Paper Citation Record · LEDGER

An Efficient Numerical Method for an Approximate Solution of the Beam Equation

As of 8 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2506.03794.

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

pith.paper-citation-record.v1
2506.03794 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:02:00.135818Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

18 of 18 outbound references displayed

verified exact0
verified fuzzy14
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation afb88082-314c-486f-81bd-94ae05864460 · outbound

This paper cites an unresolved cited work.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:02:03.364130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 20e46c89-ae1f-497d-801c-838c39dffd41 · outbound

This paper cites Thesis (UK: University of Bristol), 2000.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Thesis (UK: University of Bristol), 2000

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:03.211427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation befd6786-a053-499d-97fc-fbdede39be61 · outbound

This paper cites an unresolved cited work.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:02:03.079105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d6a587d9-c8f3-4b51-9c20-eb03a3c61ecc · outbound

This paper cites Inverse Problems, 29 015006, 2013.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Inverse Problems, 29 015006, 2013

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:02.984378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c5f73e15-c461-4f3b-95ef-662865191dd6 · outbound

This paper cites and Sankar A, A Finite Element Solution of the Beam Equation via MATLAB.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation and Sankar A, A Finite Element Solution of the Beam Equation via MATLAB

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:02.842930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 76af95ce-8722-4ffc-a3c4-ca316d7d66a6 · outbound

This paper cites CRC Press, 2000.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation CRC Press, 2000

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:02.693853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bd07893b-b5c3-4b24-b02f-c086b72d54aa · outbound

This paper cites an unresolved cited work.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:02:02.534380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 34f5683c-9c8e-4f03-9dab-301ead5f6f22 · outbound

This paper cites Automatica 71 (2016) 106- 117, 2016.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Automatica 71 (2016) 106- 117, 2016

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:02.436045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0ca66b39-efb3-4fcd-bfc9-a11dfe9c8bf4 · outbound

This paper cites Inverse Ill-posed Probl.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Inverse Ill-posed Probl

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:02.310264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 851fceeb-f8ee-409c-a598-e843586780dc · outbound

This paper cites Mathematics in Engineering, 6(1), 137–154, 2024.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Mathematics in Engineering, 6(1), 137–154, 2024

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:02.217058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b460d62e-1f7b-4ee1-929e-d6ff72ff5562 · outbound

This paper cites CRC Press, 2017.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation CRC Press, 2017

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:01.837162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4ea2f977-86b6-42dd-adf6-92ed3bd005c9 · outbound

This paper cites Springer, 2011.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Springer, 2011

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:01.311088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f1f17b5e-d7ea-4b87-bfd8-03ea51831192 · outbound

This paper cites Cambridge University Press, 2012.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Cambridge University Press, 2012

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:01.183373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b528c2a5-7dc4-438b-9e06-64ec6c57de01 · outbound

This paper cites an unresolved cited work.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:02:00.827920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8a7045a1-f23a-4453-b252-f98961abc795 · outbound

This paper cites Wiley, 2020.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Wiley, 2020

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:00.556860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ecdf17f9-cf58-4b99-8675-3722af1a1f64 · outbound

This paper cites Applied Math- ematics Letters, vol.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Applied Math- ematics Letters, vol

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:00.400991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a87adb36-e86a-4588-b487-554c06f2dd6c · outbound

This paper cites 2nd ed, Springer, New York, 2021.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation 2nd ed, Springer, New York, 2021

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:00.290771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1565a224-5fb9-4780-98e0-f04c2b13f5e9 · outbound

This paper cites Rhode Island: American Mathematical Society, 2002.

An Efficient Numerical Method for an Approximate Solution of the Beam Equation Rhode Island: American Mathematical Society, 2002

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:02:00.221085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.