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Paper Citation Record · LEDGER

An Explicit Surjectivity Threshold for Digit Sums of Primes

As of 11 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2606.04677.

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

pith.paper-citation-record.v1
2606.04677 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T04:48:45.909160Z

measured 16 of 16 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

16 of 16 outbound references displayed

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  • verified fuzzy0
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation abe62ba9-b6f2-4cf4-9382-33b0c744cbec · outbound

This paper cites Bennett, Greg Martin, Kevin O’Bryant, and Andrew Rechnitzer,Explicit bounds for primes in arithmetic progressions, Illinois Journal of Mathematics62(2018), no.

An Explicit Surjectivity Threshold for Digit Sums of Primes Bennett, Greg Martin, Kevin O’Bryant, and Andrew Rechnitzer,Explicit bounds for primes in arithmetic progressions, Illinois Journal of Mathematics62(2018), no

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:96b27e56287830c15192d6c128b552436182e44b315cebc84e002eaf899f0a3b

Observation 7775ef21-cad0-449a-867e-52e1560f90e3 · outbound

This paper cites Berkane, Olivier Bordell` es, and Olivier Ramar´ e,Explicit upper bounds for the remainder term in the divisor problem, Mathematics of Computation81(2012), no.

An Explicit Surjectivity Threshold for Digit Sums of Primes Berkane, Olivier Bordell` es, and Olivier Ramar´ e,Explicit upper bounds for the remainder term in the divisor problem, Mathematics of Computation81(2012), no

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:8a7db3cb5552064e154aeb6a6f4c6d66865774eea919a187b2d8403ed73725be

Observation aa27126f-2a9c-49bc-ba77-d16aca519362 · outbound

This paper cites MR 2156291.

An Explicit Surjectivity Threshold for Digit Sums of Primes MR 2156291

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:72bf2b30fafca4221f655a847b52d2ef39c259ca35d823cb0097ad5d4375e8a3

Observation 51eeb2ed-571f-420c-b928-e7210c685409 · outbound

This paper cites 2, 271–292.

An Explicit Surjectivity Threshold for Digit Sums of Primes 2, 271–292

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:7ff91af965bb06b526a372960fd42fb5540f7d573d73251db29f60bb6a6e14ce

Observation 2f6662f9-6613-4b4d-a0ec-eedafef0a31c · outbound

This paper cites an unresolved cited work.

An Explicit Surjectivity Threshold for Digit Sums of Primes Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:c45decb1bbfeaa1a222e400399e68405c1b33efdd046089f8b73f2953484590b

Observation 781ccea1-8b80-4f1a-a998-be846599b2b4 · outbound

This paper cites 53, American Mathematical Society, Providence, RI,.

An Explicit Surjectivity Threshold for Digit Sums of Primes 53, American Mathematical Society, Providence, RI,

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:a97e8a6fefa0560db619b395acd5956eadea3f15a23ee6e9fa6dcd3d52c1e700

Observation 748178da-33fc-48eb-a089-ccc9280a5f4b · outbound

This paper cites MR 419394.

An Explicit Surjectivity Threshold for Digit Sums of Primes MR 419394

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:ce33e007143481ae9eb09d0e76cfe74a1b5e5d8068e6bf579b25f65405d25a9a

Observation e642e662-506e-4acb-b3ea-0b2e616f3c8b · outbound

This paper cites an unresolved cited work.

An Explicit Surjectivity Threshold for Digit Sums of Primes Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:f2f554a82a101eef7fd9171218d84209bc40c49b161bb7f66f12b2882ac474e2

Observation d268fc4d-cecc-425c-b89d-dfcce7071379 · outbound

This paper cites 3, 1591–1646.

An Explicit Surjectivity Threshold for Digit Sums of Primes 3, 1591–1646

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:f13a636c5b93971ad0f22a8ca2bae6ad1a753ce4a7d96ce0568d08483a9c9eaa

Observation 2e5950b0-c032-4628-9903-266a98d4e9b7 · outbound

This paper cites an unresolved cited work.

An Explicit Surjectivity Threshold for Digit Sums of Primes Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:ded62e52e63923d202a555dc790641b51d273b339ee80bbdab52c0de1b97999b

Observation 5f28a483-72ce-4090-a18e-a05e10c11cce · outbound

This paper cites an unresolved cited work.

An Explicit Surjectivity Threshold for Digit Sums of Primes Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:a5a483def7cc5369776046dbaba5950e9f5e4e1027055e04c8d1fefc65536127

Observation e36e933e-4278-49a3-8903-fc5e0375b65a · outbound

This paper cites an unresolved cited work.

An Explicit Surjectivity Threshold for Digit Sums of Primes Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:293a12fee70a1dc15dfe51e77ab98724d43d390d8bb2da1bc1c310f45be8cfb7

Observation adc50088-c0b6-4837-81d3-472ffb6b3b01 · outbound

This paper cites an unresolved cited work.

An Explicit Surjectivity Threshold for Digit Sums of Primes Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:0a6b796e5a6c45cfd6970dd65afbce05f4ff8623971c26f4efca18c35ff322f0

Observation 0ededf2f-8b4f-4b1f-8561-fb42fc634d4e · outbound

This paper cites Barkley Rosser and Lowell Schoenfeld,Approximate formulas for some functions of prime numbers, Illinois J.

An Explicit Surjectivity Threshold for Digit Sums of Primes Barkley Rosser and Lowell Schoenfeld,Approximate formulas for some functions of prime numbers, Illinois J

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:68b24a55d7ad68361d589144a8c6cb28806d04f1c9da2341d99ac9939e969b52

Observation 0a9cee24-00c8-4b39-822a-8eec9aa65591 · outbound

This paper cites an unresolved cited work.

An Explicit Surjectivity Threshold for Digit Sums of Primes Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:cf906ca393045c7acf74a9339ffbd26aba0c5a9d922393c05f92b70e09c61b92

Observation 2a288285-580e-4c08-a6e6-a68789c02cd5 · outbound

This paper cites an unresolved cited work.

An Explicit Surjectivity Threshold for Digit Sums of Primes Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-28T04:48:45.909160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T04:48:45.909160Z digest=sha256:2f304fa1627389aee83d4e8c91f1397b203cae59812c6d14a084420823bfe9e4

Pith citing papers

No inbound Pith citation observations are available.