Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:31:30.379190Z
Paper Citation Record · LEDGER
As of 23 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 0 inbound Pith citation observations for arXiv:2507.13494.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:31:30.379190Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
79 of 79 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a94021fc-0821-4aab-8fa2-ae5c40d045c9 · outbound
Random Variate Generation with Formal Guarantees Abowd et al
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7883009b-1e08-4f24-850a-4f470ea9ef04 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e921e0a6-2e09-4a1d-ab20-cfc36a6f242e · outbound
Random Variate Generation with Formal Guarantees 2020.Foundations of Probabilistic Programming
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 79e72d42-e227-4ed5-9be2-edbc9d725902 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 4
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.
Observation 5f9e6587-eb00-49c4-a637-0ac0905976e9 · outbound
Random Variate Generation with Formal Guarantees 1986.Probability and Measure(2nd ed.)
Reference 5
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.
Observation 448ba786-7e33-4a3e-9aa2-ad996a020f84 · outbound
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b913a89-870c-4d2d-9619-3ef7252b7ec1 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab5b56e7-8672-4170-aae8-0f94344f13d6 · outbound
Reference 8
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.
Observation 65dadb94-da71-40a8-beb6-06faeb42f3ba · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14948895-67e0-4d5e-ba8f-aaf6e2400e00 · outbound
Random Variate Generation with Formal Guarantees 2006.CR-LIBM: A Library of Correctly Rounded Elementary Functions in Double-Precision
Reference 10
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.
Observation 7ff06c7f-5f53-4949-b186-12f64f0c6b4b · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 11
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.
Observation 6009d45b-0d41-4c4b-8523-cf1b59c269e5 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 12
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.
Observation 723c53b3-3f5f-49ca-ab22-a8bab9d2c101 · outbound
Random Variate Generation with Formal Guarantees 1986.Non-Uniform Random Variate Generation
Reference 13
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.
Observation d9e2664b-47ad-4d41-ae03-2eb6a7300bc7 · outbound
Random Variate Generation with Formal Guarantees Random variate generation using only finitely many unbiased, independently and identically distributed random bits
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 57fa8b39-32cc-4320-a4c4-fc2ee8491b00 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 15
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.
Observation db675b2f-b357-4512-9037-34b2bcd3b872 · outbound
Random Variate Generation with Formal Guarantees Efficient Rejection Sampling in the Entropy-Optimal Range
Reference 16
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.
Observation 08358e01-7bfb-4bb8-a71b-f56181557b54 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 17
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.
Observation 0b43fb65-f14f-4389-bca7-9169e16740bf · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 18
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.
Observation fca2e42b-79bb-404f-97d1-7dc4fd9754f6 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 19
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.
Observation 360ed89f-1feb-4105-8a2c-42f68fbe1e2f · outbound
Random Variate Generation with Formal Guarantees Dwarakanath and Steven D
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34e30ea1-4196-4ace-bd60-1f2f53aa74f4 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0252a130-c91e-4960-80e4-76860f6a9784 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c79b7750-a259-4637-b828-607e7a02132b · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1fbcfce-0e76-41e6-9acb-c76a46b14101 · outbound
Random Variate Generation with Formal Guarantees 2009.GNU Scientific Library Reference Manual(3rd ed.)
Reference 24
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.
Observation d4432d02-f3ef-4cf2-a88a-d7733d33effa · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dab3fe5a-4151-4b55-a37e-102760f150ff · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 26
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.
Observation f2f43800-39e3-4063-8186-89c0d204d50d · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 27
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.
Observation 5705741e-c0c9-4a1c-b1f1-1bde15e6dd51 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 28
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.
Observation b691950e-55b8-4588-a6fa-3a8ec20bfb5c · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 29
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.
Observation 28753fef-fc1b-457b-a221-2689bb7ca0f6 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 30
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.
Observation de8eb4ed-5ee5-445b-a64a-6c7a0d1f0cc0 · outbound
Random Variate Generation with Formal Guarantees 2023.GNU MP: The GNU Multiple Precision Arithmetic Library(6.3.0 ed.)
Reference 31
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.
Observation 89892af3-044d-46f5-9b93-9f6835f6c0ba · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ec69618-4606-431c-a5d3-b23820d32982 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 33
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.
Observation cda4b82e-698d-4eec-bdf1-375b754d2f05 · outbound
Random Variate Generation with Formal Guarantees 2019.IEEE Standard for Floating-Point Arithmetic (IEEE Std 754-2019)
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d55ef691-8ed4-4205-b750-d6c06d7a794c · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 35
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.
Observation a81cc129-2584-4363-8cbb-998b863e16da · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98924023-ca4a-4fcd-9a11-8e858408884d · outbound
Random Variate Generation with Formal Guarantees Knuth and Andrew C
Reference 37
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.
Observation 840f9807-5690-4ed3-a427-01e55e9ea493 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e35f0d67-1473-4b47-bcdd-cb8c337ba18f · outbound
Random Variate Generation with Formal Guarantees Lim and Santosh Nagarakatte
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1070252f-192d-4cff-bf4c-5beb193e1aec · outbound
Random Variate Generation with Formal Guarantees Optimal Discrete Uniform Generation from Coin Flips, and Applications
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b083c793-0f62-4a0e-8081-2b44713ac23e · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06f1b987-7431-43af-851d-0733e0b9a51e · outbound
Random Variate Generation with Formal Guarantees 2017.Probability and Computing: Randomization and Probabilistic Techniques in Algorithms and Data Analysis(second ed.)
Reference 43
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.
Observation 4b7b01b7-ecc4-487c-aec3-0db21264231d · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 44
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.
Observation 636ec8e2-4067-4917-bb19-6758e0852b13 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 45
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.
Observation 88588651-81de-4a51-aa2d-7f83cabf23a7 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 46
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.
Observation 0693bb3a-6ed9-4b4d-a0c1-37955d19118f · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 47
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.
Observation e1821c59-fd7d-4a9d-9862-2d4ae0d02870 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ca792cf-58ac-459d-a4a3-15cb6096de66 · outbound
Random Variate Generation with Formal Guarantees 2022.Standard for Posit ™ Arithmetic
Reference 49
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.
Observation de7f54fb-2cf1-41ac-826a-177a24fad3a7 · outbound
Random Variate Generation with Formal Guarantees Press, Saul A
Reference 50
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.
Observation 1cf8a2e0-39f1-4aaa-9bc1-adf9190573c4 · outbound
Random Variate Generation with Formal Guarantees Roy, Frederik Vercauteren, and Ingrid Verbauwhede
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0202cea8-58f4-4a70-af3b-cdc0dfc5cc9f · outbound
Random Variate Generation with Formal Guarantees 2025.librvg: C Library for Random Variate Generation with Formal Guarantees
Reference 52
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.
Observation 71a6b2bd-497b-425c-93b1-ba0ea4c848de · outbound
Random Variate Generation with Formal Guarantees Saad, Cameron E
Reference 53
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.
Observation aeeecb40-1275-4f64-8b59-636b085d6fac · outbound
Random Variate Generation with Formal Guarantees Saad, Cameron E
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8553bc99-8720-441f-a51b-5448dd481df5 · outbound
Random Variate Generation with Formal Guarantees Saad, Martin C
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2002c0a-8f8f-4133-a551-f95f4210108e · outbound
Random Variate Generation with Formal Guarantees 1978.Computational Geometry
Reference 56
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.
Observation 24a3461f-a448-422a-971a-f15981398f60 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 57
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.
Observation 14d281c4-58c7-4eb8-a0ee-74644e1e256c · outbound
Random Variate Generation with Formal Guarantees Sobolewski and W
Reference 58
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.
Observation 4b087667-9af1-435b-9369-77bdc6b0a832 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 59
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.
Observation 30546488-3f67-48b7-8bca-e7609af59896 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 60
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.
Observation ce47a151-6ca8-4f4c-96da-ff69b0e19142 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 61
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.
Observation e8152b85-c606-4507-aedd-b4d7dd303124 · outbound
Random Variate Generation with Formal Guarantees Thomas and Wayne Luk
Reference 62
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.
Observation d0583158-6140-4f49-b6d2-631a89d26548 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 63
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.
Observation 3149333a-dd83-407d-a5f5-29f49805f778 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c39d1b00-0080-45bd-935d-e3df9cb38808 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 65
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.
Observation 90efaf6f-f04b-4432-bddd-815ae87e9bc2 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 66
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.
Observation 50b30f43-e2a2-4aae-9986-bf8bb39318ff · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 67
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.
Observation 76902180-9561-44cf-9e66-ab3fa7052992 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 68
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.
Observation b616d62d-5c4f-4afa-9f36-63b5c4287e65 · outbound
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 25664d2c-b397-4dfc-9fde-2db7778c0e4a · outbound
Random Variate Generation with Formal Guarantees Since 𝑧𝑗 = 0for all ℓ<𝑗<ℓ ′, we can apply Theorem 4.2 to ( ˆ𝑧, ˆ𝑥, ˆ𝑦,ℓ)
Reference 70
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.
Observation d5a893cd-4f25-4254-9e97-17134711b136 · outbound
Random Variate Generation with Formal Guarantees Also, all intermediate values appearing in both algorithms are representable as(1+𝐸+𝑚)-bit signed integers.« Proof.We prove the claims for𝑥<1and𝑥=1separately
Reference 71
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.
Observation e6fce32b-8913-4ef1-b257-2a96554f4795 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 72
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.
Observation 28b38c3b-3651-48ad-9688-1fe397f4f91c · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 73
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.
Observation 8565d6b2-cf90-46c9-8b56-1ea7adc4530e · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 74
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.
Observation 191604ba-61e2-48d6-8d2b-13d2e3b777c9 · outbound
Random Variate Generation with Formal Guarantees Also, all intermediate values appearing in both algorithms are representable as(1+𝐸+𝑚)-bit (signed or unsigned) integers.« Proof
Reference 75
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.
Observation 97a795c0-7e07-44e0-ac12-c36680553bd2 · outbound
Random Variate Generation with Formal Guarantees Here, the first inequality is by𝑥,𝑥′∈[ 0, 1 2), and we have the remaining equalities as in the proof of Theorem 5.16
Reference 76
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.
Observation 40e67776-85fc-4f5e-954c-2a885a959559 · outbound
Random Variate Generation with Formal Guarantees 1 1 𝑥+𝑥 ′ 𝑓+𝑓 ′ hi 𝑓′ lo 1−(𝑥+𝑥 ′) = 2𝑚+2−(𝑓+𝑓 ′ hi) 0 if𝑓 ′ lo =0 2𝑚+2−(𝑓+𝑓 ′ hi)−1 2 ˆ𝑒− ˆ𝑒′ −𝑓 ′ lo if𝑓 ′ lo >0 | {z } − ˆ𝑒−2bits | {z } 𝑚+2bits | {z } ˆ𝑒− ˆ𝑒′ bits (E.12) Proc
Reference 77
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.
Observation 78cf9acf-946e-4a9a-978c-99c526436f68 · outbound
Random Variate Generation with Formal Guarantees Unresolved cited work
Reference 78
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.
Observation 3d1d618b-cd0f-433c-be79-184bbbba4edc · outbound
Random Variate Generation with Formal Guarantees Thus, 1−(𝑥+𝑥 ′)=0
Reference 79
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.
Observation 78dd418b-39a3-460f-a75c-af8851141c82 · outbound
Random Variate Generation with Formal Guarantees ACM Program
Reference 80
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.
No inbound Pith citation observations are available.