Paper Citation Record · LEDGER

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2605.27305.

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

pith.paper-citation-record.v1
2605.27305 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T18:41:47.688259Z

measured 16 of 16 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T00:54:15.962288Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

verified exact1
verified fuzzy0
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6887641d-308e-48f5-b5fc-9a0d7194bead · outbound

This paper cites an unresolved cited work.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fc5d2f4-cea8-475e-8a04-e4181479f376 · outbound

This paper cites Lect.\ Notes in Math.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ Lect.\ Notes in Math

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6390cae-0bb9-452a-8b76-b12c53f62a05 · outbound

This paper cites Linear Algebra Appl.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ Linear Algebra Appl

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac0e92f3-9518-47bb-b425-ec4408d918fd · outbound

This paper cites (2025) Jacobi identities for Wronskian determinants over multidimension, Bulgarian J.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ (2025) Jacobi identities for Wronskian determinants over multidimension, Bulgarian J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b26e8e4-7917-4f8d-aa80-84ced35803a6 · outbound

This paper cites On the associative homotopy Lie algebras and the Wronskians.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ On the associative homotopy Lie algebras and the Wronskians

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66eda5be-ad32-4eeb-9092-d70fe69bb466 · outbound

This paper cites Wronskians as n-Lie multiplications.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ Wronskians as n-Lie multiplications

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-14T18:50:41.655893Z

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.

Observation caa5757f-8ff8-4efe-be2b-146938313544 · outbound

This paper cites Algebra 678 253-278 DOI: https://doi.org/10.1016/j.jalgebra.2025.03.040 https://doi.org/10.1016/j.jalgebra.2025.03.040.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ Algebra 678 253-278 DOI: https://doi.org/10.1016/j.jalgebra.2025.03.040 https://doi.org/10.1016/j.jalgebra.2025.03.040

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e17b65e6-3463-4cb6-8468-ad63ce6ac57f · outbound

This paper cites (1983) The growth of the Lie algebra generated by two generic vector fields on the line, Vestnik Moskov.\ Univ.\ Ser.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ (1983) The growth of the Lie algebra generated by two generic vector fields on the line, Vestnik Moskov.\ Univ.\ Ser

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60a13f1f-ecd6-4278-83c8-29fd619a6770 · outbound

This paper cites (1983) Algebras of intermediate growth.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ (1983) Algebras of intermediate growth

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80964860-2699-4609-8bb4-41530037b554 · outbound

This paper cites Introduction to sh Lie algebras for physicists.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ Introduction to sh Lie algebras for physicists

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a93f5d0f-7163-45d0-847a-daf1f690866c · outbound

This paper cites an unresolved cited work.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7def6dce-6425-4fe7-9cc5-33797e9b163b · outbound

This paper cites from Russian), Publications Mathématiques de l'IHÉS 31 5--19.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ from Russian), Publications Mathématiques de l'IHÉS 31 5--19

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5054a18a-7f5f-4212-bf60-baee8d2c09de · outbound

This paper cites Wronskians as $N$-ary brackets in finite-dimensional analogues of $sl(2)$.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ Wronskians as $N$-ary brackets in finite-dimensional analogues of $sl(2)$

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aed7175a-3253-499a-a23d-8b1687750837 · outbound

This paper cites The alternating compositions of weighted differential operators yield the weights' Wronskian with which constant?.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ The alternating compositions of weighted differential operators yield the weights' Wronskian with which constant?

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f35ecc5e-3dea-4f7e-8d6f-e0049609f062 · outbound

This paper cites Nambu (1973) Generalized Hamiltonian dynamics.

Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ Nambu (1973) Generalized Hamiltonian dynamics

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T18:41:47.688259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation f73dae72-2b18-45d8-80a2-a70dbc735fb5 · inbound

Iterate Wronskians over $\mathbb{R}^d$ as $N$-ary brackets on $\mathbb{R}[x^1,\ldots,x^d]$: the $N$-bonacci numbers bound the highest total degrees cites this paper.

Iterate Wronskians over $\mathbb{R}^d$ as $N$-ary brackets on $\mathbb{R}[x^1,\ldots,x^d]$: the $N$-bonacci numbers bound the highest total degrees Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T00:54:15.962288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.