Paper Citation Record · LEDGER

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis

As of 13 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2411.17331.

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

pith.paper-citation-record.v1
2411.17331 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:28:23.459502Z

measured 39 of 39 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.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

39 of 39 outbound references displayed

verified exact1
verified fuzzy34
unresolved4
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation b3cb4200-e9f9-459c-9800-47ae89a36604 · outbound

This paper cites an unresolved cited work.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:28:25.154824Z

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.

Observation 3f6fab87-c39d-493d-974b-a17dc4a22e31 · outbound

This paper cites Dna knots reveal a chiral organization of dna in phage capsids.Proceedings of the National Academy of Sciences, 102(26):9165–9169, 2005.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Dna knots reveal a chiral organization of dna in phage capsids.Proceedings of the National Academy of Sciences, 102(26):9165–9169, 2005

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:25.138005Z

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.

Observation 430e6abb-f5a7-44e3-afda-bd742c307193 · outbound

This paper cites The local topological free energy of proteins.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis The local topological free energy of proteins

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:25.053093Z

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.

Observation 13099d3d-b936-4882-b8e5-8d43f3134e55 · outbound

This paper cites The local topological free energy of the sars-cov-2 spike protein.Polymers, 14(15):3014, 2022.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis The local topological free energy of the sars-cov-2 spike protein.Polymers, 14(15):3014, 2022

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.920284Z

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.

Observation 1c8bb6ef-88f8-4700-aa7d-70e6e278268d · outbound

This paper cites The jones polynomial of collections of open curves in 3-space.Proceedings of the Royal Society A, 478(2267):20220302, 2022.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis The jones polynomial of collections of open curves in 3-space.Proceedings of the Royal Society A, 478(2267):20220302, 2022

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.897697Z

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.

Observation 35bc473a-b104-4dd1-8368-a631910e0c34 · outbound

This paper cites Atom-specific persistent homology and its application to protein flexibility analysis.Computational and mathematical biophysics, 8(1):1–35, 2020.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Atom-specific persistent homology and its application to protein flexibility analysis.Computational and mathematical biophysics, 8(1):1–35, 2020

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.875782Z

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.

Observation 1a8dbbea-0758-407b-aba4-74cf2cac5261 · outbound

This paper cites Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis.Journal of applied and computational topology, 4:481–507, 2020.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis.Journal of applied and computational topology, 4:481–507, 2020

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.853197Z

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.

Observation a870b946-c377-421e-91d7-71fa8fad4b05 · outbound

This paper cites Persistent cohomology for data with multicomponent heterogeneous information.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Persistent cohomology for data with multicomponent heterogeneous information

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.832875Z

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.

Observation 8a1b22f9-506e-40ef-9cb3-46866d56abfa · outbound

This paper cites Stability of persistence diagrams.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Stability of persistence diagrams

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.788608Z

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.

Observation 1ecc6260-6f4d-4da5-981b-9aa4cede97b4 · outbound

This paper cites Introduction to knot theory, volume 57.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Introduction to knot theory, volume 57

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.653479Z

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.

Observation 7874d345-0a36-49fb-bf60-995f01816559 · outbound

This paper cites A new polynomial invariant of knots and links.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis A new polynomial invariant of knots and links

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.584032Z

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.

Observation b02e60f2-6cb2-4e6b-9592-47033448d96c · outbound

This paper cites Parity in Knotoids.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Parity in Knotoids

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-12T12:28:23.522576Z

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.

Observation a5026b07-7efb-4290-b1ba-7c8100255f60 · outbound

This paper cites New invariants of knotoids.European Journal of Combinatorics, 65:186–229, 2017.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis New invariants of knotoids.European Journal of Combinatorics, 65:186–229, 2017

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T12:28:23.014140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92ebce44-94bf-4fb5-a308-8d5b034f4da6 · outbound

This paper cites Knotoids, braidoids and applications.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Knotoids, braidoids and applications

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.549597Z

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.

Observation 82fe4058-2b86-4d7e-ad97-79e4dde67773 · outbound

This paper cites A computational package for measuring topological entanglement in polymers, proteins and periodic systems (teppp).

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis A computational package for measuring topological entanglement in polymers, proteins and periodic systems (teppp)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.530128Z

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.

Observation 0224f932-7d00-4d81-ac35-a9aa218a5298 · outbound

This paper cites an unresolved cited work.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:28:24.510584Z

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.

Observation 690c9152-d2b9-4af8-9823-db74d64d3e7f · outbound

This paper cites An invariant of regular isotopy.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis An invariant of regular isotopy

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.492197Z

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.

Observation 9f44b1d9-551e-409d-9fe2-fccf5c2e1a5b · outbound

This paper cites A categorification of the jones polynomial.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis A categorification of the jones polynomial

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-12T12:28:23.043096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20a97397-254f-4565-8088-47741888dd03 · outbound

This paper cites Knots in proteins.Journal of the American Chemical Society, 116(24):11189–11190, 1994.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Knots in proteins.Journal of the American Chemical Society, 116(24):11189–11190, 1994

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.451806Z

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.

Observation 4eaa2d15-a136-4cf5-9511-29fff4a6caa9 · outbound

This paper cites The geometry of periodic knots, polycatenanes and weaving from a chemical perspective: a library for reticular chemistry.Chemical Society Reviews, 47(12):4642–4664, 2018.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis The geometry of periodic knots, polycatenanes and weaving from a chemical perspective: a library for reticular chemistry.Chemical Society Reviews, 47(12):4642–4664, 2018

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.431754Z

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.

Observation be523673-69ba-4793-9b87-ceed17b8ec3d · outbound

This paper cites An introduction to knot floer homology.Physics and mathematics of link homology, 680:99–135, 2016.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis An introduction to knot floer homology.Physics and mathematics of link homology, 680:99–135, 2016

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.305901Z

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.

Observation 89e0adba-571d-47cf-8bab-767c0417578b · outbound

This paper cites Finite type invariants for knotoids.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Finite type invariants for knotoids

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.265803Z

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.

Observation edff2ed3-fa9e-45cc-8251-c070bc32dffb · outbound

This paper cites Identifying knots in proteins.Biochemical Society Transactions, 41(2):533–537, 2013.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Identifying knots in proteins.Biochemical Society Transactions, 41(2):533–537, 2013

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.247819Z

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.

Observation 46a1256a-d4be-4de9-b322-b0b177ec993a · outbound

This paper cites Quantum invariants: A study of knots, 3-manifolds, and their sets, volume 29.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Quantum invariants: A study of knots, 3-manifolds, and their sets, volume 29

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.229115Z

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.

Observation 264afbcd-8f7f-40fb-b3a7-7de839a327d8 · outbound

This paper cites Fast and anisotropic flexibility-rigidity index for protein flexibility and fluctuation analysis.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Fast and anisotropic flexibility-rigidity index for protein flexibility and fluctuation analysis

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.211652Z

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.

Observation f412f8c2-cfc0-4fef-a43b-82316d314477 · outbound

This paper cites Knot polynomials of open and closed curves.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Knot polynomials of open and closed curves

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.193136Z

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.

Observation a91200ce-dc9f-44f8-97e3-6092c2c9e4a2 · outbound

This paper cites Vassiliev measures of complexity of open and closed curves in 3-space.Proceedings of the Royal Society A, 477(2254):20210440, 2021.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Vassiliev measures of complexity of open and closed curves in 3-space.Proceedings of the Royal Society A, 477(2254):20210440, 2021

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.156964Z

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.

Observation d35e3dce-6a5f-4893-8c22-cdfa6fe93fde · outbound

This paper cites Topological methods for polymeric materials: characterizing the relationship between polymer entanglement and viscoelasticity.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Topological methods for polymeric materials: characterizing the relationship between polymer entanglement and viscoelasticity

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:24.062246Z

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.

Observation 7cff9f8d-41c1-42bc-9d95-330d8c3437ed · outbound

This paper cites A topological study of protein folding kinetics.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis A topological study of protein folding kinetics

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.968350Z

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.

Observation f2140343-3542-4f2d-867f-5cce9efd71c0 · outbound

This paper cites Coarse grained normal mode analysis vs.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Coarse grained normal mode analysis vs

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.946815Z

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.

Observation 7274f19f-e696-48d8-b620-d62bf95c4306 · outbound

This paper cites Conway algebras and skein equivalence of links.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Conway algebras and skein equivalence of links

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.928305Z

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.

Observation 757a119a-e3ee-493e-b7ce-f6ca417b0d0d · outbound

This paper cites Counting polymer knots to find the entanglement length.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Counting polymer knots to find the entanglement length

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.910036Z

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.

Observation e69708a0-6806-47ba-84bd-ed89b7af1e84 · outbound

This paper cites Topology bounds energy of knots and links.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Topology bounds energy of knots and links

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.888472Z

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.

Observation 32a6919a-5155-4344-a70b-7002aaff3e42 · outbound

This paper cites To knot or not to knot: multiple conformations of the sars-cov-2 frameshifting rna element.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis To knot or not to knot: multiple conformations of the sars-cov-2 frameshifting rna element

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.838770Z

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.

Observation 9dd153bd-8255-42e7-9f83-46598de1000f · outbound

This paper cites Knot data analysis using multiscale gauss link integral.Proceedings of the National Academy of Sciences, 121(42):e2408431121, 2024.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Knot data analysis using multiscale gauss link integral.Proceedings of the National Academy of Sciences, 121(42):e2408431121, 2024

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.793082Z

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.

Observation c3feedb5-9963-4b7d-b6e1-2f324336c612 · outbound

This paper cites Conservation of complex knotting and slipknotting patterns in proteins.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Conservation of complex knotting and slipknotting patterns in proteins

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.702545Z

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.

Observation 2b6514b4-9180-4e90-b10f-16a9fb4c9b9d · outbound

This paper cites The role of knot theory in dna research.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis The role of knot theory in dna research

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.635711Z

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.

Observation 46915d38-11a2-4f33-9408-2c47e6f0d571 · outbound

This paper cites Knotoids.Osaka Journal of Mathematics, 49(1):195–223, 2012.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis Knotoids.Osaka Journal of Mathematics, 49(1):195–223, 2012

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.568701Z

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.

Observation a9fce989-b015-4431-92ad-aa36523a40bd · outbound

This paper cites The protein folding rate and the geometry and topology of the native state.Scientific Reports, 12(1):6384, 2022.

Multiscale Jones Polynomial and Persistent Jones Polynomial for Knot Data Analysis The protein folding rate and the geometry and topology of the native state.Scientific Reports, 12(1):6384, 2022

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:28:23.545170Z

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.

Pith citing papers

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