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Paper Citation Record · LEDGER

Gaps in Multiplicative Sidon Sets II

As of 20 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2606.07428.

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

pith.paper-citation-record.v1
2606.07428 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T20:49:36.275111Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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 exact6
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2ecaa061-9fdb-4f7d-91af-4f4535fec6dd · outbound

This paper cites Aristotle: IMO-level Automated Theorem Proving.

Gaps in Multiplicative Sidon Sets II Aristotle: IMO-level Automated Theorem Proving

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-02T20:17:21.299822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:12e2369725ebbf1120285f0a43f95869b4b697292996d978e5793529d79fa58b

Observation f8576bb9-b5e6-4bab-b890-98200b061b04 · outbound

This paper cites Bazzanella,Prime numbers in intervals starting at a fixed power of the integers, J.

Gaps in Multiplicative Sidon Sets II Bazzanella,Prime numbers in intervals starting at a fixed power of the integers, J

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-27T20:49:36.275111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:788c6ae2785605627440fda0d42d9a99f03ca704c03c17f0c809d1ede8b13ffb

Observation d3a531c9-025c-4be8-8997-9193eb1a7b5a · outbound

This paper cites Bazzanella, A.

Gaps in Multiplicative Sidon Sets II Bazzanella, A

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-27T20:49:36.275111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:5c4ff5bef2de1a54287487d5cc2dbfb755b5693c1ac8de68b237564d602e1fc1

Observation 835799b0-86c9-49a7-8e99-33fc57bb635f · outbound

This paper cites Gaps in Multiplicative Sidon Sets.

Gaps in Multiplicative Sidon Sets II Gaps in Multiplicative Sidon Sets

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-07-02T20:17:21.304997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:ac51b4a8094a2b80a7aeeadcac145e256d9f9ef845941c6ceb89710ba90bf095

Observation f86dc7b3-df43-48ec-be51-0bd70d991365 · outbound

This paper cites Erdős,On sequences of integers no one of which divides the product of two others and on some related problems, Mitt.

Gaps in Multiplicative Sidon Sets II Erdős,On sequences of integers no one of which divides the product of two others and on some related problems, Mitt

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T20:49:36.275111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:aeea0e5e3bd8680561511195c3cf61bb880723e3fcdde17ef399ba314d8f5982

Observation f2f05898-d8d5-4adb-aaa4-362de0d62105 · outbound

This paper cites Erdős,On some applications of graph theory to number theoretic problems, Publ.

Gaps in Multiplicative Sidon Sets II Erdős,On some applications of graph theory to number theoretic problems, Publ

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T20:49:36.275111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:abbb745c3b3e261bd0b315fa1eb5e9ed8dc107bbeffc54123f917243b976b2c0

Observation 90434486-c62a-40b2-8611-c81c1b8a1726 · outbound

This paper cites Erdős and L.

Gaps in Multiplicative Sidon Sets II Erdős and L

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-27T20:49:36.275111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:29b0ac0c98e133e1ebe67921ffd4b2ef5c1bdb0e5b450d600110921d10b66695

Observation f051d462-9f91-4876-b188-2311d58297e0 · outbound

This paper cites On the number of exceptional intervals to the prime number theorem in short intervals.

Gaps in Multiplicative Sidon Sets II On the number of exceptional intervals to the prime number theorem in short intervals

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-07-02T20:17:21.307456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:9357d3dd1532cfcb441db5197ac8f252c125beccd9d3a051f417244edd66479b

Observation 87876eab-8220-47d0-b60e-ea3291e20f66 · outbound

This paper cites com/Woett/ChatGPT-s-note-on-gaps-in-multiplicative-Sidon-sets.

Gaps in Multiplicative Sidon Sets II com/Woett/ChatGPT-s-note-on-gaps-in-multiplicative-Sidon-sets

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T20:49:36.275111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:8a5871e14a4b1cb02e0ee0f3d7f41ce2b830c26eb93fdfa41cb7c05dd7313c3c

Observation 5b00a5ec-b3dc-49bd-8ccf-ac23a28842d8 · outbound

This paper cites On large differences between consecutive primes.

Gaps in Multiplicative Sidon Sets II On large differences between consecutive primes

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-02T20:17:21.310264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:c9c72428df09b50a7bf8357b2abaacebed95bb72472dc3e2eca7f1003fbe9d11

Observation 9595fdb3-64af-46c3-b5c1-c4fccd711462 · outbound

This paper cites Li,The number of primes in short intervals and numerical calculations for Harman’s sieve, preprint.

Gaps in Multiplicative Sidon Sets II Li,The number of primes in short intervals and numerical calculations for Harman’s sieve, preprint

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-02T20:17:21.311941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:f953178963291f5bf258d35f33cf1ccf62fb69a7798fc50787ccc88924dc10a6

Observation 6c12c3db-ea2b-4027-803c-1dbcb8571eff · outbound

This paper cites Nicolas and G.

Gaps in Multiplicative Sidon Sets II Nicolas and G

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T20:49:36.275111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:cd95a415cc5dbc0bebf90e64cd618dafb7a8521a29b975bcd91db9461ada4409

Observation 7515fb22-c458-473c-8d53-e302aacb749f · outbound

This paper cites Sárközy,Unsolved Problems in Number Theory, Period.

Gaps in Multiplicative Sidon Sets II Sárközy,Unsolved Problems in Number Theory, Period

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T20:49:36.275111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:59af9e0a707ca99b47bf46bab3dbc029f102ee03f977d1a69ed5ef7fb308f20a

Observation 7dd42ed2-c72b-4ce4-a2d1-444265c57f95 · outbound

This paper cites Spencer,Asymptotic lower bounds for Ramsey functions, Discrete Math.20(1977), 69–76.

Gaps in Multiplicative Sidon Sets II Spencer,Asymptotic lower bounds for Ramsey functions, Discrete Math.20(1977), 69–76

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T20:49:36.275111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:21f3165a2c11558b719764117a0a0b668d949021d0d7196b0eaf6d9d5555d551

Observation c2f09e30-d992-4dfb-b25c-22bac76cedb0 · outbound

This paper cites On the mean square gap between primes.

Gaps in Multiplicative Sidon Sets II On the mean square gap between primes

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-02T20:17:21.308963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:a53193a4fb95fb7278fc5643952ab3de099c459dc2252b174020e407193fc602

Observation ec8b1d77-1aff-4ad8-9cdf-30beb4b8c691 · outbound

This paper cites Yu,The differences between consecutive primes, Bull.

Gaps in Multiplicative Sidon Sets II Yu,The differences between consecutive primes, Bull

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-27T20:49:36.275111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T20:49:36.275111Z digest=sha256:17a5917786b87b615ffdd8ed6a337f112508a5b4509ee1daff81df195c20270f

Pith citing papers

No inbound Pith citation observations are available.