Paper Citation Record · LEDGER

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 3 inbound Pith citation observations for arXiv:2505.14724.

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

pith.paper-citation-record.v1
2505.14724 v3

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:20:17.904747Z

measured 24 of 24 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:57:19.145876Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-04T22:36:10.326297Z

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy16
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9638187d-0eb6-428f-9da8-db5bb3fcd1d0 · outbound

This paper cites Ashihara, Calculating the fundamental biquandles of surface links from their ch-diagrams, J.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Ashihara, Calculating the fundamental biquandles of surface links from their ch-diagrams, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.291235Z

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.

Observation c3946be8-5673-4604-b094-73843f0fa62c · outbound

This paper cites Ashihara, Fundamental biquandles of ribbon 2 -knots and ribbon torus-knots with isomorphic fundamental quandles, Journal of Knot Theory and Its Ramifications 23, no.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Ashihara, Fundamental biquandles of ribbon 2 -knots and ribbon torus-knots with isomorphic fundamental quandles, Journal of Knot Theory and Its Ramifications 23, no

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.274454Z

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.

Observation 2c94dbcc-c160-4e07-8c46-e8bbd02a45ac · outbound

This paper cites Carter, M.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Carter, M

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T20:20:17.814050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc799b0a-72ff-44e9-a5d4-f3b3e5b299d3 · outbound

This paper cites Hughes, S.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Hughes, S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.248739Z

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.

Observation dda892d8-e9a4-4cd4-ae1c-57da98a838e7 · outbound

This paper cites Jab onowski, Minimal generating sets of moves for surfaces immersed in the four-space, J.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Jab onowski, Minimal generating sets of moves for surfaces immersed in the four-space, J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T20:20:17.824083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b72cc7cd-b97c-400f-9d95-625ef0fc599a · outbound

This paper cites Joung, J.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Joung, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.219755Z

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.

Observation 015a3b94-fc4a-4f23-89b2-af8c1f473b34 · outbound

This paper cites Joung, J.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Joung, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.197722Z

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.

Observation e7f05588-9b93-48a9-a08a-034ad27833aa · outbound

This paper cites Joung and S.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Joung and S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.178209Z

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.

Observation a40eaefc-6c72-4710-970c-c2623ff82bac · outbound

This paper cites Kaestner, S.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Kaestner, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.157235Z

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.

Observation 49cd767e-23fb-4c30-bbab-d59559b0f4c0 · outbound

This paper cites Kamada, Surface-Knots in 4 -Space, Springer Monographs in Mathematics, Springer (2017).

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Kamada, Surface-Knots in 4 -Space, Springer Monographs in Mathematics, Springer (2017)

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T20:20:17.850841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3b145be-889a-43c3-ba7b-b906aa16291c · outbound

This paper cites Kamada, A.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Kamada, A

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T20:20:17.855561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27b90d6e-5d1f-41db-bb79-dab980ce6608 · outbound

This paper cites Kauffman and D.E.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Kauffman and D.E

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T20:20:17.860377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c761104-3385-4449-81e1-81da549762c1 · outbound

This paper cites Magnus, A.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Magnus, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.102345Z

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.

Observation aedffc3e-99a1-4ec5-b56c-f0eb5f48c75a · outbound

This paper cites Problems on Low-dimensional Topology, 2016 (Intelligence of Low-dimensional Topology).

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Problems on Low-dimensional Topology, 2016 (Intelligence of Low-dimensional Topology)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.084084Z

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.

Observation ee0a1034-aae2-43bc-a172-7333e5cc5b94 · outbound

This paper cites Robinson, A Course in the Theory of Groups, 2nd ed., GTM 80, Springer (1996).

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Robinson, A Course in the Theory of Groups, 2nd ed., GTM 80, Springer (1996)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.066284Z

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.

Observation 82af27a2-b9d6-4ef6-b961-40360b251fba · outbound

This paper cites Ruppik, PhD thesis: Casson-Whitney unknotting, Deep slice knots and Group trisections of knotted surface type, Rheinische Friedrich-Wilhelms-Universitt Bonn (2022).

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Ruppik, PhD thesis: Casson-Whitney unknotting, Deep slice knots and Group trisections of knotted surface type, Rheinische Friedrich-Wilhelms-Universitt Bonn (2022)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.046120Z

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.

Observation 0bc943e9-7848-407e-acdf-d4679c6d0655 · outbound

This paper cites Suciu, Infinitely many ribbon knots with the same fundamental group, Mathematical Proceedings of the Cambridge Philosophical Society 98.3 (1985), 481--492.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Suciu, Infinitely many ribbon knots with the same fundamental group, Mathematical Proceedings of the Cambridge Philosophical Society 98.3 (1985), 481--492

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.024939Z

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.

Observation 6cdc5c81-a640-4b4a-b733-579fc4933719 · outbound

This paper cites Tanaka, Inequivalent surface-knots with the same knot quandle, Topology Appl.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Tanaka, Inequivalent surface-knots with the same knot quandle, Topology Appl

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:18.003230Z

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.

Observation 39751582-a49a-49d5-a646-b386c832caab · outbound

This paper cites Tanaka and Y.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Tanaka and Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:17.980246Z

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.

Observation 497b7919-9971-4ec8-8d93-3156889796af · outbound

This paper cites Yajima, On simply knotted spheres in R ^4 , Osaka J.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Yajima, On simply knotted spheres in R ^4 , Osaka J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:17.962713Z

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.

Observation 789a936c-9ea2-4452-bd84-ac139a4f3572 · outbound

This paper cites Yoshikawa, An enumeration of surfaces in four-space, Osaka J.

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots Yoshikawa, An enumeration of surfaces in four-space, Osaka J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:20:17.946436Z

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.

Pith citing papers

Observation f6643813-13b4-4fec-83e7-635007778c3a · inbound

Biquandle cocycle condition for invariants of immersed surface-links in the four-space cites this paper.

Biquandle cocycle condition for invariants of immersed surface-links in the four-space On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T17:57:19.145876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbee2bd0-e3ea-47a8-a481-cb7dcce4376d · inbound

The knot quandles of Suciu's ribbon $n$-knots and automorphisms on the free group of rank two cites this paper.

The knot quandles of Suciu's ribbon $n$-knots and automorphisms on the free group of rank two On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-04T22:36:10.330732Z

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.

Observation 8e74f466-7df9-4bd8-9317-251aa443cf01 · inbound

Fundamental Quandles Do Not Determine the First Postnikov Invariant of 2-Knots cites this paper.

Fundamental Quandles Do Not Determine the First Postnikov Invariant of 2-Knots On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T11:59:40.335599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.