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Paper Citation Record · LEDGER

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares

As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:1908.03236.

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

pith.paper-citation-record.v1
1908.03236 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:35:04.265275Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

10 of 10 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 065d2415-95fd-4de2-800f-fb5d4bacc4af · outbound

This paper cites an unresolved cited work.

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:04.698353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:04.215728Z digest=sha256:1c1f013b7b10b63f0125a8c2d92aaba9fd99db7ce466226faae920ffe2a69214

Observation 704cddeb-d0af-4364-87bb-7a851309d3f4 · outbound

This paper cites an unresolved cited work.

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:04.677798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:04.221404Z digest=sha256:8c9607b2e00ea8b10c3360ac889cdffee40875200f0cf384961958cf69616882

Observation 6bc9ea95-9eef-49ed-bdfb-5f97835fbc53 · outbound

This paper cites Robertson, Magic Squares of Squares , Mathematics Magazine, vol.

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares Robertson, Magic Squares of Squares , Mathematics Magazine, vol

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:35:04.463995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:04.226501Z digest=sha256:58fa4ef168bb236a7535e70a1dc0a4c85ce61d5b57c3e416a0b110860f01bfe3

Observation f06648f0-d20f-42de-b605-b42865f0bed3 · outbound

This paper cites an unresolved cited work.

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:04.656193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:04.231690Z digest=sha256:314bb68e4738af7a9980857ff50d05d191e9710f279f562d0a16dc011540297b

Observation a265e3bd-fc2a-419a-96e2-44ef48871b8f · outbound

This paper cites an unresolved cited work.

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:04.625581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:04.236267Z digest=sha256:071f536195f2f91a026faee07c8ed8615faf2a93aee4d89d340d751cd2ad6b41

Observation 708fec82-6cd5-45d2-b71b-4d394c855079 · outbound

This paper cites an unresolved cited work.

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:04.585075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:04.241703Z digest=sha256:ba87fea531e38017736e599227ae0841badea3c0d0aeed94e8d85f98392d1820

Observation a99c5ed8-07e4-47aa-b38b-ab237d5d82f2 · outbound

This paper cites an unresolved cited work.

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:04.558929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:04.247502Z digest=sha256:8172d0485233ebeb01bc8de8927fe81f365f81c604c203090e064c7469f9e61a

Observation c5378279-ef7a-49d2-aa53-cb2fc984981c · outbound

This paper cites an unresolved cited work.

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:04.536280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:04.253729Z digest=sha256:2033e282f42b6042f36eaf2075565d2cc98d75190170b11bbd2a1b4d5dd36c39

Observation 40efc103-c6fe-4410-836f-ef00553f6982 · outbound

This paper cites an unresolved cited work.

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:04.505786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:04.259237Z digest=sha256:4b84baf77cc22929614afc3fd75bf59ea459a153e3f92268228c7690ad8d7cdf

Observation 924055cc-9ef6-4817-8250-4da0f2f16475 · outbound

This paper cites an unresolved cited work.

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:35:04.481347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:35:04.265275Z digest=sha256:32551d6fd234cf56d82fbb24a12e5a54cd71471cff086533da43b7c73ed62eea

Pith citing papers

No inbound Pith citation observations are available.