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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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:097d32cd6782d67304e117acac1e7b8874ae0e74f9820a85318c505f12b09d3e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:a08bfa6bdb33c40f7a1f1e8e0267c4e629d4df4de676c389a82d5ca17e3edd68

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:5ab62b2062a71d52cc2e7b157c315d14371b5bcbcb7373077b461b88b2f27be1

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:00a20db8fc291b52efd2d4698056b802c4cff79ffff4ab7b5a4d1077f674030d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:ee717d3833ff4e8626aa19799a6b37a0a2cffcd01acab448429ddf95b929ce08

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:950269472e2bf10d0f086516e6fd312f2c77d80ab74e017afc55cd83c01453f7

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:d5184a9ac9c0f387255a1780191988fa177a56c1280d834a254550cbb8a475ee

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:a70e3a020b683d2d491f3acb5abc67de2e324dcd8882dcd7d9ddf7a4b3bc7cb3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:d21188d82aa80f0a4e56995633b4b79ba945b28bc922531e628929fa59abe4c6

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:543ed0643054741625995a46be62b27845e14ab00dcf250acf7b9f6210cc8e18

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:a2edd0a0aee590bb7dd1aa2b6f9cc54dd5b3da921f650dbbf323c7a51a475985

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:be41dcc61a0260ede527b5484be82e91f87864d90ae2dccb1fede28779c74532

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:28f6bc9e60e69ed51993eaa83827cce18332ab687d08f3958cd1ddab25584eab

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:28bf92aa193a0fa00201b2c87852d210c6b53e108d843b5e436718bcb1f1e09b

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:af2771164a4548e7922be7dbcff47e46dcbb98f556e0658be5d662bc4031ad5f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:c2aa77a49c22cd9daf3d2e2237da98c91e2307962a4dc14eb47b6011f72df5b0

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:c64c88807349f5d22c425bae67e89bbb1a343134c415480fbbe247ed97f7459d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:58:32.443340Z digest=sha256:20c00436f8b36f3b2b5d8bef984cfa00eb49b42a964d01a3ede88c27f1964e4d

Pith citing papers

No inbound Pith citation observations are available.