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Paper Citation Record · LEDGER

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

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

source=pdf_text observed=2026-08-07T14:28:40.914599Z digest=sha256:cf11c3bf48e0943259cdc8242553d8cf3e65cb79d6ebdc7aa05d0937f3edf1fd

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

source=pdf_text observed=2026-08-07T14:28:41.047871Z digest=sha256:f104f4574cab104205b872f8618c5c79cf66edfea0f8378840484ccffdb20caf

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

source=pdf_text observed=2026-08-07T14:28:41.172886Z digest=sha256:9e2fc1d9305970e9b2c61429f25e47295f854c8f0f61a83889c352768218c886

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

source=pdf_text observed=2026-08-07T14:28:41.311512Z digest=sha256:72fc8fd1d65a39fa0f8547de26c2097ee657a309f3923415b219e5f395bd2fc2

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

source=pdf_text observed=2026-08-07T14:28:41.394770Z digest=sha256:941ca21e1cb5e296de2493466821a651352749dc32d473e270674799bd6fa33e

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

source=pdf_text observed=2026-08-07T14:28:41.479182Z digest=sha256:19607531b7b897dfdea3b539bec23effbce8e4d398f43f4fadf966ba2c0055dd

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

source=pdf_text observed=2026-08-07T14:28:41.568510Z digest=sha256:9ef4bab5d15a25172a0eaa0793922e136085702f3c11b967551215d2537bf199

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

source=pdf_text observed=2026-08-07T14:28:41.696220Z digest=sha256:9c5977d7ccf1605c2078841348e30abaa17a1ec235ba5ba7e9d9e12963c8d5aa

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=sha256:75b244bc4a138bd42c55c3ccc9c0fa2477cae1aac198479774998054285b4935

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

source=pdf_text observed=2026-08-07T14:28:41.883894Z digest=sha256:b50dd2919ace46f2e308b757973abf2a761b38c3832ce9aaef091d9f9d48c2d6

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

source=pdf_text observed=2026-08-07T14:28:41.995968Z digest=sha256:8cdd995dff0912d1178431ba6695c2c1b92d6f34befc87e346bb544d41e72904

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:cfd795159e05bdfc029115f48a3047617c3bf32cb6dcb835f77bcdbe923fae0b

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:a2ff5e099b67c46572a87b7d7db830709e7a328c6ff2c8f24b0da57a60e895fc

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

source=pdf_text observed=2026-06-28T11:46:12.063089Z digest=sha256:36c279be260017b2cbf77bc0b4c2937c313651c35f9d502d67d25ad664f69dda