Paper Citation Record · LEDGER

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions

As of 21 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2606.07735.

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

pith.paper-citation-record.v1
2606.07735 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T20:44:17.689271Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

19 of 19 outbound references displayed

verified exact14
verified fuzzy0
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b77f4df8-a6ab-473c-83f5-660468cc77a6 · outbound

This paper cites Prouhet’s 1851 Solution of the Tarry-Escott Problem of 1910,.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Prouhet’s 1851 Solution of the Tarry-Escott Problem of 1910,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T20:44:17.689271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4efbe2ba-5d00-4f21-9d27-a1ca88d4996e · outbound

This paper cites The Prouhet–Tarry–Escott Problem Revisited,.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions The Prouhet–Tarry–Escott Problem Revisited,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T20:44:17.689271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0d4f4d5-1654-4247-9fc2-3a7c50a7c489 · outbound

This paper cites Borwein,The Prouhet–Tarry–Escott Problem, pp.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Borwein,The Prouhet–Tarry–Escott Problem, pp

Reference 3

Resolution: verified exact; doi, observed 2026-06-27T20:51:15.812791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 96bbc0f5-d2bf-492b-a395-2d6503993ddf · outbound

This paper cites A survey of The Prouhet-Tarry-Escott Problem and its Generalizations.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions A survey of The Prouhet-Tarry-Escott Problem and its Generalizations

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:21.958253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e571a39a-705c-4193-954f-170524c3300f · outbound

This paper cites An Anomaly Free Version of Weinberg’s Model,.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions An Anomaly Free Version of Weinberg’s Model,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T20:44:17.689271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9185e8da-fcdb-4a89-8f6e-31633a8711a0 · outbound

This paper cites Anomaly-Free Sets of Fermions.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Anomaly-Free Sets of Fermions

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-02T20:17:21.977699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6e04b306-8520-4eb6-96ef-3f6334d7afd3 · outbound

This paper cites New Chiral Fermions, a New Gauge Interaction, Dirac Neutrinos, and Dark Matter.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions New Chiral Fermions, a New Gauge Interaction, Dirac Neutrinos, and Dark Matter

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-07-02T20:17:21.972743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 588eba00-3dfc-4d9d-a7b7-61c4acd55601 · outbound

This paper cites Number-Theory Dark Matter.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Number-Theory Dark Matter

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-07-02T20:17:21.975250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1a7de105-dbf5-41d8-80ce-8b18f9152a8f · outbound

This paper cites Revisiting the Number-Theory Dark Matter Scenario and the Weak Gravity Conjecture.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Revisiting the Number-Theory Dark Matter Scenario and the Weak Gravity Conjecture

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-02T20:17:21.961005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9a22f596-74e6-4cca-bb13-8a375d484307 · outbound

This paper cites Hypercharge Quantisation and Fermat's Last Theorem.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Hypercharge Quantisation and Fermat's Last Theorem

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:21.980587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 809a0b76-205b-43cb-b641-2e409bdb6544 · outbound

This paper cites General solution to the U(1) anomaly equations.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions General solution to the U(1) anomaly equations

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:21.963935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7f5f7583-ab2f-4b3e-bdd9-390556652d57 · outbound

This paper cites Chiral Abelian gauge theories with few fermions.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Chiral Abelian gauge theories with few fermions

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:21.970036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a7a2baa9-c8b8-47df-b9b0-22839885dd71 · outbound

This paper cites Number Theory in Quantum Physics: Minicharged Particles and the Prouhet-Tarry-Escott Problem,.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Number Theory in Quantum Physics: Minicharged Particles and the Prouhet-Tarry-Escott Problem,

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:21.983555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6032f39b-1097-4f2b-bd40-0a4fd7ceca35 · outbound

This paper cites Ideal solutions in the Prouhet-Tarry-Escott problem.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Ideal solutions in the Prouhet-Tarry-Escott problem

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:21.967351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4d760918-cf63-422a-b21e-a55c98ebda76 · outbound

This paper cites an unresolved cited work.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T20:44:17.689271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c23fd3c3-c139-4d3e-8cf1-f0a87693b64a · outbound

This paper cites On Dirichlet Series for Sums of Squares,.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions On Dirichlet Series for Sums of Squares,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T20:44:17.689271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 345a9846-6e91-433e-9850-46e159160376 · outbound

This paper cites The cubic case of the main conjecture in Vinogradov's mean value theorem.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions The cubic case of the main conjecture in Vinogradov's mean value theorem

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:21.953079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 28ffa979-38d0-463f-8b53-5eb25088e1bf · outbound

This paper cites Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-02T20:17:21.958369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ecc9ee1c-929d-40ef-a27d-c36e083620c6 · outbound

This paper cites Rational points on intersections of cubic and quadric hypersurfaces.

Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott Solutions Rational points on intersections of cubic and quadric hypersurfaces

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-07-02T20:17:21.955666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.