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Paper Citation Record · LEDGER

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

As of 18 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.364266Z digest=sha256:9424d1f818e3fa8a15e37f80d235c2c0875f1047d1c92c507e1e7859e46af607

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.

source=arxiv_source observed=2026-08-12T11:05:01.371020Z digest=sha256:e77ab438198445548ae4eef573e186ce636092914c18771f8524e77730153958

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.

source=arxiv_source observed=2026-08-12T11:05:01.377134Z digest=sha256:4e7eb75e71c0d3d189069728071f3104098a2641fd82e286de4efcd22a898a3b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.384848Z digest=sha256:e9375907fae1aeed3cf053381a9587a6951acf5abad6946bda063395c21d60f9

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.393667Z digest=sha256:47a312a6c86c271ff607954fab35736d020ce39ddfa9a11a3e05a89a9ecc9dbb

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.400183Z digest=sha256:1f8f3eb656af25de3e3279b64bc459807c22abf0bb563ccceb6c5e596d3cd8d5

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
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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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.406942Z digest=sha256:0c686f57631ad90327f7e3b6b64a962c611386594894571f3d3991b470f39127

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.

source=arxiv_source observed=2026-08-12T11:05:01.412934Z digest=sha256:90fb4f10e0d9e58f93989e74e3fbea7b6780f060fa677bcae2a77b26890b5de6

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.420128Z digest=sha256:b49e944ee64045c9afce9e90e3cf7abe2c53bfddcb9900b4829b336dce99a42e

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.427178Z digest=sha256:84a2f3fb9b45cab8d01ad395d475d9e2e975ddbb67a19d9fc3f369ece547a7ea

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.436333Z digest=sha256:57eaaea95e699255891dd36ecedce54a8fe15a989989d1696bf71bb4e8243326

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.446013Z digest=sha256:a9cffefd6ad9fdd84d834219cc3de516e974e246ec8645c59a0c9f6ccf343cc9

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.

source=arxiv_source observed=2026-08-12T11:05:01.456892Z digest=sha256:2f7ba87d8b30340815736358aa21d41f5906d68dfc507f6819303b5704a3d4a5

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.

source=arxiv_source observed=2026-08-12T11:05:01.470546Z digest=sha256:e2387950a3a5a8f957587bafaead5e0fc3251ce5bacc2c9723cc78b21b6da443

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.477138Z digest=sha256:5683791794c1637bc1025224191b28102db4b791302dba850fa9cb161ed4b298

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.492203Z digest=sha256:33ea649e5079a15c9a2594fd3466f640ac3a9e320ff9ada853e68a7ffe81c366

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.498326Z digest=sha256:941a427ca0a73bc1856d3ce6e89cb3f9522349b503ce64e3657f065fc6131c93

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.504152Z digest=sha256:e5569c65d29d82cb391f1e0dddd5bcd45af91b89e94780d6daa84e4389c49603

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.511513Z digest=sha256:9d676f79152850ee6be42adc3ceff74320bc0b0316d72c228db29f9bb472f414

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.522176Z digest=sha256:65fd0773353d44ad2898a63ce0027a790e7a0ceab2a20f3ee514dc0e6a0f4b41

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
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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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.539087Z digest=sha256:d34b488e1ceb2fc8ba8a60a4b0e7679b11ebe778b519fdd32e4971a1e0671791

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
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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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.549159Z digest=sha256:91a3d7b61565f656cd5e0ca0884825885da6300db8fd55ed4bef4e34e6e27734

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
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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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.555669Z digest=sha256:28749498c7af598c3ef79da4f7d6a030ad5ea526e8c6ff6575795f748c2c822f

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
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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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.566904Z digest=sha256:7c51abc3fbc98cf46233341894b8b72031ed7bb396443e0b98a762dac18a5a16

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
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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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.577632Z digest=sha256:88d50246c94a4021e68c2a989dc0a0b49428ab2a46573f76ba2c515fefb52e63

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-12T11:05:01.584131Z digest=sha256:5aede6349d546ff0f37f297f1412d7ccda3ced170bc5d7967a2cf0609620bd9d

Pith citing papers

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