Paper Citation Record · LEDGER

Cardinalities of $g$-difference sets

As of 19 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2501.11736.

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

pith.paper-citation-record.v1
2501.11736 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:05:11.150399Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T16:14:13.348798Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T05:09:37.041547Z

Reference resolution

31 of 31 outbound references displayed

verified exact4
verified fuzzy22
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd2be9e3-184c-4106-b7bd-f731b5cadba2 · outbound

This paper cites an unresolved cited work.

Cardinalities of $g$-difference sets Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:05:11.743426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2e2a9c0f-eaab-468a-b642-0d0f13249406 · outbound

This paper cites Balogh, Z.

Cardinalities of $g$-difference sets Balogh, Z

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.729407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0e3466e1-4f5d-4e84-918f-07e70d0bb7bd · outbound

This paper cites Bartoli, A.

Cardinalities of $g$-difference sets Bartoli, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.713800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0339da2a-fd8a-460e-9bb2-1ade818f2501 · outbound

This paper cites Bartoli, A.

Cardinalities of $g$-difference sets Bartoli, A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.697976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9c367e16-dcba-48da-beec-bed42dbde9e1 · outbound

This paper cites Bernshteyn and M.

Cardinalities of $g$-difference sets Bernshteyn and M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.678162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 99649667-1de7-4dd4-b0d0-1dc7e57b0b97 · outbound

This paper cites an unresolved cited work.

Cardinalities of $g$-difference sets Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:05:11.658730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 44a822c2-858b-4643-848d-da04524a6876 · outbound

This paper cites Brauer, A problem of additive number theory and its app lication in electrical engineering, J.

Cardinalities of $g$-difference sets Brauer, A problem of additive number theory and its app lication in electrical engineering, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.643027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 68a193e0-19e4-46df-bd74-7feedefddc58 · outbound

This paper cites Carlet, On APN exponents, characterizations of diﬀer entially uniform functions by the Walsh transform, and related cyclic-diﬀerence-set- like structures, Des.

Cardinalities of $g$-difference sets Carlet, On APN exponents, characterizations of diﬀer entially uniform functions by the Walsh transform, and related cyclic-diﬀerence-set- like structures, Des

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.619542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a10e2ad4-a26b-4a7f-8c1c-5a8da66b4a7e · outbound

This paper cites Carlet, Boolean functions for cryptography and coding theory, Cambridge University Press, New York, 2020.

Cardinalities of $g$-difference sets Carlet, Boolean functions for cryptography and coding theory, Cambridge University Press, New York, 2020

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.607314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7b293eff-b9e3-4d87-a1e4-c12277341c50 · outbound

This paper cites On the Diameter of Finite Sidon Sets.

Cardinalities of $g$-difference sets On the Diameter of Finite Sidon Sets

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:05:11.285972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e554715c-f318-49ae-ab9c-9c9522b82438 · outbound

This paper cites Cilleruelo, I.

Cardinalities of $g$-difference sets Cilleruelo, I

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.593110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 18f859da-d912-41b2-98c2-cc360b192ef5 · outbound

This paper cites Czerwinski and A.

Cardinalities of $g$-difference sets Czerwinski and A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.577384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bdb5cb96-dbe7-4bae-81fb-a9b779143ce4 · outbound

This paper cites an unresolved cited work.

Cardinalities of $g$-difference sets Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:05:11.558715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1e2379ec-76b2-4e84-ab3f-7e1ff50099d8 · outbound

This paper cites an unresolved cited work.

Cardinalities of $g$-difference sets Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:05:11.544387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 53a915b1-aa33-42e4-b38b-b63364fd7dfd · outbound

This paper cites Sidon sets and $C_4$-saturated graphs.

Cardinalities of $g$-difference sets Sidon sets and $C_4$-saturated graphs

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:05:11.259344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8307132b-5cbe-4b87-831c-c23865931f51 · outbound

This paper cites Graham and N.

Cardinalities of $g$-difference sets Graham and N

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.526962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e6289eab-f3c1-44c5-aecb-82e09da22afa · outbound

This paper cites an unresolved cited work.

Cardinalities of $g$-difference sets Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:05:11.510992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b031eef8-2c4c-4ca2-a6f6-cb93f79da58b · outbound

This paper cites Green, 100 open problems, manuscript, available on request to Professor Green (accessed November 2024) (2024).

Cardinalities of $g$-difference sets Green, 100 open problems, manuscript, available on request to Professor Green (accessed November 2024) (2024)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.492504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c3dc1b2b-8a3b-4e57-92bc-2acf76cd9bfc · outbound

This paper cites Johnston, M.

Cardinalities of $g$-difference sets Johnston, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.478687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aa8c9413-5004-455b-88e0-6b4823429563 · outbound

This paper cites Generalized difference sets and autocorrelation integrals.

Cardinalities of $g$-difference sets Generalized difference sets and autocorrelation integrals

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:05:11.234036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b17ef704-8721-456e-800c-9010eadae3e0 · outbound

This paper cites Lindstr¨ om, An inequality for B2-sequences, J.

Cardinalities of $g$-difference sets Lindstr¨ om, An inequality for B2-sequences, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.465103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0d0bfb65-6bcf-4564-b671-9eca2dc9397d · outbound

This paper cites Mirsky, MathSciNet Review MR003055.

Cardinalities of $g$-difference sets Mirsky, MathSciNet Review MR003055

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.452095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6bb4cc25-3092-4ccf-bc4a-50e049a7f4b7 · outbound

This paper cites Thin Sidon sets and the nonlinearity of vectorial Boolean functions.

Cardinalities of $g$-difference sets Thin Sidon sets and the nonlinearity of vectorial Boolean functions

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:05:11.210846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a4b92c38-feeb-4946-962d-3589ce74cb01 · outbound

This paper cites Nyberg, Perfect nonlinear S-boxes, in Lecture Notes in Comput.

Cardinalities of $g$-difference sets Nyberg, Perfect nonlinear S-boxes, in Lecture Notes in Comput

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.437111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 03bc2ba7-0027-425e-9bd8-2902288d3852 · outbound

This paper cites O’Bryant, A complete annotated bibliography of work related to Sidon sequences, preprint, arXiv: 0407117 [math].

Cardinalities of $g$-difference sets O’Bryant, A complete annotated bibliography of work related to Sidon sequences, preprint, arXiv: 0407117 [math]

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.417222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1abc90c0-b87b-460b-95d5-b4a7c9d4c3d8 · outbound

This paper cites Plagne, Recent progress on ﬁnite Bh[g] sets, Congr.

Cardinalities of $g$-difference sets Plagne, Recent progress on ﬁnite Bh[g] sets, Congr

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.398628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0cab43a7-1923-43aa-bf22-1689156f1663 · outbound

This paper cites R´ edei and A.

Cardinalities of $g$-difference sets R´ edei and A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.377034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 71276b4d-3e35-475a-93fa-7d76ca14e1d4 · outbound

This paper cites Sidon, Ein satz ¨ uber trigonometrische polynome und seine anwendung in der the- orie der Fourier-reihen, Math.

Cardinalities of $g$-difference sets Sidon, Ein satz ¨ uber trigonometrische polynome und seine anwendung in der the- orie der Fourier-reihen, Math

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.355843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e667b168-6e7b-4527-aa14-92edabe5f883 · outbound

This paper cites Singer, A theorem in ﬁnite projective geometry and so me applications to number theory, Trans.

Cardinalities of $g$-difference sets Singer, A theorem in ﬁnite projective geometry and so me applications to number theory, Trans

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.336018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0b9822fd-06c7-4bd2-8e97-9c3e1677ed01 · outbound

This paper cites Tait and R.

Cardinalities of $g$-difference sets Tait and R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.317226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5f891874-776b-48eb-a074-f7415f75eeaf · outbound

This paper cites Xu, Popular diﬀerences and generalized Sidon sets, J.

Cardinalities of $g$-difference sets Xu, Popular diﬀerences and generalized Sidon sets, J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:05:11.301252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation ecf48a88-eb15-4614-ae3d-d30cd240a920 · inbound

Fault-Tolerant Shared-Relay Communication in Circulant Interconnection Networks cites this paper.

Fault-Tolerant Shared-Relay Communication in Circulant Interconnection Networks Cardinalities of $g$-difference sets

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-04T05:09:37.043121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.