

Observation 76ebd826-ec64-49b3-8c25-b83bac53d306 · outbound

This paper cites Vertex representations for Yangians of Kac-Moody algebras.

Affine Yangians as Limits of Quantum Toroidal Algebras Vertex representations for Yangians of Kac-Moody algebras

Reference 14

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:c1b07ac778955a717134b0282186f2d6f812fc172e24def3d1aca673820cc711

Observation a8ee4047-2d74-4e06-b9e3-e83927339979 · outbound

This paper cites Representations of quantum affinizations and fusion product.

Affine Yangians as Limits of Quantum Toroidal Algebras Representations of quantum affinizations and fusion product

Reference 15

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:1f08ee726202a7f06bf5c51ed4d7ea4687c31fc201f2de96bfdd135bcb456248

Observation e299e5aa-5350-492e-a5f7-a262ba94339e · outbound

This paper cites Quantum toroidal algebras and their representations.

Affine Yangians as Limits of Quantum Toroidal Algebras Quantum toroidal algebras and their representations

Reference 16

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:8291697c2c03e01303efa82abc40c035026b01e38abe5002949f0901eeee2225

Observation 0dd04be2-9985-4afb-8f2d-8b830d8f40ec · outbound

This paper cites Aq-difference analogue ofU(g) and the Yang-Baxter equation.

Affine Yangians as Limits of Quantum Toroidal Algebras Aq-difference analogue ofU(g) and the Yang-Baxter equation

Reference 17

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:b69ae66155d2d0b693a4920c13536fa30ac9eb673d84e672ad59af603c98befe

Observation a8c53151-0bd9-4f9b-8d16-4caabf3c3c98 · outbound

This paper cites Quantum Kac-Moody algebras and vertex representations.

Affine Yangians as Limits of Quantum Toroidal Algebras Quantum Kac-Moody algebras and vertex representations

Reference 18

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:51d7af952090894361000b3cb503551af5ae5daac76b0593858009161b97fe11

Observation d0fb2ede-5787-40e3-8d18-85d02362a907 · outbound

This paper cites On Drinfeld realization of quantum affine algebras.

Affine Yangians as Limits of Quantum Toroidal Algebras On Drinfeld realization of quantum affine algebras

Reference 19

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:319aaf901e556c0180ff4ea086d41f4a97f344d6e3f7bd4c762663f98f4e7ab0

Observation 17fae589-0e70-4ed6-81af-ce6176494d2d · outbound

This paper cites Infinite-dimensional Lie algebras.

Affine Yangians as Limits of Quantum Toroidal Algebras Infinite-dimensional Lie algebras

Reference 20

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:9891635d8635697bda3e3c565138ddfe0a6dc056fd8ca186f2e19ba023e7ad23

Observation c86bee72-529e-44b2-8b47-9624f5d4ba0d · outbound

This paper cites Quantum Groups.

Affine Yangians as Limits of Quantum Toroidal Algebras Quantum Groups

Reference 21

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:0e3799c0e41d69fcbfe6b82c2a6b9c2c33970f6a3f15660b7ff7ac8144ee3dfb

Observation 7d6dc09c-a28a-4406-90b5-538250798c4f · outbound

This paper cites Braid group action on affine Yangian.

Affine Yangians as Limits of Quantum Toroidal Algebras Braid group action on affine Yangian

Reference 22

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:3f67c620abede96f63f96a13e6eb99ea751179c09f12f81803b013d4bdd3cf40

Observation 308f4b4a-fa2e-4c47-af8c-b15e5b7b5685 · outbound

This paper cites Automorphisms of quantum toroidal algebras from an action of the extended double affine braid group.

Affine Yangians as Limits of Quantum Toroidal Algebras Automorphisms of quantum toroidal algebras from an action of the extended double affine braid group

Reference 23

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:7c2a8df5b94ed260df880aeacd336733dc0a0e83c251085c6c3e696c94f55051

Observation f48bdde3-76b5-4c6e-af50-db276b2c047e · outbound

This paper cites From quantum loop superalgebras to super Yangians.

Affine Yangians as Limits of Quantum Toroidal Algebras From quantum loop superalgebras to super Yangians

Reference 24

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:1b25757f16c2efcbf7010fd1211258c98e9137cf718fc8cb75b33c392d18ec9f

Observation 48078541-5b09-4adb-b4a5-1b4b9de5c343 · outbound

This paper cites On generators and defining relations of quantum affine superalgebra Uq(bslm|n).

Affine Yangians as Limits of Quantum Toroidal Algebras On generators and defining relations of quantum affine superalgebra Uq(bslm|n)

Reference 25

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:96a360ac2022a81ea773c9f40fda2a718a87d0fd6f55c8584a6da551405bbcd2

Observation 98fd49fa-bf28-47fa-bc5d-222be953b443 · outbound

This paper cites Drinfeld super Yangian of the exceptional Lie superalgebraD(2,1;λ).

Affine Yangians as Limits of Quantum Toroidal Algebras Drinfeld super Yangian of the exceptional Lie superalgebraD(2,1;λ)

Reference 26

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:b70e746b7f3da17243a0a6e2659eb35db96cc57b8fdf7f63ae2f9c351f5d4b29

Observation 0b0a89f7-e527-4748-8cf0-2bc114413aa3 · outbound

This paper cites Affineıquantum groups and twisted Yangians in Drinfeld presentations.

Affine Yangians as Limits of Quantum Toroidal Algebras Affineıquantum groups and twisted Yangians in Drinfeld presentations

Reference 27

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:c8786abce7422601bf2d8eaa10e4dfde4aafa025d4f7729d21ed9a43b9608d1f

Observation 0daf0198-29a4-4952-b03c-8725de52f006 · outbound

This paper cites A Drinfeld type presentation of affineıquantum groups I: Split ADE type.

Affine Yangians as Limits of Quantum Toroidal Algebras A Drinfeld type presentation of affineıquantum groups I: Split ADE type

Reference 28

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:9571b538df82882052bce3a469df25d12c719065bec30b6097bd38daba029a08

Observation d4dbdf8c-28cb-45ab-a91f-0063f39cb493 · outbound

This paper cites Affine Hecke algebras and their graded version.

Affine Yangians as Limits of Quantum Toroidal Algebras Affine Hecke algebras and their graded version

Reference 29

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:173a02ac0b3d719341ed994bda4f7c992512251e4daedfe4f36ae3708b191834

Observation 197ec5ea-ec0f-4e6b-9e49-d924bb6e22f3 · outbound

This paper cites Toroidal braid group action and an automorphism of toroidal algebraU q(sln+1,tor) (n⩾2).

Affine Yangians as Limits of Quantum Toroidal Algebras Toroidal braid group action and an automorphism of toroidal algebraU q(sln+1,tor) (n⩾2)

Reference 30

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:7cec8d0524992322affe5acd3a585f9e4f65f8c441e50b71e8fc575eee90e19f

Observation 4700964d-4932-4f41-95e8-e290e2951c8f · outbound

This paper cites Toroidal Lie algebras and vertex representations.

Affine Yangians as Limits of Quantum Toroidal Algebras Toroidal Lie algebras and vertex representations

Reference 31

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:7af95fa7cbb443979609a139f5deb5aa583ae45656fddb9ada3c59e40f906ff3

Observation 55b74707-ef79-4edb-8e08-8386ba3629b8 · outbound

This paper cites The PBW basis ofU q,q(¨gln).

Affine Yangians as Limits of Quantum Toroidal Algebras The PBW basis ofU q,q(¨gln)

Reference 32

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:0e388ddc5c1ab47de9f82044206bbc334f1b663d9aba8708d068898e329cf522

Observation db26044c-47fe-4c3a-bace-fe1330f63175 · outbound

This paper cites Classical limits of quantum toroidal and affine Yangian algebras.

Affine Yangians as Limits of Quantum Toroidal Algebras Classical limits of quantum toroidal and affine Yangian algebras

Reference 33

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:d1c3b058d125086c6e85bd79788b724d32a345f1f203d05870bcef95b5480e75

Observation 0f4f6cdb-e9f6-4f3e-8a69-c231b4da9910 · outbound

This paper cites Schur duality in the toroidal setting.

Affine Yangians as Limits of Quantum Toroidal Algebras Schur duality in the toroidal setting

Reference 34

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source=pdf_text observed=2026-06-30T21:38:40.708167Z digest=sha256:9f76bf647edc931c220ea08aad9a9acd7b27ca2d22827050aec957c6701d124e

Observation 4ff77a65-2982-4340-b694-0b61a4580c4a · outbound

This paper cites Finite dimensional modules over quantum toroidal algebras.

Affine Yangians as Limits of Quantum Toroidal Algebras Finite dimensional modules over quantum toroidal algebras

Reference 35

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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=2026-06-30T21:38:40.708167Z digest=sha256:29dbb2ffdf211501cd6c3172725fc25c8c098f7d63f03c63416bb3d4356d53f2

Observation 4d0b1292-3c81-4629-ad4e-3969e9ce7066 · outbound

This paper cites The PBW theorem for affine Yangians.

Affine Yangians as Limits of Quantum Toroidal Algebras The PBW theorem for affine Yangians

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T16:24:02.350301Z

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=2026-06-30T21:38:40.708167Z digest=sha256:d60174fc8d5c0616719691303ed37468b021fdaaa3dd834eec2653f5197d8b67

Pith citing papers

No inbound Pith citation observations are available.