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Paper Citation Record · LEDGER

Unveiling New Mechanical Couplings in 3D Lattices: Axial-Bending and the Role of Symmetry Breaking

As of 23 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2411.17142.

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

pith.paper-citation-record.v1
2411.17142 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:34:00.492420Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0bdedaa9-ce15-4407-8d50-ca37b3060769 · outbound

This paper cites Symmetry theory from classical crystallography has long been used to relate atomic arrangements to physical properties.

Unveiling New Mechanical Couplings in 3D Lattices: Axial-Bending and the Role of Symmetry Breaking Symmetry theory from classical crystallography has long been used to relate atomic arrangements to physical properties

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:34:00.666861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T12:34:00.449121Z digest=sha256:c25f2882863273af2ffd39db3ca5bd2743dbb5b2bc3f4d61970d7fbdd5eb2e85

Observation 79b5b50b-3ab1-42ce-8293-b49737f58554 · outbound

This paper cites For instance, the pioneering design of an axial-twisting (AT) coupling structure14 was based on a four -fold rotational symmetry along three axes, corresponding to point group 432.

Unveiling New Mechanical Couplings in 3D Lattices: Axial-Bending and the Role of Symmetry Breaking For instance, the pioneering design of an axial-twisting (AT) coupling structure14 was based on a four -fold rotational symmetry along three axes, corresponding to point group 432

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:34:00.649717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T12:34:00.455096Z digest=sha256:56c6838cd92275fe51961423c7123035315ea05840442393ea3dd9e0b1c930b8

Observation ea3c9a42-c10d-4507-9f74-17f844ab3606 · outbound

This paper cites We theoretically demonstrate the AB coupling effect using constitutive equations and relate the lattice geometries to crystallography.

Unveiling New Mechanical Couplings in 3D Lattices: Axial-Bending and the Role of Symmetry Breaking We theoretically demonstrate the AB coupling effect using constitutive equations and relate the lattice geometries to crystallography

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:34:00.633685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T12:34:00.460450Z digest=sha256:fc9d398b206c84bcb7f38dd8cff85407dd9ee4261815058c2d14c971d7d1427c

Observation 8d7f6aa6-a953-47a9-af74-18725bb2205f · outbound

This paper cites Unlike Cauchy’s elasticity, micropolar elasticity introduces three additional rotational degrees of freedom (DOFs) in the displacement field of a given particle34.

Unveiling New Mechanical Couplings in 3D Lattices: Axial-Bending and the Role of Symmetry Breaking Unlike Cauchy’s elasticity, micropolar elasticity introduces three additional rotational degrees of freedom (DOFs) in the displacement field of a given particle34

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:34:00.616482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T12:34:00.465329Z digest=sha256:9309d1288321e10e36d99b72d67a15dc21490f54bcd60470914578c47ec9c45c

Observation 245ce945-0f79-409f-91f7-8f57b2968ea0 · outbound

This paper cites We evaluate the effective moduli of non -centrosymmetric achiral (‘ mm2’) and chiral (‘1’) lattices, assuming a fixed slenderness ratio of 𝑡 𝐿⁄ = 0.1 with 𝐿 = 10𝑚𝑚.

Unveiling New Mechanical Couplings in 3D Lattices: Axial-Bending and the Role of Symmetry Breaking We evaluate the effective moduli of non -centrosymmetric achiral (‘ mm2’) and chiral (‘1’) lattices, assuming a fixed slenderness ratio of 𝑡 𝐿⁄ = 0.1 with 𝐿 = 10𝑚𝑚

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:34:00.598273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T12:34:00.470351Z digest=sha256:81be483d13078a58c37c72998ffafb3f40fb4d9e64d94920813d042686faa57f

Observation e126fc99-95aa-46a9-86ee-c711ba1c5d9b · outbound

This paper cites size effect.

Unveiling New Mechanical Couplings in 3D Lattices: Axial-Bending and the Role of Symmetry Breaking size effect

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:34:00.580626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T12:34:00.477300Z digest=sha256:e2fe6e9d9cf52b0f1ec12aa4a47392c7ea29c9b194f2c6174cdc889dd032b6b4

Observation f3a46298-54e2-44ad-a0df-803b05e10f59 · outbound

This paper cites an unresolved cited work.

Unveiling New Mechanical Couplings in 3D Lattices: Axial-Bending and the Role of Symmetry Breaking Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:34:00.564541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T12:34:00.482794Z digest=sha256:8d5eddbca7bb85326592d1d1de62f6ecaea2054c23b8c5c598ff6436417111d6

Observation d81db4eb-0f0c-4e09-a32b-5f9274370ca1 · outbound

This paper cites an unresolved cited work.

Unveiling New Mechanical Couplings in 3D Lattices: Axial-Bending and the Role of Symmetry Breaking Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:34:00.548657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T12:34:00.487627Z digest=sha256:2c17b5165e8eb33f5afbb791c6b25590c6ded549a1e5606a621d1ed5126d7098

Observation 779a7fed-1b7f-4eba-ba5c-a48e1782f2e2 · outbound

This paper cites an unresolved cited work.

Unveiling New Mechanical Couplings in 3D Lattices: Axial-Bending and the Role of Symmetry Breaking Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:34:00.531108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Pith citing papers

No inbound Pith citation observations are available.