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Paper Citation Record · LEDGER

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed

As of 22 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2501.04999.

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

pith.paper-citation-record.v1
2501.04999 v3

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:37:52.092064Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

29 of 29 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7be75f8e-d95a-43ab-a4c1-adbe72f59808 · outbound

This paper cites Gupta, R.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Gupta, R

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.570037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.947218Z digest=sha256:2a1d244d385c0d6f8a51e0b1862387cf73256ebcec6ae12a71cc709da71a8233

Observation b01590a1-d6a4-4188-b816-096ced351fda · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.553747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.953310Z digest=sha256:929e4833d8530b515ee641530a5307ac34cf3164c8e21ca24db936c136528247

Observation c9d8da38-b108-4ee5-bb24-97c02b922bc0 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.538482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.958255Z digest=sha256:d2c47de61f78d6915f74026b2c3b1a903e8de9fd4e3d4978d3c99cb8fb1fd9f8

Observation 6a67263f-abc5-48b3-91ec-d504da35cf96 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.522088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.963119Z digest=sha256:8006908dbdbb45ed100579ccdf1c1fe9328d695d8b9dfcae9122cb1fc39c262f

Observation 920986a2-ced7-41c5-9727-d0d040223f23 · outbound

This paper cites Shuqin and H.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Shuqin and H

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.506674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.968200Z digest=sha256:0e29350ed2d0eab92c7c26b6e3da2d07a23daba4c8886f3518376cdce839b33e

Observation 33f9d606-ba95-4072-ab27-556023900bc2 · outbound

This paper cites Shuqin and H.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Shuqin and H

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.491433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.973477Z digest=sha256:dc2ea69de40eef509536b14fae95b66aa976a9b4e1ae8765fed41b8b08cc16f0

Observation 06006430-baaa-4a6c-9fa5-c9b8bcfd3fbf · outbound

This paper cites Kapetanakis and L.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Kapetanakis and L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.476345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.978942Z digest=sha256:4a8833e28f0658007ec67355fc70d45ca055e972f4996f4bdfce7543061b8e79

Observation df26aa7d-0aed-45ae-ba5d-b6a3c8ef8e02 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.460838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.983795Z digest=sha256:6d4eef11a8432bbd3f2a10065202f57482ad128e10e8979ab1ff7dcc754e5810

Observation 194a7c52-dc52-435b-b126-69746cded934 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.445870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.988785Z digest=sha256:eb2bc5c62c92cfe56bf3998de6e3762cc3ad83e0c4e22062baac4b8b0bc7f659

Observation 0d0469d5-461d-4fbe-8623-05a9a029e403 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.429469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.993628Z digest=sha256:87654af6e59cdcb80bb999700db4b4f4cd7f19a29e099b66b24066242ccb6885

Observation b5c4d9e0-3542-4493-ad68-25d02ffcb414 · outbound

This paper cites Chatterjee, H.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Chatterjee, H

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.413874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:51.998463Z digest=sha256:b97397489ad694f534972fbfd00d4da8acc86450a0a5a9e499d70d8fbf1a2a02

Observation 4e97b981-18fa-415f-a6a0-fbb4a4e9b883 · outbound

This paper cites Reis, Existence results on k-normal elements over finite fields.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Reis, Existence results on k-normal elements over finite fields

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.397731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.003395Z digest=sha256:eced835269d96342bfd3ae6e22389a946809b24dd526a85c1208138b250ea589

Observation eb8e977b-e775-42fc-87cb-ee8d040054db · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.382432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.010921Z digest=sha256:a0dac24239215419bb1fe18682ebd60e5d982396958e1d6e7815355f05eead18

Observation 83d9cd94-1aac-4011-abb8-f5e977016332 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.367965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.016493Z digest=sha256:dd63919fd43d2d2426cda6bea8d54015e5cde829be4ef5c2edc2ed91a8bfb3cd

Observation 24d915c3-16f8-4dde-a86b-fe984093d631 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.352158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.022061Z digest=sha256:59886a81e862c2db555e441f708981266996ecb880a51336098ccc039c02ddcb

Observation 4b14acea-34f9-4a77-9059-027ac62b3db5 · outbound

This paper cites Lidl and H.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Lidl and H

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.336991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.027378Z digest=sha256:57127eaf2087185a95f4bdd02a4bcecb8673518f6a9b5ca0ce09a0c06bfc6999

Observation 6adcb9d4-81c4-4a44-ba68-85307137af13 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.321605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.032428Z digest=sha256:43cbd83df1529cb74b9d39175f8c3f77a87b72d4326e9217d89cd9220530d570

Observation 1971994f-b730-4afe-844b-0e9034e49683 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.306034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.037805Z digest=sha256:8044519e21bc3d65ad9b876da7b8827f66198e62f124beec98607a6128f5d777

Observation 099a92f3-9026-4501-b559-118ec965d563 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.290789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.042623Z digest=sha256:01486bffd1d0b6368c4d0df9b968cc4f76f5cdeb7caf1db7f5749fb0d411e822

Observation 8196c24a-136b-416c-b29f-fe6eeced6678 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.274639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.047769Z digest=sha256:4345b8221f6e11d82ac630605cbb24fcc3dce804d83d55d9ebb3b10d0bf62752

Observation 90e88e0c-477c-492b-984a-135c41c6ee4b · outbound

This paper cites Fan, Primitive normal polynomials with the last half coefficients prescribed.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Fan, Primitive normal polynomials with the last half coefficients prescribed

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.259012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.052710Z digest=sha256:855f34eb0decb57181978e05292f85e80e05ce25a56070045dabbabd555a401a

Observation 4b3a80e6-7a13-4975-a1e8-caac914be299 · outbound

This paper cites Huczynska, G.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Huczynska, G

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.242766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.057914Z digest=sha256:3dd3e27d453ffdd0e343c355d4a4b7063e0204fc832ee90a100357565a58a413

Observation 1909d90a-dd4b-4f7f-aa81-a332d1fa5049 · outbound

This paper cites Fan and W.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Fan and W

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.227413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.062785Z digest=sha256:5eee215edee9b0578e6cbdd088cfd90095325999fa2846daf9ed4a3d48719f57

Observation ad89ba5e-22d0-4098-a37c-23907c710406 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.210689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.067534Z digest=sha256:b578e089820510f092b3ad06a6b6c1435b46ce04f72ea29b5035547e98ec08a4

Observation 4b685434-b101-4fe1-9263-5bd9d9482f99 · outbound

This paper cites Fan and X.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Fan and X

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.193373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.072174Z digest=sha256:e1b0582a683906432d3d44f1200f34bca56316cfb161cc8aa719fa87846bb31a

Observation a7e0c566-676d-4243-92ab-b9b35872de04 · outbound

This paper cites Fan and X.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Fan and X

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.177385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.077612Z digest=sha256:aff4c6997a7cca9f799c534d1ecbd34bd3eb26e635ed830ffd52f1af87c207ea

Observation c41a5604-6e63-4d56-9c8b-775c82782c5e · outbound

This paper cites Cochrane and C.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Cochrane and C

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.162124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.082365Z digest=sha256:058b3a735ad0f9ba2930ac08bf510f504e799ea25362c4de5ec0c3ef6af01e10

Observation 77131385-d98f-4030-9eb6-5952b852f983 · outbound

This paper cites an unresolved cited work.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:37:52.147017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.087231Z digest=sha256:8f48c5a0a56c9817221eb164a4b292834b33d4f8b8dd02653752e711ed0c71fb

Observation 5791fc06-fffc-4d56-8ca9-bed96f37e606 · outbound

This paper cites Cao and P.

$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed Cao and P

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:37:52.130624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T21:37:52.092064Z digest=sha256:d1d309c2bfd741987cf43f51adae32c92308d15425493e1030b2c7283a39c2e7

Pith citing papers

No inbound Pith citation observations are available.