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Paper Citation Record · LEDGER

Approximately Jumping Towards the Origin

As of 23 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2412.04284.

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

pith.paper-citation-record.v1
2412.04284 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:41:22.414569Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

9 of 9 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2124ad00-6fb9-47cf-88a2-cae25f0739fe · outbound

This paper cites Bettin, G.

Approximately Jumping Towards the Origin Bettin, G

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:41:22.522521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T21:41:22.388825Z digest=sha256:bfee6acb6b589d09e16d253bb9416c58565be833868c82b06d2cc301ee948e14

Observation ed43bcd9-94d7-46d4-86a2-1e292a985b12 · outbound

This paper cites Goetz, Dynamics of a piecewise rotation.

Approximately Jumping Towards the Origin Goetz, Dynamics of a piecewise rotation

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:41:22.513837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T21:41:22.392382Z digest=sha256:b8b255a4f2eda20f675a6ca731002f680533623de1fe98094c22952b0daf36b6

Observation 59884da8-1dec-4bb8-8c8b-a073ff89bbd1 · outbound

This paper cites Goetz, Piecewise isometries—an emerging area of dynamical systems, Fractals in Graz 2001: Analysis—Dynamics—Geometry—Stochastics (2003): 135–144.

Approximately Jumping Towards the Origin Goetz, Piecewise isometries—an emerging area of dynamical systems, Fractals in Graz 2001: Analysis—Dynamics—Geometry—Stochastics (2003): 135–144

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:41:22.504255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T21:41:22.395660Z digest=sha256:afe5bbd4070a6e2837b4bbed4531a64b90aa9134ceb983db7bf4f50ea5b98104

Observation e8c60f61-5126-4f36-9377-ced3474782ad · outbound

This paper cites Harris (1956) The existence of stationary measures for certain Markov processes.

Approximately Jumping Towards the Origin Harris (1956) The existence of stationary measures for certain Markov processes

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:41:22.493670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T21:41:22.398827Z digest=sha256:d601c96eb34003c41f3ee65bca8cea03024ba879f31314a99bc404b0120b6676

Observation 24dfb8d0-e5f5-4f35-8f2f-219d3ecb2f82 · outbound

This paper cites Ledoux, The concentration of measure phenomenon (No.

Approximately Jumping Towards the Origin Ledoux, The concentration of measure phenomenon (No

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:41:22.484476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T21:41:22.401941Z digest=sha256:53a257300f6ba8a3372212dc97567bb94206adbec10356ea450414b6666b01e3

Observation 09f5443a-72f0-4e3d-b0ec-ca93939c6299 · outbound

This paper cites an unresolved cited work.

Approximately Jumping Towards the Origin Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:41:22.475982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T21:41:22.404933Z digest=sha256:76ae3b665187e1bc183cbee6f86137219ac596a76b404162c1817c927e05c4c1

Observation f6df920d-d864-4082-819c-d16db19a551f · outbound

This paper cites Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM CBMS-NSF Regional Conference Series in Applied Mathematics (63), 1992.

Approximately Jumping Towards the Origin Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM CBMS-NSF Regional Conference Series in Applied Mathematics (63), 1992

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:41:22.466033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T21:41:22.408329Z digest=sha256:00dd6ea719801e8a38ac908044c42addd8bdf0b76cd9c18ff51c13f2a29d3b7a

Observation 11939b84-c931-44b9-8386-b5f0631c30b1 · outbound

This paper cites A curious dynamical system in the plane.

Approximately Jumping Towards the Origin A curious dynamical system in the plane

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-11T21:41:22.444124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T21:41:22.411015Z digest=sha256:d67c0c834110b62ec7ab6062e1992fe42ce3e6fb9a6a3185775b59c722fc4cea

Observation 4604624e-f936-4d7b-85bf-618c47ad8c5c · outbound

This paper cites van der Corput, Verteilungsfunktionen II, Akad.

Approximately Jumping Towards the Origin van der Corput, Verteilungsfunktionen II, Akad

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:41:22.454833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T21:41:22.414569Z digest=sha256:f320302fc63994186f8346614dd0460cf4a79e89d8001ffd4223bf6b8f974c5d

Pith citing papers

No inbound Pith citation observations are available.