Paper Citation Record · LEDGER

Additive sumset sizes with tetrahedral differences

As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 2 inbound Pith citation observations for arXiv:2507.08646.

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

pith.paper-citation-record.v1
2507.08646 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:24:51.958065Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T08:08:31.593978Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

verified exact1
verified fuzzy1
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f0fa72f1-bd75-4859-8cd3-79c4d0b79d78 · outbound

This paper cites Reprinted by Chelsea Publishing Company, New York, 1971.

Additive sumset sizes with tetrahedral differences Reprinted by Chelsea Publishing Company, New York, 1971

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:24:52.830718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1f58e076-bed2-4686-9991-6a284e4d4b21 · outbound

This paper cites Erd˝ os and E.

Additive sumset sizes with tetrahedral differences Erd˝ os and E

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.252695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1b63480-8232-4db7-85e5-db204aaf1a44 · outbound

This paper cites an unresolved cited work.

Additive sumset sizes with tetrahedral differences Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.328308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfe26360-27a6-4e31-846d-3a31544ecf53 · outbound

This paper cites Hegyv´ ari, On representation problems in the additive number theory, Acta Math.

Additive sumset sizes with tetrahedral differences Hegyv´ ari, On representation problems in the additive number theory, Acta Math

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.397650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0fa59ec6-4afb-49ca-b148-6678160aa093 · outbound

This paper cites Kravitz, Relative sizes of iterated sumsets, J.

Additive sumset sizes with tetrahedral differences Kravitz, Relative sizes of iterated sumsets, J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.445311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbc73f8d-70a7-424e-891e-27bcc059881c · outbound

This paper cites an unresolved cited work.

Additive sumset sizes with tetrahedral differences Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:24:52.651836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 678776f9-92f6-4ac7-ac32-8a3edd27e804 · outbound

This paper cites an unresolved cited work.

Additive sumset sizes with tetrahedral differences Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.592628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8dac3c1-f2f4-4eab-8752-d0e5f7bdadb6 · outbound

This paper cites Explicit sumset sizes in additive number theory.

Additive sumset sizes with tetrahedral differences Explicit sumset sizes in additive number theory

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.640446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae47b279-d466-4886-a202-56d8f3f3f4d6 · outbound

This paper cites Compression and complexity for sumset sizes in additive number theory.

Additive sumset sizes with tetrahedral differences Compression and complexity for sumset sizes in additive number theory

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:24:52.336867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 340c6ff3-6d10-4ad9-ae80-65b830fbc412 · outbound

This paper cites Triangular and tetrahedral number differences of sumset sizes in additive number theory.

Additive sumset sizes with tetrahedral differences Triangular and tetrahedral number differences of sumset sizes in additive number theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.766188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 731587ad-26b4-4616-bcd9-e8ef7be5314e · outbound

This paper cites O’Bryant, A complete annotated bibliography of work related to Sidon sequences, Electron.

Additive sumset sizes with tetrahedral differences O’Bryant, A complete annotated bibliography of work related to Sidon sequences, Electron

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.825632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e30685d-df5e-4aaf-8c3f-3a7bb4539f04 · outbound

This paper cites On Nathanson's Triangular Number Phenomenon.

Additive sumset sizes with tetrahedral differences On Nathanson's Triangular Number Phenomenon

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.874790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28f19874-deb2-4fa4-bda6-33b78e43835c · outbound

This paper cites A note on iterated sumsets races.

Additive sumset sizes with tetrahedral differences A note on iterated sumsets races

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.914913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d7bcd0f-659d-46f6-ad31-0ee4da55df9c · outbound

This paper cites On the Sumset of Sets of Size $k$.

Additive sumset sizes with tetrahedral differences On the Sumset of Sets of Size $k$

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T18:24:51.958065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation c0fcf969-3b65-42fc-8b3d-0b3a260e1f66 · inbound

Possible Sizes of Sumsets cites this paper.

Possible Sizes of Sumsets Additive sumset sizes with tetrahedral differences

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T08:08:31.593978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b84cf102-a188-48f5-86ed-cbdd39c005c0 · inbound

On the size of $h$-fold sumsets cites this paper.

On the size of $h$-fold sumsets Additive sumset sizes with tetrahedral differences

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T05:13:31.113333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.