Pith. sign in

Paper Citation Record · LEDGER

Factorization of Dickson polynomials over Finite Fields

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:1908.05508.

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

pith.paper-citation-record.v1
1908.05508 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:25:47.450733Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T17:56:42.360692Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-28T18:02:27.116375Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b6eaca94-4e69-494b-8d3c-9db5d1760cbf · outbound

This paper cites Finite Fields Appl.

Factorization of Dickson polynomials over Finite Fields Finite Fields Appl

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.831395Z

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.

source=pdf_text observed=2026-08-14T13:25:47.368516Z digest=sha256:4e9abf949af8f58dd888c8dcc57156edc432acc19eebebafa824fb104ccf041b

Observation ca47cbd0-39a4-4d0c-825d-b9530646d320 · outbound

This paper cites and Zieve, M., Factoring Dickson polynomials over finite fields.

Factorization of Dickson polynomials over Finite Fields and Zieve, M., Factoring Dickson polynomials over finite fields

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.821244Z

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.

source=pdf_text observed=2026-08-14T13:25:47.372860Z digest=sha256:44fce0814952450552141895242a11e97480fe5f56e23e232cf23450dcde7876

Observation 9d7d4b6f-ad6c-433e-bf94-252f3aea8258 · outbound

This paper cites F., Gao, S., Mullin, R.

Factorization of Dickson polynomials over Finite Fields F., Gao, S., Mullin, R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.811437Z

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.

source=pdf_text observed=2026-08-14T13:25:47.376901Z digest=sha256:3fe28cf828f10506c940211e6d837667c75679bb47b280b7371e668b9eef983c

Observation d3d1e8fc-ceba-445d-bd62-498c9b614675 · outbound

This paper cites an unresolved cited work.

Factorization of Dickson polynomials over Finite Fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:25:47.801242Z

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.

source=pdf_text observed=2026-08-14T13:25:47.380777Z digest=sha256:f8b6bc745d3b7bf2c1c26a2a81e05408aaf5061d89b80262ba944bf20e95b92e

Observation d4a2dbf7-3cad-489a-b25b-ae1cac9c0bf3 · outbound

This paper cites E., Giraldo Vergara, C.

Factorization of Dickson polynomials over Finite Fields E., Giraldo Vergara, C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.790760Z

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.

source=pdf_text observed=2026-08-14T13:25:47.384734Z digest=sha256:ec6cb7d30610757223ac8fcc4fe56678d4075de4843fb04cc3566c8eb0f2f8b1

Observation 54aa8d68-25e8-48ef-8158-6ccf3a08ab63 · outbound

This paper cites E., Reis, Lucas, Silva-Jesus, La ys, Factorization of composed polynomials and applications , Discrete Math.

Factorization of Dickson polynomials over Finite Fields E., Reis, Lucas, Silva-Jesus, La ys, Factorization of composed polynomials and applications , Discrete Math

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T13:25:47.388765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:25:47.388765Z digest=sha256:eacfb103be5bf64e12a5e75d1a60148d4e305d9e8bec19e08aeacf6eda9a9a7d

Observation a65d810a-16e8-4911-8544-6d7db9049a69 · outbound

This paper cites Finite fields and Their Applications 24 95-104 (2013).

Factorization of Dickson polynomials over Finite Fields Finite fields and Their Applications 24 95-104 (2013)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.780734Z

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.

source=pdf_text observed=2026-08-14T13:25:47.392667Z digest=sha256:9893f7c8e3dd87b9dc4d4a5e76078c66b162268ee6e1250fb5585cd9a9cb5bea

Observation ebc9288b-5d62-419c-a615-d61a6e4ea58c · outbound

This paper cites Finite Fields Appl.

Factorization of Dickson polynomials over Finite Fields Finite Fields Appl

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.769491Z

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.

source=pdf_text observed=2026-08-14T13:25:47.396626Z digest=sha256:d9aefc1af35979a841469909157b5470e2a2a83b1fe5e26f99eae91de405e063

Observation b474c76f-6b89-4a3d-b97b-f36dc6b8221f · outbound

This paper cites W., Yucas, J.

Factorization of Dickson polynomials over Finite Fields W., Yucas, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.759260Z

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.

source=pdf_text observed=2026-08-14T13:25:47.400598Z digest=sha256:d05570963a0fb68f04d256386d7e412f4c1ac99467e50cdfe17bb2ecc7f9e34a

Observation 75b867f3-ad95-4f59-9aec-e59dfe923edd · outbound

This paper cites W., Yucas J.

Factorization of Dickson polynomials over Finite Fields W., Yucas J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.747705Z

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.

source=pdf_text observed=2026-08-14T13:25:47.404527Z digest=sha256:f57fee89b73d3f2bd398074c01834dfe8824a22a9e55775bd10ad27bf9b47f72

Observation f5460bb7-5e05-44ce-aa0f-a570ed503a70 · outbound

This paper cites an unresolved cited work.

Factorization of Dickson polynomials over Finite Fields Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:25:47.736633Z

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.

source=pdf_text observed=2026-08-14T13:25:47.408539Z digest=sha256:1274725ef50a1d8dcb273626f6d89ac8e660f033c43fbdbf744477d4a1310489

Observation 6e4856ac-9171-4ef2-88ff-94099f67cd8e · outbound

This paper cites an unresolved cited work.

Factorization of Dickson polynomials over Finite Fields Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:25:47.725823Z

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.

source=pdf_text observed=2026-08-14T13:25:47.412478Z digest=sha256:c563d6337e1441cb73c9de0c1b4514d3b386f549ef8b2847032c8a519d5b2a2c

Observation 192e0a39-8bc2-4fa3-b6a5-edca137508b2 · outbound

This paper cites Encyclopedia of Mathematics and Its Applications, Vol 20, Addison-W esley 1983.

Factorization of Dickson polynomials over Finite Fields Encyclopedia of Mathematics and Its Applications, Vol 20, Addison-W esley 1983

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.703989Z

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.

source=pdf_text observed=2026-08-14T13:25:47.419979Z digest=sha256:5379795149efbc38447ea0d5afad9abb5f3490c3a2cb31e5017fb6dc3936320e

Observation de21f53c-8131-402f-86ca-3b5a159a68f2 · outbound

This paper cites and Turnwald, G., Dickson polynomials.

Factorization of Dickson polynomials over Finite Fields and Turnwald, G., Dickson polynomials

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.715193Z

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.

source=pdf_text observed=2026-08-14T13:25:47.423696Z digest=sha256:38db3d8cf50ff09114cf7e329cfcb56c1012a3dd978c5de62353bf0e74cbc824

Observation edbc6539-1b7f-4c22-8c35-befd88d214f0 · outbound

This paper cites Finite Fields Appl.

Factorization of Dickson polynomials over Finite Fields Finite Fields Appl

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.691049Z

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.

source=pdf_text observed=2026-08-14T13:25:47.427356Z digest=sha256:99af2ceaeea7eb74837442309ea9bf67b67a7d090b3022b7df170d911f908289

Observation cb1f6c8e-9383-4379-88af-05bd0b127cad · outbound

This paper cites On certain values of Kloosterman sums.

Factorization of Dickson polynomials over Finite Fields On certain values of Kloosterman sums

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.679171Z

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.

source=pdf_text observed=2026-08-14T13:25:47.430835Z digest=sha256:05fa17def32f40c292a4067bcc48b5890d1b4c7e7014cec7e03330f609b6eb68

Observation bcbad376-ffa7-4171-9495-0ec49e0cb3fa · outbound

This paper cites Finite Fields Appl.

Factorization of Dickson polynomials over Finite Fields Finite Fields Appl

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.668168Z

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.

source=pdf_text observed=2026-08-14T13:25:47.434584Z digest=sha256:07c1ceff2df0b3f8cf17571688095c5edf8a0fca055e1b12586d6624080ebb85

Observation 4e22c891-6f25-407b-a96f-7e514aee1798 · outbound

This paper cites 342 (2019) DOI: j.disc.2019.111618.

Factorization of Dickson polynomials over Finite Fields 342 (2019) DOI: j.disc.2019.111618

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T13:25:47.438535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:25:47.438535Z digest=sha256:70b4807ad64924cdeae641f9dccbb3dbb2268880d982ba9656bce0decf1c6c98

Observation 417ce823-c750-49d9-86fe-7ae71f034352 · outbound

This paper cites Reducibility of translates of Dickson polynomials.

Factorization of Dickson polynomials over Finite Fields Reducibility of translates of Dickson polynomials

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:25:47.656847Z

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.

source=pdf_text observed=2026-08-14T13:25:47.442568Z digest=sha256:7f6f442f5f45a1a840a9f0b16814649f9ebfd49ff8f8e69833217b3d6fd67075

Observation ec768f51-4de2-4ad6-8fd7-f1d273232d04 · outbound

This paper cites an unresolved cited work.

Factorization of Dickson polynomials over Finite Fields Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:25:47.644647Z

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.

source=pdf_text observed=2026-08-14T13:25:47.446787Z digest=sha256:e2a1d1423135a8d879c618a8dd9cbfdcdb9477e2306e09abdcbb9c312b94989a

Observation 9119814d-7901-44bd-94b7-9188f7871c01 · outbound

This paper cites an unresolved cited work.

Factorization of Dickson polynomials over Finite Fields Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:25:47.632564Z

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.

source=pdf_text observed=2026-08-14T13:25:47.450733Z digest=sha256:49b40147dd79a503d3cccc3917dfc65b05e062b6b9dd764a1c1e8bacbd5b6f90

Pith citing papers

Observation 4d785d7c-b299-48e0-97a2-99a68fe314e8 · inbound

Explicit Factorization of $X^n-1$ over $\mathbb{Z}_{p^e}$ via Cofactor-Free Single-Seed Hensel Lifting cites this paper.

Explicit Factorization of $X^n-1$ over $\mathbb{Z}_{p^e}$ via Cofactor-Free Single-Seed Hensel Lifting Factorization of Dickson polynomials over Finite Fields

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-06-28T18:02:27.117965Z

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.

source=pdf_text observed=2026-06-28T17:56:42.360692Z digest=sha256:4ffe9c82baf18e07cc1b156fe15d036616527a0d6f4d8ecef4d0ff4e1973801e