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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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:28.700237Z digest=sha256:08fc843e1e8e4b431a844aedd0fc31217369a68fdaaeffa58deb6bbde9382edd

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:28.785952Z digest=sha256:9b19d900438348ffca3c774a2080acbc1c5265c1985665405c642af4e2456b2f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:28.940134Z digest=sha256:4c455bf6d9cc641ce91b39ecdb0519df36ed8954da10b69a4223bc7d00200b6c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:29.157853Z digest=sha256:68200ca85596d2e01e35b05859829ff1cb27bd93af76948545efb6ccdd05eab4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:29.293019Z digest=sha256:21b4e6fdf4cf2d06ce14c5d00ee3af49451bec26c2f7f9708878f0f4d1c31ef9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:29.438055Z digest=sha256:0b38d88efc4dbbc508eee8413ba693c46459dc28cab9366d640d7cb04328442f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:29.618075Z digest=sha256:9ead7c6b4e185d63fb4ac4edae74d3c12ca13be05cb375205f80a94e3127049e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:29.764169Z digest=sha256:b7865b414b825e1fa606899b58c3bd103e213c836d1ab40eaf30fac3c0fc0c90

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:29.940165Z digest=sha256:06321f5305d8b8d77db52a2ff487c1b5c2aeafe9abfd6d65a2938f7976cfbfd5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:30.058632Z digest=sha256:8ed93d61758675264d00dc2a315d1f5ca90e3d8eaa8be3f492e467c37af9d7b8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:30.266415Z digest=sha256:a2efa22af92584a13b8d44bbde29e9d8448be79d7c27b0e32b5dc019c8152d0c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:30.415136Z digest=sha256:719e66034e41e86a8674829e7a09964304583de38e49c37acdd47150436e12de

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T00:26:30.524529Z digest=sha256:6e07e3c5de29946d5f67622b377b81eb055a6a0c475829f00e81172e9599caa4

Pith citing papers

No inbound Pith citation observations are available.