Paper Citation Record · LEDGER

Double Poisson (vertex) algebra cohomology

As of 18 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2509.21232.

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

pith.paper-citation-record.v1
2509.21232 v3

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:51:24.086512Z

measured 43 of 43 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-19T21:56:13.353011Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T21:57:48.464965Z

Reference resolution

42 of 42 outbound references displayed

verified exact14
verified fuzzy8
unresolved19
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External citation measurements

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Outbound references

Observation 32260dae-90fa-4725-b361-e1485852f161 · outbound

This paper cites Goldman-Turaev formality implies Kashiwara-Vergne.

Double Poisson (vertex) algebra cohomology Goldman-Turaev formality implies Kashiwara-Vergne

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:25.049800Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 42af8215-423b-4148-9b9a-e04af2ebe182 · outbound

This paper cites Quasi-Poisson Manifolds.

Double Poisson (vertex) algebra cohomology Quasi-Poisson Manifolds

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.821054Z

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Unavailable: canonical work link unavailable.

Observation 3303e5d1-6101-4a0a-88c7-c95b778f9703 · outbound

This paper cites A remark on the $C_2$-cofiniteness condition on vertex algebras.

Double Poisson (vertex) algebra cohomology A remark on the $C_2$-cofiniteness condition on vertex algebras

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.830979Z

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Observation dd628a19-807e-4c4a-9b75-f03ea12640f9 · outbound

This paper cites Preliminary version of the mono- graph (2024), 350pp.

Double Poisson (vertex) algebra cohomology Preliminary version of the mono- graph (2024), 350pp

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:25.286813Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 154bc41e-c942-4961-a0d0-5b5f5fcfc403 · outbound

This paper cites An operadic approach to vertex algebra and Poisson vertex algebra cohomology.

Double Poisson (vertex) algebra cohomology An operadic approach to vertex algebra and Poisson vertex algebra cohomology

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.961154Z

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Observation eebc575f-97f9-4cb8-933e-6abf82029997 · outbound

This paper cites Classical and variational Poisson cohomology.

Double Poisson (vertex) algebra cohomology Classical and variational Poisson cohomology

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.929380Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e4ad9176-e882-4803-a640-4ce94fe7adeb · outbound

This paper cites Computation of cohomology of Lie conformal and Poisson vertex algebras.

Double Poisson (vertex) algebra cohomology Computation of cohomology of Lie conformal and Poisson vertex algebras

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.900491Z

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Observation e7207a6e-7e83-4831-8c38-1594a2642eeb · outbound

This paper cites Cohomology of Conformal Algebras.

Double Poisson (vertex) algebra cohomology Cohomology of Conformal Algebras

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.861581Z

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Observation 9667dbca-a99d-4b2a-83dd-473213696e00 · outbound

This paper cites Poisson vertex algebras in the theory of Hamiltonian equations.

Double Poisson (vertex) algebra cohomology Poisson vertex algebras in the theory of Hamiltonian equations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.881850Z

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Observation 2263f737-5bc4-4231-91cf-734290eb3e3a · outbound

This paper cites Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras.

Double Poisson (vertex) algebra cohomology Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.890131Z

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Observation fe3452f4-0d41-40be-83c5-202812516250 · outbound

This paper cites an unresolved cited work.

Double Poisson (vertex) algebra cohomology Unresolved cited work

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-15T15:51:24.788114Z

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Observation fe6785b4-3a72-4223-844c-73f1fbf678a0 · outbound

This paper cites Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets.

Double Poisson (vertex) algebra cohomology Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.701185Z

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Observation 8dc22243-9a79-4d73-950a-b0a53271b020 · outbound

This paper cites Hamiltonian structures for integrable nonabelian difference equations.

Double Poisson (vertex) algebra cohomology Hamiltonian structures for integrable nonabelian difference equations

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.671081Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 96f87d29-70e2-4e8d-889a-e7d05a4ef018 · outbound

This paper cites Differential calculus over double Lie algebroids.

Double Poisson (vertex) algebra cohomology Differential calculus over double Lie algebroids

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.910457Z

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Observation b4890675-f5f8-4c27-8c4d-185588451fcf · outbound

This paper cites Noncommutative Geometry and Quiver algebras.

Double Poisson (vertex) algebra cohomology Noncommutative Geometry and Quiver algebras

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.915644Z

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Observation 7f3bef26-66b8-4b9d-9bba-2e868a22a22f · outbound

This paper cites Noncommutative derived Poisson reduction.

Double Poisson (vertex) algebra cohomology Noncommutative derived Poisson reduction

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.921196Z

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Observation 0d29fca8-7b45-4b57-8fca-ffbd84113733 · outbound

This paper cites Lie conformal algebra cohomology and the variational complex.

Double Poisson (vertex) algebra cohomology Lie conformal algebra cohomology and the variational complex

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.584725Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 47a6fef5-7649-4604-82ed-05ed326545c9 · outbound

This paper cites Essential variational Poisson cohomology.

Double Poisson (vertex) algebra cohomology Essential variational Poisson cohomology

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.553707Z

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Observation 968e5c5b-a22a-439f-a1d3-9f5be83c6d9b · outbound

This paper cites The variational Poisson cohomology.

Double Poisson (vertex) algebra cohomology The variational Poisson cohomology

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.522153Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3e1bfc52-208d-42a6-9cba-3ba2c220ac20 · outbound

This paper cites Classical W-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras.

Double Poisson (vertex) algebra cohomology Classical W-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.487173Z

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Observation 4f862fc0-6c08-4075-a9a1-077e3c563c1e · outbound

This paper cites Double Poisson vertex algebras and non-commutative Hamiltonian equations.

Double Poisson (vertex) algebra cohomology Double Poisson vertex algebras and non-commutative Hamiltonian equations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.950576Z

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Unavailable: canonical work link unavailable.

Observation b8c81d2c-9a63-4cd1-9d6a-a2566f43a833 · outbound

This paper cites Double quasi-Poisson brackets : fusion and new examples.

Double Poisson (vertex) algebra cohomology Double quasi-Poisson brackets : fusion and new examples

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.957372Z

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Observation 67e91280-1f63-4aea-831e-17a88f79b299 · outbound

This paper cites Double Multiplicative Poisson Vertex Algebras.

Double Poisson (vertex) algebra cohomology Double Multiplicative Poisson Vertex Algebras

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.416249Z

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Observation 52667518-1b0d-4c5c-8f8c-d77ad9c2527e · outbound

This paper cites an unresolved cited work.

Double Poisson (vertex) algebra cohomology Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.973167Z

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Observation eb0ff145-1aa0-440e-8ecb-5fe078f3a12e · outbound

This paper cites Second edition.

Double Poisson (vertex) algebra cohomology Second edition

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:25.265263Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b5cf04bc-c564-407b-a7fc-240d0334c8f6 · outbound

This paper cites Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE.

Double Poisson (vertex) algebra cohomology Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:23.985177Z

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Observation 2b097ce4-c1b0-40c6-b5fd-936e1f0c52f3 · outbound

This paper cites In: The Gelfand Mathe- matical Seminars, 1990–1992 , Birkh¨ auser, Boston, pp.

Double Poisson (vertex) algebra cohomology In: The Gelfand Mathe- matical Seminars, 1990–1992 , Birkh¨ auser, Boston, pp

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:25.240427Z

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Observation 9965e0bb-724f-4392-a5b5-88fb283cd0a1 · outbound

This paper cites In: The Gelfand Mathe- matical Seminars, 1996–1999 , Birkh¨ auser, Boston, pp.

Double Poisson (vertex) algebra cohomology In: The Gelfand Mathe- matical Seminars, 1996–1999 , Birkh¨ auser, Boston, pp

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:25.216877Z

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Observation 81e4d91c-34c1-4821-b9fb-e64b4a3d82d5 · outbound

This paper cites Grundlehren der mathematischen Wissenschaften, 347.

Double Poisson (vertex) algebra cohomology Grundlehren der mathematischen Wissenschaften, 347

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:25.194507Z

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Observation 0738d7d4-4984-44b0-8a19-bab6c0a361ad · outbound

This paper cites an unresolved cited work.

Double Poisson (vertex) algebra cohomology Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:51:25.167757Z

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Observation ee27a181-0a6a-45ad-ac8e-4b61fa96434e · outbound

This paper cites Quasi-Poisson structures on representation spaces of surfaces.

Double Poisson (vertex) algebra cohomology Quasi-Poisson structures on representation spaces of surfaces

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:24.013060Z

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Observation 4e31eb21-3303-4211-9205-b36519c6f30b · outbound

This paper cites 11 309–331 (1872).

Double Poisson (vertex) algebra cohomology 11 309–331 (1872)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:25.145017Z

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Observation 9678321a-a5d5-4e44-8acf-509549d1f957 · outbound

This paper cites an unresolved cited work.

Double Poisson (vertex) algebra cohomology Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:51:25.121918Z

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Observation 389bf75c-2c5d-49c5-af1b-1429b4ede919 · outbound

This paper cites Double Poisson brackets on free associative algebras.

Double Poisson (vertex) algebra cohomology Double Poisson brackets on free associative algebras

Reference 34

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T15:51:24.257475Z

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Observation 742ca286-6191-4ac0-a3e6-21afe992eb0a · outbound

This paper cites Double Poisson Cohomology of Path Algebras of Quivers.

Double Poisson (vertex) algebra cohomology Double Poisson Cohomology of Path Algebras of Quivers

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:24.043078Z

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Observation fa70434d-a458-4e77-a52b-6192c273212b · outbound

This paper cites On double Poisson structures on commutative algebras.

Double Poisson (vertex) algebra cohomology On double Poisson structures on commutative algebras

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:24.049946Z

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Unavailable: canonical work link unavailable.

Observation da139921-0256-46f4-85dc-5459aac7a28e · outbound

This paper cites Poisson algebras and Yang-Baxter equations.

Double Poisson (vertex) algebra cohomology Poisson algebras and Yang-Baxter equations

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:24.055818Z

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Unavailable: canonical work link unavailable.

Observation 948ded63-4b70-46c9-a15b-d4c4522f097b · outbound

This paper cites Double Poisson algebras.

Double Poisson (vertex) algebra cohomology Double Poisson algebras

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:24.061267Z

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Unavailable: canonical work link unavailable.

Observation 4492e12f-aae0-4c8d-b6c7-d29b82da23c7 · outbound

This paper cites Non-commutative quasi-Hamiltonian spaces.

Double Poisson (vertex) algebra cohomology Non-commutative quasi-Hamiltonian spaces

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:24.066566Z

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Unavailable: canonical work link unavailable.

Observation ea902b7f-2486-4c90-bb2a-05d0556b30ba · outbound

This paper cites Double Poisson structures on finite dimensional semi-simple algebras.

Double Poisson (vertex) algebra cohomology Double Poisson structures on finite dimensional semi-simple algebras

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:51:24.136746Z

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Observation ea0a7b49-b4c6-4562-a64f-c627a2b62617 · outbound

This paper cites Private communication (2025).

Double Poisson (vertex) algebra cohomology Private communication (2025)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:25.100698Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 16eb37c8-7448-42bf-8606-3f3e0a28f62b · outbound

This paper cites Private communication (2025).

Double Poisson (vertex) algebra cohomology Private communication (2025)

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:25.078900Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation b8e203fe-1b4b-4826-86b8-7c38af429f22 · inbound

Coupled double Poisson brackets cites this paper.

Coupled double Poisson brackets Double Poisson (vertex) algebra cohomology

Reference 81

Resolution: verified exact; arxiv_id, observed 2026-06-25T01:17:46.332549Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.