Paper Citation Record · LEDGER

The formality of the Goldman-Turaev Lie bialgebra on a closed surface

As of 9 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2502.06154.

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

pith.paper-citation-record.v1
2502.06154 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:47:18.146227Z

measured 19 of 19 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 2026-05-18T02:14:35.593223Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T02:15:38.643234Z

Reference resolution

18 of 18 outbound references displayed

verified exact3
verified fuzzy0
unresolved10
parse uncertain0
malformed identifier2
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a8971bf6-b4ef-4dbb-9e2f-d255debd227b · outbound

This paper cites The logarithms of Dehn twists.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface The logarithms of Dehn twists

Reference 10

Resolution: malformed identifier; no resolver link, observed 2026-08-08T16:47:18.111460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f086a5f-966e-42df-9847-aebf25b4b2a9 · outbound

This paper cites 1, 4, 4.2, 4.10, 4.2, 4.13, 4.17, 4.2, 4.2, 4.3, 6, 6 [Tan25] Toyo Taniguchi.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface 1, 4, 4.2, 4.10, 4.2, 4.13, 4.17, 4.2, 4.2, 4.3, 6, 6 [Tan25] Toyo Taniguchi

Reference 15

Resolution: verified exact; raw_fallback, observed 2026-08-08T16:47:18.318892Z

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 2aef7c3f-262b-480b-8da2-d7552695fc36 · outbound

This paper cites 1 [Mas18] Gw´ ena¨ el Massuyeau.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface 1 [Mas18] Gw´ ena¨ el Massuyeau

Reference 1978

Resolution: unresolved; no resolver link, observed 2026-08-08T16:47:18.120641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d1143e6-eed4-4176-9526-718cbd51f49b · outbound

This paper cites 2.4 [Gon20] Martin Gonzalez.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface 2.4 [Gon20] Martin Gonzalez

Reference 1986

Resolution: unresolved; no resolver link, observed 2026-08-08T16:47:18.102594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86e0bbd4-cc1d-4613-8f64-652f0e1c7094 · outbound

This paper cites 2.4 [Ver99] Mich` ele Vergne.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface 2.4 [Ver99] Mich` ele Vergne

Reference 1991

Resolution: unresolved; no resolver link, observed 2026-08-08T16:47:18.142086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6da8bb7b-630d-4247-949b-d92e80cb6105 · outbound

This paper cites an unresolved cited work.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface Unresolved cited work

Reference 1999

Resolution: verified exact; doi, observed 2026-08-08T16:47:18.182602Z

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 dbe90db9-4d5e-4dcc-8b55-0b377097965e · outbound

This paper cites On the Kashiwara-Vergne conjecture.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface On the Kashiwara-Vergne conjecture

Reference 2006

Resolution: metadata mismatch; local_arxiv, observed 2026-08-08T16:47:18.565126Z

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 92e2558e-198d-4d2a-ab10-4625ae595bfe · outbound

This paper cites Noncommutative Geometry and Quiver algebras.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface Noncommutative Geometry and Quiver algebras

Reference 2007

Resolution: verified exact; local_arxiv, observed 2026-08-08T16:47:18.530185Z

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 2a26022c-d9a6-4919-8973-b0842fe44a03 · outbound

This paper cites The Kashiwara-Vergne conjecture and Drinfeld's associators.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface The Kashiwara-Vergne conjecture and Drinfeld's associators

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-08T16:47:18.066113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcb791de-70fe-4fe6-85db-734ba1e09bf0 · outbound

This paper cites Elliptic associators.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface Elliptic associators

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-08T16:47:18.083011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e887edd1-048a-4903-98b5-2dad850c0a8b · outbound

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

The formality of the Goldman-Turaev Lie bialgebra on a closed surface The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms

Reference 2016

Resolution: malformed identifier; local_arxiv, observed 2026-08-08T16:47:18.375728Z

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 59a4331f-560e-4ee0-822b-bc86223aa30d · outbound

This paper cites Formal descriptions of Turaev's loop operations.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface Formal descriptions of Turaev's loop operations

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-08T16:47:18.124814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25d190d1-1955-4d01-93e1-7f68d862955a · outbound

This paper cites 1 [Dri90] Vladimir Gershonovich Drinfeld.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface 1 [Dri90] Vladimir Gershonovich Drinfeld

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-08T16:47:18.077446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6279b9ab-76a9-4bab-8935-cfe2d8950a8f · outbound

This paper cites Surface Drinfeld Torsors I : Higher Genus Associators.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface Surface Drinfeld Torsors I : Higher Genus Associators

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-08T16:47:18.107134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19e2768a-17e5-4e53-87dc-fa82b22adee9 · outbound

This paper cites Graph Complexes and higher genus Grothendieck-Teichm\"uller Lie algebras.

The formality of the Goldman-Turaev Lie bialgebra on a closed surface Graph Complexes and higher genus Grothendieck-Teichm\"uller Lie algebras

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-08T16:47:18.088604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88613f2d-25c6-46be-8ae0-a2c474c15c3c · outbound

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

The formality of the Goldman-Turaev Lie bialgebra on a closed surface The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-08T16:47:18.054760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b584d790-320f-4635-8cdc-b560caddf1ba · outbound

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

The formality of the Goldman-Turaev Lie bialgebra on a closed surface Modular vector fields in non-commutative geometry

Reference 2024

Resolution: metadata mismatch; local_arxiv, observed 2026-08-08T16:47:18.338572Z

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 8ec7e008-a963-47a9-bcaf-552f9a0b6af9 · outbound

This paper cites A family of algebraic operations extending the Turaev cobracket.

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.

Pith citing papers

Observation 525cf2c4-5092-4c52-9dd4-8d0777ea4fd0 · inbound

Drinfeld associators and Kashiwara-Vergne associators in higher genera cites this paper.

Drinfeld associators and Kashiwara-Vergne associators in higher genera The formality of the Goldman-Turaev Lie bialgebra on a closed surface

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-18T02:15:38.646688Z

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.