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Paper Citation Record · LEDGER

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields

As of 10 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2607.00476.

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

pith.paper-citation-record.v1
2607.00476 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-02T02:08:58.723289Z

measured 14 of 14 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T19:30:43.940487Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact10
  • verified fuzzy1
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 978b16d4-d69f-4015-bc04-52b223acee5e · outbound

This paper cites Fieker, W.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields Fieker, W

Reference 1

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T02:16:25.681669Z

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=2026-07-02T02:08:58.723289Z digest=sha256:075ea9721d26e5b0852c6cb591e77ea522eaca43b62d9604577458c9f8a6ab8f

Observation 23f619c5-ac39-49b2-abea-8e05eb0fb92c · outbound

This paper cites A quasi-optimal lower bound for skew polynomial multiplication.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields A quasi-optimal lower bound for skew polynomial multiplication

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-02T02:16:25.675328Z

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=2026-07-02T02:08:58.723289Z digest=sha256:32abd3eb460145b8bd26f39262d447b7615d78da1fa43cd41c3caeb04e4b4415

Observation d6d7d1cc-69f7-4f16-88e0-a714aa0dc20f · outbound

This paper cites The equivariant complexity of multiplication in finite field ex- tensions.Journal of Algebra, 622:694–720, 2023.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields The equivariant complexity of multiplication in finite field ex- tensions.Journal of Algebra, 622:694–720, 2023

Reference 3

Resolution
verified exact
doi, observed 2026-07-02T02:16:25.683850Z

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=2026-07-02T02:08:58.723289Z digest=sha256:32e34b358c0655685bedd4a943be30a659fb43ad21dd0631608ccf57065314b8

Observation ab3f8fc3-8897-4193-865b-6bd4b5119f1d · outbound

This paper cites Coding with skew polynomial rings.Journal of Symbolic Compu- tation, 44(12):1644–1656, 2009.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields Coding with skew polynomial rings.Journal of Symbolic Compu- tation, 44(12):1644–1656, 2009

Reference 4

Resolution
verified exact
doi, observed 2026-07-02T02:16:25.681016Z

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=2026-07-02T02:08:58.723289Z digest=sha256:f5aa1ee1db33001b4b54fdd600f0fea051472f5504c192a3199b1f8515a8f097

Observation 4df22a01-e591-49af-be03-d5523255c2bd · outbound

This paper cites Designs, Codes and Cryptography70(3), 405–431 (2014).https: //doi.org/10.1007/s10623-012-9704-4.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields Designs, Codes and Cryptography70(3), 405–431 (2014).https: //doi.org/10.1007/s10623-012-9704-4

Reference 5

Resolution
verified exact
doi, observed 2026-07-02T02:16:25.678491Z

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=2026-07-02T02:08:58.723289Z digest=sha256:f130c3aa7668e0fb4efc2a7bec04bcd97abe71e8f6d1e3024623c70a154b9a71

Observation 16fb115a-00a2-4836-b9f4-37b611ceeb8a · outbound

This paper cites Factoringinskew-polynomialringsoverfinitefields.Journal of Symbolic Computation, 26(4):463–486, 1998.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields Factoringinskew-polynomialringsoverfinitefields.Journal of Symbolic Computation, 26(4):463–486, 1998

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-02T02:16:25.677983Z

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=2026-07-02T02:08:58.723289Z digest=sha256:e1bd67737a795dd9d23a0634f7e5e7d4910c10342b9cb721d9c26225375d898d

Observation fd3c3f12-e72d-41a6-a8c8-3bf609d08e45 · outbound

This paper cites Sparse multiplication for skew polynomials.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields Sparse multiplication for skew polynomials

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-02T02:16:25.630159Z

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=2026-07-02T02:08:58.723289Z digest=sha256:04db4a165554a86de5e01f3fc13f34b40b8f179040f9b0f03fae2bdabba90404

Observation 9a2f6822-2c1d-4b4f-9bb9-4abfbecdf948 · outbound

This paper cites Skew-polynomial-sparse matrix multiplication.Journal of Symbolic Computation, 121:Paper No.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields Skew-polynomial-sparse matrix multiplication.Journal of Symbolic Computation, 121:Paper No

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-02T02:16:25.639104Z

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=2026-07-02T02:08:58.723289Z digest=sha256:0fed7b56a7610014ea1eb1be6a491845800ab4f27f6d747d393cdd99548519dc

Observation bf75bf73-8afd-4f59-950e-ba064d56465d · outbound

This paper cites an unresolved cited work.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-06T09:12:10.790836Z

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=2026-07-02T02:08:58.723289Z digest=sha256:9f4dfd53b3152f7bb084ff91feffad1850852082c3cdc2a39034b253641b2d90

Observation 0c3a5d81-0773-4e90-b4b0-0e8409586394 · outbound

This paper cites Skew polynomial rings, Gröbner bases and the letter- place embedding of the free associative algebra.Journal of Symbolic Computation, 48:110–131, 2013.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields Skew polynomial rings, Gröbner bases and the letter- place embedding of the free associative algebra.Journal of Symbolic Computation, 48:110–131, 2013

Reference 10

Resolution
verified exact
doi, observed 2026-07-02T02:16:25.673253Z

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=2026-07-02T02:08:58.723289Z digest=sha256:3f0fb0581880f9d85a8b9a18bb6f74a3605c4d585a7920494b72feb057359636

Observation 210541dd-b0c0-44a1-959d-dc37c72ba435 · outbound

This paper cites Sub-quadratic decoding of Gabidulin codes.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields Sub-quadratic decoding of Gabidulin codes

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T09:12:10.789006Z

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=2026-07-02T02:08:58.723289Z digest=sha256:e60d0f198bd05fa67d19bc3c92a82e20307e992f9b5383fa0f4de225d0ff07cf

Observation 64a5c1d6-2f17-4bfe-8dbd-537c695d74e6 · outbound

This paper cites Fast operations on linearized polynomials and their applications in coding theory.Journal of Symbolic Computation, 89:194–215, 2018.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields Fast operations on linearized polynomials and their applications in coding theory.Journal of Symbolic Computation, 89:194–215, 2018

Reference 12

Resolution
verified exact
doi, observed 2026-07-02T02:16:25.633182Z

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=2026-07-02T02:08:58.723289Z digest=sha256:e74b31be2360dc9716992c221b73dbc5c331863ff43fbcce3d12468622c4bb13

Observation 206fefbe-0066-4494-85ac-bda3bff0f519 · outbound

This paper cites The Annals of Mathematics 34(3), 480–508 (1933).https://doi.org/10.2307/1968173.

Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields The Annals of Mathematics 34(3), 480–508 (1933).https://doi.org/10.2307/1968173

Reference 13

Resolution
verified exact
doi, observed 2026-07-02T02:16:25.630792Z

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=2026-07-02T02:08:58.723289Z digest=sha256:d7dfde3aa72bc910d543982551082c507617fdc214b4db45cadfaaa4829ad6c2

Pith citing papers

Observation d81dee67-510d-41ab-a8c9-99eac19167f9 · inbound

MechMath Agent Team: LLM Driven Agents for Mathematical Research cites this paper.

MechMath Agent Team: LLM Driven Agents for Mathematical Research Complexity of Low-Degree Skew Polynomial Multiplication over Finite Fields

Reference 51

Resolution
unresolved
no resolver link, observed 2026-07-11T19:30:43.940487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T19:30:43.940487Z digest=sha256:81fbd4517f7a4297ede614d24dc2255dfd225c9cf66767b2f1d2f37a60be1f19