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Paper Citation Record · LEDGER

Goldbach's Problem in short intervals for numbers with a missing digit

As of 11 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2412.19975.

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

pith.paper-citation-record.v1
2412.19975 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:55:56.753284Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5632002a-e9ef-4a92-b55c-69eb90cfc43d · outbound

This paper cites Banks, Alessandro Conflitti, and Igor E.

Goldbach's Problem in short intervals for numbers with a missing digit Banks, Alessandro Conflitti, and Igor E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:57.028869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.678642Z digest=sha256:ad829b979ca49b9169a628a32d5831ed7938522249ff313a2785aff165c24b0e

Observation 380bd6f7-9a94-4b02-a6a2-b40223b0751f · outbound

This paper cites Digitally restricted sets and the go ldbach conjecture: An exceptional set result, 2024.

Goldbach's Problem in short intervals for numbers with a missing digit Digitally restricted sets and the go ldbach conjecture: An exceptional set result, 2024

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:57.014047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.683639Z digest=sha256:2d192b99d6f31851994d7d0ce217fbe9774732b1a6229491846cd630b5fa092a

Observation ab1bfcb6-5c88-42fa-b89c-e3e9749f1aea · outbound

This paper cites Nombres presque p remiers dont l’écriture en base r ne comporte pas certains chiffres.

Goldbach's Problem in short intervals for numbers with a missing digit Nombres presque p remiers dont l’écriture en base r ne comporte pas certains chiffres

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.999876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.688533Z digest=sha256:4802d1fa69f3fe762567b872b17d9dc33f77606a15535e1c962d0475e3498d98

Observation e4fb5330-fc84-408f-b9e3-e0a238ea2dda · outbound

This paper cites Ensembles de den sitĂŠ nulle contenant des entiers possĂŠdant au plus deux facteurs premiers.

Goldbach's Problem in short intervals for numbers with a missing digit Ensembles de den sitĂŠ nulle contenant des entiers possĂŠdant au plus deux facteurs premiers

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.985385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.693160Z digest=sha256:b089f2a50fe08208d481938b821bd43646d730c2c736c8e510a77b68945ddd82

Observation f254b76f-0ccb-49ea-a059-99d34540ba1b · outbound

This paper cites On ar ithmetic properties of integers with missing digits.

Goldbach's Problem in short intervals for numbers with a missing digit On ar ithmetic properties of integers with missing digits

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.971353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.697826Z digest=sha256:fca337f8e23cee47741814624b81128a7c4f6a22531e5f2a92b817202b26f940

Observation 35e416c2-556e-4182-b65d-72f1cb9bfab6 · outbound

This paper cites On ar ithmetic properties of integers with missing digits.

Goldbach's Problem in short intervals for numbers with a missing digit On ar ithmetic properties of integers with missing digits

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.957552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.703072Z digest=sha256:d322cbd08e325826a2abfbe583b69b6dcd961af99329dfb6414d8b2fee4e6782

Observation 46cb747c-6128-42b7-9bac-2e00404dc1c9 · outbound

This paper cites Prime-detecting sieves, volume 33 of London Mathematical Society Monographs Series.

Goldbach's Problem in short intervals for numbers with a missing digit Prime-detecting sieves, volume 33 of London Mathematical Society Monographs Series

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.943770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.708486Z digest=sha256:23025d595c723f57fcfc25dfb55784ac5bc149eae75c3866746d99d75a8513b6

Observation 378e7435-142d-4aa1-9725-88ea64682068 · outbound

This paper cites On Linnik’s constant.

Goldbach's Problem in short intervals for numbers with a missing digit On Linnik’s constant

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.928617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.712959Z digest=sha256:c2b7dea410d35b262a4cf8903098a268c35b3ba33dcab8a3b3560b1a1042ab78

Observation 7b53e7ed-4904-4424-83bb-71be32d88b2d · outbound

This paper cites The divisor function over integers with a mi ssing digit, 2024.

Goldbach's Problem in short intervals for numbers with a missing digit The divisor function over integers with a mi ssing digit, 2024

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.914132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.717601Z digest=sha256:03e56eebf8f1000ed4f614aea6b347a9c210bb18f8434401a8f092727ae9f7da

Observation 67886927-eff7-401f-bd41-4a7838349461 · outbound

This paper cites Arithmetic properties of integers wi th missing digits: distribution in residue classes.

Goldbach's Problem in short intervals for numbers with a missing digit Arithmetic properties of integers wi th missing digits: distribution in residue classes

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.899652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.722037Z digest=sha256:92a3da5d067a13cc820fc8c190c61c46a7ae6bf176b226111199391f1207ad2a

Observation a960d15b-823a-4b7d-9579-ca3e70120649 · outbound

This paper cites Higher uniformity of arithmetic functions in short interva ls ii.

Goldbach's Problem in short intervals for numbers with a missing digit Higher uniformity of arithmetic functions in short interva ls ii

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.884825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.726619Z digest=sha256:cdef8e54936dc03c4404db3b9b7c73cc43a529b88e5d1c74d60a02f838f7b3f0

Observation 2fc771cf-ddd2-4e04-9cfa-443c4355c25a · outbound

This paper cites Discorrelation bet ween primes in short intervals and polynomial phases.

Goldbach's Problem in short intervals for numbers with a missing digit Discorrelation bet ween primes in short intervals and polynomial phases

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.869346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.730936Z digest=sha256:b396bc2dfbb144443b8dc95dd9bf8c086ea98b1b6ccdd17d0df332a0ac4a97a8

Observation 6e88de2c-83d8-48d8-92b3-6b5e0c5058ec · outbound

This paper cites Higher uniformity of arithmetic functions in short intervals I.

Goldbach's Problem in short intervals for numbers with a missing digit Higher uniformity of arithmetic functions in short intervals I

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.853055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.735365Z digest=sha256:094c4e5361f609f3d707f9187494aeb582b34aae83b9d0fa07438a586753c2ce

Observation 82436443-11f3-4946-b6d0-6d2581ab33c3 · outbound

This paper cites Primes with restricted digits.

Goldbach's Problem in short intervals for numbers with a missing digit Primes with restricted digits

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.838858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.740027Z digest=sha256:338dd5c9b30560ddfc314e3ff40bc070b2bc9965d5b08abacce8653ed6599af1

Observation 9be9da9f-ba69-4735-857f-3ba28964defa · outbound

This paper cites Primes with a missing digit: distribu tion in arithmetic progressions and an application in sieve theory.

Goldbach's Problem in short intervals for numbers with a missing digit Primes with a missing digit: distribu tion in arithmetic progressions and an application in sieve theory

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.824141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.744621Z digest=sha256:8459c1732fc42cf01467f188d638f2d916e7cacaa772291b81325ca8e9fc3954

Observation 087ae738-fcc4-49df-bd61-42043b5fda14 · outbound

This paper cites Perelli and J.

Goldbach's Problem in short intervals for numbers with a missing digit Perelli and J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.805429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.748994Z digest=sha256:35c1ca61804b75f6b0e97f53d25bd817a4b11486ed47d95eef8c2bf3695b6a8c

Observation 77fd58c7-7686-454e-9821-187c93c1b802 · outbound

This paper cites Higher order Fourier analysis , volume 142 of Graduate Studies in Mathematics.

Goldbach's Problem in short intervals for numbers with a missing digit Higher order Fourier analysis , volume 142 of Graduate Studies in Mathematics

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:55:56.790222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:55:56.753284Z digest=sha256:a6bcce928415a6d1a4fdafd3761342672d4eab15c5baa23ea08472f7f27c4de2

Pith citing papers

No inbound Pith citation observations are available.