Paper Citation Record · LEDGER

On the structure of the singular triplet monoid and its virtual extension

As of 4 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2606.29865.

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

pith.paper-citation-record.v1
2606.29865 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T04:00:08.473630Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+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 exact3
verified fuzzy0
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 47be661f-ff59-482d-8075-2720510e6f81 · outbound

This paper cites Artin: Theorie der z¨ opfe.

On the structure of the singular triplet monoid and its virtual extension Artin: Theorie der z¨ opfe

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3cc662b-90ef-48b9-87e3-2806075186a2 · outbound

This paper cites Artin: Theory of braids.

On the structure of the singular triplet monoid and its virtual extension Artin: Theory of braids

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1efdc1ea-bca7-40f1-9022-28c7a7ad0d29 · outbound

This paper cites Baez: Link invariants of finite type and perturbation theory.

On the structure of the singular triplet monoid and its virtual extension Baez: Link invariants of finite type and perturbation theory

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b61636df-dfe4-4320-a8f7-63bc094d0439 · outbound

This paper cites Bardakov, N.

On the structure of the singular triplet monoid and its virtual extension Bardakov, N

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fe28cd4-a5f4-4d01-a8c1-5495110bb7bc · outbound

This paper cites Birman: New points of view in knot theory.

On the structure of the singular triplet monoid and its virtual extension Birman: New points of view in knot theory

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96032458-c2a3-42c1-9f4f-bbaba5a7113e · outbound

This paper cites Caprau, A.

On the structure of the singular triplet monoid and its virtual extension Caprau, A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e2f2a2c-eda7-480e-9fc7-e46c6ff7875a · outbound

This paper cites Caprau, S.

On the structure of the singular triplet monoid and its virtual extension Caprau, S

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0e6080e-fa2a-4d7d-a2c8-64e8ea184912 · outbound

This paper cites Caprau, A.

On the structure of the singular triplet monoid and its virtual extension Caprau, A

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 978a21c4-99b3-4cde-a1be-c80317317d94 · outbound

This paper cites Caprau and M.

On the structure of the singular triplet monoid and its virtual extension Caprau and M

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-01T15:15:48.052009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 55b6108c-dfa6-4a3c-928b-8c2e8b271871 · outbound

This paper cites an unresolved cited work.

On the structure of the singular triplet monoid and its virtual extension Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 059a86c6-f5d1-4ff9-9c2f-3a9dbb05e742 · outbound

This paper cites Khovanov: RealK(π,1) arrangements from finite root systems.

On the structure of the singular triplet monoid and its virtual extension Khovanov: RealK(π,1) arrangements from finite root systems

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dea0d3d0-01eb-4225-a1e0-df96636407a8 · outbound

This paper cites Khovanov: Doodle groups.

On the structure of the singular triplet monoid and its virtual extension Khovanov: Doodle groups

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6a4ee01-a223-4857-ae9f-a472d7372919 · outbound

This paper cites Nasser: Local extensions and Φ-type extensions of some local representations of the braid groupB n to the singular braid monoidSM n.

On the structure of the singular triplet monoid and its virtual extension Nasser: Local extensions and Φ-type extensions of some local representations of the braid groupB n to the singular braid monoidSM n

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-30T04:00:08.473630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 978e18bd-1dac-4a40-b952-5782c2cefefd · outbound

This paper cites Nasser and N.

On the structure of the singular triplet monoid and its virtual extension Nasser and N

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-01T15:15:48.054621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 92ff7cab-0cae-482f-bc2a-a6c06d38e5c9 · outbound

This paper cites Nasser, N.

On the structure of the singular triplet monoid and its virtual extension Nasser, N

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-01T15:15:48.057299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

No inbound Pith citation observations are available.