Paper Citation Record · LEDGER

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions

As of 21 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2412.09702.

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

pith.paper-citation-record.v1
2412.09702 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:56:52.246929Z

measured 31 of 31 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

31 of 31 outbound references displayed

verified exact14
verified fuzzy6
unresolved6
parse uncertain0
malformed identifier2
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 67187f7c-3c94-4399-9349-f04de39a35a7 · outbound

This paper cites In: Kienzler R, Ott I, Altenbach H (eds) Theories of Plates and Shells: Critical Review and New Applications, Springer, Berlin/Heidelberg, pp 1–12.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions In: Kienzler R, Ott I, Altenbach H (eds) Theories of Plates and Shells: Critical Review and New Applications, Springer, Berlin/Heidelberg, pp 1–12

Reference 1

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.539373Z

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.

Observation 64f1f11b-f0cc-490e-864e-6fc4cfe1c75e · outbound

This paper cites Springer-Verlag, Berlin/Heidelberg.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Springer-Verlag, Berlin/Heidelberg

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-11T16:56:52.097208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5aafc05a-d6e7-442a-8cdb-34bc64b1011d · outbound

This paper cites Comptes Rendus – Mecanique 346, 320–335.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Comptes Rendus – Mecanique 346, 320–335

Reference 3

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.510593Z

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.

Observation 2af7385a-17eb-4031-a855-950b89d668b2 · outbound

This paper cites Dover Publications, New York, NY.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Dover Publications, New York, NY

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:56:53.354299Z

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.

Observation d2339ade-af87-4970-8db3-256c7e7bbb93 · outbound

This paper cites McGraw-Hill, New York, NY.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions McGraw-Hill, New York, NY

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:56:53.334060Z

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.

Observation 8e521cc2-7989-4775-9fc5-2536017d0d48 · outbound

This paper cites Int J Solids Struct 69-70, 152–168.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Int J Solids Struct 69-70, 152–168

Reference 6

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.494557Z

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.

Observation 267e17fd-5ac8-4807-a501-8ca18e022492 · outbound

This paper cites Release 1.2.0 of 2024-03-15.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Release 1.2.0 of 2024-03-15

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:56:53.317271Z

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.

Observation 44446bfc-bd12-4a86-8fe5-00e926700d8d · outbound

This paper cites Theor Appl Mech Lett 8, 351–354.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Theor Appl Mech Lett 8, 351–354

Reference 8

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.478634Z

Source-reported events for the cited work

correction dated 2021-03-09. Source: crossref record 10.1016/j.taml.2021.100231->10.1016/j.taml.2018.05.008:correction, observed 2026-07-11T03:10:46.1481+00:00. This notice travels one citation hop only.

Observation d162647a-5319-4147-96f3-a6330f208c50 · outbound

This paper cites J Comput Phys 493, 112466.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions J Comput Phys 493, 112466

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T16:56:52.136961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ead5b4f-33e1-4d36-aded-5095d0ecbc18 · outbound

This paper cites John Wiley & Sons, New York, NY.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions John Wiley & Sons, New York, NY

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:56:53.301157Z

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.

Observation b912921c-b038-4686-94c5-85c0d961317f · outbound

This paper cites Int J Solids Struct 49, 2887–2897.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Int J Solids Struct 49, 2887–2897

Reference 11

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.462316Z

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.

Observation f1dbfa73-003c-4683-97cc-bc236f7d6b9e · outbound

This paper cites Eur J Mech A/Solids 101, 104978.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Eur J Mech A/Solids 101, 104978

Reference 12

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T16:56:53.163754Z

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.

Observation 732198bb-e349-4ca6-b353-0d832310df80 · outbound

This paper cites Compos Struct 279, 114728.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Compos Struct 279, 114728

Reference 13

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T16:56:53.064283Z

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.

Observation ebe8e5dc-ca33-4c6d-8ff5-ace66dec420c · outbound

This paper cites Math Mech Solids 22, 1639–1653.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Math Mech Solids 22, 1639–1653

Reference 14

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.444884Z

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.

Observation 5cb21d89-02ef-4732-b8fd-86d194116a95 · outbound

This paper cites Int J Solids Struct 51, 3177–3183.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Int J Solids Struct 51, 3177–3183

Reference 15

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.428504Z

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.

Observation 832dc892-4de0-4345-a2b9-4cc4e76a8a57 · outbound

This paper cites Int J Solids Struct 51, 4572–4579.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Int J Solids Struct 51, 4572–4579

Reference 16

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.411113Z

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.

Observation d916c192-2789-43cc-8b15-3bfb9cd9e3d9 · outbound

This paper cites PhD thesis, University of Louisiana at Lafayette.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions PhD thesis, University of Louisiana at Lafayette

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-11T16:56:52.986367Z

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.

Observation 8ef8365b-ad24-4bb6-9292-f3888d264949 · outbound

This paper cites Orthonormal eigenfunction expansions for sixth-order boundary value problems.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Orthonormal eigenfunction expansions for sixth-order boundary value problems

Reference 18

Resolution: malformed identifier; local_arxiv, observed 2026-08-11T16:56:52.905578Z

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.

Observation c504a7d5-0470-433d-8460-a015c574d52a · outbound

This paper cites Int J Num Meth Fluids 59, 945–965.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Int J Num Meth Fluids 59, 945–965

Reference 19

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.394400Z

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.

Observation 7c53a5f1-e0b7-4aed-a1fc-0dc13a6e1f51 · outbound

This paper cites In: Altenbach H, Pouget J, Rousseau M, Collet B, Michelitsch T (eds) Generalized 18 Z.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions In: Altenbach H, Pouget J, Rousseau M, Collet B, Michelitsch T (eds) Generalized 18 Z

Reference 20

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.376606Z

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.

Observation 6fdfe5a8-79d7-4a6a-a914-a5f22c412708 · outbound

This paper cites J Mech Phys Solids 48, 175–209.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions J Mech Phys Solids 48, 175–209

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T16:56:52.197247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a25af567-a4c4-498b-a1f4-58c5cb7cd066 · outbound

This paper cites Int J Non-Linear Mech 40, 395–409.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Int J Non-Linear Mech 40, 395–409

Reference 22

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.348099Z

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.

Observation b642c728-daa9-4896-a0db-5510096dd7c1 · outbound

This paper cites Adv Appl Mech 44, 73–168.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Adv Appl Mech 44, 73–168

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T16:56:52.206900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0151c800-d40a-47be-b349-b3ebc8b1d448 · outbound

This paper cites Macmillan and Co., London.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Macmillan and Co., London

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:56:53.284864Z

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.

Observation 0e57eb37-58c8-40b5-a80c-ba021280c7e7 · outbound

This paper cites Math Mech Solids 20, 998–1010.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Math Mech Solids 20, 998–1010

Reference 25

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.321419Z

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.

Observation 21a6bf76-5dd7-4c10-b71d-2bf365f3e40a · outbound

This paper cites McGraw- Hill, New York, NY.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions McGraw- Hill, New York, NY

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:56:53.263779Z

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.

Observation d452fa91-6bf8-4ff0-8609-49d4a7e9e6b8 · outbound

This paper cites Comput Model Eng Sci 124, 527–544.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Comput Model Eng Sci 124, 527–544

Reference 27

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T16:56:52.875370Z

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.

Observation 6d5c9c5a-3eab-49c5-a5b2-643bf8b4d202 · outbound

This paper cites Z Angew Math Mech (ZAMM) 102, e202200132.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Z Angew Math Mech (ZAMM) 102, e202200132

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T16:56:52.231837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38ba9a07-1a31-4f27-8f7a-69f9566de8ab · outbound

This paper cites Mech Res Commun126, 104000.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Mech Res Commun126, 104000

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T16:56:52.236874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75f60ec6-47a2-4517-84eb-c5527255202e · outbound

This paper cites Appl Sci 13, 10025.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Appl Sci 13, 10025

Reference 30

Resolution: verified exact; doi, observed 2026-08-11T16:56:52.291660Z

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.

Observation 7347b552-e405-470e-a7bc-b5cd75132f1a · outbound

This paper cites Eur J Mech A/Solids 101, 105075.

Series solutions for clamped peridynamic beams using fourth-order eigenfunctions Eur J Mech A/Solids 101, 105075

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T16:56:52.246929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.