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Paper Citation Record · LEDGER

MichelangeRoll: Sculpting Rational Distributions Exactly and Efficiently

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.040008Z digest=sha256:6178d0d71a42f3bb11d31ea41b0e7742f24270b85d66f9c657fecd81ca95fa55

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.164853Z digest=sha256:f56a560d3635830af674b99ddd5a45f6b5ea91b7df0a9b86b27c91b02723a939

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.280747Z digest=sha256:5c13280b6aa0f2f501ac320a5001de6bfa4f815977b84dbe52a38cedd9521527

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.403752Z digest=sha256:a1a855481d36b07e687da64bd4e3b9f5439492d565f66b5f41417405e758ae5d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.497112Z digest=sha256:cd3e99513d967563dede6461349e6dc7d0b9b29dcdf2908bf17e0db5bb03d9a4

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.574658Z digest=sha256:7de0406fbb7959f084776aec9999dbab03d3f58b77cfa6a625085ab113f7a024

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.684698Z digest=sha256:eb82263f6da82a3571ce5d1adb338a463d7fba4af5f06e8cd467a02dffacbc77

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:30.838741Z digest=sha256:e84b134386fd8bf4cc23e9927b604cf26ebec3ba453ca5c513767498465da455

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.004940Z digest=sha256:4df247780aeec603b6e7c0a2f4fab957a5c2274288cc76cc746bf376dab42ebb

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.114783Z digest=sha256:30bd8906a861059b9dc94875e698eebe2be59ae20a7194d02993ad647535b89c

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.188176Z digest=sha256:f0271541920c16ed8fd83452f4f4c67efd4ccf81969df2b0f23f9a09eb7aa82a

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.231396Z digest=sha256:891f695b756c31c3d8bcec408d33fc64c69f22a6da45e168c330c3c2f0674552

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.321531Z digest=sha256:5d1f40cce12995748fefb871256b2d6de1857218a2a0549c43e507dfac2619ae

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.391904Z digest=sha256:950d4f19d848e94f3d40bc4f9d2ee329338f8356cf1dcab1cacec051aa0684d1

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.470402Z digest=sha256:ccb09d9f0632d915b4f814ba6a34bcd049d88a4577a8abcf6131e27fcb87b24d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.508713Z digest=sha256:9c92a62b7e11910899d2a8182268d9d4fa905864e00d5f0f2b8b47fe37b04a03

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-06T21:21:31.598263Z digest=sha256:d325f2249942825211f837fd5f6993b5020403e24bd7d5b8eb8893c7d8b1b4c7

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