Pith. sign in

Paper Citation Record · LEDGER

The Betti side of the double shuffle theory. III. Bitorsor structures

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.00444.

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

pith.paper-citation-record.v1
1908.00444 v5

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:58:47.666051Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

14 of 14 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f38ce8e7-7290-4db5-a39b-223b6bb658c1 · outbound

This paper cites Anderson, Exactness properties of pro-finite functors , Topology 13 (1974), 229--239.

The Betti side of the double shuffle theory. III. Bitorsor structures Anderson, Exactness properties of pro-finite functors , Topology 13 (1974), 229--239

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:48.523292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.314624Z digest=sha256:009ff8b0c72816b397b2cb993df7db060eb6bee62d4ea1287cefed4265879361

Observation ceaf1b46-6851-4300-92d7-068c62af1102 · outbound

This paper cites Andr\'e, Une introduction aux motifs (motifs purs, motifs mixtes, p\'eriodes).

The Betti side of the double shuffle theory. III. Bitorsor structures Andr\'e, Une introduction aux motifs (motifs purs, motifs mixtes, p\'eriodes)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:48.510714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.419345Z digest=sha256:18a2bf91436c5673b61517a3a3be44c7935e67a6859f1e0c099de116deb3371a

Observation 67e0dafd-b63b-4479-b066-7eeac6238d5f · outbound

This paper cites Bourbaki, \'El\'ements de math\'ematique.

The Betti side of the double shuffle theory. III. Bitorsor structures Bourbaki, \'El\'ements de math\'ematique

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:48.440537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.424338Z digest=sha256:8421d5d52e723ce626533a579182fb5c87deaf7e6a5df368f9fd88573195a3c9

Observation c99676c7-6db5-4a3f-b79d-45cce43fb231 · outbound

This paper cites Drinfeld, On quasitriangular quasi-Hopf algebras and a group closely connected with Gal ( Q / Q ) , Leningrad Math.

The Betti side of the double shuffle theory. III. Bitorsor structures Drinfeld, On quasitriangular quasi-Hopf algebras and a group closely connected with Gal ( Q / Q ) , Leningrad Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:48.424846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.428569Z digest=sha256:f0d257a4d55e0ea2a6c1e1d300857a5f56cb40eb62c499e94353139e3c1c19eb

Observation 6749a845-0435-4c49-8779-3962d9adfb6e · outbound

This paper cites Deligne, A.

The Betti side of the double shuffle theory. III. Bitorsor structures Deligne, A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:48.307341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.470880Z digest=sha256:c7c410aba558a366cf0e3f3ced4d270a42dc00f817b8ade51b0287573be181ed

Observation d81d44d0-2769-4a29-98e2-ae2bcdeb6d42 · outbound

This paper cites Enriquez, H.

The Betti side of the double shuffle theory. III. Bitorsor structures Enriquez, H

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:48.294666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.537206Z digest=sha256:3843fbbaf310bdf6ccd24d7fa7397bcbfbda01f8a74aff4387c612e6ad5da6f2

Observation ed2de981-da68-462e-8b38-dcefe38368c8 · outbound

This paper cites The Betti side of the double shuffle theory. I. The harmonic coproducts.

The Betti side of the double shuffle theory. III. Bitorsor structures The Betti side of the double shuffle theory. I. The harmonic coproducts

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:58:47.829854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.541878Z digest=sha256:639e1431448c7a817186a651097f441911240edeb61f511571107abb71c4bfc5

Observation 7d4a39f4-9086-4373-a3e2-d6dce11a02d6 · outbound

This paper cites The Betti side of the double shuffle theory. II. Double shuffle relations for associators.

The Betti side of the double shuffle theory. III. Bitorsor structures The Betti side of the double shuffle theory. II. Double shuffle relations for associators

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:58:47.811494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.546332Z digest=sha256:f1cb8e1ff95cae7f95a427f4da49b7896129e39de42ddf396d31ff6fdbf46b9c

Observation 839168c4-85f8-42ce-8375-45b955db6536 · outbound

This paper cites Furusho, Double shuffle relation for associators.

The Betti side of the double shuffle theory. III. Bitorsor structures Furusho, Double shuffle relation for associators

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:48.216684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.553261Z digest=sha256:3ff314706a75dd56f0ce2ab5c0e1cc981bd5722ba8ca2fc7d9e057ec85c8265c

Observation 13b6f88c-425c-40ab-8159-5d2e8c1edd55 · outbound

This paper cites Giraud, Cohomologie non ab\' e lienne.

The Betti side of the double shuffle theory. III. Bitorsor structures Giraud, Cohomologie non ab\' e lienne

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:48.122146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.648683Z digest=sha256:89ae1e20cd12e5629cb93183736d0e3e12711c010d4deed2372fa10b95a24f3f

Observation 66948211-4ba6-4079-965b-1280da79e0cc · outbound

This paper cites an unresolved cited work.

The Betti side of the double shuffle theory. III. Bitorsor structures Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:58:48.077610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.653634Z digest=sha256:4ecc634fb82b2f7636a148bce8add23ea13ab883501d65b90ba02d29cc7eee87

Observation 9238949d-8382-4e96-8dff-316f190c2f3f · outbound

This paper cites Ihara, Automorphisms of pure sphere braid groups and Galois representations , The Grothendieck Festschrift, Vol.

The Betti side of the double shuffle theory. III. Bitorsor structures Ihara, Automorphisms of pure sphere braid groups and Galois representations , The Grothendieck Festschrift, Vol

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:47.982266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.657536Z digest=sha256:29038e1a860d3d92d76f7f88c4e48cc69de5430c8ea0f5aeaaab100e316406c3

Observation 6d27bdfd-59dc-4b74-906b-a9d6c0612661 · outbound

This paper cites Racinet, Doubles m\'elanges des polylogarithmes multiples aux racines de l'unit\'e.

The Betti side of the double shuffle theory. III. Bitorsor structures Racinet, Doubles m\'elanges des polylogarithmes multiples aux racines de l'unit\'e

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:47.969719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.662093Z digest=sha256:f407b9bdb1c0bbd29ad8a0b69cf7e50ac6f07b52c6c8f5796d9949dbbad57b74

Observation cb9e837c-6f52-42b9-8ab1-a5177d452829 · outbound

This paper cites Serre, Cohomologie galoisienne.

The Betti side of the double shuffle theory. III. Bitorsor structures Serre, Cohomologie galoisienne

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:58:47.909550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:58:47.666051Z digest=sha256:a059d7d704bf60ab265ab4e0b54ec1d3e6df708fc502ae58f9625035547bcb87

Pith citing papers

No inbound Pith citation observations are available.