Paper Citation Record · LEDGER

Knot invariants from representations of braids by automorphisms of a free group

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2505.22403.

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

pith.paper-citation-record.v1
2505.22403 v3

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:20:15.608862Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

17 of 17 outbound references displayed

verified exact0
verified fuzzy11
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 303ce356-431a-40db-b426-24a8ee438590 · outbound

This paper cites Bigelow,The Burau representation is not faithful forn= 5, Geom.

Knot invariants from representations of braids by automorphisms of a free group Bigelow,The Burau representation is not faithful forn= 5, Geom

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:19.936127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 332442d5-d956-4b08-b7f4-f55d78841318 · outbound

This paper cites Bigelow,Braid groups are linear, J.

Knot invariants from representations of braids by automorphisms of a free group Bigelow,Braid groups are linear, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:19.655935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 09eacde8-9ad5-4689-af37-fb5e6331c81d · outbound

This paper cites an unresolved cited work.

Knot invariants from representations of braids by automorphisms of a free group Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:19.370839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ebce528b-1211-4e54-afa4-4f2e042f7f9c · outbound

This paper cites an unresolved cited work.

Knot invariants from representations of braids by automorphisms of a free group Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:19.083946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 45362cf6-b362-4a9e-a364-be800d814303 · outbound

This paper cites Burau, ¨Uber Zopfgruppen und gleichsinnig verdrillte Verkettungen, Abh.

Knot invariants from representations of braids by automorphisms of a free group Burau, ¨Uber Zopfgruppen und gleichsinnig verdrillte Verkettungen, Abh

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:18.682996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d477c842-6af6-48ad-8f59-428bef121d7e · outbound

This paper cites an unresolved cited work.

Knot invariants from representations of braids by automorphisms of a free group Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:18.345838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ef06f92-fd0a-4118-b7b6-9e45cc4a97a9 · outbound

This paper cites an unresolved cited work.

Knot invariants from representations of braids by automorphisms of a free group Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:18.055866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6d5ed407-d013-4997-89aa-43911dff70a1 · outbound

This paper cites Krammer,Braid groups are linear, Ann.

Knot invariants from representations of braids by automorphisms of a free group Krammer,Braid groups are linear, Ann

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:17.866594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fa6265b4-e2f8-48ad-9dcf-c31362eea168 · outbound

This paper cites an unresolved cited work.

Knot invariants from representations of braids by automorphisms of a free group Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:17.552640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b9987d97-3340-4712-a3a1-81ad209e4471 · outbound

This paper cites Magnus, A.

Knot invariants from representations of braids by automorphisms of a free group Magnus, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:17.430450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3aa76f18-3afd-47fe-9fb8-74d1eb929e1b · outbound

This paper cites an unresolved cited work.

Knot invariants from representations of braids by automorphisms of a free group Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:17.190619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ed694e59-36ab-4c2a-a1de-8ec5d9278380 · outbound

This paper cites Olshanskii, V.

Knot invariants from representations of braids by automorphisms of a free group Olshanskii, V

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:16.905132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f8b462b5-67d3-41c2-af3d-a8e9e04eec24 · outbound

This paper cites Pourkia,A basicn-dimensional representation of Artin braid groupB n, and a general Burau representation, Mathematics and Statistics10(2022), 145–152.

Knot invariants from representations of braids by automorphisms of a free group Pourkia,A basicn-dimensional representation of Artin braid groupB n, and a general Burau representation, Mathematics and Statistics10(2022), 145–152

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:16.733062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b3efdeeb-61f4-459e-9c5a-956b4598e309 · outbound

This paper cites Sakuma,A note on Wada’s group invariants of links, Proc.

Knot invariants from representations of braids by automorphisms of a free group Sakuma,A note on Wada’s group invariants of links, Proc

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:16.440213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1273a250-ae29-454e-8aa7-74226f9dcda6 · outbound

This paper cites Shpilrain,On monomorphisms of free groups, Arch.

Knot invariants from representations of braids by automorphisms of a free group Shpilrain,On monomorphisms of free groups, Arch

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:16.160463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 45a6b603-5127-4177-9bd2-57d69afd5b90 · outbound

This paper cites Shpilrain,Representing braids by automorphisms, Internat.

Knot invariants from representations of braids by automorphisms of a free group Shpilrain,Representing braids by automorphisms, Internat

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:15.973993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fd433591-1645-4605-93fa-d059985cd684 · outbound

This paper cites Wada,Group invariants of links, Topology31(1992), 399–406.

Knot invariants from representations of braids by automorphisms of a free group Wada,Group invariants of links, Topology31(1992), 399–406

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:15.776179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.