Paper Citation Record · LEDGER

On Stochastic Rounding with Few Random Bits

As of 20 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2504.20634.

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

pith.paper-citation-record.v1
2504.20634 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:36:11.715272Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

14 of 14 outbound references displayed

verified exact1
verified fuzzy11
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 88d9b2ed-17b1-49c7-896d-8862786e39b2 · outbound

This paper cites Dynamic point stochastic rounding algorithm for limited precision arithmetic in deep belief network training,.

On Stochastic Rounding with Few Random Bits Dynamic point stochastic rounding algorithm for limited precision arithmetic in deep belief network training,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.956139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3c341977-195c-4989-8e1a-7882fbac0a1e · outbound

This paper cites 8-bit Numerical Formats for Deep Neural Networks.

On Stochastic Rounding with Few Random Bits 8-bit Numerical Formats for Deep Neural Networks

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T05:36:11.660412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35d8c057-f28e-4cab-99ad-9fddbbb4353d · outbound

This paper cites Climate modeling in low precision: Effects of both deterministic and stochastic rounding,.

On Stochastic Rounding with Few Random Bits Climate modeling in low precision: Effects of both deterministic and stochastic rounding,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.942149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d87e8ed8-03e1-45c3-abb9-e803b23fa7bc · outbound

This paper cites Fast: DNN training under variable precision block floating point with stochastic rounding,.

On Stochastic Rounding with Few Random Bits Fast: DNN training under variable precision block floating point with stochastic rounding,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.927102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ae33ad5a-2ab5-4b93-a3ca-912755ee6164 · outbound

This paper cites Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision,.

On Stochastic Rounding with Few Random Bits Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.912182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 19670d27-7807-4519-8ade-5bc2fb4ba589 · outbound

This paper cites Stochastic rounding: implementation, error analysis and applications,.

On Stochastic Rounding with Few Random Bits Stochastic rounding: implementation, error analysis and applications,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.897031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ab5130ef-f5b4-4f16-9ea2-e1452e34156c · outbound

This paper cites Stochastic rounding variance and probabilistic bounds: A new approach,.

On Stochastic Rounding with Few Random Bits Stochastic rounding variance and probabilistic bounds: A new approach,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.882107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4a11f3af-c243-4295-b2f9-08222ccc6b76 · outbound

This paper cites Probabilistic error analysis of limited-precision stochastic rounding.

On Stochastic Rounding with Few Random Bits Probabilistic error analysis of limited-precision stochastic rounding

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:36:11.770145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5feb34c5-9684-45a5-ab2f-78fbb0fd5adb · outbound

This paper cites Improved stochastic rounding.

On Stochastic Rounding with Few Random Bits Improved stochastic rounding

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T05:36:11.693389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d7e6af0-5544-4dcb-b719-f5d576bc86e3 · outbound

This paper cites You already have it: A generator-free low- precision DNN training framework using stochastic rounding,.

On Stochastic Rounding with Few Random Bits You already have it: A generator-free low- precision DNN training framework using stochastic rounding,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.863706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2c18d076-002a-4b9a-bb65-c9f09d8cf0d1 · outbound

This paper cites Quantization-aware training for large language models with PyTorch,.

On Stochastic Rounding with Few Random Bits Quantization-aware training for large language models with PyTorch,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.848149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ee179818-a968-4f81-b96b-3d74a95c95eb · outbound

This paper cites NanoGPT,.

On Stochastic Rounding with Few Random Bits NanoGPT,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.832334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b31c9037-b93e-45d8-829b-f9cdcd98f325 · outbound

This paper cites GFloat: Generic floating point formats in Python,.

On Stochastic Rounding with Few Random Bits GFloat: Generic floating point formats in Python,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.817074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cf0c0907-d982-4776-a572-a0e84b582ab9 · outbound

This paper cites Interim report on binary floating-point formats for machine learning,.

On Stochastic Rounding with Few Random Bits Interim report on binary floating-point formats for machine learning,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:36:11.801965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.