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Paper Citation Record · LEDGER

On a Diophantine Equation Involving Lucas Numbers

As of 21 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2506.14379.

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

pith.paper-citation-record.v1
2506.14379 v4

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:26:30.524529Z

measured 13 of 13 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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c99714e4-ea51-4a00-93e9-1966a096bd4c · outbound

This paper cites an unresolved cited work.

On a Diophantine Equation Involving Lucas Numbers Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:26:30.995434Z

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.

source=pdf_text observed=2026-08-07T00:26:28.700237Z digest=sha256:34248002e2a551966837e91f7485a811d52147cab6ec9e5c09cdb16d9904f5c4

Observation efdc5ffa-fc41-4ec5-968f-c2ce3acd3331 · outbound

This paper cites On the Diophantine Equation $F_n = F_l^k (F_l^m-1)$.

On a Diophantine Equation Involving Lucas Numbers On the Diophantine Equation $F_n = F_l^k (F_l^m-1)$

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T00:26:30.775078Z

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.

source=pdf_text observed=2026-08-07T00:26:28.785952Z digest=sha256:85f9a95c779c0fdf8589467d0dbf761c40c6e6ed63ec64024b7ac01b39f5750d

Observation c1b7fc32-19f0-4092-bc46-8e206c8dc2e0 · outbound

This paper cites an unresolved cited work.

On a Diophantine Equation Involving Lucas Numbers Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:26:30.983088Z

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.

source=pdf_text observed=2026-08-07T00:26:28.940134Z digest=sha256:d57e530802e76e72b7596eaa4c7f21ac0d83c97aed26592fea8d25145fdd651c

Observation fb3f7629-a572-4dfc-9b7d-11d37ffd64a3 · outbound

This paper cites Wiley, New York (2001).

On a Diophantine Equation Involving Lucas Numbers Wiley, New York (2001)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:26:30.971186Z

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.

source=pdf_text observed=2026-08-07T00:26:29.157853Z digest=sha256:30b1fe0a4e534b8e726b157e2f2c29917869958e306840135cfcdc1783ca8fe9

Observation 6b0d6464-4e5d-47da-8c47-490dff5cf4ee · outbound

This paper cites Fibonacci Q.52(4), 290–295 (2014).

On a Diophantine Equation Involving Lucas Numbers Fibonacci Q.52(4), 290–295 (2014)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:26:30.958554Z

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.

source=pdf_text observed=2026-08-07T00:26:29.293019Z digest=sha256:9165a04f2d289f08a040a974f7e3a7f0aa0dac24dbe0c7189052de1cedaa2abf

Observation 4a6a0bd3-ec99-43e6-aef5-8ffbe5064693 · outbound

This paper cites Duprat, Paris (1798).

On a Diophantine Equation Involving Lucas Numbers Duprat, Paris (1798)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:26:30.945470Z

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.

source=pdf_text observed=2026-08-07T00:26:29.438055Z digest=sha256:da454b18c5c6fb49d4c9479564b772644759ab54d4013944defaf0eb01e865a9

Observation 3535ecad-8fd9-489c-a974-30eee425f8b1 · outbound

This paper cites an unresolved cited work.

On a Diophantine Equation Involving Lucas Numbers Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:26:30.936657Z

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.

source=pdf_text observed=2026-08-07T00:26:29.618075Z digest=sha256:a6630adaa99f9cfd5b812c3308b9a7c7e7cd82a64a6c1ff01902141cd5dd07e1

Observation 7a385230-d00a-4ade-9001-c0f6b537ef5c · outbound

This paper cites Fibonacci Q.45, 98–103 (2007).

On a Diophantine Equation Involving Lucas Numbers Fibonacci Q.45, 98–103 (2007)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:26:30.927373Z

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.

source=pdf_text observed=2026-08-07T00:26:29.764169Z digest=sha256:43c890ff1fc1cc39b4b6dfb391e8ef7a791c97c338fdeafda8c233cc2dfe68f9

Observation 26b8a271-ed73-43c4-8768-b3e6eaf20857 · outbound

This paper cites an unresolved cited work.

On a Diophantine Equation Involving Lucas Numbers Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:26:30.917336Z

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.

source=pdf_text observed=2026-08-07T00:26:29.940165Z digest=sha256:79f01903e2a89d7e13769175d8affee810aa640a140f03bed424317c6bd8cdac

Observation ab7899a4-5e90-4e8a-91d5-dac8a6e840e5 · outbound

This paper cites an unresolved cited work.

On a Diophantine Equation Involving Lucas Numbers Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:26:30.906973Z

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.

source=pdf_text observed=2026-08-07T00:26:30.058632Z digest=sha256:a5e70df86aa2ea0fa21a7df16ebb5b6117927eae67d5f87f89b9ab47df694eb3

Observation c0f56296-8c47-4e49-991a-8e3f90193328 · outbound

This paper cites AIMS Math.6(11), 11733–11748 (2021).

On a Diophantine Equation Involving Lucas Numbers AIMS Math.6(11), 11733–11748 (2021)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:26:30.897628Z

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.

source=pdf_text observed=2026-08-07T00:26:30.266415Z digest=sha256:1ca56fd885a4442eb67a67de563dadf464cc45939a6704a8920fd85d0be9bfc1

Observation 9103af48-fdf9-43e3-b093-2b1778f2d61c · outbound

This paper cites Fibonacci Q.56(4), 296–302 (2018).

On a Diophantine Equation Involving Lucas Numbers Fibonacci Q.56(4), 296–302 (2018)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:26:30.887506Z

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.

source=pdf_text observed=2026-08-07T00:26:30.415136Z digest=sha256:b3c285d62719d6eb7d8c63161130dc0a869f6e20916bfc57b905b6e4decec8ff

Observation 812eadce-93c7-404d-9164-a1f81d893641 · outbound

This paper cites an unresolved cited work.

On a Diophantine Equation Involving Lucas Numbers Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:26:30.878032Z

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.

source=pdf_text observed=2026-08-07T00:26:30.524529Z digest=sha256:feeea5702305bc7225cdb16fb373285aa313bfcaf9ac53e212b4895f66295150

Pith citing papers

No inbound Pith citation observations are available.