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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 2026-08-22T06:32:14.747728+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.781353Z digest=sha256:e17e89f75c14e47f19079493e8172da2d6703ce5dbfc29dc541b0c01ff9ddcd9

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.821647Z digest=sha256:cc9887c041767031dc1c847746bbfb3e5c520b4eb7227891177a2762e6dafd2d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.903494Z digest=sha256:00cc191bdc33794587e7e218b2d68a1875e11ca20beb57db06903df691aaf8ad

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.004042Z digest=sha256:356fafb1a890cd4800b65ecd0c7849eb2789032e0e46b7e3fedd28ffaa9ac762

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.094419Z digest=sha256:537e629b209ee5f49050781746c29c939fc27add0ccc5cde7c57ee916b7e2257

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.176562Z digest=sha256:54ae44a60cc11ace4b3839c65f17f441875d5648f620f14e4b5b20c0f997b5f7

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.289779Z digest=sha256:47d80428ab4dc2679bbebaa6989536bda4f1cdc9c1ace924801a05b083b119cf

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.477616Z digest=sha256:77a1c01e52045d9e1e01a4c570f23007f3b666467cca180c3e0e8cff8ce42ff1

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.615270Z digest=sha256:e6ec235848a311b9653aceffa235f8edfbdd9af4c22e00b4de9c4e1ee381426f

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=sha256:2bb98039c9ebd6427c5a380a4839c88d8065306cc2578f26fce007f8f7f1a1a6

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.914570Z digest=sha256:35ebe1d36ce173c07a3c51df4a137ea3c356160c80792d080224a4f47a7d82cc

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.021583Z digest=sha256:71cf75d14acccc26e56b9f05f75dae725f1534e0430db85052cf480ea2591ac6

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.240937Z digest=sha256:ff8ce015db51f562af4e4d6c12dca5224ae26d65c961836f45a74d0f9aa96433

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.427802Z digest=sha256:4d10afd2a426293831e38ffaaf9eb0452267128443e33b7e5a4a720f1254380e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.572816Z digest=sha256:7d0a8c490def0cecb1a96e75d5e2545a98a887848a4db0575fd9dcadaae7ece6

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.713705Z digest=sha256:6ef1b327b042ab4bc9f41bb030999229032721e901651728995182c007df480e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.821036Z digest=sha256:9ab111540170cf36fcf4a2250da591a34371eda58de755c56f9de68cf16d8b41

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.893405Z digest=sha256:ce44ba2a3d3ff3c619245864c7bf8c6dcba4408d33b99fb23eb2a24d950177f5

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.982463Z digest=sha256:11173a5a1fe1b6a2e2840c92c932723260c213009939ae7d3fed6bf4658cba0e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.112663Z digest=sha256:45504d91677b70a3657c656cc50ea0e1222d3fe9440c69d9faa8b58c29327b09

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.171312Z digest=sha256:cdf5aad46bbff8606d6370d35af91e61531995c002608246b1c6357ce5d0a0ab

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.292740Z digest=sha256:e91c8ce1fbce60b6d25892242e5467280650a4f4d0b910c509a2f3fc4d3bbf4b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.407610Z digest=sha256:640dc9b3e1ecc253aed461c152ce782bcb8acbdbf3bf6dd13a0ab645cab8898e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.571315Z digest=sha256:3cbda88481a5b462b328901864374a2636a98e8edd06c24a1fe640139111178e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.665127Z digest=sha256:05de541b1cf9dbece6b8355863d86aaf97fb0099d3c7cce5705d949d05b9a394

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.732515Z digest=sha256:b7b67bf0d9b20c9141f5032e4b28393959fec18b404f82cdea977500ac1ce824

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.800550Z digest=sha256:31f4cf32914683128ea1dd19de1fc45e20bc885db4bd182639a5ecf1f67935a6

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.859578Z digest=sha256:f0b689ccda645c390cedae61949945076a7c1ffd7dab6710dbc07bdb6dc729a7

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.908906Z digest=sha256:7c8276184ad7228bdfb00aeca8dbef4ee13951fea8648da1164694635ef0ba44

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.977244Z digest=sha256:025b342b652a08d101041b3d3eb1d40d73a0b9e1c9fbb124a95c26215871d203

Pith citing papers

No inbound Pith citation observations are available.