Paper Citation Record · LEDGER

A New Framework for Unidimensional Structures Based on Generalised Continua

As of 14 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2507.13098.

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

pith.paper-citation-record.v1
2507.13098 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:41:37.864475Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

41 of 41 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7854c009-7229-48ca-9680-dd32bdcdf5f5 · outbound

This paper cites The Da Vinci-Euler-Bernoulli Beam Theor y.

A New Framework for Unidimensional Structures Based on Generalised Continua The Da Vinci-Euler-Bernoulli Beam Theor y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:44.860858Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 27c2a227-82f5-47c1-8f88-700e70b788c2 · outbound

This paper cites Bernoulli.

A New Framework for Unidimensional Structures Based on Generalised Continua Bernoulli

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:44.663317Z

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Observation 5a6582a8-4dd4-4947-bf94-5bd6b62464b6 · outbound

This paper cites Véritable Hypothèse de La Résistance Des Solides, Avec La Démonstration de La Courbure Des Corps Qui Font Ressort.

A New Framework for Unidimensional Structures Based on Generalised Continua Véritable Hypothèse de La Résistance Des Solides, Avec La Démonstration de La Courbure Des Corps Qui Font Ressort

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:44.498236Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c869ba9c-2f8c-4fe6-b2d0-d8d50bd5a684 · outbound

This paper cites Sur Une Généralisation de La Notion de Courbu re de Riemann et Les Espaces à Torsion.

A New Framework for Unidimensional Structures Based on Generalised Continua Sur Une Généralisation de La Notion de Courbu re de Riemann et Les Espaces à Torsion

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:44.359254Z

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Observation 43241a74-def2-43b3-8187-d4c7f40a6118 · outbound

This paper cites The Equations of an Isotropic Elastic Solid in Polar and Cylindrical Co-Ordinates Their Solution and Application.

A New Framework for Unidimensional Structures Based on Generalised Continua The Equations of an Isotropic Elastic Solid in Polar and Cylindrical Co-Ordinates Their Solution and Application

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:44.177010Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 10fabb70-8d59-4673-b492-467d4d0c026c · outbound

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A New Framework for Unidimensional Structures Based on Generalised Continua Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:41:43.962613Z

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Observation da3423ce-18b0-4728-81af-dc1b4754daaa · outbound

This paper cites T wo-Scale Geomet ric Modelling for Defective Media.

A New Framework for Unidimensional Structures Based on Generalised Continua T wo-Scale Geomet ric Modelling for Defective Media

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:43.614093Z

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Observation fe9a5220-f5c3-4092-93b4-be9494f5da82 · outbound

This paper cites Who Developed the So-Called Timoshenko B eam Theory?.

A New Framework for Unidimensional Structures Based on Generalised Continua Who Developed the So-Called Timoshenko B eam Theory?

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:43.409171Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e97d4ae2-a67b-40f9-a7a5-3546db6cff49 · outbound

This paper cites an unresolved cited work.

A New Framework for Unidimensional Structures Based on Generalised Continua Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:41:43.238485Z

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Observation 17bc5bc8-40af-4e6f-bcad-634f7d80ae05 · outbound

This paper cites Theory of Micropolar Elasticity.

A New Framework for Unidimensional Structures Based on Generalised Continua Theory of Micropolar Elasticity

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:43.096608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d1fe9f28-61e8-4bb5-af8e-2f3de38639e0 · outbound

This paper cites Mechanics of Micromorphic Continua.

A New Framework for Unidimensional Structures Based on Generalised Continua Mechanics of Micromorphic Continua

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:42.966548Z

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Observation 0e27fe46-5e04-4f91-b9ad-7213c175dd35 · outbound

This paper cites Foundations of Micropolar Thermoelast icity: Intern. Cent. for Mech. Studies.

A New Framework for Unidimensional Structures Based on Generalised Continua Foundations of Micropolar Thermoelast icity: Intern. Cent. for Mech. Studies

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:42.814269Z

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Observation 39ff0c43-f632-49e4-b86a-aacb40cb894e · outbound

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A New Framework for Unidimensional Structures Based on Generalised Continua Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:41:42.673891Z

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Observation 6ef208a8-05ba-405d-822f-41142affe30c · outbound

This paper cites A Micromorphic Approac h to Dislocation Theory and Its Rela- tion to Several Existing Theories.

A New Framework for Unidimensional Structures Based on Generalised Continua A Micromorphic Approac h to Dislocation Theory and Its Rela- tion to Several Existing Theories

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:42.553964Z

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Observation 92a400c0-20ed-4f09-a7cb-449c477d6428 · outbound

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A New Framework for Unidimensional Structures Based on Generalised Continua Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:41:42.387883Z

Source-reported events for the cited work

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Observation b5daddd2-962f-4e5f-b310-9b47bd118158 · outbound

This paper cites I. Liquid Crystals. On the Theory of Liquid Crystals.

A New Framework for Unidimensional Structures Based on Generalised Continua I. Liquid Crystals. On the Theory of Liquid Crystals

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:42.274576Z

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Observation 3681e93c-5503-4908-b34b-dd63116f5792 · outbound

This paper cites an unresolved cited work.

A New Framework for Unidimensional Structures Based on Generalised Continua Unresolved cited work

Reference 17

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Observation 907f0361-2b1f-4dd1-ac05-eb234e6641b4 · outbound

This paper cites La Méthode Des Puissances Virtuelles En Mé canique Des Milieux Continus, Pre- miere Partie: Théorie Du Second Gradient.

A New Framework for Unidimensional Structures Based on Generalised Continua La Méthode Des Puissances Virtuelles En Mé canique Des Milieux Continus, Pre- miere Partie: Théorie Du Second Gradient

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:42.109159Z

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Observation 0966334e-137b-4964-9100-29528afd37f5 · outbound

This paper cites The Method of Virtual Power in the Mechanic s of Continuous Media, I: Second- gradient Theory.

A New Framework for Unidimensional Structures Based on Generalised Continua The Method of Virtual Power in the Mechanic s of Continuous Media, I: Second- gradient Theory

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:41.973412Z

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Observation 60bd9289-9e0a-491a-bc8c-91e2a4955a8d · outbound

This paper cites Ghavanloo and P.

A New Framework for Unidimensional Structures Based on Generalised Continua Ghavanloo and P

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:41.848402Z

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Observation 61467f90-5b72-4a9b-b333-192885aceaad · outbound

This paper cites Gonzalez and A.

A New Framework for Unidimensional Structures Based on Generalised Continua Gonzalez and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:41.617225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1a9de2e8-b2d9-4809-a32d-bcc4a4e4180e · outbound

This paper cites Buckling of Timos henko Beam under T wo-Parameter Elastic Foundations.

A New Framework for Unidimensional Structures Based on Generalised Continua Buckling of Timos henko Beam under T wo-Parameter Elastic Foundations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:41.382854Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 52887588-d649-4bf6-94a5-aee540ac8099 · outbound

This paper cites de Lagrange.

A New Framework for Unidimensional Structures Based on Generalised Continua de Lagrange

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:41.172954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fd60ae58-0404-4376-8b2e-0b28c9a37d6a · outbound

This paper cites Revisiting Bending Theories f or Gradient Elastic Beams.

A New Framework for Unidimensional Structures Based on Generalised Continua Revisiting Bending Theories f or Gradient Elastic Beams

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:40.987697Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3c4ac2ec-0bc0-41eb-a7dc-5f6297f54d77 · outbound

This paper cites Micro-Structure in Linear Elasticity.

A New Framework for Unidimensional Structures Based on Generalised Continua Micro-Structure in Linear Elasticity

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:40.761819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 11abf12b-9784-4e25-99dc-1a7fbfc2ef43 · outbound

This paper cites Second Gradient of Strain and Surface-T ension in Linear Elasticity.

A New Framework for Unidimensional Structures Based on Generalised Continua Second Gradient of Strain and Surface-T ension in Linear Elasticity

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:40.531324Z

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Observation 66f7cf1f-2bbe-43f3-bcef-41d07726fb18 · outbound

This paper cites On First Strain-Gradient Theories in Linear Elasticity.

A New Framework for Unidimensional Structures Based on Generalised Continua On First Strain-Gradient Theories in Linear Elasticity

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:40.354478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4ab059f7-639e-4725-9ddf-fa18b74d114d · outbound

This paper cites Existence of Minimizers for a Finite-Strain Mi cromorphic Elastic Solid.

A New Framework for Unidimensional Structures Based on Generalised Continua Existence of Minimizers for a Finite-Strain Mi cromorphic Elastic Solid

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:40.118705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 86cc5bb4-1971-49c7-a02c-913efd0149bc · outbound

This paper cites A Unifying Perspective: The Relaxed Linear Micromorphic Continuum.

A New Framework for Unidimensional Structures Based on Generalised Continua A Unifying Perspective: The Relaxed Linear Micromorphic Continuum

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:39.845797Z

Source-reported events for the cited work

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Observation 970613e0-e855-4c86-9254-d35f2abe5eff · outbound

This paper cites Bending and Stability Anal- ysis of Gradient Elastic Beams.

A New Framework for Unidimensional Structures Based on Generalised Continua Bending and Stability Anal- ysis of Gradient Elastic Beams

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:39.616730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2fcdac16-823f-4e54-9458-f9262bfbc1ee · outbound

This paper cites Ueber Die Fortpﬂanzungsgeschwindigk eiten Kleiner Schwingungen in Einem Unbegrenzten Isotropen Kreiscylinder.

A New Framework for Unidimensional Structures Based on Generalised Continua Ueber Die Fortpﬂanzungsgeschwindigk eiten Kleiner Schwingungen in Einem Unbegrenzten Isotropen Kreiscylinder

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:39.493702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4c721e65-2e16-4009-877e-153ea574c798 · outbound

This paper cites Analytical So lutions of the Cylindrical Bending Prob- lem for the Relaxed Micromorphic Continuum and Other Genera lized Continua.

A New Framework for Unidimensional Structures Based on Generalised Continua Analytical So lutions of the Cylindrical Bending Prob- lem for the Relaxed Micromorphic Continuum and Other Genera lized Continua

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:39.389108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2acd17cd-8fee-41ab-aec4-8797aaca484b · outbound

This paper cites an unresolved cited work.

A New Framework for Unidimensional Structures Based on Generalised Continua Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:41:39.265498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d920ee55-2d2c-4028-91e5-67b6fbcda5d2 · outbound

This paper cites an unresolved cited work.

A New Framework for Unidimensional Structures Based on Generalised Continua Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:41:39.155983Z

Source-reported events for the cited work

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Observation a8eadf41-40c4-4754-9a30-ffd63cdf975a · outbound

This paper cites A Computational Approach to Identify the Material Parameters of the Relaxed Micromorphic Model.

A New Framework for Unidimensional Structures Based on Generalised Continua A Computational Approach to Identify the Material Parameters of the Relaxed Micromorphic Model

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:39.039638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fd9c3cb7-cc72-4689-b5d6-118773fa9475 · outbound

This paper cites On the Correction for Shear of the Diﬀ erential Equation for Transverse Vibra- tions of Prismatic Bars.

A New Framework for Unidimensional Structures Based on Generalised Continua On the Correction for Shear of the Diﬀ erential Equation for Transverse Vibra- tions of Prismatic Bars

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:38.912019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fd5471c9-85b7-4628-9fac-7e5d5107aa5a · outbound

This paper cites Elastic Materials with Couple-Stresses.

A New Framework for Unidimensional Structures Based on Generalised Continua Elastic Materials with Couple-Stresses

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:38.730481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 725365e5-fe61-437f-8ad7-87552736e337 · outbound

This paper cites Theories of Elasticity with Couple-Stre ss.

A New Framework for Unidimensional Structures Based on Generalised Continua Theories of Elasticity with Couple-Stre ss

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:38.554116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f3a8fd05-efb2-4636-be05-455f59d6ac36 · outbound

This paper cites da Vinci.

A New Framework for Unidimensional Structures Based on Generalised Continua da Vinci

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:38.445540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f1cf2834-e5b3-4b53-b038-cbb53513a845 · outbound

This paper cites Sur l’équilibre Des Corps Élastiques Mul tiplement Connexes.

A New Framework for Unidimensional Structures Based on Generalised Continua Sur l’équilibre Des Corps Élastiques Mul tiplement Connexes

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:38.343005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bdfcb1b0-fb51-48df-bb0a-c757c0a782d5 · outbound

This paper cites A Micro Scale Timoshenko B eam Model Based on Strain Gra- dient Elasticity Theory.

A New Framework for Unidimensional Structures Based on Generalised Continua A Micro Scale Timoshenko B eam Model Based on Strain Gra- dient Elasticity Theory

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:41:38.209829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

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