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Paper Citation Record · LEDGER

On a Diophantine Equation Involving Lucas Numbers

As of 12 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 2026-08-11T06:34:44.6726+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

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:28.700237Z digest=sha256:c4b02f6bb9ebc857a8bc914b8ebbb0a5da7737cb5f51d09f8e08ce7c4dfedcad

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:28.785952Z digest=sha256:849ddce8dccfb09ff49302843439b5477067e4f9ef38c22a5d7ab1edb081f900

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:28.940134Z digest=sha256:c3977347ae795e55470b87cc0dc10d2f3e2b0fe3c29d42cda7bfb5583381faeb

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:29.157853Z digest=sha256:baf4c82df6305d326036d381e14b62085a43cfdc34a085bf7759323c15f44cdd

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:29.293019Z digest=sha256:af6e642113cebcbd07b53bee926a365d18365bf82f4c802649ddf14c824c21dc

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:29.438055Z digest=sha256:006eeff96d9475037ddf53d5248d618c6278829e9b66ede014bcdbe4962ff952

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:29.618075Z digest=sha256:bcae70dca47c3df72c6e145117c6164d0af8600be0a1cb74b025b7c3df64e476

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:29.764169Z digest=sha256:4d7579eae8bd854654a99bdf0abb35fd5299c5add8c0a820f34b7a40e4ae9099

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:29.940165Z digest=sha256:1be714e4ee9b3b87e3f2b54de6735aa7b6bdd03cb568d976727ebd91808f1a52

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:30.058632Z digest=sha256:6109e327754bbec3fa2b8718898ebb542c5d81f4e743c26aae85947200419762

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:30.266415Z digest=sha256:9e7705829f24fa494fce4ff01574185cbccfc2874526e99725672161ed7ad198

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:30.415136Z digest=sha256:b4391e9b557bf252266ad663b4ed63d387337557622e06420ccde05af2d0b753

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T00:26:30.524529Z digest=sha256:6841740b63e915bda0c938a7763956cf5d8510b71178bfb88b124deddf7d7297

Pith citing papers

No inbound Pith citation observations are available.