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Paper Citation Record · LEDGER

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties

As of 20 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 3 inbound Pith citation observations for arXiv:2505.18849.

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

pith.paper-citation-record.v1
2505.18849 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:28:41.995968Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:09:36.282437Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T01:36:25.538640Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 41ef35ca-2707-4e96-b4a6-a618a9b09ce8 · outbound

This paper cites Fractals and self similarity,.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties Fractals and self similarity,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:44.159921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T14:28:40.914599Z digest=sha256:7ae60291bdd74ef2e10bd53703cfe255ebd45a5102f18daf0071e292a1ca534d

Observation 0af4efd5-e20c-416e-b07c-326fe10c7161 · outbound

This paper cites an unresolved cited work.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:28:43.914788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T14:28:41.047871Z digest=sha256:bc4b41617d469b61b1c20452e63478290805e70668a1ef4d678c34a940e485e9

Observation 2f132de7-c558-4f97-a152-330540b1d62a · outbound

This paper cites Fractal geometry: Mathematical foundations and applications, by kenneth falconer. pp 288.£ 19· 95. 1990. isbn 0-471-92287-0 (wiley),.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties Fractal geometry: Mathematical foundations and applications, by kenneth falconer. pp 288.£ 19· 95. 1990. isbn 0-471-92287-0 (wiley),

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:43.721013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T14:28:41.172886Z digest=sha256:735fa83e7db9fbd28da403d98bf63124d5b24d34532b453f7c0d795c79005efd

Observation bd40b94d-539e-425a-8a65-f2e0e61765d1 · outbound

This paper cites Falconer, Fractal geometry: mathematical foundations and applications.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties Falconer, Fractal geometry: mathematical foundations and applications

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:43.497529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T14:28:41.311512Z digest=sha256:545ccf18a71f34e01ae8e9c005dd2f7688ff03fb53aa99fb144e59e4b5b7c4ae

Observation 234cd439-8367-4b40-bee9-ac77f0acd139 · outbound

This paper cites Iterated random func- tions,.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties Iterated random func- tions,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:43.301339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T14:28:41.394770Z digest=sha256:d75ec33823ead0af1146f4b2489d840f9f0be929e02c99956f541c81ac9c36b9

Observation 577a25f3-b7fb-4b61-94dd-255d8b7313b1 · outbound

This paper cites Yuri kifer, ergodic theory of random trans- formations,.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties Yuri kifer, ergodic theory of random trans- formations,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:43.114254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T14:28:41.479182Z digest=sha256:171004c2e397cc53a97f6a49e4b446b56232d873f8fc38cd7694bcea248b6399

Observation 97b81d65-cccc-49ea-9824-fe3034c9d62d · outbound

This paper cites Arnold, C.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties Arnold, C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:42.857868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T14:28:41.568510Z digest=sha256:49094b196eabead1fda17c756ae63eb99f587e032cc12ebb6bb75cfbaac889de

Observation d899c41c-2609-4566-9fc0-56deb81541ea · outbound

This paper cites Iosifescu, Iterated function systems: A critical survey.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties Iosifescu, Iterated function systems: A critical survey

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:42.664351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T14:28:41.696220Z digest=sha256:45d3aad57b3fd405b47194c7c3e1d58630feb2fad05134fdd69e3d3caaa520ff

Observation 8ee1d5c6-4fe3-4e98-b3fa-eb43e7c8d25a · outbound

This paper cites Iterated Function Systems: A Comprehensive Survey.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties Iterated Function Systems: A Comprehensive Survey

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T14:28:41.795284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:28:41.795284Z digest=sha256:235a6360d737dd7c5e507a7bb8d3e90e9c46af9e26310862c8ef5512e6f07436

Observation b1237185-1fd8-4049-a50a-2a21a676bf06 · outbound

This paper cites From random lines to metric spaces,.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties From random lines to metric spaces,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:42.446671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T14:28:41.883894Z digest=sha256:2708de5e5adcaef4282c3e98afc4ddd6aed8e99ef286309cdcf1adc299ebf27f

Observation 61023041-2416-4afa-93a5-338356c0cd67 · outbound

This paper cites The unfolding of dynamics in stochastic anal- ysis,.

Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties The unfolding of dynamics in stochastic anal- ysis,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:28:42.252442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T14:28:41.995968Z digest=sha256:87dafe59af2a0feefc855aa15c5747d6dc5c7df23b46388e73e0337b58cbaddf

Pith citing papers

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

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

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:abdf7fe3f4fbf6445297b86faa666f6a3bc7a053fc7206a0abb279fc7fb842d6

Observation 28a95f7b-6372-4156-ae60-301d52f73ce6 · 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 Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T10:50:49.861907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:50:49.861907Z digest=sha256:b660425dcd5b8af0e9bbf8759e267a505945157ca90d7886843566474a9f60b4

Observation 32c985df-bad8-4c99-9d74-27a3c1fdf704 · inbound

Composable function systems as a general-purpose rendering framework cites this paper.

Composable function systems as a general-purpose rendering framework Fractal Attractors in Random Nonlinear Iterated Function Systems: Existence, Stability, and Dimensional Properties

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-02T01:36:25.540850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-28T11:46:12.063089Z digest=sha256:590d612142d68e019153e53cc44e4d7fe1883de20142568c3a2716b87ead03f6