Pith. sign in

Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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

  • verified exact2
  • verified fuzzy19
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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
raw_fallback, observed 2026-08-06T22:25:50.043484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.781353Z digest=sha256:330d60e031d9d327693c460b2409d8d147b49202b80091487d386c89a562c3d7

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
raw_fallback, observed 2026-08-06T22:25:49.953788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.821647Z digest=sha256:b4c65be9a521e43b2d1e3958890c81b44c14709e13bece089e8aa63650af07ed

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
raw_fallback, observed 2026-08-06T22:25:49.828152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.903494Z digest=sha256:b316048a380266b8b3a522af5f65a2c4a5f157f61f6ee928d9ff1bef6c76ef14

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
unresolved
raw_fallback, observed 2026-08-06T22:25:49.705592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.004042Z digest=sha256:d992f95e561d2c2818b742395b7ac4b8209df8c99f9db0b7f93c938865d1eef0

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
raw_fallback, observed 2026-08-06T22:25:49.539136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.094419Z digest=sha256:6aa44d50c8f4ffd35a3b498fe2c3fc77a162b3db8bc66aaf01acc521baf9410f

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
raw_fallback, observed 2026-08-06T22:25:49.440557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.176562Z digest=sha256:74bf8627807fa6c889d4eb7aa26fb37f280c9834d23e465c4f1b4e2efc1b9b55

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
raw_fallback, observed 2026-08-06T22:25:49.339404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.289779Z digest=sha256:7f51281bc75dc3b371daa030bf6ab093314216feb81f3f41b4337e5fed926569

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
verified fuzzy
raw_fallback, observed 2026-08-06T22:25:49.186202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.477616Z digest=sha256:ee407a72258c4f8627f2b83ecd5d211946631fabe52923239d59af8e255a44d3

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
unresolved
raw_fallback, observed 2026-08-06T22:25:49.063758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.615270Z digest=sha256:a408a0d03b1257364cfefd93bcd9ac193ce1260aaba68436ae0fd5b6d4695d54

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
unresolved
no resolver link, observed 2026-08-06T22:25:42.841205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:25:42.841205Z digest=sha256:12f22ab10183f142bd292f0c3ea572b8884f1e0531e9a531dffada2dc24ca813

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
unresolved
raw_fallback, observed 2026-08-06T22:25:48.856556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.914570Z digest=sha256:29e03bbad1e72acdd7aa5c2bcdb0f93206062781ec900f12a6ddacd59955b1df

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
unresolved
raw_fallback, observed 2026-08-06T22:25:48.672714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.021583Z digest=sha256:42396af9ffc9bfee8e1b0df702302c6bbfad6967c451377ea7e47fc9fd2ab855

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
raw_fallback, observed 2026-08-06T22:25:48.480395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.240937Z digest=sha256:c9b8adc69a48601488202146d57fc76697722a32869015cc0283d0faffab35bb

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
raw_fallback, observed 2026-08-06T22:25:48.256471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.427802Z digest=sha256:abee33ec5d120e920d94c5b4a7b214d0abdf7aa8b8122c3444373e9daa977ba3

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
raw_fallback, observed 2026-08-06T22:25:48.023037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.572816Z digest=sha256:1d615ed601125e5a28f318fc41f9fc1436355e82f3fd2a9f7541008cc82b47f6

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
unresolved
raw_fallback, observed 2026-08-06T22:25:47.762361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.713705Z digest=sha256:b84401add8a2c0fa7c33c9d06fb934a762bf413b2564ea0efae6e82d8bec389a

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
raw_fallback, observed 2026-08-06T22:25:47.550242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.821036Z digest=sha256:8865d5d7e55900109ac38ac4951256eb64b3d7af30f3338c2e9e0b0853ff3381

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
verified fuzzy
raw_fallback, observed 2026-08-06T22:25:47.375619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.893405Z digest=sha256:d8c004d16d5d3f93f36996b6390a90bd0a4fa734871990c75e7c71567d9d9444

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
verified fuzzy
raw_fallback, observed 2026-08-06T22:25:47.126525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.982463Z digest=sha256:e69c1243ad2c024ff4517a012cd5df1e8bd9af2217f0ed2d74b2f0b043d923cf

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
local_arxiv, observed 2026-08-06T22:25:45.311269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.112663Z digest=sha256:953fbc13ecc3ecff9f9fd948b991c531bb2385a679eed552940e371fad832976

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
raw_fallback, observed 2026-08-06T22:25:46.943116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.171312Z digest=sha256:ab0a01596ce94d2924608bdad99ee3942b403d43e422cd345bcaf5870d30c2c0

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

This paper cites an unresolved cited work.

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

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:25:46.812786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.292740Z digest=sha256:570063b7f606535d6b20d4ab42b696b65323ad94b91abec0eef7c005d4a869c3

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
raw_fallback, observed 2026-08-06T22:25:46.674374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.407610Z digest=sha256:ad7f6795e09b6d121489ddac9304cb101cfa5df80455487333156c0f4373735f

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
raw_fallback, observed 2026-08-06T22:25:46.546797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.571315Z digest=sha256:135aa78a7ef3e56f8176fe398ea7d4ef54d16cf91d4a36b24d86dc96ad70ca19

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
raw_fallback, observed 2026-08-06T22:25:46.272276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.665127Z digest=sha256:7fa58d6bfae3a0b188e389aabe39187bf4a24c8c3dc38d20301279b1fd861f79

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
raw_fallback, observed 2026-08-06T22:25:46.067793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.732515Z digest=sha256:aad277e65f6db29dcaaf901d0f4a20cbab44bde32140c72b6bc0ad427adc0582

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
raw_fallback, observed 2026-08-06T22:25:45.878243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.800550Z digest=sha256:3e9c1fd80661db2a64f7f1bb23ca1518fa0a1642a555616dbe63239289d90739

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
local_arxiv, observed 2026-08-06T22:25:45.141732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.859578Z digest=sha256:44577236a49119a989c2134d02f90cc65b8a40a2adc2b5e615e1ee26fd4e1f62

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.908906Z digest=sha256:7ac5905682b099eef4cc5a5e7effccd0e3692e750e62d91ef631648f053b0a83

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.977244Z digest=sha256:ea30b3acd74ccc7734e8c9be95f36da47ffc972864c10270929ebde8708ff9d2

Pith citing papers

No inbound Pith citation observations are available.