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Paper Citation Record · LEDGER

Primitive pairs of rational functions with prescribed traces over finite fields

As of 13 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2411.15568.

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

pith.paper-citation-record.v1
2411.15568 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:17:18.522093Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b248d728-e2d5-4813-b795-a61b7319ef52 · outbound

This paper cites Booker, S.

Primitive pairs of rational functions with prescribed traces over finite fields Booker, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.834297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.440995Z digest=sha256:147c08b7ae4d2c2a9b50218860233ca6d68bb326cafc7c48f110c7765ddb0361

Observation 38a59886-b002-46e6-8e4e-69dd1314d9b0 · outbound

This paper cites Booker, S.

Primitive pairs of rational functions with prescribed traces over finite fields Booker, S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.820381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.449013Z digest=sha256:fe455e726b17f2c945f923f2ed00b246b9e223df07f1213c0aa159478ce3df57

Observation efab1df3-d62c-4698-b025-e66fed7989c0 · outbound

This paper cites Cao and P.

Primitive pairs of rational functions with prescribed traces over finite fields Cao and P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.803164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.455945Z digest=sha256:3b4dcd40832d7647e5e375bf7ffb92fe59575b12848c07d5da0798e4d4f4edf1

Observation 2a8fab42-34b9-4aab-8a95-f537e95a1d5f · outbound

This paper cites Carvalho, J.P.

Primitive pairs of rational functions with prescribed traces over finite fields Carvalho, J.P

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.779207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.462945Z digest=sha256:012f8561fdb8241ab3acc39c2440fff7e198317343472fa7e1e9e9b55a75b240

Observation fb468d69-d1b7-49d2-bc04-79b2c5a38f6a · outbound

This paper cites Castro and C.

Primitive pairs of rational functions with prescribed traces over finite fields Castro and C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.759098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.468827Z digest=sha256:9cfff131d243a2a4246ec54d0afa172501538b0ee4c173c6e021196babe16e7a

Observation 156f9209-46f3-4367-adfc-a164e13528a0 · outbound

This paper cites Cochrane and C.

Primitive pairs of rational functions with prescribed traces over finite fields Cochrane and C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.732325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.477654Z digest=sha256:5f0171e17ea54a926cd3e17f3419224ba3c3e287c8818b325f0afea78a145937

Observation 5d36f8ec-5281-412e-bc0b-e8e187cdfeb9 · outbound

This paper cites an unresolved cited work.

Primitive pairs of rational functions with prescribed traces over finite fields Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:17:18.711436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.489412Z digest=sha256:9de8bdde84defe7f876bf512b08bc04d438992cc264500226c81d2b4dbc02187

Observation 37eb5e45-f8e3-437e-8adb-82efd7c8f1f7 · outbound

This paper cites an unresolved cited work.

Primitive pairs of rational functions with prescribed traces over finite fields Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:17:18.682462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.494012Z digest=sha256:8f6519afb8ccea452e7a646a31b3238dc39736ade4352165fec0cd55e00680e0

Observation d5b37e22-413d-4dd6-9281-dfb8a029e904 · outbound

This paper cites Gupta, R.

Primitive pairs of rational functions with prescribed traces over finite fields Gupta, R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.661465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.499463Z digest=sha256:a04f15dab368ffbc5269fe964dba82adcfb7aec3e5fa0ec7bdbc447da171f594

Observation 3368c591-d9c8-4d1e-9651-7250752378e5 · outbound

This paper cites Kapetanakis, An extension of the(strong) primitive normal basis theorem, Applicable Algebra in Engineering, Communication and Computing 25(5) (2014) 311-337.

Primitive pairs of rational functions with prescribed traces over finite fields Kapetanakis, An extension of the(strong) primitive normal basis theorem, Applicable Algebra in Engineering, Communication and Computing 25(5) (2014) 311-337

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.642864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.504010Z digest=sha256:aaa0e3c10fbcc5e960e6362159e9e9725ee59108dd1c68f9cbd5feddc62ed559

Observation feaed775-3a1c-4183-9afb-dfcf98050207 · outbound

This paper cites Laishram, R.

Primitive pairs of rational functions with prescribed traces over finite fields Laishram, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.626716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.508845Z digest=sha256:0a8231e060ab142af7bd2c4335110b7c0daa6127647fe4847b712d9a3efc9501

Observation 63557430-21fe-4925-90cf-62d711965532 · outbound

This paper cites Lidl and H.

Primitive pairs of rational functions with prescribed traces over finite fields Lidl and H

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.601725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.513407Z digest=sha256:64fced7a27cea7890ed029d168a7688a9a1af1062c55e4f224bc5fe2d06b6983

Observation c8270853-9621-41e3-b7f2-4f0d90c6cea5 · outbound

This paper cites an unresolved cited work.

Primitive pairs of rational functions with prescribed traces over finite fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:17:18.584194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.517877Z digest=sha256:032ca06594c3c02da16cf9bbe00b207172672d208193f4629d039356bb441c17

Observation 66ce8537-e3d3-434d-9103-9311c53c139a · outbound

This paper cites the sage mathematics softwa re system (version 9.0), 2020.

Primitive pairs of rational functions with prescribed traces over finite fields the sage mathematics softwa re system (version 9.0), 2020

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:17:18.567563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:17:18.522093Z digest=sha256:17808821dce6d7d88e048d14b580d7fbf366dffd4931a224ad323bc3196c0e5d

Pith citing papers

No inbound Pith citation observations are available.