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Paper Citation Record · LEDGER

Approximating Mathematical Constants using Minecraft

As of 13 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2411.18464.

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

pith.paper-citation-record.v1
2411.18464 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:14:38.251784Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e77ca0f4-fd2c-4647-a6ea-22d90795ec7b · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.586809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 9adceaac-dad2-4ce8-a942-dde30e762ae7 · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.569066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f32e388d-f44c-4701-88b1-60c610de1690 · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.552300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.167405Z digest=sha256:c92389eff4ddcc03658086dcb4927aa6051b989cf54e4990b277da23e8e6e255

Observation 76d96d01-bca3-4530-ab41-80b84f38bf7d · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.535125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.173278Z digest=sha256:7f01a5c2ad4d94c2b58d72c015e903233b1a4d4272cf0ce95d5b01bcce8745d8

Observation c3c19d4b-c788-405e-9ee3-a748914af0a4 · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.519027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.178683Z digest=sha256:47a1abaa369cc0a402371b1e818be1bf0bbdeb40d78322c6e8f0eda0911821a5

Observation 1a845ec1-1747-40fe-9b94-7a1945f24e9c · outbound

This paper cites https://academo.org/ demos/estimating-pi-monte-carlo/.

Approximating Mathematical Constants using Minecraft https://academo.org/ demos/estimating-pi-monte-carlo/

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:14:38.503548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 418cef09-ed3a-459c-a26c-ff5faab7e5f0 · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.487495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.189479Z digest=sha256:a9762a1552eb9c7407d83374436a3ba67c07f71a0ff0f34dafeaea7d0aa0ace7

Observation a708e557-c598-40fa-a94b-4a9d097a150a · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.470341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.194905Z digest=sha256:210d98cc7fcda0041056aa28bb89a0617d86d53c7e907cf2000d818980bde711

Observation bd876b14-0e2c-4d37-b354-12382b1354b3 · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.453457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.200653Z digest=sha256:5fb90a3dbbd2e828af64ac4a39b4da708d66b71b849455d304dd4cfe2bf21f68

Observation 5c5d48d3-4277-40af-ad0f-83a168ad342b · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.437459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.205522Z digest=sha256:be9affa72f660298cafa68ca47e8ddf780aac2609d81ae9d501e7c30a07ce6c0

Observation 458db1d2-b1a1-4fdf-a438-5e21261c2b60 · outbound

This paper cites South-East Rule.

Approximating Mathematical Constants using Minecraft South-East Rule

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:14:38.421625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.210433Z digest=sha256:df22e5d9bb03a1a181cb250a9139c8ff08928b1dafe0efb2e82ec5a2d3661580

Observation b87be014-3d66-424f-8256-4c28d525d99d · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.406041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.215349Z digest=sha256:4db627ba9d7862ad2e6da47e5d19043a6d7925fcc4043accfe8686cffae50a4b

Observation 7e4a1332-e368-4553-87fe-0f632af58ad7 · outbound

This paper cites https: //clickspeeder.com/pixel-circle-generator/.

Approximating Mathematical Constants using Minecraft https: //clickspeeder.com/pixel-circle-generator/

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:14:38.391220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.220643Z digest=sha256:6fdb6b91e23f4dacfb3352a4a44220ec6dfd0d7e020d00352d4e1bc9a51cd754

Observation cb0d3f01-0319-42a3-9dae-4f1579deb6aa · outbound

This paper cites and Robertson, E.F.

Approximating Mathematical Constants using Minecraft and Robertson, E.F

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:14:38.374506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.226169Z digest=sha256:852e929757b654e7aed2f7b5249a82e7aee37591aabb04d00ee0f736e93e9cfb

Observation 3d01ef01-8e0c-42d8-98a8-2592292ab95d · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.357160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.230707Z digest=sha256:206a2638ca0daeec05e9ba46b2a8ccd275108323f3d2ef5e431b467f1f307630

Observation f7036702-40f2-471c-9139-7f58ef2e84df · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.341329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.236107Z digest=sha256:ef0ca5652045a32c520390a985bf579d766364bc10c92f420196800b649d6d9e

Observation d451ba0c-f413-4a50-b6c4-68e0dd1621a1 · outbound

This paper cites an unresolved cited work.

Approximating Mathematical Constants using Minecraft Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:14:38.323692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.241830Z digest=sha256:174f141e930b0d23fdfb5a2e6647e01fca98e57469737adae30c016c6832405b

Observation a3f6a130-36ee-4d00-9718-edd3ac382b11 · outbound

This paper cites (2012, September 21).

Approximating Mathematical Constants using Minecraft (2012, September 21)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:14:38.307198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:14:38.246881Z digest=sha256:899b819a6e47d791877f8dbc676b8eed8261e9b93f2c8f2ef44fcac35c2927bd

Observation f1f16757-28fb-47db-9a17-47337bd6aae9 · outbound

This paper cites Weselcouch.

Approximating Mathematical Constants using Minecraft Weselcouch

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:14:38.291555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Pith citing papers

No inbound Pith citation observations are available.