Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:18:14.656976Z
Paper Citation Record · LEDGER
Invariants of rational links represented by reduced alternating diagrams
As of 16 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.