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Paper Citation Record · LEDGER

A family of algebraic operations extending the Turaev cobracket

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-08T21:40:49.483110Z digest=sha256:e02b3ac8e836e53fcb294fe900628117ed03fa2b73965fed632deae2d3cdcf51

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.

source=pdf_text observed=2026-08-08T21:40:49.494789Z digest=sha256:dd02d4390acf7ad8525c094c4bd342958a90fa69e51bbaaf3df6486285562905

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.

source=pdf_text observed=2026-08-08T21:40:49.512652Z digest=sha256:696b0f0979165e93931dab2cd23048d3bff6c61b8215175385c7e9736232183b

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.

source=pdf_text observed=2026-08-08T21:40:49.515630Z digest=sha256:ab272964bb61d8226fe1355a32eca3671731bdd55885e2850de15de8fffc8496

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-08T21:40:49.486850Z digest=sha256:5e7c64dc311b3955923a8568deb7c593cf0509f206e9e59a74cebf48b4ff0ef8

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.

source=pdf_text observed=2026-08-08T21:40:49.518372Z digest=sha256:4cf949686e99c78bc3c4500c800038da5ac978d41d1d7c77425ecfd8b48a7e55

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.

source=pdf_text observed=2026-08-08T21:40:49.475557Z digest=sha256:6b42bb99d356752e10ff08a1647d145922a81fd43f5cd04b20a61a29b1a5b6fc

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-08T21:40:49.491068Z digest=sha256:6beaef6b4148438b153418322a2c3252f73cf266482e1c70c41550460f70c003

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.

source=pdf_text observed=2026-08-08T21:40:49.521123Z digest=sha256:fd7a6c6a7128ac5f35bcc6b6b69bc03e7a4d65016d040e03cababdd1840fefe1

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.

source=pdf_text observed=2026-08-08T21:40:49.505970Z digest=sha256:508699454556b52058544616bac59de418f0cd36c59cdd0ca2c20a20cb0f72ab

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.

source=pdf_text observed=2026-08-08T21:40:49.498551Z digest=sha256:b80fad0049c42b81b8fc7a5c4ea1b9427d84237279fe6f21c40f5322731ebdf1

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.

source=pdf_text observed=2026-08-08T21:40:49.509644Z digest=sha256:3ba0730a1d9f8edff0398d2437479d7b60ff4816cea8d183725d7eb39447c630

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.

source=pdf_text observed=2026-08-08T21:40:49.501657Z digest=sha256:8182c997fd9c838f29b8ca719977c865eb62802aeb2d54a4d658aee33f1667d0

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-08T21:40:49.479477Z digest=sha256:b5de9f20caf64aa7cc1bc3dabdbb4f1a80dcd2f205935a141ab75df13d1e4a8a

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.

source=pdf_text observed=2026-08-08T21:40:49.468606Z digest=sha256:e159399371bf964530a1fed1a43f42775e3a43c4e6dfb0ddc8c7cd736f2d3d29

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.

source=pdf_text observed=2026-08-08T21:40:49.472695Z digest=sha256:259fc3eedb67a953102be3e951358d393ce70b3fca46b20490b539ca59de08c1

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-08T16:47:18.137779Z digest=sha256:61f706ae5c6373941ef9aeda4f9426cfe3d6eec3e078cb5a606a5cf9b71e3ef2