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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:13.689594Z digest=sha256:b8e69175e9d60735b65f2b38235279b6fe828247707f1da5c3eb49e24b3148c9

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:13.784239Z digest=sha256:4d79528266283af0085fef9f2296eac3b4e09379e58f60b914b7aa74a30e0ab8

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:13.906267Z digest=sha256:865dd71ec9c8b053c07046e08222533903b5796f3f6e73d9c8732dcb5dfe91e9

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:14.062403Z digest=sha256:fe97a1fa88f21208a5f3bcd1c263be7d692fea7d836ee5816e71deb046e2b4a0

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:14.195166Z digest=sha256:abb6cf602a00744bb34feb7249062d359d4b6661f56622c132860317aa5d8dc1

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:14.319618Z digest=sha256:b0cb52fed661087315e70d68f2415771c86c04e37168abf9b74b3b972f765a9d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:14.410411Z digest=sha256:2e7e56ab88e5426c5afa7c11a046de4bf197aa9696260c8eee25af035337ff88

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:14.508833Z digest=sha256:f09344c7fc8d0e80ebba43005af0d92a4b34cb82ac0e6311e76492389388021e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:14.660900Z digest=sha256:c7a30785645ddd24cc89ed3bce078640d0b2c40f669814832509d7ffafb7e4f7

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:14.764393Z digest=sha256:48d4c204853a2a87b512440774a1ca180fa0effb68bd3d08cbf1c54993b257e2

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:14.932090Z digest=sha256:8524215cb006f45880e734ad6970c0ebfd3b9c5c0c6985a386a53b136cf1e852

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:15.029984Z digest=sha256:49ba99f3f72b7ede8756547157da4da9e29b359c32793a086fe5fd107560cb01

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:15.149548Z digest=sha256:c18e995e23a0778f8552be1cf1371fb72ee453d791d577c851cc71e81f3f2906

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:15.254644Z digest=sha256:9919cc95cdfd1f1c1349687420e8cf1dfcb49df0f7d8922ded1b105ee69062dd

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:15.346345Z digest=sha256:3cd6198097a203211ee04bf607d4ff0a8a290613ea30a38eb1be4d06dcebabe0

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:15.478794Z digest=sha256:aeaa5ef5882c3d0ed031e77b963091de7f6959637a41bfeadbe5a6d20b18d575

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:20:15.608862Z digest=sha256:2ab2c74f171eccff8fa2a2e7f38377fa252b96b6a1bde3a9cd75192bb61b8c51

Pith citing papers

No inbound Pith citation observations are available.