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Paper Citation Record · LEDGER

Functoriality of the Klein-Williams Invariant and Universality Theory

As of 7 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2505.22376.

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

pith.paper-citation-record.v1
2505.22376 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:21:03.509809Z

measured 21 of 21 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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d27140b9-60a1-4bca-957a-75b39ffe3701 · outbound

This paper cites an unresolved cited work.

Functoriality of the Klein-Williams Invariant and Universality Theory Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:21:07.739893Z

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.

source=pdf_text observed=2026-08-07T13:21:01.225752Z digest=sha256:e33db2f8cb9b0d09e22bce535d92c682b568e38c6965363fee407201d972fa67

Observation 24d04a13-166b-4274-baf8-99bb1597b5d4 · outbound

This paper cites Brown,The Lefschetz fixed point theorem, Scott, Foresman, 1971.

Functoriality of the Klein-Williams Invariant and Universality Theory Brown,The Lefschetz fixed point theorem, Scott, Foresman, 1971

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:07.620531Z

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.

source=pdf_text observed=2026-08-07T13:21:01.336504Z digest=sha256:59418f4c27f89698c8ad350fbd95075186ac34201e990a480f809c145b4917b0

Observation a7e54172-63b1-4d64-8f6b-ccb9b8f58d61 · outbound

This paper cites Dold,Fixed point index and fixed point theorem for euclidean neighborhood retracts, Topol- ogy4(1965), no.

Functoriality of the Klein-Williams Invariant and Universality Theory Dold,Fixed point index and fixed point theorem for euclidean neighborhood retracts, Topol- ogy4(1965), no

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:07.479027Z

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.

source=pdf_text observed=2026-08-07T13:21:01.503038Z digest=sha256:512336f33cf7ee80f96d84d3c08fc7ac753712c80a38c4a961d3a37a8f8380cb

Observation 946efe6a-6789-4099-93aa-0910a53e9cc3 · outbound

This paper cites an unresolved cited work.

Functoriality of the Klein-Williams Invariant and Universality Theory Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:21:07.319329Z

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.

source=pdf_text observed=2026-08-07T13:21:01.635681Z digest=sha256:e7d932e4787c83c5dd8baf5a2563354fa0cbbfc2f3c0ebf804141ca47d9e5cd7

Observation 6d927493-5114-4a19-a0c3-5101f5e2a79d · outbound

This paper cites Geoghegan,Nielsen fixed point theory, a chapther of ”Handbook of Geometric Topology” (2003), 499–521.

Functoriality of the Klein-Williams Invariant and Universality Theory Geoghegan,Nielsen fixed point theory, a chapther of ”Handbook of Geometric Topology” (2003), 499–521

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:07.157082Z

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.

source=pdf_text observed=2026-08-07T13:21:01.789578Z digest=sha256:d01b25c2ceba50e9c6b6f4d136d5c6abfbcb51f2e01949fbe93813d3dd99c778

Observation b36058e2-7b53-439b-9900-28d26e47a16f · outbound

This paper cites an unresolved cited work.

Functoriality of the Klein-Williams Invariant and Universality Theory Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:21:06.952566Z

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.

source=pdf_text observed=2026-08-07T13:21:01.953194Z digest=sha256:04b3d242e87a75c68551ea6fd11f4a2133ff638dca1fec847b30820e5b22c513

Observation a1286b5b-e3c7-4a20-8b6d-ed7c86eae827 · outbound

This paper cites Jiang,Lectures on Nielsen fixed point theory, Contemporary mathematics - American Mathematical Society, American Mathematical Society, 1983.

Functoriality of the Klein-Williams Invariant and Universality Theory Jiang,Lectures on Nielsen fixed point theory, Contemporary mathematics - American Mathematical Society, American Mathematical Society, 1983

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:06.789202Z

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.

source=pdf_text observed=2026-08-07T13:21:02.093247Z digest=sha256:b527ed961b2d65763fb4efba46120524b12aa83cbaffa7b6a715e17da8674391

Observation ee575941-687b-4dbb-8e65-69363b14924a · outbound

This paper cites an unresolved cited work.

Functoriality of the Klein-Williams Invariant and Universality Theory Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:21:06.608807Z

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.

source=pdf_text observed=2026-08-07T13:21:02.172108Z digest=sha256:c3cf7fb4bc7cf14e3b42d876bc2766850f6296f4c5d38653655a72dcb9fba00d

Observation 808acd58-989a-4117-9b1f-b92e8ef4edab · outbound

This paper cites K¨ u¸ c¨ uk,On the Klein and Williams conjecture for the equivariant fixed point problem,.

Functoriality of the Klein-Williams Invariant and Universality Theory K¨ u¸ c¨ uk,On the Klein and Williams conjecture for the equivariant fixed point problem,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:06.303980Z

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.

source=pdf_text observed=2026-08-07T13:21:02.293163Z digest=sha256:3a06f9fcb0937c333389f154e56819bdb899506e4def42dd8e8d5b3e8af0be99

Observation ab59ba87-ae8e-456b-a43d-5118e49e6653 · outbound

This paper cites an unresolved cited work.

Functoriality of the Klein-Williams Invariant and Universality Theory Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:21:06.054861Z

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.

source=pdf_text observed=2026-08-07T13:21:02.409336Z digest=sha256:d35959a87bf1df5b4bfdb256faf07fd2d2276a1eb2ec6b327754513765983f92

Observation 61299e02-30b9-4a16-940f-ee9d1000bc35 · outbound

This paper cites L¨ uck,Transformation groups and algebraic K-theory, 1989.

Functoriality of the Klein-Williams Invariant and Universality Theory L¨ uck,Transformation groups and algebraic K-theory, 1989

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:05.872579Z

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.

source=pdf_text observed=2026-08-07T13:21:02.533562Z digest=sha256:eb33428ff14f37d212d9f6866bd0a501a133e4954a5ce98fb81d480e420b0270

Observation b9693809-f1ef-48bc-93f7-b3cd8c346f43 · outbound

This paper cites L¨ uck,The universal functorial lefschetz invariant, Fundamenta Mathematicae161 (1999), no.

Functoriality of the Klein-Williams Invariant and Universality Theory L¨ uck,The universal functorial lefschetz invariant, Fundamenta Mathematicae161 (1999), no

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:05.616184Z

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.

source=pdf_text observed=2026-08-07T13:21:02.717131Z digest=sha256:704339784115515c3c33ca434823caf67ae722e2809616fc87ea46774d74e830

Observation 649b2b36-879d-429b-8cb3-2a0ad1396dce · outbound

This paper cites L¨ uck and J.

Functoriality of the Klein-Williams Invariant and Universality Theory L¨ uck and J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:05.357635Z

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.

source=pdf_text observed=2026-08-07T13:21:02.852967Z digest=sha256:74c83c9c7e05ddf62efd4966c5710d9bf3ee4edd6dea51f5b548d04aca2c6810

Observation 37566df0-dc81-4a6b-847a-5e5fdda6c2c2 · outbound

This paper cites May, R.J.

Functoriality of the Klein-Williams Invariant and Universality Theory May, R.J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:05.179092Z

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.

source=pdf_text observed=2026-08-07T13:21:02.973353Z digest=sha256:778377cb384f799e7d2ff23e40f85fac886dced10895838102e3f8d5445abf10

Observation d3a8f466-330e-4d52-9131-a3b54e833b9f · outbound

This paper cites Newman,Integral matrices, Pure and Applied Mathematics, Academic Press, 1972.

Functoriality of the Klein-Williams Invariant and Universality Theory Newman,Integral matrices, Pure and Applied Mathematics, Academic Press, 1972

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:05.000004Z

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.

source=pdf_text observed=2026-08-07T13:21:02.984055Z digest=sha256:9e7c2f3b4eb21a928744003d393aa4d23e09608de53325e983f4453bc88bd018

Observation 82c573bf-10f7-432b-9f41-ad6a90903276 · outbound

This paper cites Taussky,On a theorem of latimer and macduffee, Canadian Journal of Mathematics1 (1949), no.

Functoriality of the Klein-Williams Invariant and Universality Theory Taussky,On a theorem of latimer and macduffee, Canadian Journal of Mathematics1 (1949), no

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:04.852217Z

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.

source=pdf_text observed=2026-08-07T13:21:03.046967Z digest=sha256:d84b082a0a402d923d1e76afa687bac38a8034837da6282089750aee07cf9fe9

Observation c6de2df5-e879-4fef-aa62-20866e56a157 · outbound

This paper cites tom Dieck,Transformation groups, De Gruyter, Berlin, New York, 1987.

Functoriality of the Klein-Williams Invariant and Universality Theory tom Dieck,Transformation groups, De Gruyter, Berlin, New York, 1987

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:04.706038Z

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.

source=pdf_text observed=2026-08-07T13:21:03.106765Z digest=sha256:92c91c0581b39281142ec0d924420f3cb689bebf9af3c71cfce154dcd5eee0a4

Observation c2001759-aec7-4846-b8d7-6093b286341d · outbound

This paper cites van Reidemeister,Automorphismen von homotopiekettenringen, Mathematische Annalen 112(1936), 586–593.

Functoriality of the Klein-Williams Invariant and Universality Theory van Reidemeister,Automorphismen von homotopiekettenringen, Mathematische Annalen 112(1936), 586–593

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:04.559176Z

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.

source=pdf_text observed=2026-08-07T13:21:03.175584Z digest=sha256:610cd0b05471e75e6c57da778e1cbb14871c6f30e0b686ce7967c5ea45a10ee0

Observation f02fc708-b14f-4b0f-a967-371150c91f28 · outbound

This paper cites Weber,Equivariant nielsen invariants for discrete groups, Pacific J.

Functoriality of the Klein-Williams Invariant and Universality Theory Weber,Equivariant nielsen invariants for discrete groups, Pacific J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:04.449542Z

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.

source=pdf_text observed=2026-08-07T13:21:03.240455Z digest=sha256:b49ceefbbcb4a461ab6970fc72201a73db8e68411d12ff83ab2ba07096b76525

Observation aa7756ff-ff26-45e3-b664-9db6265317b2 · outbound

This paper cites an unresolved cited work.

Functoriality of the Klein-Williams Invariant and Universality Theory Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:21:04.191663Z

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.

source=pdf_text observed=2026-08-07T13:21:03.350455Z digest=sha256:f47a55612eacf57e67cf2037d8d0cde75c7f9fc2a147218621d5189e6ef1a629

Observation 8390fc64-4420-4037-9ff1-023d0ee00469 · outbound

This paper cites Wecken,Fixpunktklassen II, Mathematische Annalen118(1941), 216–234 (ger).

Functoriality of the Klein-Williams Invariant and Universality Theory Wecken,Fixpunktklassen II, Mathematische Annalen118(1941), 216–234 (ger)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:21:03.863902Z

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.

source=pdf_text observed=2026-08-07T13:21:03.509809Z digest=sha256:def692e663f93141e6c851423d9757a154e6ef2f0873d967cac080f2f6e16ccd

Pith citing papers

No inbound Pith citation observations are available.