Paper Citation Record · LEDGER

Invariants of rational links represented by reduced alternating diagrams

As of 18 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.09458.

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

pith.paper-citation-record.v1
1908.09458 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:18:14.656976Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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 exact0
verified fuzzy15
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b822ef9-9fd6-46b3-9354-6c88dda0b3cd · outbound

This paper cites Burde, H.

Invariants of rational links represented by reduced alternating diagrams Burde, H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.894481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 326b2b30-6bb6-43dd-be3b-ffc64535f559 · outbound

This paper cites Conway, An enumeration of knots and links, and some of their algebraic properties, 1970 Computational Problems in Abstract Algebra (Proc.

Invariants of rational links represented by reduced alternating diagrams Conway, An enumeration of knots and links, and some of their algebraic properties, 1970 Computational Problems in Abstract Algebra (Proc

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.882989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9b17938e-6d04-4ff1-85cc-b700ee54349f · outbound

This paper cites Cromwell, Knots and links, Cambridge University Press, 2004.

Invariants of rational links represented by reduced alternating diagrams Cromwell, Knots and links, Cambridge University Press, 2004

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.870850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 05748bef-21c5-4a40-b175-d5fb64c5967d · outbound

This paper cites an unresolved cited work.

Invariants of rational links represented by reduced alternating diagrams Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:14.857551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4f52088d-32f0-42a7-9a6f-f7658ded30ef · outbound

This paper cites Duzhin and M.

Invariants of rational links represented by reduced alternating diagrams Duzhin and M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.846516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7812a00b-4601-4990-b0f2-d527c2a0bf05 · outbound

This paper cites Euler, Elements of algebra, Translated from the German by John Hewlett, Reprint of the 1840 edition, with an introduction by C.

Invariants of rational links represented by reduced alternating diagrams Euler, Elements of algebra, Translated from the German by John Hewlett, Reprint of the 1840 edition, with an introduction by C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.834416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a791bc17-2864-443a-904e-0f9bd2b1cdac · outbound

This paper cites Franks and R.

Invariants of rational links represented by reduced alternating diagrams Franks and R

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.820928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e1fc14cb-fea0-40c7-8786-d618e872d7d1 · outbound

This paper cites Freyd, D.

Invariants of rational links represented by reduced alternating diagrams Freyd, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.806976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b6738d38-fe1f-412f-bdd6-019871c20162 · outbound

This paper cites Goldman, and L.H.

Invariants of rational links represented by reduced alternating diagrams Goldman, and L.H

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.790118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fd307f55-2e94-4f54-90d9-1e1aa13e8746 · outbound

This paper cites Kauﬀman, and S.

Invariants of rational links represented by reduced alternating diagrams Kauﬀman, and S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.776856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c5d04378-684c-428f-8c5e-d303850939da · outbound

This paper cites Lickorish and Kenneth C.

Invariants of rational links represented by reduced alternating diagrams Lickorish and Kenneth C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.763850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2f1ca1d1-cad6-47fe-9df2-668d9b38d80f · outbound

This paper cites Morton Seifert Circles and Knot Polynomials , Math.

Invariants of rational links represented by reduced alternating diagrams Morton Seifert Circles and Knot Polynomials , Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.750400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a11e9fef-dec2-4e02-84d2-b7b8da26d2d4 · outbound

This paper cites Murasugi On The Braid Index of Alternating Links, Trans.

Invariants of rational links represented by reduced alternating diagrams Murasugi On The Braid Index of Alternating Links, Trans

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.738208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 85f13388-b903-4343-99bd-62934232a0c9 · outbound

This paper cites Przytycki and P.

Invariants of rational links represented by reduced alternating diagrams Przytycki and P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.723865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a7d8430a-63b4-49bc-9856-8427f8eeb135 · outbound

This paper cites Schubert, Knoten mit zwei Br¨ ucken, Mathematische Zeitschrift,65 (1956), 133–170.

Invariants of rational links represented by reduced alternating diagrams Schubert, Knoten mit zwei Br¨ ucken, Mathematische Zeitschrift,65 (1956), 133–170

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.709127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b0633c44-810c-4919-9087-6a29a7bf9e32 · outbound

This paper cites Yamada The Minimal Number of Seifert Circles Equals The Braid Index of A Link , Invent.

Invariants of rational links represented by reduced alternating diagrams Yamada The Minimal Number of Seifert Circles Equals The Braid Index of A Link , Invent

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:14.694764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.