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Paper Citation Record · LEDGER

A proper Euler magic matrix of order $5$

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.19416.

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

pith.paper-citation-record.v1
2607.19416 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:29:21.925747Z

measured 20 of 20 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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 70d97986-2afe-4786-8799-d50f9feca7a4 · outbound

This paper cites an unresolved cited work.

A proper Euler magic matrix of order $5$ Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:19.690059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:19.690059Z digest=sha256:2089a74d73fb194a78ebef17c720e6318eb84446068d2264f65c8c58a96f5612

Observation a6e1437f-7000-40fd-b8af-b9e8fdd8f5b2 · outbound

This paper cites 2, 52–64.

A proper Euler magic matrix of order $5$ 2, 52–64

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:19.791844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:19.791844Z digest=sha256:a5b0cd85bc81ad3fa25769f78c0cd169bb163c0518da4092ba818de14f92e69f

Observation ef51f412-6699-45e1-87d5-96abac7d7f18 · outbound

This paper cites 3, 289–297.

A proper Euler magic matrix of order $5$ 3, 289–297

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:19.869064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:19.869064Z digest=sha256:99063838e0ddd4b05a9fc875a6c4490009de8847bae4c8d4d73f4c6a9931b204

Observation 8c436443-a557-46e0-bb20-7674468cdee6 · outbound

This paper cites 3, 289–308.

A proper Euler magic matrix of order $5$ 3, 289–308

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:20.050357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:20.050357Z digest=sha256:91e71690924a3e6abb5ee60a29f4f50aca30282c6412d22f87a854e380f4a359

Observation f3df294d-53a9-4933-8855-f31d6cd12c4f · outbound

This paper cites an unresolved cited work.

A proper Euler magic matrix of order $5$ Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:20.173067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:20.173067Z digest=sha256:b8284044bfdb56b9ccb0da4983f785d709826ba67e8e1b745ac2c9b04ebd806a

Observation 758fb7b1-319d-4f91-b1e4-3c63ada85598 · outbound

This paper cites an unresolved cited work.

A proper Euler magic matrix of order $5$ Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:20.327911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:20.327911Z digest=sha256:802e5ea5d7a0a88d73b28eaeae90891c425617fa3941284f96149f82b5ca2a54

Observation 76e48d57-c5fd-4cf8-9c4c-4a52e527d230 · outbound

This paper cites 1, 26–50.

A proper Euler magic matrix of order $5$ 1, 26–50

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:20.491045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:20.491045Z digest=sha256:a1cee5dea6455e69e856aeadd7fb9b323106f333f8944431299ffe805b9b2b84

Observation a427eae9-193e-4752-a3df-4b5cf6e093e6 · outbound

This paper cites Guy,Unsolved problems in number theory, 3rd ed., Problem Books in Mathematics, Springer, New York, 2004.

A proper Euler magic matrix of order $5$ Guy,Unsolved problems in number theory, 3rd ed., Problem Books in Mathematics, Springer, New York, 2004

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:20.608358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:20.608358Z digest=sha256:8a3de59455cd38d537e5739482187143e98a057151ecde85217b59760c1e4168

Observation 86493f17-3f18-4789-9ebe-d714563536ee · outbound

This paper cites an unresolved cited work.

A proper Euler magic matrix of order $5$ Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:20.742504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:20.742504Z digest=sha256:cf1a87c2ce666ebf9a01f5cd0a7ab39bb896c312dd30037c732a4fa69bfeb8d1

Observation 07fd67b8-8242-43cf-b96f-2e7721285745 · outbound

This paper cites an unresolved cited work.

A proper Euler magic matrix of order $5$ Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:20.872223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:20.872223Z digest=sha256:70e5e17af8bddd2c589475326d15681293b6fdcfedbc1f61e41b650b5e101c18

Observation f9d01d73-a6a5-4220-a520-cb7b34b2a001 · outbound

This paper cites Osborne,The generation of all rational orthogonal matrices, The American Mathematical Monthly98(1991), no.

A proper Euler magic matrix of order $5$ Osborne,The generation of all rational orthogonal matrices, The American Mathematical Monthly98(1991), no

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:21.008107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:21.008107Z digest=sha256:a6c3406e4f9b2999b4dd1aa925e046b4755f19912f5caccf013f13066b5d6ae1

Observation c7c33a98-f1eb-4f31-aa86-3e70d58177a4 · outbound

This paper cites 1, 71–82.

A proper Euler magic matrix of order $5$ 1, 71–82

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:21.149017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:21.149017Z digest=sha256:ff920b5c44633071710efe51a166a3ff6b1c217d0895c0d56bfe24bd3f65dcc5

Observation 6737b1cc-ec0d-42c1-bd14-2cff4ec53d12 · outbound

This paper cites 4, 23–29.

A proper Euler magic matrix of order $5$ 4, 23–29

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:21.239905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:21.239905Z digest=sha256:f14dd80c2e7375a4d0a2f6adb3193e4bcb23590e1e11a72a62644d71bf182d8a

Observation 19524137-5845-40bb-b01a-f7eb5ddd7a75 · outbound

This paper cites A parametrization of 8x8 magic squares of squares through octonionic multiplication.

A proper Euler magic matrix of order $5$ A parametrization of 8x8 magic squares of squares through octonionic multiplication

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:21.339213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:21.339213Z digest=sha256:6fcdf96d60a3cbc342af6a28e7dc8d8d0d177f9890de696c53ef03f7eaecdae9

Observation e830447c-f249-477e-b02c-343d561fb465 · outbound

This paper cites 2, 169–183.

A proper Euler magic matrix of order $5$ 2, 169–183

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:21.466017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:21.466017Z digest=sha256:45f10d4af00ea73ea7082012010395b67fcb9313bf8a010c50b9d0cd824bd1f1

Observation 58c0f504-ba5c-4ff7-b516-81524c3f4b57 · outbound

This paper cites Robertson,Magic squares of squares, Mathematics Magazine69(1996), no.

A proper Euler magic matrix of order $5$ Robertson,Magic squares of squares, Mathematics Magazine69(1996), no

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:21.558229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:21.558229Z digest=sha256:962e7703fde7fd43b24020bdb770745ec31206c5106677bb1bdc3f132b0ae422

Observation 98567fcb-eabc-41d8-9d3a-4f38d74725e2 · outbound

This paper cites an unresolved cited work.

A proper Euler magic matrix of order $5$ Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:21.657461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:21.657461Z digest=sha256:3aa2948ec2b5b1eaaf4cefea692009ab0b8dc0aea547f938c95134b657b26076

Observation 059d0637-c3ed-4d25-b3cc-9e9e57dc9c4c · outbound

This paper cites 4, 51–54.

A proper Euler magic matrix of order $5$ 4, 51–54

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:21.760540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:21.760540Z digest=sha256:e1d732d4419bf105366c006d66898a9b829bbad8abd177aede7463155934b806

Observation 3f69826d-9e20-4eb0-a8b5-c71e8f6a1b19 · outbound

This paper cites 8, 1291–1300.

A proper Euler magic matrix of order $5$ 8, 1291–1300

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:21.821012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:21.821012Z digest=sha256:ffbb40554673405fe27bafe372b99f50098628e24fafc3e19b946ccedd631a09

Observation d304f56f-f4a2-4c48-8164-91abb2c38907 · outbound

This paper cites 6, 828–838.

A proper Euler magic matrix of order $5$ 6, 828–838

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T19:29:21.925747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:29:21.925747Z digest=sha256:1751e34af81dafde863b0bdc74251071aae3493fe14bb868550c9eb21581f4a8

Pith citing papers

No inbound Pith citation observations are available.