Paper Citation Record · LEDGER

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies

As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2505.07378.

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

pith.paper-citation-record.v1
2505.07378 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:34:25.520101Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

20 of 20 outbound references displayed

verified exact1
verified fuzzy16
unresolved3
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7578e1f7-d191-4535-b40d-12283c484f3f · outbound

This paper cites Simple graph density inequalities with no sum of squares proofs.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Simple graph density inequalities with no sum of squares proofs

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.770701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3317618b-551f-4718-b402-fdee4487ba97 · outbound

This paper cites Undecidability of polynomial inequalities in weighted graph homomorphism densities.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Undecidability of polynomial inequalities in weighted graph homomorphism densities

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.759580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3bc9980b-38e7-4585-b5c3-1bd714124a09 · outbound

This paper cites Additive energy and the metric poissonian property.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Additive energy and the metric poissonian property

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.749065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3ee3a721-fff6-4a1b-83df-67d66ef00964 · outbound

This paper cites Undecidability of polynomial inequalities in tournaments.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Undecidability of polynomial inequalities in tournaments

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T22:34:25.457422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 727ff00a-7d9d-426c-af07-7aac0d2436d1 · outbound

This paper cites Additive energies on discrete cubes.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Additive energies on discrete cubes

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.738296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c57a8e69-b500-470b-9c1a-0d0c24d789ec · outbound

This paper cites Hilbert’s tenth problem: Refinements and variants.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Hilbert’s tenth problem: Refinements and variants

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.727400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5c5741eb-935d-4244-ae9a-0c3112650dce · outbound

This paper cites On an entropic analogue of additive energy.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies On an entropic analogue of additive energy

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T22:34:25.469006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97f13162-a990-408e-99bc-c5c00e96f417 · outbound

This paper cites On sets of acquaintances and strangers at any party.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies On sets of acquaintances and strangers at any party

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.716988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1252b603-e164-4463-a060-aab3b26eee40 · outbound

This paper cites On a conjecture of marton.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies On a conjecture of marton

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.706537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e2b9fa52-dff6-4004-aabf-daa092308acf · outbound

This paper cites A quantitative inverse theorem for the $U^4$ norm over finite fields.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies A quantitative inverse theorem for the $U^4$ norm over finite fields

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T22:34:25.480554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1159750-49b0-4c58-af3b-8f560b856ba9 · outbound

This paper cites Undecidability of linear inequalities in graph homomorphism densities.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Undecidability of linear inequalities in graph homomorphism densities

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.695170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c44c92b0-d83d-4667-9f4b-2fa8af38e76d · outbound

This paper cites Universal diophantine equation.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Universal diophantine equation

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.684240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a36ee54e-0a99-4f50-8dc5-c62846c01853 · outbound

This paper cites On additive doubling and energy.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies On additive doubling and energy

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.673619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d364bfac-7583-44b1-8f10-b5a50f057de2 · outbound

This paper cites Improved Exponent for Marton's Conjecture in $\mathbb{F}_2^n$.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Improved Exponent for Marton's Conjecture in $\mathbb{F}_2^n$

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-15T22:34:25.560053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0344c2da-b28f-4acd-b540-7874ea7d2a4e · outbound

This paper cites Enumerable sets are diophantine.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Enumerable sets are diophantine

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.662751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1d9a12ba-d21c-4ebe-ac3d-fd9027b15578 · outbound

This paper cites Additive number theory: inverse problems and the geometry of sumsets , volume 165.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Additive number theory: inverse problems and the geometry of sumsets , volume 165

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.652141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8da65d1f-32d8-492e-a0c9-45410a618ecf · outbound

This paper cites Additive energies of subsets of discrete cubes.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Additive energies of subsets of discrete cubes

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.641549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8b0c9195-2575-4d18-a13b-457f702d8ced · outbound

This paper cites Further results on hilbert’s tenth problem.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Further results on hilbert’s tenth problem

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.630121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ba851cd4-8e5e-416e-8b22-2ab0384c95d8 · outbound

This paper cites The dichotomy between structure and randomness, arith- metic progressions, and the primes.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies The dichotomy between structure and randomness, arith- metic progressions, and the primes

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.617955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a6042bb5-46d0-4fc5-a8ac-69d871b58ed6 · outbound

This paper cites Additive combinatorics, volume 105.

Undecidability of Polynomial Inequalities in Subset Densities and Additive Energies Additive combinatorics, volume 105

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T22:34:25.605722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

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