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Paper Citation Record · LEDGER

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently

As of 23 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2507.00915.

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

pith.paper-citation-record.v1
2507.00915 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:21:31.598263Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:48:24.946514Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8b03d44b-ef70-460b-86c4-0ec245c343ad · outbound

This paper cites Abrahams.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Abrahams

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:34.630202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.040008Z digest=sha256:d3219864f466464bb93711ec0441e6b16bb3a0ee81588e9486a41f4c5c270b51

Observation 94ceb0c0-d768-48b4-a26d-8f6e7d4b11b9 · outbound

This paper cites an unresolved cited work.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:21:34.411401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.164853Z digest=sha256:8a4a6472b09257fa5d55bb12cd0737ea7ff7e55cfcfc7886a17b71b2d04b5b9e

Observation 04240736-c1cf-4654-9cb8-8075a2e31278 · outbound

This paper cites Draper and Feras A.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Draper and Feras A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:34.184996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.280747Z digest=sha256:1fca7b4de83c16c990fb448b1a86b72c7147a4aa06ebc5770ab5a080b6ad07d5

Observation ab6d4675-222c-4fee-afea-1a6166256e04 · outbound

This paper cites Draper and Feras A.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Draper and Feras A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:33.970394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.403752Z digest=sha256:11680e4d3b287457f853a1de27e0cbb0c320f6a5a9e6fb0226b73eedda4c9f4e

Observation 9e0fdcd4-7052-4a82-b014-abf03408a29a · outbound

This paper cites Asymmetric numeral systems: Entropy coding combining speed of Huffman coding with compression rate of arithmetic coding, January 2014.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Asymmetric numeral systems: Entropy coding combining speed of Huffman coding with compression rate of arithmetic coding, January 2014

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:33.688374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.497112Z digest=sha256:6c86f5d714ee7a6be097ff8d8c5272122fcb93ad19d4672b42ef790bfddc9085

Observation 43656778-a330-4de7-83f4-9af9183f76fa · outbound

This paper cites The efficient construction of an unbiased random sequence.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently The efficient construction of an unbiased random sequence

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:33.587921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.574658Z digest=sha256:fd846a369edcace321c2e74b211c04b9f3db3105410e53aef8fbe70c169ab233

Observation 9f154444-d87a-46be-95ce-477515cd61d3 · outbound

This paper cites On the order of a (mod p).

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently On the order of a (mod p)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:33.420458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.684698Z digest=sha256:ef457d86deff75a0ac513a60f586eae6fd7a26ae3320334daf0b4ef05d1a2cf5

Observation 2762d76a-8f6d-4c29-a583-3050135f47c8 · outbound

This paper cites an unresolved cited work.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:21:33.280637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.838741Z digest=sha256:c6ac4ed2a2a59afc9e79e69991d9969cbd0e6367d3f0d564b7d38c2925f78d46

Observation 35af1b5a-c5ac-465b-ad1d-8b25b3c379dc · outbound

This paper cites Optimal rolling of fair dice using fair coins, December 2024.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Optimal rolling of fair dice using fair coins, December 2024

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:33.159981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.004940Z digest=sha256:1c5e4f4e8f6e6a5426164a9ebe9422d6b062286f87b6ce03250b167f29af5ba1

Observation a196dc16-f87b-4e0a-b949-be6cd94d67ab · outbound

This paper cites Optimal Coin Flipping.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Optimal Coin Flipping

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:33.039998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.114783Z digest=sha256:a69851b0ce53d88c8628469c9403d942e593d9925eda7c723f2c814fb6c40e93

Observation 2f25114e-b920-4078-a0f4-de215999b520 · outbound

This paper cites Knuth and A.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Knuth and A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:32.844839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.188176Z digest=sha256:93804036d33fb88d0dbf65dac8791c87e97b6f9e636391024ca8ae4e4241b17b

Observation 56d21bad-67a1-4537-a5a5-cb3eb9938233 · outbound

This paper cites Optimal Discrete Uniform Generation from Coin Flips , and Applications , April 2013.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Optimal Discrete Uniform Generation from Coin Flips , and Applications , April 2013

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:32.661128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.231396Z digest=sha256:6a72c3ebd67cbe3bcc50740c99fea1b9473883322963eb439d492314d4758be0

Observation eb8ac6c0-ec47-43f2-b3c4-436f14d7e35b · outbound

This paper cites Iterating Von Neumann 's Procedure for Extracting Random Bits.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Iterating Von Neumann 's Procedure for Extracting Random Bits

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:32.476886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.321531Z digest=sha256:62772df6a8bdf3c756a72ec7e824c255bff270a6706ca471aa2c4050798e0bd7

Observation 1d77fc9b-6aaa-470a-aa12-ca4620d54406 · outbound

This paper cites an unresolved cited work.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:21:32.324086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.391904Z digest=sha256:3b07b1baec42b2d1f56e3fef7552e3c014490d5456be14038ede248bf2f72e22

Observation 94f28fed-91d7-44d8-876f-0d94bc34cd4a · outbound

This paper cites an unresolved cited work.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:21:32.152845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.470402Z digest=sha256:b4d5f998feb4b9a6a3264858f940b0f7ced510d5ca8b3bf83cbea95cf0bbff37

Observation 416bf7d0-d3f3-457e-aa10-7408bf85fecd · outbound

This paper cites Saad, Cameron E.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Saad, Cameron E

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:31.953019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.508713Z digest=sha256:79eb6f25114f316efc52a3e6c09494f287a4312eb8bfc7d6f1abdd159c7a0703

Observation 683644f3-eb96-41dc-ac1b-5a928cfc5f00 · outbound

This paper cites Various techniques used in connection with random digits.

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently Various techniques used in connection with random digits

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:21:31.798529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.598263Z digest=sha256:c43456db89f3e4f67dd7e303032bb5eeecade8290200da2d6ed97b244d2d4c47

Pith citing papers

Observation 47d8a728-8b06-4e01-be9c-abc1502370e2 · inbound

Online Random Sampling with Real Probabilities cites this paper.

Online Random Sampling with Real Probabilities MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-02T03:48:24.946514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T03:48:24.946514Z digest=sha256:29f4b3fbd7dd90b08b854db23a0aba63730291f3ab00b9841f53fc71d376d0f4

Observation 9c660d32-9ce7-49a5-920f-905d139e26a3 · inbound

Space-Entropy Lower Bounds for Random Sampling cites this paper.

Space-Entropy Lower Bounds for Random Sampling MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-02T02:06:16.468172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T02:06:16.468172Z digest=sha256:5fb89c1ebbd285e101a3910d010d13e4e330b46600aa79380803d8832dfd5bcd