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Paper Citation Record · LEDGER

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set

As of 10 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2604.09878.

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

pith.paper-citation-record.v1
2604.09878 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T15:58:32.443340Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

18 of 18 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0016a76b-5280-4ecb-8185-76a62b6a7c61 · outbound

This paper cites Continuity of the Lyapunov exponents of random matrix products.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Continuity of the Lyapunov exponents of random matrix products

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-11T09:31:04.861932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:9a813939c497273ab1619d906b0330f7b62c810a7b534dc52decf618b587b3a5

Observation 7c53e3a8-785c-404d-98f2-87f7b2565e61 · outbound

This paper cites Backes, A.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Backes, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T17:40:01.932893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:253358238576ba812dbc98204857832e9f587c55613a74ecbe6d9132e4ab4634

Observation 893efacf-5cc1-4f5d-aba8-cb7994161227 · outbound

This paper cites Barreira.Thermodynamic Formalism and Applications to Dimension Theory.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Barreira.Thermodynamic Formalism and Applications to Dimension Theory

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T17:40:01.939031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:07e894a006ce05cc8b6a86cab58c8ef74f78d47a49a8e7c1646152c640b4c480

Observation 464f38c9-892e-40b9-9c93-e72cd37232cb · outbound

This paper cites an unresolved cited work.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-17T17:40:01.913368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:c37fe02938a52baa763cc58cd451fff6323d44c58b6b19ea143be6a7027074ac

Observation 9c0c0e0a-47ca-4995-8d58-680169b6f9ea · outbound

This paper cites Bocker-Neto and M.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Bocker-Neto and M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T17:40:01.929873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:2c31ea9d5e1ef43d244f6601b9c0c22fa25a097ebc8027bc6b8e0c31953f43bb

Observation 5f4e1bd0-ec8f-44ba-aec1-420e57cef9ad · outbound

This paper cites an unresolved cited work.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-17T17:40:01.941375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:4f5e4a842d7f244549ffbfdfdd5e0f9c15e0be9cc929793951e6a3886377b6d0

Observation 42560061-3313-41c0-b4f9-86b8dd351dc5 · outbound

This paper cites Duarte, S.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Duarte, S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T17:40:01.917192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:a940a2db12c2ed9603630d9546c7d6be7164a7972e3bc1deedafe4adb036fe82

Observation bc75406d-6825-4e86-81fa-8acfd3ce6ba6 · outbound

This paper cites Friedman.Introduction to ergodic theory.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Friedman.Introduction to ergodic theory

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T17:40:01.935598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:f6b7e5a5c302abf96d01ebd8a998ac2d4aae38058d2d617bf17904eab3642e0a

Observation 323ba163-457d-4e20-b522-65a165e8f2cd · outbound

This paper cites Furstenberg and H.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Furstenberg and H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T17:40:01.944380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:0b6559bc84e8daa0b5df19ecc731741e70a5d70bcdb695454a1050d6efb16599

Observation 3c632113-4234-4051-9e2b-c8acad4aa138 · outbound

This paper cites Ledrappier and L.-S.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Ledrappier and L.-S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T17:40:01.958157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:0922a2df624fe90a09cf4ff5ece77e206b4850131ae383dd202101b30234085b

Observation 19d22109-ca26-49ae-a6d9-970fa85e6b44 · outbound

This paper cites an unresolved cited work.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-17T17:40:01.949498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:cb4b39aab98a0a028c34491ac45bf6214c325fbfcc4af423867e1c5fc387f757

Observation b2447e62-af9d-4eca-bd11-ff4518ae4a1e · outbound

This paper cites an unresolved cited work.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-17T17:40:01.952451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:8ad02efaa36f647c00791c2d096b880ecc513b5a1e5cee3bb587050a5bd4ae35

Observation b5e3c631-5d95-4919-b8d5-7e317737082c · outbound

This paper cites Mamani and R.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Mamani and R

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-11T09:31:04.869843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:69d3452da1ba18551321dded4779df2ee1fca6e9ca0af6875f84f2b94124f2b0

Observation 78413ee9-6b3c-4e6f-af05-80da60b51cc2 · outbound

This paper cites an unresolved cited work.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-17T17:40:01.955555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:a997462aabb85be90b1e7141480fdab6e229c1b979d3e13aeaf88d9b68e3fd3e

Observation e7b58439-1e55-4951-8df4-00f289bf2ffb · outbound

This paper cites an unresolved cited work.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-17T17:40:01.946938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:69e4f41ece801839363f09317738416a98825ca16ff924dac65c206cb83848ed

Observation 4670daa1-fb60-4775-9d1f-e507f09c5df0 · outbound

This paper cites an unresolved cited work.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-17T17:40:01.927189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:bc1a665c39790550ec83c42ea4887f6310052f7d9127316d6d933739d4b6027f

Observation ec5dc5d6-e0cb-4d96-96c7-b4c056f06f95 · outbound

This paper cites Viana.Lectures on Lyapunov Exponents, volume 145 ofCambridge Studies in Advanced Mathematics.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Viana.Lectures on Lyapunov Exponents, volume 145 ofCambridge Studies in Advanced Mathematics

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T17:40:01.924509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:ce008563f48487d4926df32462fd7df847583d05203d072b07673d59793cc326

Observation 147a9f5f-db9f-4064-bc43-67dc6fca2b3b · outbound

This paper cites an unresolved cited work.

Discontinuity example for the Lyapunov exponents on the boundary of the uniformly hyperbolic set Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-17T17:40:01.921405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:058068974e7f1defe8fead3ca352e9b999218b631f7caf2975417a0e7381c23b

Pith citing papers

No inbound Pith citation observations are available.