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Paper Citation Record · LEDGER

Second-order prestress stability and third-order rigidity of polyhedral surfaces

As of 22 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.22019.

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

pith.paper-citation-record.v1
2506.22019 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:25:44.977244Z

measured 30 of 30 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

30 of 30 outbound references displayed

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  • verified fuzzy19
  • unresolved9
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e8debe97-ae25-45f2-9d78-460fb301878b · outbound

This paper cites Sufficient conditions for the extendibility of an n-th order flex of polyhedra.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Sufficient conditions for the extendibility of an n-th order flex of polyhedra

Reference 1

Resolution
verified fuzzy
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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.

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Observation 7a320905-5d27-4574-8610-484359872176 · outbound

This paper cites Implicit Function Theorem for Systems of Polynomial Equations with Vanishing Jacobian and Its Application to Flexible Polyhedra and Frameworks.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Implicit Function Theorem for Systems of Polynomial Equations with Vanishing Jacobian and Its Application to Flexible Polyhedra and Frameworks

Reference 2

Resolution
verified fuzzy
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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.

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Observation fdc07df9-a8a3-448a-ac4e-4f2ee2695bd3 · outbound

This paper cites Local extrema of analytic functions.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Local extrema of analytic functions

Reference 3

Resolution
verified fuzzy
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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.

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Observation 1a0e4f36-f58a-4b10-aa91-5a437744f461 · outbound

This paper cites an unresolved cited work.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Unresolved cited work

Reference 4

Resolution
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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.

source=arxiv_source observed=2026-08-06T22:25:42.004042Z digest=sha256:9fa79ca2f7ae4a7ca5b0d566b1717af1b61a2f5cc93bc75d43a168082ae7111d

Observation 29209a52-06fa-4994-987d-fec46a4b2ec4 · outbound

This paper cites Higher-order rigidity -- What is the proper definition? Discrete & Computational Geometry, 11 0 (2): 0 193--200, 1994.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Higher-order rigidity -- What is the proper definition? Discrete & Computational Geometry, 11 0 (2): 0 193--200, 1994

Reference 5

Resolution
verified fuzzy
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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.

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Observation bec05858-edde-4408-b23a-74838e00cbb9 · outbound

This paper cites Second-order rigidity and prestress stability for tensegrity frameworks.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Second-order rigidity and prestress stability for tensegrity frameworks

Reference 6

Resolution
verified fuzzy
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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.

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Observation ca0f2139-1ee4-4486-a175-9c48d035a510 · outbound

This paper cites Statics of frameworks and motions of panel structures: a projective geometric introduction.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Statics of frameworks and motions of panel structures: a projective geometric introduction

Reference 7

Resolution
verified fuzzy
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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.

source=arxiv_source observed=2026-08-06T22:25:42.289779Z digest=sha256:01fe54edb19a32e16a89723443cf7bdc1bf28c811a3013fc33c5cd925c82a105

Observation 09728afb-6d07-40ee-894f-52e8b7ab3b92 · outbound

This paper cites Demaine, Martin L.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Demaine, Martin L

Reference 8

Resolution
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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.

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Observation 509c4eda-dc36-454c-afb9-afefdf8accd9 · outbound

This paper cites an unresolved cited work.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Unresolved cited work

Reference 9

Resolution
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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.

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Observation 0a4e95d4-7fbf-41e4-8357-2f6693e4b7cd · outbound

This paper cites Higher Order Rigidity and Energy.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Higher Order Rigidity and Energy

Reference 10

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4039ab6b-357d-4071-9d78-99b3fa6fd778 · outbound

This paper cites an unresolved cited work.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Unresolved cited work

Reference 11

Resolution
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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.

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Observation 423ed2e4-7ef2-4386-80a5-ad87d570470f · outbound

This paper cites an unresolved cited work.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Unresolved cited work

Reference 12

Resolution
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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.

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Observation 1d683a52-ed6f-451a-98b1-11e1b8ef083b · outbound

This paper cites an unresolved cited work.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Unresolved cited work

Reference 13

Resolution
unresolved
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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.

source=arxiv_source observed=2026-08-06T22:25:43.240937Z digest=sha256:19fc4f67e81a1cebdaa665e9a524df8d98ff8781f99e12b9ecf78d3c023ea375

Observation ba34b55a-1e23-4e15-b4c1-8165285534df · outbound

This paper cites The generic rank of body–bar-and-hinge frameworks.

Second-order prestress stability and third-order rigidity of polyhedral surfaces The generic rank of body–bar-and-hinge frameworks

Reference 14

Resolution
verified fuzzy
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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.

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Observation a68b01a0-1d02-490a-b71d-cdbb51ccb202 · outbound

This paper cites A Proof of the Molecular Conjecture.

Second-order prestress stability and third-order rigidity of polyhedral surfaces A Proof of the Molecular Conjecture

Reference 15

Resolution
verified fuzzy
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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.

source=arxiv_source observed=2026-08-06T22:25:43.572816Z digest=sha256:707b5717818be52e3f9e68586e25539a6027b392352da2505b34affda4d03dd5

Observation a6acba12-85fc-49ab-b39c-cb38afe67c68 · outbound

This paper cites an unresolved cited work.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Unresolved cited work

Reference 16

Resolution
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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.

source=arxiv_source observed=2026-08-06T22:25:43.713705Z digest=sha256:2d9041e2f38b8fed1065c832a4719e6f4b6b72ae4fc97101f24348e99355c640

Observation 81910807-4519-4df6-be33-bf601fd83166 · outbound

This paper cites Engineering Origami : A Comprehensive Review of Recent Applications , Design Methods , and Tools.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Engineering Origami : A Comprehensive Review of Recent Applications , Design Methods , and Tools

Reference 17

Resolution
verified fuzzy
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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.

source=arxiv_source observed=2026-08-06T22:25:43.821036Z digest=sha256:4539862effa0af800c818c492ca5dd6d685fcb54fda63fdc3cf250f0e763c2b7

Observation b1987daa-ed4f-474b-a1f3-c30af4cdfd67 · outbound

This paper cites Pratapa, Ke Liu, Biruta Kresling, Yan Chen, Chiara Daraio, and Glaucio H.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Pratapa, Ke Liu, Biruta Kresling, Yan Chen, Chiara Daraio, and Glaucio H

Reference 18

Resolution
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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.

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Observation c20e77a3-8e16-4614-965d-1119dfac9aab · outbound

This paper cites A global approach for the redefinition of higher-order flexibility and rigidity.

Second-order prestress stability and third-order rigidity of polyhedral surfaces A global approach for the redefinition of higher-order flexibility and rigidity

Reference 19

Resolution
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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.

source=arxiv_source observed=2026-08-06T22:25:43.982463Z digest=sha256:f75bad155b5bb7d9e4340457b587a77828a8b616dd8b9d5510b8ba7459f9b477

Observation f2812389-4791-4f5e-a0d3-08d3afabcb0d · outbound

This paper cites On flexes associated with higher-order flexible bar-joint frameworks.

Second-order prestress stability and third-order rigidity of polyhedral surfaces On flexes associated with higher-order flexible bar-joint frameworks

Reference 20

Resolution
verified exact
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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.

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Observation bbf941a4-8e1d-4864-9fcf-1ced066be91f · outbound

This paper cites Verbiegungen höherer Ordnung und ebene Flächenrinnen.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Verbiegungen höherer Ordnung und ebene Flächenrinnen

Reference 21

Resolution
verified fuzzy
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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.

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Observation e90c97a6-67cf-4578-9f03-1335b785c710 · outbound

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Second-order prestress stability and third-order rigidity of polyhedral surfaces Unresolved cited work

Reference 22

Resolution
unresolved
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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.

source=arxiv_source observed=2026-08-06T22:25:44.292740Z digest=sha256:85079618b1960f211200f718c99a8736193e275c1bb37fd6305ab25f880e0564

Observation fa510ebc-10d8-4382-a834-6b1b591c5fb8 · outbound

This paper cites How to recognize the order of infinitesimal mechanisms: A numerical approach.

Second-order prestress stability and third-order rigidity of polyhedral surfaces How to recognize the order of infinitesimal mechanisms: A numerical approach

Reference 23

Resolution
verified fuzzy
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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.

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Observation dd402a27-d6c3-45e6-9552-69da07e38b60 · outbound

This paper cites Rigidity of body-bar-hinge frameworks.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Rigidity of body-bar-hinge frameworks

Reference 24

Resolution
verified fuzzy
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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.

source=arxiv_source observed=2026-08-06T22:25:44.571315Z digest=sha256:d421af47e9b3bd0a421f406970c34a096a596549b2137803a7c9c9fe3616a7ec

Observation a0cc920a-7e39-469e-8b81-c5077396a983 · outbound

This paper cites A proposal for a proper definition of higher-order rigidity.

Second-order prestress stability and third-order rigidity of polyhedral surfaces A proposal for a proper definition of higher-order rigidity

Reference 25

Resolution
verified fuzzy
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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.

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Observation b7247a01-f0aa-4aec-acf9-f9b8359619b2 · outbound

This paper cites Design of infinitesimally and finitely flexible origami based on reciprocal figures.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Design of infinitesimally and finitely flexible origami based on reciprocal figures

Reference 26

Resolution
verified fuzzy
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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.

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Observation 0a240168-c397-4bd6-9f90-fd686125d795 · outbound

This paper cites Rigid folding of periodic origami tessellations.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Rigid folding of periodic origami tessellations

Reference 27

Resolution
verified fuzzy
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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.

source=arxiv_source observed=2026-08-06T22:25:44.800550Z digest=sha256:18d8a0329baa499fb4e39f403a9d12e4c80b4b80b5425e3b0dc943a827153e5d

Observation eebb38cd-391d-4580-a785-23f5a0e2b3e0 · outbound

This paper cites A Proper Definition of Higher Order Rigidity.

Second-order prestress stability and third-order rigidity of polyhedral surfaces A Proper Definition of Higher Order Rigidity

Reference 28

Resolution
verified exact
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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.

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Observation d327a5f8-4552-4a8b-b683-6ff455dd2cbc · outbound

This paper cites an unresolved cited work.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:25:45.672383Z

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.

source=arxiv_source observed=2026-08-06T22:25:44.908906Z digest=sha256:9067dd8cd6e5a52860e54d391719f25efc9e3273fd42215ef714d5a5ee9b455e

Observation 56f2f1e6-6fac-4711-8b76-f536f4a9990e · outbound

This paper cites Rigidity of molecular structures: generic and geometric analysis.

Second-order prestress stability and third-order rigidity of polyhedral surfaces Rigidity of molecular structures: generic and geometric analysis

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:25:45.473460Z

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.

source=arxiv_source observed=2026-08-06T22:25:44.977244Z digest=sha256:a175ef80e04717e6e2524f2601b356dce967891f9b72457ab1350fde4f29f78b

Pith citing papers

No inbound Pith citation observations are available.