Paper Citation Record · LEDGER

Anisotropic quadratic equations in three variables

As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2501.15033.

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

pith.paper-citation-record.v1
2501.15033 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:52:02.890861Z

measured 23 of 23 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

23 of 23 outbound references displayed

verified exact1
verified fuzzy19
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 38748562-0c7b-4d8e-a833-8f75c0020f0d · outbound

This paper cites Blomer and J.

Anisotropic quadratic equations in three variables Blomer and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.308102Z

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.

Observation 2b6c0091-69d7-4563-b512-5cbf7ee414b7 · outbound

This paper cites Borovoi, On representations of integers by indeﬁnite ternar y quadratic forms, J.

Anisotropic quadratic equations in three variables Borovoi, On representations of integers by indeﬁnite ternar y quadratic forms, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.291838Z

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.

Observation 5990d160-681b-4191-b8ae-6fcd649de711 · outbound

This paper cites Bourgain, A.

Anisotropic quadratic equations in three variables Bourgain, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.276390Z

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.

Observation c72ae4ea-9451-4e86-9227-9c4ecda2c042 · outbound

This paper cites Bourgain, A.

Anisotropic quadratic equations in three variables Bourgain, A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.259881Z

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.

Observation 372a7bdf-aa40-4f6b-b875-bcc54a31048c · outbound

This paper cites an unresolved cited work.

Anisotropic quadratic equations in three variables Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:52:03.243529Z

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.

Observation 38560a32-0eca-4ee2-864e-458b13996cb6 · outbound

This paper cites Diamond, H.

Anisotropic quadratic equations in three variables Diamond, H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.223544Z

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.

Observation 13ecb227-4387-4b63-9fe1-0b1dd3230087 · outbound

This paper cites Proce dures for computing sieve functions.

Anisotropic quadratic equations in three variables Proce dures for computing sieve functions

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.207485Z

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.

Observation e15f804e-aee7-4f00-bab0-afe81d658faa · outbound

This paper cites Diamond, H.

Anisotropic quadratic equations in three variables Diamond, H

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.191964Z

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.

Observation 9b5a894a-c98a-4eee-8b64-f31a985f576a · outbound

This paper cites Ehrman, Almost primes in thin orbits of Pythagorean triangles, Int.

Anisotropic quadratic equations in three variables Ehrman, Almost primes in thin orbits of Pythagorean triangles, Int

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.176680Z

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.

Observation b6e26294-e55c-4b2e-abb8-be33c5b3613f · outbound

This paper cites Quadratic forms in 8 prime variables.

Anisotropic quadratic equations in three variables Quadratic forms in 8 prime variables

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:52:02.940085Z

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.

Observation 332a22cd-ed66-48ac-8b82-f819d4e47dca · outbound

This paper cites Halberstam, D.

Anisotropic quadratic equations in three variables Halberstam, D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.160002Z

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.

Observation 2fd0b506-19d0-4da4-8c4f-950ff24ff161 · outbound

This paper cites Halberstam, H.

Anisotropic quadratic equations in three variables Halberstam, H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.143625Z

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.

Observation ed567e0a-0b1b-4901-a7f6-dfdc950b6f90 · outbound

This paper cites Kontorovich, The hyperbolic lattice point count in inﬁnite volum e with applications to sieves, Duke Math.

Anisotropic quadratic equations in three variables Kontorovich, The hyperbolic lattice point count in inﬁnite volum e with applications to sieves, Duke Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.128476Z

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.

Observation debb479b-b79c-4a42-ae06-4d8453eb4804 · outbound

This paper cites Kontorovich and H.

Anisotropic quadratic equations in three variables Kontorovich and H

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.111177Z

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.

Observation a56f7def-f663-4394-a0eb-122379f8fe9b · outbound

This paper cites Hong and A.

Anisotropic quadratic equations in three variables Hong and A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.095925Z

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.

Observation d66dc323-4f69-4231-a4ca-4ad0c232ef16 · outbound

This paper cites an unresolved cited work.

Anisotropic quadratic equations in three variables Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:52:03.079835Z

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.

Observation b4154095-9ac7-4a01-82ae-02bbcdc717ff · outbound

This paper cites Liu, Integral points on quadrics with prime coordinates, Mon atsh.

Anisotropic quadratic equations in three variables Liu, Integral points on quadrics with prime coordinates, Mon atsh

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.061768Z

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.

Observation cbd5fbce-248b-47a0-bcc2-8f1cf6e9da92 · outbound

This paper cites Liu and P.

Anisotropic quadratic equations in three variables Liu and P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.044518Z

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.

Observation 742476b7-188c-427f-8dfc-775caf09e83e · outbound

This paper cites Jacquet and R.

Anisotropic quadratic equations in three variables Jacquet and R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.026608Z

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.

Observation b68aed50-0d24-4cc6-aa9c-4e5ebf2f6276 · outbound

This paper cites Kim and P.

Anisotropic quadratic equations in three variables Kim and P

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:03.009263Z

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.

Observation e924c9a2-6e6b-47f9-8454-2d954bcd7fdf · outbound

This paper cites Selberg, On the estimation of Fourier coeﬃcients of modular f orms, Proc.

Anisotropic quadratic equations in three variables Selberg, On the estimation of Fourier coeﬃcients of modular f orms, Proc

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:02.993125Z

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.

Observation aed3e56e-b8be-40b4-89af-cc33dec0d5d5 · outbound

This paper cites an unresolved cited work.

Anisotropic quadratic equations in three variables Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:52:02.976724Z

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.

Observation a06885af-607c-4417-a7e4-f3ab27da15cb · outbound

This paper cites Zhao, The quadratic form in nine prime variables, Nagoya Math.

Anisotropic quadratic equations in three variables Zhao, The quadratic form in nine prime variables, Nagoya Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:52:02.959678Z

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.

Pith citing papers

No inbound Pith citation observations are available.