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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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.781353Z digest=sha256:2ec81f679b46e3906360a777d296b8b9ad70e1ddca635d8926644ba7c1b65180

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.821647Z digest=sha256:7a7cf189f186a69c57fc955cbfc604dd8dd956e206d609a0442295fc600b82fd

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:41.903494Z digest=sha256:ffccfebe242c3a3eff326d1862e74e086d26044219ddc2fdc5dc3694e960124e

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.004042Z digest=sha256:3fff768e43d8a916ee2b842cc23eb07e692965596c9590cff62c079be1790d56

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.094419Z digest=sha256:00cbc4ceabe393cbff0794f67a4e414ccdbf170d2b0d3ca2b32d4935c6fa07a5

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.176562Z digest=sha256:4c300aaa6701263f973bbab6015d42a2b1d765d1fa349e18ee19e8ac988fb935

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.289779Z digest=sha256:cfb80ec249d576be328380a306c78cd2f9380c0273afb27f35f0b91bd9dec3fb

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.477616Z digest=sha256:4171bd82de5a2d8e9dea5e0539c0b5aba20c9c2b6a0a45f51f668395b1bd2e2c

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.615270Z digest=sha256:1fc8566cec3871db3f6d4b5eec55a857132a678c47dc2f16b843ffda1f2778b5

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
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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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:42.914570Z digest=sha256:eb6324e7f244798d8ee260e7e53ce342a9b2e93c3d6417fa8398a5bad93211e6

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 2026-08-07T06:34:17.273281+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
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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.240937Z digest=sha256:581cd33bfd354e5b39d88391d946103935e58e8af4f0991fcbcdb767eee94440

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.427802Z digest=sha256:fa6ca487e0f3d868afda2834237664627016cffc95d082bd25bd7780908af75c

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.572816Z digest=sha256:7fc7a0e25ca6f417cbcb474c58daab01b8c34ac19a89becee168dd2b6de2ec32

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.713705Z digest=sha256:1005d3237520ddedb2c59b6585765cb87d6497a2ccb33f07df369ab286ac6746

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.821036Z digest=sha256:d403c19f5c0de7a9417cc781ccb7e6b1b032a683f884f3b3f7fe3efceac41905

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.893405Z digest=sha256:c42f23e0c6ef18438dd5c1b410f5025463fdac43c2b44ea6613da86894edd548

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:43.982463Z digest=sha256:6fad65c6a0ffbf264838aeb94d9223d024618cfa2219b09cca119feb01e62103

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.112663Z digest=sha256:a80ca08ac7afa3b0af26aaa14d95d3ecc55688986f0a493cf7e924e744c07bde

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.171312Z digest=sha256:e1845f1c58bfb7f51017122610a7deac8ddae4e63a8b314b553422f9ef0850ab

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.292740Z digest=sha256:715fba6716cfbbde10bd2af9b33a1049dd3422e93e8fcb208f996ec66fe6d6f5

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.407610Z digest=sha256:9841d943538b14d494ab29661323edc363940072eb2ecc43c95c3a6db30f4a4b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.571315Z digest=sha256:04bab2e3101ad7c834e759d68a7ef7ca366725ebe126873e2fe3fcfcf5aca3bf

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.665127Z digest=sha256:e2688203b3e320c3d7bdb23e3b36e03c7e5056190b5df8b7485b903407162942

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.732515Z digest=sha256:12909e0ffe8b706b84d71b3af8faefa67d02da13dc16caa6b4b78331b96eb596

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.800550Z digest=sha256:6c231e975120acac1859c363a3b43efebfdc8d6535a7b146e2bf3857398bc1d2

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.859578Z digest=sha256:219f586d0336e07b3d86c54611a049b9d11ac071880e67b22cf07cd9de20a8f4

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.908906Z digest=sha256:b1b374866e1ab6766495f9737a25179b63a31ad0a3798bc30e56bff931c47dd2

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-06T22:25:44.977244Z digest=sha256:cd09d125334df3f2bbf52ef95ad21d46bce43a85185450f95677e3804a1de58d

Pith citing papers

No inbound Pith citation observations are available.