Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:59:28.474478Z
Paper Citation Record · LEDGER
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra
As of 19 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 2 inbound Pith citation observations for arXiv:2504.14293.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-31T15:55:25.968211Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-21T02:23:55.454496Z
Reference resolution
14 of 14 outbound references displayed
- verified exact2
- verified fuzzy7
- unresolved4
- parse uncertain1
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 487c7de7-192d-4002-b15e-c93d89045e44 · outbound
This paper cites Alekseev, C.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Alekseev, C
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:59:28.878261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5962018a-ad52-4c78-8cee-84749307991b · outbound
This paper cites Following the notation for Lie[ x, y], let Lie[ a, b] denote the degree-completedfree Lie algebra on two variables a and b.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Following the notation for Lie[ x, y], let Lie[ a, b] denote the degree-completedfree Lie algebra on two variables a and b
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:59:28.896056Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2cf2cc14-2249-483d-9766-a5ba4ef26ca2 · outbound
This paper cites Baumard, Thesis, 2014.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Baumard, Thesis, 2014
Reference 3
- Resolution
- parse uncertain
- raw_fallback, observed 2026-08-16T11:59:28.862961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2b12e142-1176-498a-b7a6-cbdd09c27cea · outbound
This paper cites an unresolved cited work.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:59:28.848291Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 701ce199-9f52-4ad4-ba74-371b14c46325 · outbound
This paper cites Dorigoni et al, Canonicalizing zeta generators: genus zero an d genus one, arXiv: 2406.05099v2.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Dorigoni et al, Canonicalizing zeta generators: genus zero an d genus one, arXiv: 2406.05099v2
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:59:28.430120Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93871db1-a66e-45c2-a0dd-cfba133b9c88 · outbound
This paper cites an unresolved cited work.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:59:28.832749Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 73a54fc3-3dbd-4041-81ee-78129e20a9bc · outbound
This paper cites Enriquez, H.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Enriquez, H
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:59:28.815474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 20fb906c-e744-4448-800f-2e70eab1f556 · outbound
This paper cites Furusho, Double shuffle relation for associators, Annals of Math.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Furusho, Double shuffle relation for associators, Annals of Math
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:59:28.800647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d3120a63-d853-4bc9-a317-fb11bfa4b8a3 · outbound
This paper cites Racinet, Doubles m´ elanges des polylogarithmes multiples aux ra cines de l’unit´ e.Publ.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Racinet, Doubles m´ elanges des polylogarithmes multiples aux ra cines de l’unit´ e.Publ
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:59:28.782108Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9865cc27-5919-4bd3-a1ca-86dad31a7c70 · outbound
This paper cites Raphael, L.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Raphael, L
Reference 10
- Resolution
- verified exact
- raw_fallback, observed 2026-08-16T11:59:28.678061Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 979f1353-51d5-45b7-ab85-a4a7f8f25bb0 · outbound
This paper cites Salerno, L.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Salerno, L
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:59:28.767642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 222fd6bc-afb7-414a-94e2-3153bf727361 · outbound
This paper cites ARI, GARI, Zig and Zag: An introduction to Ecalle's theory of multiple zeta values.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra ARI, GARI, Zig and Zag: An introduction to Ecalle's theory of multiple zeta values
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:59:28.464378Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4515a502-48e4-4d3e-94bd-55ba0b0c5669 · outbound
This paper cites Schneps, Double shuffle and Kashiwara-Vergne Lie algebras, J.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Schneps, Double shuffle and Kashiwara-Vergne Lie algebras, J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:59:28.752924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5770c096-5525-49ee-9741-119b46eb4690 · outbound
This paper cites Elliptic multiple zeta values, Grothendieck-Teichm\"uller and mould theory.
The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra Elliptic multiple zeta values, Grothendieck-Teichm\"uller and mould theory
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:59:28.517211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
Observation 9e0f9d69-ceca-4d6c-9f87-12bdbe47f8c3 · inbound
Brunnian braids and the inclusion from double shuffle Lie algebra to Kashiwara-Vergne Lie algebra cites this paper.
Brunnian braids and the inclusion from double shuffle Lie algebra to Kashiwara-Vergne Lie algebra The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra
Reference 25
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T02:23:55.456951Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3fc83ea4-9cb4-4037-904e-84c72c9d6156 · inbound
Double shuffle relations imply the infinitesimal hexagon equation cites this paper.
Double shuffle relations imply the infinitesimal hexagon equation The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-07-31T15:55:25.968211Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.