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Paper Citation Record · LEDGER

The least quadratic residue and integers represented by quadratic forms

As of 11 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.29566.

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

pith.paper-citation-record.v1
2607.29566 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T04:45:03.719814Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7af1d2c2-566b-4522-b70b-7068e848826f · outbound

This paper cites an unresolved cited work.

The least quadratic residue and integers represented by quadratic forms Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:02.937110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:02.937110Z digest=sha256:fa25f94e5737561bbe4c7ebd1d76f574a3854312795b3afa98d3a72edea18d06

Observation bea9983b-d001-47bd-942d-5bae33679493 · outbound

This paper cites an unresolved cited work.

The least quadratic residue and integers represented by quadratic forms Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:02.973853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:02.973853Z digest=sha256:c53e3db668a139e740946ba0867d96a1a16ec188957cb4c53a33563e0cd6e29e

Observation 45d7cb37-a2b2-4a2b-bc48-960543d6db13 · outbound

This paper cites Buell,Binary quadratic forms, Springer-Verlag, New York, 1989.

The least quadratic residue and integers represented by quadratic forms Buell,Binary quadratic forms, Springer-Verlag, New York, 1989

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:03.034388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:03.034388Z digest=sha256:0245e837afe10fff6222e62b8d73ec3e1f90d58b4e05166469eed3a5e3b27706

Observation 7803ea07-84fa-4762-8cfc-0e86ea3e89ac · outbound

This paper cites an unresolved cited work.

The least quadratic residue and integers represented by quadratic forms Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:03.140774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:03.140774Z digest=sha256:6b72c4b99faad054a39fc4a6266b66f97349dfc160393ff4432a5337b9202209

Observation db8a2e4d-64a7-444b-af52-9b9f9d421bd4 · outbound

This paper cites Ann.376(2020), no.

The least quadratic residue and integers represented by quadratic forms Ann.376(2020), no

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:03.198201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:03.198201Z digest=sha256:49753d3c958709a7e55423957c7ac99aa977f6c6c72c7f3bfe57a3fa4127d16e

Observation fdc3eaca-46ab-4261-b1cc-01fc1926141a · outbound

This paper cites Soundararajan,The spectrum of multiplicative functions, Ann.

The least quadratic residue and integers represented by quadratic forms Soundararajan,The spectrum of multiplicative functions, Ann

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:03.233151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:03.233151Z digest=sha256:a5595c6380d7632f7eceb083a78a7cae554084ea039a9354e20788c299ff503d

Observation 2b72cf1b-6edc-4d95-8457-b243bcf79958 · outbound

This paper cites an unresolved cited work.

The least quadratic residue and integers represented by quadratic forms Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:03.365224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:03.365224Z digest=sha256:561ad2d413b52b5b6a787b035b901de8aeef1e24dc34f77f40d363457cf1c04f

Observation d94ec27b-ce70-421c-b00c-5546a17d0333 · outbound

This paper cites Vaughan, and Ruixiang Zhang,The least number with prescribed Legendre symbols and representation by binary quadratic forms of small discriminant, J.

The least quadratic residue and integers represented by quadratic forms Vaughan, and Ruixiang Zhang,The least number with prescribed Legendre symbols and representation by binary quadratic forms of small discriminant, J

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:03.453356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:03.453356Z digest=sha256:24a20aa9c14a68cbe37a4b0e63a58f9a081f262b0006f37c52e252a1267cf7f4

Observation 15d40e3b-8a81-46bc-8a9b-a66eea399ded · outbound

This paper cites Hayes,The distribution of irreducibles inGF[q, x], Trans.

The least quadratic residue and integers represented by quadratic forms Hayes,The distribution of irreducibles inGF[q, x], Trans

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:03.512353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:03.512353Z digest=sha256:b44714363fa6e7301e8876f075d6d7902cb92725746b954b9712b2a596d9635b

Observation 28a830eb-c58f-4cb3-91c1-9f1e7a064bc9 · outbound

This paper cites Hocquenghem,Codes correcteurs d’erreurs, Chiffres2(1959), 147–156.

The least quadratic residue and integers represented by quadratic forms Hocquenghem,Codes correcteurs d’erreurs, Chiffres2(1959), 147–156

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:03.582562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:03.582562Z digest=sha256:aa5b47eac457462835d596fa23ca701c4894d0100f685dab02081ae522b7854e

Observation 9115814f-c093-4201-a433-f6c4492d994f · outbound

This paper cites Montgomery,Ten lectures on the interface between analytic number theory and harmonic anal- ysis, CBMS Regional Conference Series in Mathematics, vol.

The least quadratic residue and integers represented by quadratic forms Montgomery,Ten lectures on the interface between analytic number theory and harmonic anal- ysis, CBMS Regional Conference Series in Mathematics, vol

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:03.680666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:03.680666Z digest=sha256:734b9f63f418def126a41ca6f0ce26a69b94a039fe5a7b938f5d52333d156b97

Observation 52880270-aa5c-4740-8cdc-ddc0b404f49a · outbound

This paper cites Montgomery and Robert C.

The least quadratic residue and integers represented by quadratic forms Montgomery and Robert C

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T04:45:03.719814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:45:03.719814Z digest=sha256:0a278f63246243d78a3e06ed40bdcabe970f94842c0a11585ccfcb82b95967a9

Pith citing papers

No inbound Pith citation observations are available.