Paper Citation Record · LEDGER

Invariants of the Colored Braid Groupoid

As of 9 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2606.20473.

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

pith.paper-citation-record.v1
2606.20473 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T14:42:44.844239Z

measured 16 of 16 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 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

16 of 16 outbound references displayed

verified exact4
verified fuzzy0
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d7145647-fdee-4e91-9e11-fbb46d348951 · outbound

This paper cites Aurenhammer, R.

Invariants of the Colored Braid Groupoid Aurenhammer, R

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94c8af42-1d7b-4293-b4ea-40adedf1896e · outbound

This paper cites Manturov,Knot Theory, Second Edition, CRC Press, 2018, 580 pp.

Invariants of the Colored Braid Groupoid Manturov,Knot Theory, Second Edition, CRC Press, 2018, 580 pp

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbdae43a-d6b6-471b-81b3-a85a18dc6697 · outbound

This paper cites an unresolved cited work.

Invariants of the Colored Braid Groupoid Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 544ac3db-ce8b-491f-8ff9-165bd9d8f657 · outbound

This paper cites слипаться.

Invariants of the Colored Braid Groupoid слипаться

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8fff11c-96de-416f-9bbc-c3f60b18f095 · outbound

This paper cites an unresolved cited work.

Invariants of the Colored Braid Groupoid Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4836ade-861a-4bcb-be1e-f0e30cbf8780 · outbound

This paper cites Из определения триангуляции Делоне следует, что ее внешняя грань не всегда треугольная, поэтому триангуляция Делоне не всегда являет- ся триангуляцией в строгом понимании.

Invariants of the Colored Braid Groupoid Из определения триангуляции Делоне следует, что ее внешняя грань не всегда треугольная, поэтому триангуляция Делоне не всегда являет- ся триангуляцией в строгом понимании

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b59712f-4a11-403d-a741-12bb0852d6d6 · outbound

This paper cites Aurenhammer, R.

Invariants of the Colored Braid Groupoid Aurenhammer, R

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46ac4bad-7e24-446a-bbce-cc4f5c7f8885 · outbound

This paper cites Manifolds of Triangulations, braid groups of manifolds and the groups $\Gamma_{n}^{k}$.

Invariants of the Colored Braid Groupoid Manifolds of Triangulations, braid groups of manifolds and the groups $\Gamma_{n}^{k}$

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-04T06:09:38.105435Z

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 63055dbb-7ec1-42cd-9492-cbdfd15d13a9 · outbound

This paper cites an unresolved cited work.

Invariants of the Colored Braid Groupoid Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c469ecf-e614-4b58-82dc-320cadb0f713 · outbound

This paper cites Liftable braids and the coloured braid groupoid.

Invariants of the Colored Braid Groupoid Liftable braids and the coloured braid groupoid

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-04T06:09:38.102588Z

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 b352f96d-e1fd-48aa-b44e-2d5b15510f67 · outbound

This paper cites Non-Reidemeister Knot Theory and Its Applications in Dynamical Systems, Geometry, and Topology.

Invariants of the Colored Braid Groupoid Non-Reidemeister Knot Theory and Its Applications in Dynamical Systems, Geometry, and Topology

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-07-04T06:09:38.099720Z

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 d4874383-d8b4-4075-b2a7-c55b83fd79a5 · outbound

This paper cites an unresolved cited work.

Invariants of the Colored Braid Groupoid Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 663037a8-21f6-4e3b-8c68-a82fcfe75558 · outbound

This paper cites Manturov, D.

Invariants of the Colored Braid Groupoid Manturov, D

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e0858d1-15be-4928-a9f1-47bda0129a87 · outbound

This paper cites The groups $\Gamma_{n}^{4}$, braids, and $3$-manifolds.

Invariants of the Colored Braid Groupoid The groups $\Gamma_{n}^{4}$, braids, and $3$-manifolds

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-04T06:09:38.099849Z

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 154ccb13-bf16-4df0-bb48-4100a681f2a7 · outbound

This paper cites an unresolved cited work.

Invariants of the Colored Braid Groupoid Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e03e08ac-d458-46de-9df0-7bba8d7d07eb · outbound

This paper cites Ohtsuki,Quantum Invariants: A Study of Knots, 3-Manifolds, and Their Sets, World Scientific Publishing, 2002, 508 pp.

Invariants of the Colored Braid Groupoid Ohtsuki,Quantum Invariants: A Study of Knots, 3-Manifolds, and Their Sets, World Scientific Publishing, 2002, 508 pp

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T14:42:44.844239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.