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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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
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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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.781353Z digest=sha256:51677f39b61093b72ac3d0c2c365b582bc589dc21b7694abbe4bf44eab81989a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.821647Z digest=sha256:0915c51dc6067a3cc4c27cbb03833811ea2be9229050d8f457f0f25789f25ff4

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 2026-08-08T06:32:00.761636+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
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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.004042Z digest=sha256:fe3fd7f3d25c8109bd043b4f06ce002afd5e0c5635b4649e9b24eaca22940f0d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.094419Z digest=sha256:5df679588ff026839fc0c195fe0f9d3695b6679045d7dab0a99c2388c6dd4faa

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.176562Z digest=sha256:807aed142d5c5a01493ae59024b16c88582b87956c86ddad595f40c96519b7cd

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.289779Z digest=sha256:061e8a99e9539be4e0ee0ec02cf73a1b8aeb3e0652342d38c9baaa7192715d8d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.477616Z digest=sha256:82108daffa279765fba7ca020e84bb306a832a1844f12ba7328a59481ef4183b

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 2026-08-08T06:32:00.761636+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
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=sha256:9244355e152dd5b763e6b39417bbac1237ac6056f36f3d6a6040d06d2d4c97e2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.914570Z digest=sha256:382137d706c0ec4e6e75b1eeb58abc289f1c9cbe4ddc748074d5aec0f0ce18d3

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.021583Z digest=sha256:d4c7df92edd4d20272fa771301c29df5f302874fceb106bc1393221feba5e438

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.240937Z digest=sha256:5b75c86b780a29103fe320f7697126b06d56e36f7a5d403dc17696dc26051bdd

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.427802Z digest=sha256:c61dc1e957791c3bcefe7f89f03bc1678534f12c9f37d956658ca68975ed0889

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.572816Z digest=sha256:a278243c0f5fe890ae8f094088e43e31051433aa0fe53c3c5b0e711ed85b1b69

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.713705Z digest=sha256:6e5fdc7bcbac0974f63fd4f8cc621a4c92fd39d57e31ac7576151f9ed46727d8

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.821036Z digest=sha256:b213e09e0d3e2c461a2451744988534dbc19e66f1b5ea324859e356b27e445fc

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.893405Z digest=sha256:8739b4c401eff0cad7843a652c0e6a51a8a84634f11a4ed34e68b6c04c2eb317

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.982463Z digest=sha256:3ef9cf44e5846b7831c141b8fbc833c4a7dc586f5aae5efc654ef0a80bc71286

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.112663Z digest=sha256:a399b4de54d876ce704b997cca29ed35739d4b8960a9c791d8d925a3f1613415

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.171312Z digest=sha256:ff0e1450e95a6b2499204c3478f0209d04fb30390fa5612daf966ffea80392d7

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.292740Z digest=sha256:5b2c95be2b81a8e3642090521959f096b1f66584af4fe424ac03ead885fbde3a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.407610Z digest=sha256:73d2892f6d74bdb53d6d0d7c10da3d283a85286dd2d1baafb92353a94e6f1e49

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.571315Z digest=sha256:770d9142db15e7156d46bffcdbb993da0e018e12b3fef7d35c8ebe5af6552c15

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.665127Z digest=sha256:f259f3ff5068b43702690943e7e8b88006c581a6a358bbca4ecf5b17a9d320cb

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.732515Z digest=sha256:d728ecb35a3a6c4e0e3cf8f6fa5a68286afdf812f9bc29a7437a66638f802605

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.800550Z digest=sha256:9a0c08dff87c5a795962160d509815165910118b15b626e4e9f5fb72d4c52ab2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.859578Z digest=sha256:92fe03dd7b634067c300866a45bfaf02645fe5e3a2106f6ef7d60cb02c5bd8c6

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.908906Z digest=sha256:a9b19ccce306d4ba2b8f54f8cbbd3bab4981e401c32c5f3058bbaa5f9171bc5a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.977244Z digest=sha256:1e7d0897f53a40a5a99c676ea77f559b6a6b62cb782658e36bd31d90d4dd0e18

Pith citing papers

No inbound Pith citation observations are available.