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Paper Citation Record · LEDGER

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2505.22644.

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

pith.paper-citation-record.v1
2505.22644 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:09:37.558587Z

measured 17 of 17 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:50:49.911250Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T10:50:50.019230Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4202f556-79b3-4770-a844-c3d64e9a704f · outbound

This paper cites Algorithms for quantum computation: Dis- crete logarithms and factoring,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Algorithms for quantum computation: Dis- crete logarithms and factoring,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:40.986907Z

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=pdf_text observed=2026-08-07T13:09:35.739647Z digest=sha256:7a87fedb867efdb1b9e6d5926213a4a8446a3fc34a5172e172bb97bd15a42882

Observation caef01ab-045e-4e4c-bbf1-8cc408ae5ae9 · outbound

This paper cites Pqc: R-propping a chaotic cellular automata,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Pqc: R-propping a chaotic cellular automata,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:40.760019Z

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=pdf_text observed=2026-08-07T13:09:35.900389Z digest=sha256:9f305fceca0e8f198a48e79c2e308be86cfee52115bb10e484bc7aa3145963e6

Observation 9ffc1b69-26c6-4dd8-8b57-1560b8abdec6 · outbound

This paper cites Status report on the first round of the additional digital signature schemes for the nist post-quantum cryptography standardization process,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Status report on the first round of the additional digital signature schemes for the nist post-quantum cryptography standardization process,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:40.431625Z

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=pdf_text observed=2026-08-07T13:09:36.024394Z digest=sha256:b7862e7fac94c26ada1098e395d3c4d6e2af5e78b1d209f5b986e8ae18300d99

Observation f4979af8-06aa-471e-8877-cd2a7ea6a190 · outbound

This paper cites Lattice problems in npA ∩ B conp,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Lattice problems in npA ∩ B conp,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:40.062458Z

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=pdf_text observed=2026-08-07T13:09:36.185007Z digest=sha256:cffc6ce1645359de24565eabe4e9ef20756aaceba9e8153306e5c97a900a390a

Observation 335408e9-2182-4eca-ade1-b3d909603dd8 · outbound

This paper cites Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T13:09:36.282437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:09:36.282437Z digest=sha256:cfd795159e05bdfc029115f48a3047617c3bf32cb6dcb835f77bcdbe923fae0b

Observation a8acadb7-5f3c-4476-880c-145e8f2e0658 · outbound

This paper cites Rsa chips (past/present/future),.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Rsa chips (past/present/future),

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T13:09:36.393305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:09:36.393305Z digest=sha256:3990434a02e89eb42869384f67058dc346dd8659fb20089ccf2af2ece029095f

Observation cdb8e8de-0db8-44bf-92aa-e21bec8e93fe · outbound

This paper cites Secure communications over insecure channels,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Secure communications over insecure channels,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:39.753687Z

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=pdf_text observed=2026-08-07T13:09:36.472595Z digest=sha256:dadbeb2800b17cce6825b263463440612c21143b70796e820106e2ae7fe20b6f

Observation adc24727-0931-4be2-aef4-7a7b0ce76d9b · outbound

This paper cites On lattices, learning with errors, random linear codes, and cryptography,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption On lattices, learning with errors, random linear codes, and cryptography,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:39.445046Z

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=pdf_text observed=2026-08-07T13:09:36.560493Z digest=sha256:b3ff15ca3d089d5ee2957a48fbda5c84a3ea9fb8a998e8355a87822226cf9d47

Observation ee54498e-ddbd-4245-b52f-bba9412db48d · outbound

This paper cites On ideal lattices and learning with errors over rings,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption On ideal lattices and learning with errors over rings,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:39.183299Z

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=pdf_text observed=2026-08-07T13:09:36.640676Z digest=sha256:376222a660f99265d72d0bc6fd565608d3a38f5f33ffb1fbae601c4ae00de768

Observation 9270fbca-fe85-48de-ba00-2b665794a301 · outbound

This paper cites Numerical solution of multivariate polynomial systems by homotopy continuation methods,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Numerical solution of multivariate polynomial systems by homotopy continuation methods,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:39.017950Z

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=pdf_text observed=2026-08-07T13:09:36.766024Z digest=sha256:49f603dfcc95258ca5925503257916dae103cf39550be6d8668651e47176c49c

Observation 0e1a4790-de8e-4012-bd49-f2854c9b8549 · outbound

This paper cites Rainbow, a new multivari- able polynomial signature scheme,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Rainbow, a new multivari- able polynomial signature scheme,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:38.782095Z

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=pdf_text observed=2026-08-07T13:09:36.916947Z digest=sha256:0ecc855128dd5254600579f0be9dbacb81819798cc6e4d68f07dce3c87efbaa2

Observation 488f834f-3d75-4ee4-85bf-edf72b844ba2 · outbound

This paper cites Arora and B.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Arora and B

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:38.500899Z

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=pdf_text observed=2026-08-07T13:09:37.036421Z digest=sha256:5d55cecb3c43f810e5990c0757337996d5883297840705a5ac9d9420e20338de

Observation e044fed4-b426-4628-9b53-5dee8344a65b · outbound

This paper cites The complexity of computing the per- manent,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption The complexity of computing the per- manent,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:38.285639Z

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=pdf_text observed=2026-08-07T13:09:37.156325Z digest=sha256:5e3a1914b951409bf73f271765243e8fb87eb55d21ba1f0b0b298b459aaee05d

Observation a2a5ff1f-1e73-4d0c-9a40-45c8f182585f · outbound

This paper cites Introduction to the theory of computation,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Introduction to the theory of computation,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:38.036896Z

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=pdf_text observed=2026-08-07T13:09:37.269100Z digest=sha256:2e7f1c2aea67a86a7a852d52be0eedf80b1c7ca898ba5bc1f9a14db5e7dc7755

Observation a4c20c3a-d896-4239-ba2d-0d3c83f767e0 · outbound

This paper cites A fast quantum mechanical algorithm for database search,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption A fast quantum mechanical algorithm for database search,

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T13:09:37.458352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:09:37.458352Z digest=sha256:6639dda2d612aa869c8055db714fc80189b6232d402cb03d70734506e415d25c

Observation d052ec5f-6deb-494b-9639-9f3572e772a1 · outbound

This paper cites Hidden fields equations (hfe) and isomor- phisms of polynomials (ip): Two new families of asym- metric algorithms,.

On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption Hidden fields equations (hfe) and isomor- phisms of polynomials (ip): Two new families of asym- metric algorithms,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:37.820569Z

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=pdf_text observed=2026-08-07T13:09:37.558587Z digest=sha256:661eda8bac2e372dca76d00d11d496b048c831f0f445c308063394a03564c169

Pith citing papers

Observation c5143f54-3fff-46e1-9b10-9b35ad258f7c · inbound

The Hashed Fractal Key Recovery (HFKR) Problem: From Symbolic Path Inversion to Post-Quantum Cryptographic Keys cites this paper.

The Hashed Fractal Key Recovery (HFKR) Problem: From Symbolic Path Inversion to Post-Quantum Cryptographic Keys On the Intractability of Chaotic Symbolic Walks: Toward a Non-Algebraic Post-Quantum Hardness Assumption

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:50:50.035677Z

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=pdf_text observed=2026-08-07T10:50:49.911250Z digest=sha256:4dc624aefa095a7b9f07a1e273fb63f31ed70af974c601a0a59a7731d14bdc83