Paper Citation Record · LEDGER

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2412.08657.

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

pith.paper-citation-record.v1
2412.08657 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:05:01.584131Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

26 of 26 outbound references displayed

verified exact16
verified fuzzy4
unresolved5
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 485db62d-d63d-447b-b37a-8935a072ecbb · outbound

This paper cites Welfare and world money: the domestic foundations of currency internationalisation.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Welfare and world money: the domestic foundations of currency internationalisation

Reference 1

Resolution: verified exact; doi, observed 2026-08-12T11:05:02.176120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d4aa25a1-d278-472b-b97f-74d37bfd4e27 · outbound

This paper cites Foundations of ergodic theory.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Foundations of ergodic theory

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T11:05:01.371020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 238439ef-93f1-481b-aa5b-a93db8c8f216 · outbound

This paper cites The ergodicity problem in economics.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications The ergodicity problem in economics

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T11:05:01.377134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebbee15f-ec07-4510-8082-d933c7cce619 · outbound

This paper cites Complex systems approach to economic dynamics, volume 592.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Complex systems approach to economic dynamics, volume 592

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:05:02.777993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b4254edf-e0b9-4397-abed-96955679cb5f · outbound

This paper cites Transaction costs, mistakes, and performance: A ssessing the importance of governance.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Transaction costs, mistakes, and performance: A ssessing the importance of governance

Reference 5

Resolution: verified exact; doi, observed 2026-08-12T11:05:02.081927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9daf651f-742e-440c-9972-427e5a1eb984 · outbound

This paper cites Monetary P olicy R ules B ased on R eal- T ime D ata.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Monetary P olicy R ules B ased on R eal- T ime D ata

Reference 6

Resolution: verified exact; doi, observed 2026-08-12T11:05:02.050161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9da3cd95-da85-40f0-8550-454550a623f1 · outbound

This paper cites Alexander del mar, irving fisher, and monetary economics.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Alexander del mar, irving fisher, and monetary economics

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:05:02.755636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3887824e-f3f0-4876-ab92-0dd110bf333b · outbound

This paper cites Arbitrage theory in continuous time, volume 4th ed.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Arbitrage theory in continuous time, volume 4th ed

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T11:05:01.412934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4210064f-8b44-4833-96dc-33f0b38de8a5 · outbound

This paper cites Samuelson.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Samuelson

Reference 9

Resolution: verified exact; doi, observed 2026-08-12T11:05:02.028682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0e2cee47-d9e6-48d8-8d73-721d2ded081d · outbound

This paper cites A short history of stochastic integration and mathematical finance the early years 1880-1970.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications A short history of stochastic integration and mathematical finance the early years 1880-1970

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-12T11:05:02.581469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e614ce24-38e8-4d36-acec-1286becfc82b · outbound

This paper cites Velocity of money and inflation dynamics.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Velocity of money and inflation dynamics

Reference 11

Resolution: verified exact; doi, observed 2026-08-12T11:05:01.999936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c5b4ddc4-3cee-41d0-be15-7dd680073a61 · outbound

This paper cites Money velocity and the natural rate of interest.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Money velocity and the natural rate of interest

Reference 12

Resolution: verified exact; doi, observed 2026-08-12T11:05:01.965465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f6d8ad5a-2ecc-41a4-828b-9bb17d80bdf5 · outbound

This paper cites Ardakani.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Ardakani

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T11:05:01.456892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41f25a39-5560-49c6-b06e-80bd38db2fc5 · outbound

This paper cites Random W alks, B reaking T rend F unctions, and the C haotic S tructure of the V elocity of M oney.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Random W alks, B reaking T rend F unctions, and the C haotic S tructure of the V elocity of M oney

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T11:05:01.470546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e524d11-a3b8-44bf-b1d1-e1bfe82452be · outbound

This paper cites Money-flow computations.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Money-flow computations

Reference 15

Resolution: verified exact; doi, observed 2026-08-12T11:05:01.938748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 00258eef-6cd1-422c-adb1-ea3e5d5c9fe7 · outbound

This paper cites Seeking ergodicity in dynamic economies.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Seeking ergodicity in dynamic economies

Reference 16

Resolution: verified exact; doi, observed 2026-08-12T11:05:01.905751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9a36d090-e6cf-4fdb-9056-3a5b979e4573 · outbound

This paper cites From the ergodic hypothesis in physics to the ergodic axiom in economics.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications From the ergodic hypothesis in physics to the ergodic axiom in economics

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:05:02.734503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0ab3fe27-3eb2-480a-8472-cb377c7beaea · outbound

This paper cites Day and Wayne Shafer.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Day and Wayne Shafer

Reference 18

Resolution: verified exact; doi, observed 2026-08-12T11:05:01.873125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fb793d9b-4e7e-4152-8d0b-bae31ba7803b · outbound

This paper cites Chaotic analysis of us money and velocity measures.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Chaotic analysis of us money and velocity measures

Reference 19

Resolution: verified exact; doi, observed 2026-08-12T11:05:01.836461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 23dc3e76-74d3-4dda-9ac9-483fd1ec910b · outbound

This paper cites The mean ergodic theorem.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications The mean ergodic theorem

Reference 20

Resolution: verified exact; doi, observed 2026-08-12T11:05:01.799467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 35043881-2378-456e-9a9c-5377d65ca010 · outbound

This paper cites Log-ergodicity: A New Concept for Modeling Financial Markets.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Log-ergodicity: A New Concept for Modeling Financial Markets

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-12T11:05:02.215130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7fb6602c-33e8-4ab7-82ab-f99040c29957 · outbound

This paper cites Stochastic specification and the international GDP series.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Stochastic specification and the international GDP series

Reference 22

Resolution: verified exact; doi, observed 2026-08-12T11:05:01.763648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 08e1ca05-5afc-4827-a979-1e9865a9a787 · outbound

This paper cites The japanese banking crisis: Where did it come from and how will it end? N BER macroeconomics annual , 14: 0 129--201, hosh timeline 1999.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications The japanese banking crisis: Where did it come from and how will it end? N BER macroeconomics annual , 14: 0 129--201, hosh timeline 1999

Reference 23

Resolution: malformed identifier; doi_truncated, observed 2026-08-12T11:05:01.725017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7317c761-887f-4111-a185-26a100461a27 · outbound

This paper cites Exploring I nterest R ate M odels: I mplications on B ond V alue M easures in a D ynamic F inancial L andscape.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Exploring I nterest R ate M odels: I mplications on B ond V alue M easures in a D ynamic F inancial L andscape

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:05:02.711749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bec553b7-39b6-458a-9b29-dea2287a9456 · outbound

This paper cites Money G rowth, M oney V elocity and I nflation in the US , 1948--2021.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications Money G rowth, M oney V elocity and I nflation in the US , 1948--2021

Reference 25

Resolution: verified exact; doi, observed 2026-08-12T11:05:01.696253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6f0fe973-c817-4256-a8aa-da06b5dbc686 · outbound

This paper cites The quantity theory of money, 1870-2020.

Log-Ergodic Dynamics in Stochastic Monetary Velocity: Theoretical Insights and Economic Implications The quantity theory of money, 1870-2020

Reference 26

Resolution: verified exact; doi, observed 2026-08-12T11:05:01.667561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.