Paper Citation Record · LEDGER

Double shuffle relations imply the infinitesimal hexagon equation

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.28163.

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

pith.paper-citation-record.v1
2607.28163 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T15:55:25.968211Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

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 exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dc89020c-c8b6-48b1-aa27-754984b5f077 · outbound

This paper cites Alekseev and C.

Double shuffle relations imply the infinitesimal hexagon equation Alekseev and C

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:24.979324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4610a9b9-edfe-4163-9e79-0efdde236875 · outbound

This paper cites an unresolved cited work.

Double shuffle relations imply the infinitesimal hexagon equation Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.046193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2577d9d9-73d5-4fc3-a0d6-be9d8299ac10 · outbound

This paper cites Cartier and F.

Double shuffle relations imply the infinitesimal hexagon equation Cartier and F

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.130391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb145bef-bb14-41eb-a65f-bdbe874edf51 · outbound

This paper cites an unresolved cited work.

Double shuffle relations imply the infinitesimal hexagon equation Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.187343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32ae3f2b-5190-4b76-bd8f-e587c55dad05 · outbound

This paper cites Deligne and A.

Double shuffle relations imply the infinitesimal hexagon equation Deligne and A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.243111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4aa484c-fa37-4bfe-a9e7-6577a49269c4 · outbound

This paper cites Drinfeld.

Double shuffle relations imply the infinitesimal hexagon equation Drinfeld

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.318383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac23e5ca-b3be-46f7-b30f-ca2ba28095c4 · outbound

This paper cites an unresolved cited work.

Double shuffle relations imply the infinitesimal hexagon equation Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.400741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ab47abd-e83a-4f5d-bc4b-d2efaad23209 · outbound

This paper cites Enriquez and H.

Double shuffle relations imply the infinitesimal hexagon equation Enriquez and H

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.463094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1e02775-aed3-4f5d-8b3c-a1ced9ac7f8b · outbound

This paper cites an unresolved cited work.

Double shuffle relations imply the infinitesimal hexagon equation Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.544936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47ce5401-92bc-420e-b5da-c3ef297960e7 · outbound

This paper cites an unresolved cited work.

Double shuffle relations imply the infinitesimal hexagon equation Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.616869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75c275ea-89d7-4abe-8936-4e1cc51c4302 · outbound

This paper cites Ihara, M.

Double shuffle relations imply the infinitesimal hexagon equation Ihara, M

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.701782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17d60132-ed83-484e-8379-cf8030ca4629 · outbound

This paper cites an unresolved cited work.

Double shuffle relations imply the infinitesimal hexagon equation Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.776581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bec37692-ce13-4958-b771-0378c9218fd2 · outbound

This paper cites Kawamura.

Double shuffle relations imply the infinitesimal hexagon equation Kawamura

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.832926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e3e3fb2-1386-4a3d-96c0-1c5d2b2763f8 · outbound

This paper cites an unresolved cited work.

Double shuffle relations imply the infinitesimal hexagon equation Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-31T15:55:25.901398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fc83ea4-9cb4-4037-904e-84c72c9d6156 · outbound

This paper cites The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra.

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.

Pith citing papers

No inbound Pith citation observations are available.