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Paper Citation Record · LEDGER

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.06438.

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

pith.paper-citation-record.v1
2608.06438 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:31:47.144753Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

13 of 13 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ef457c60-acb1-44b3-98cc-178e27f0896a · outbound

This paper cites an unresolved cited work.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:31:47.325514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.095472Z digest=sha256:d88a194b4c434c37d06098364b076b4436f760f07cdffd30d87e929266d4a56e

Observation a20c5687-fb48-4051-9089-8ec08287d092 · outbound

This paper cites an unresolved cited work.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:31:47.315008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.099869Z digest=sha256:6d764c9085f15207a2f2f1674e28ddf37607aae2d5bf3be24b2eaead174ac2d4

Observation ecc6208a-7d89-4a03-8e00-f03eb3c2c9a2 · outbound

This paper cites Les probabilit´ es d´ enombrables et leurs applications arithm´ etiques,.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits Les probabilit´ es d´ enombrables et leurs applications arithm´ etiques,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:31:47.303452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.103684Z digest=sha256:88f5d2b1c2a02cd26298eb37805d295b5e30d13d42b8f9808471200588644f97

Observation ec048413-cd5e-410f-859a-feb0d01b8c63 · outbound

This paper cites Kuipers and H.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits Kuipers and H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:31:47.291185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.107380Z digest=sha256:c9986a8dd2d561c15da2941f20e2429053ca376ad526cbb268e72bc6a575f745

Observation e7d4e2be-ef38-40f1-bf65-b1ace4e43bd6 · outbound

This paper cites Bugeaud,Distribution Modulo One and Diophantine Approximation, Cambridge University Press, Cambridge (2012).

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits Bugeaud,Distribution Modulo One and Diophantine Approximation, Cambridge University Press, Cambridge (2012)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:31:47.279514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.111466Z digest=sha256:a930f903723ebdee3e33f667d21eaf5ffbdc3fccfa3a60c29f794d853615b005

Observation 29a813aa-1778-4bb0-b853-ee92500a01fb · outbound

This paper cites Random Generators and Normal Numbers,.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits Random Generators and Normal Numbers,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:31:47.267453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.115987Z digest=sha256:324b398c0464d71fb86bc1843495bafea1e631c6517f4b20eb45923cd20ab16e

Observation 6d0210ca-99d1-4c29-9bcb-c65b824eb798 · outbound

This paper cites On the Rapid Computation of Various Polylogarithmic Constants,.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits On the Rapid Computation of Various Polylogarithmic Constants,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:31:47.257166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.120454Z digest=sha256:03a920df094d99fb867128531437209bb07f29fc1698576a4db6ad79652de219

Observation db6dec2d-e227-4d77-8739-387207334c3e · outbound

This paper cites 314 Trillion Digits ofπ,.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits 314 Trillion Digits ofπ,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:31:47.246296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.124555Z digest=sha256:23fd5b2dc4fd72aa6b91e37cfe0d02d058db50c83313e5cccbcfa01721dd7dd9

Observation 07cb3000-27c8-4cbb-95d9-f5ef6150245c · outbound

This paper cites 314 Trillion Digits of Pi Stored in the Backblaze Cloud,.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits 314 Trillion Digits of Pi Stored in the Backblaze Cloud,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:31:47.234857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.128442Z digest=sha256:93fbbb909478f542351aea3997389cbd7d0a8edf6d7e5aee15b7ae9b1cfb49b3

Observation 29dc25c4-9b4a-4516-ab70-725833b9e9cb · outbound

This paper cites Digit Statistics of the First 22.4 Trillion Decimal Digits of Pi.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits Digit Statistics of the First 22.4 Trillion Decimal Digits of Pi

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-10T04:31:47.183699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.132415Z digest=sha256:b24c14875127a45b4cc3bf4f4a538b79161adde5a3d8d4a4db75c3bec13958e8

Observation 3ed555a6-630f-4dfb-bbe3-ae97856f3332 · outbound

This paper cites The Monte Carlo Method,.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits The Monte Carlo Method,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:31:47.223637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.136930Z digest=sha256:c7548483915b32a80dd4d7eadaeede5da79e6734127bfc2775af8fcea0d63c27

Observation ac20a467-61fc-4f30-b141-922c8cbc1cf5 · outbound

This paper cites an unresolved cited work.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:31:47.211009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.140818Z digest=sha256:1c77cbaa7fb917685e7a83e0f6b342586294d616e1e5a70d6950060980cd9658

Observation 23bd542d-c109-4255-aa6d-45900c1dd204 · outbound

This paper cites an unresolved cited work.

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:31:47.197576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T04:31:47.144753Z digest=sha256:c65e8f12adb121b4cb55283ba05c186f8bf71969aa38bd0a6dc091ed586f293b

Pith citing papers

No inbound Pith citation observations are available.