Paper Citation Record · LEDGER

A family of algebraic operations extending the Turaev cobracket

As of 9 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2502.04806.

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

pith.paper-citation-record.v1
2502.04806 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T21:40:49.521123Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:47:18.137779Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T16:47:18.228749Z

Reference resolution

16 of 16 outbound references displayed

verified exact2
verified fuzzy0
unresolved10
parse uncertain0
malformed identifier2
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fef19dcf-4db5-4726-9261-9424fd265675 · outbound

This paper cites Stable homology of Lie algebras of derivations and homotopy invariants of wheeled operads.

A family of algebraic operations extending the Turaev cobracket Stable homology of Lie algebras of derivations and homotopy invariants of wheeled operads

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-08-08T21:40:49.715425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 405fd4df-a664-491f-b07b-40f2db7824c9 · outbound

This paper cites 1 [KK14] Nariya Kawazumi and Yusuke Kuno.

A family of algebraic operations extending the Turaev cobracket 1 [KK14] Nariya Kawazumi and Yusuke Kuno

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-08T21:40:49.494789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bc90c4e-24e8-471f-941e-b3edaadbfcd1 · outbound

This paper cites Modular vector fields in non-commutative geometry.

A family of algebraic operations extending the Turaev cobracket Modular vector fields in non-commutative geometry

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-08T21:40:49.512652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 515a8816-5cb5-45b1-96c2-f0ebcdb5b4eb · outbound

This paper cites 1, 2, 2.5, 2.7, 4, A, A [Tur91] Vladimir G.

A family of algebraic operations extending the Turaev cobracket 1, 2, 2.5, 2.7, 4, A, A [Tur91] Vladimir G

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-08T21:40:49.515630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93da556c-f7a0-4af9-8591-12a804873ef2 · outbound

This paper cites 4, 4 14 [Gin05] Victor Ginzburg.

A family of algebraic operations extending the Turaev cobracket 4, 4 14 [Gin05] Victor Ginzburg

Reference 1986

Resolution: verified exact; doi, observed 2026-08-08T21:40:49.557337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bede4654-1d40-440d-9848-47ba580f7959 · outbound

This paper cites 1 [vdB08] Michel van den Bergh.

A family of algebraic operations extending the Turaev cobracket 1 [vdB08] Michel van den Bergh

Reference 1991

Resolution: unresolved; no resolver link, observed 2026-08-08T21:40:49.518372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf1e6fe9-e541-4fec-a411-7548a4ede91e · outbound

This paper cites Combinatorial Lie bialgebras of curves on surfaces.

A family of algebraic operations extending the Turaev cobracket Combinatorial Lie bialgebras of curves on surfaces

Reference 2004

Resolution: unresolved; no resolver link, observed 2026-08-08T21:40:49.475557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6182b473-f281-4a86-b07d-d876ee42b49b · outbound

This paper cites Lectures on Noncommutative Geometry.

A family of algebraic operations extending the Turaev cobracket Lectures on Noncommutative Geometry

Reference 2005

Resolution: verified exact; local_arxiv, observed 2026-08-08T21:40:49.703000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8816175b-1f1d-4667-b195-3f8a2829852b · outbound

This paper cites Double Poisson algebras.

A family of algebraic operations extending the Turaev cobracket Double Poisson algebras

Reference 2008

Resolution: unresolved; no resolver link, observed 2026-08-08T21:40:49.521123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7dc6fd3-a18b-4a07-bf26-bf1b4ece1ad1 · outbound

This paper cites Deformation theory of representations of prop(erad)s.

A family of algebraic operations extending the Turaev cobracket Deformation theory of representations of prop(erad)s

Reference 2009

Resolution: unresolved; no resolver link, observed 2026-08-08T21:40:49.505970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2ef674d-b60e-4ce1-a687-9fd77d1a7d44 · outbound

This paper cites The logarithms of Dehn twists.

A family of algebraic operations extending the Turaev cobracket The logarithms of Dehn twists

Reference 2014

Resolution: malformed identifier; no resolver link, observed 2026-08-08T21:40:49.498551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58b0129f-b20b-4b2b-8997-a4cc61229cc6 · outbound

This paper cites Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves.

A family of algebraic operations extending the Turaev cobracket Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-08T21:40:49.509644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 572e06d5-a9a3-416d-93d5-1a1c3ffe6683 · outbound

This paper cites The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms.

A family of algebraic operations extending the Turaev cobracket The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms

Reference 2016

Resolution: malformed identifier; no resolver link, observed 2026-08-08T21:40:49.501657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f7f4252-9b60-4d6f-979d-d4baf649d024 · outbound

This paper cites The Lie bracket of undirected curves on a surface.

A family of algebraic operations extending the Turaev cobracket The Lie bracket of undirected curves on a surface

Reference 2021

Resolution: metadata mismatch; local_arxiv, observed 2026-08-08T21:40:49.727395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 005d7e88-e9d5-46e3-bda0-b7d757c6044b · outbound

This paper cites The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera.

A family of algebraic operations extending the Turaev cobracket The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-08T21:40:49.468606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41828102-5c3e-40b6-8209-7f0ebf395bca · outbound

This paper cites 1 [Cha04] Moira Chas.

A family of algebraic operations extending the Turaev cobracket 1 [Cha04] Moira Chas

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-08T21:40:49.472695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 8ec7e008-a963-47a9-bcaf-552f9a0b6af9 · inbound

The formality of the Goldman-Turaev Lie bialgebra on a closed surface cites this paper.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface A family of algebraic operations extending the Turaev cobracket

Reference 2025

Resolution: metadata mismatch; local_arxiv, observed 2026-08-08T16:47:18.234861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.