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Paper Citation Record · LEDGER

Arithmetic Progression-Free Subset-Sum Sets

As of 14 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2606.24139.

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

pith.paper-citation-record.v1
2606.24139 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T00:11:22.679868Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

  • verified exact9
  • verified fuzzy0
  • unresolved4
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a0b04489-d0d7-402a-90b7-587297dbd287 · outbound

This paper cites an unresolved cited work.

Arithmetic Progression-Free Subset-Sum Sets Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-26T00:11:22.679868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:875357db55ea95a7dd8f44c66a95efa5cf1c8cacb9b440b110c3dc7f64ee3007

Observation 655f1cdb-6191-48e2-97e3-2454839dba05 · outbound

This paper cites an unresolved cited work.

Arithmetic Progression-Free Subset-Sum Sets Unresolved cited work

Reference 2

Resolution
malformed identifier
no resolver link, observed 2026-06-26T00:11:22.679868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:46872c4972bad02683618ac2e114611c52e0ed1686b64e9bf5b211960f3c7469

Observation ba82395d-0e7a-40e6-be15-d337ad84bd27 · outbound

This paper cites an unresolved cited work.

Arithmetic Progression-Free Subset-Sum Sets Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T00:11:22.679868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:fd3a1c18fbd8c094a1eed484abcbf95dff622611b0c0362be68d606c4a6f47f8

Observation f93926df-e718-40e0-bec9-1564c9d687b1 · outbound

This paper cites https://doi.org/10.48550/arXiv.2311.

Arithmetic Progression-Free Subset-Sum Sets https://doi.org/10.48550/arXiv.2311

Reference 4

Resolution
verified exact
doi, observed 2026-06-26T00:18:42.682040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:bff2d445d420d15f870e869e024f6489ce6c375098ef5a2934332ddb8f396b12

Observation c9ba8eec-9c74-466e-a510-af5639b36c3d · outbound

This paper cites Croot, J.

Arithmetic Progression-Free Subset-Sum Sets Croot, J

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-06-26T00:18:42.669434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:85fd3316fd977f32d9cd0acec8bdad8b6e9bb49d6924d8047dc407f5b6b86679

Observation 73f314b7-8487-4eae-8ec9-149b94e0f6a2 · outbound

This paper cites Dietmann and C.

Arithmetic Progression-Free Subset-Sum Sets Dietmann and C

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-26T00:11:22.679868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:eaf364f576e70c83502bfce86f65cf039fab87f38a994c859d2a76e2daff2594

Observation 1917104b-7241-4b1e-ac5f-9233651eea68 · outbound

This paper cites Dietmann and C.

Arithmetic Progression-Free Subset-Sum Sets Dietmann and C

Reference 7

Resolution
verified exact
doi, observed 2026-06-26T00:18:42.673418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:fb8d80e5919dd6b963acda921a304f715a3c6ada4251f1e347c80c90794109ed

Observation 0f9d86f5-224e-478f-8d60-72525ad54a6c · outbound

This paper cites an unresolved cited work.

Arithmetic Progression-Free Subset-Sum Sets Unresolved cited work

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-06-26T00:18:42.691800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:a190c83df98ae9312bba7880c43107d78a2413e3f848c46a72ab5789102b813c

Observation d894ff96-40eb-43f6-8c10-84b3956b050d · outbound

This paper cites Elsholtz, I.

Arithmetic Progression-Free Subset-Sum Sets Elsholtz, I

Reference 9

Resolution
verified exact
doi, observed 2026-06-26T00:18:42.684094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:85cd055f2e3693df909131bf9243569ed0d1ebab227a8e2fc990be2d952d7f81

Observation c0b3030f-2edd-4f3d-8d33-76ea0af2b2ee · outbound

This paper cites Erd˝ os and A.

Arithmetic Progression-Free Subset-Sum Sets Erd˝ os and A

Reference 10

Resolution
verified exact
doi, observed 2026-06-26T00:18:42.688653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:5710e68f6f141895cc2b718ea58d396801672d281db0832324bc58d2ea1044f4

Observation 8b0248d4-dede-4eda-a9bc-666d5781de5f · outbound

This paper cites Green and T.

Arithmetic Progression-Free Subset-Sum Sets Green and T

Reference 11

Resolution
malformed identifier
no resolver link, observed 2026-06-26T00:11:22.679868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:6d61074526f851aeb4b7cb9c95775a69b22be9a57c03720d8fe065161ad2740d

Observation b842674e-b6c4-452d-a046-f9f0166f7f6a · outbound

This paper cites an unresolved cited work.

Arithmetic Progression-Free Subset-Sum Sets Unresolved cited work

Reference 12

Resolution
malformed identifier
no resolver link, observed 2026-06-26T00:11:22.679868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:7ab2b349e7b841d382f3f16caf2ef0c910907a0fa37e05521a3eed309d369276

Observation af2782f6-8167-4de9-b651-8e0ad3a81d24 · outbound

This paper cites Improved Bounds for Szemer\'{e}di's Theorem.

Arithmetic Progression-Free Subset-Sum Sets Improved Bounds for Szemer\'{e}di's Theorem

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-06-26T00:18:42.666941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:bb1add16d153f27a167b3772b9298002b4cc9b751b25b852412fc5b5cd5f5982

Observation a1713fe2-f263-4c3a-8210-c892cc0a1b41 · outbound

This paper cites an unresolved cited work.

Arithmetic Progression-Free Subset-Sum Sets Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-26T00:11:22.679868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:c7da20117568ff25c9ed83607887e5198786f69701d9aae718fa956ee3a81062

Observation c5575ef3-f768-431f-a996-293d6602d3ab · outbound

This paper cites an unresolved cited work.

Arithmetic Progression-Free Subset-Sum Sets Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-06-26T00:18:42.689250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:26b6a00d4f48551374ba4e7e5dca08e3ba1137cdd6ee1c338ef2919272d8b7fc

Observation 5090e8f7-a97a-4942-8054-1bea49df9d0c · outbound

This paper cites Szemer \'e di and V.

Arithmetic Progression-Free Subset-Sum Sets Szemer \'e di and V

Reference 16

Resolution
verified exact
doi, observed 2026-06-26T00:18:42.683792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:4615b6296d7c91cc8ef9c43ba6337f3476def1e544d2c1506a860b6731622ce4

Pith citing papers

No inbound Pith citation observations are available.