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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 2026-08-12T06:34:41.77262+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

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.167405Z digest=sha256:1131ec6f29d4a4bec464f3ab9cd6f9e1d7fc6cb71b7394f8f91167f43496b9df

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.173278Z digest=sha256:2c34bf7417adee0f455fb0406031ef311ef128177031690a4618580fda295192

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.178683Z digest=sha256:875f2df626ad5a7af47cdd0612e15b86cfecf25010e71e8882a84af3ae02f422

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.189479Z digest=sha256:40f5b02d097c9901e180a58511754a82df6f6d9a25211dac6015c29d0c1ba86a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.194905Z digest=sha256:8d1642f1e9687152f5ea8981ea20a3965198ffba24b83ec5b7b2dbf04c502d96

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.200653Z digest=sha256:e9667d927c665d06faebb13fd0fc85834938ea9d92187c80eecdf504013e4fd3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.205522Z digest=sha256:e9568f24dfc0bb6645df4840114d686a9156d807f2baa64fe6a7c5a879213054

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.210433Z digest=sha256:6968b513c527e8bb82b6948198418fd13feb178b7ea7e99478f7f6080c0bbf08

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.215349Z digest=sha256:c89954e411555f973952783cfa0ba3b0b01077531fc5b86d99c83f1d028b6988

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.220643Z digest=sha256:1fb48bbdb267a5ecb3664215b404ce4c4d28cb1e75ab57e865a78b446d9eb226

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.226169Z digest=sha256:aaabfb64ef5acc1dde50ccfbf8f93765add6369c9ac7157c65cc93d6f3f9369f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.230707Z digest=sha256:602882753206d0e068420fe14120795ec2ee3e1db289b833bdf69110387b27ce

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.236107Z digest=sha256:545e674c69398b4201bd09942533db69ada85364a7cc430e8f7b9090757a30f4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.241830Z digest=sha256:96f0c153d562693c89835db829237f492624137b171d8d4a0e875f4c70ab4468

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:14:38.246881Z digest=sha256:b5d224625a6f7e9703fabf2b0e5682fda93cc73bcd8702d33fa30de3f118e3c3

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 2026-08-12T06:34:41.77262+00:00.

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Pith citing papers

No inbound Pith citation observations are available.