Paper Citation Record · LEDGER

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics

As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2504.21197.

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

pith.paper-citation-record.v1
2504.21197 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:14:03.520262Z

measured 16 of 16 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T08:58:12.585182Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T09:03:15.978465Z

Reference resolution

15 of 15 outbound references displayed

verified exact7
verified fuzzy0
unresolved5
parse uncertain0
malformed identifier3
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 756545a2-e7c5-43e2-914e-03b6b4a0329f · outbound

This paper cites an unresolved cited work.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:04.106075Z

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 27686715-b737-419d-aa32-584804ec94b5 · outbound

This paper cites an unresolved cited work.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Unresolved cited work

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-16T05:14:03.454676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4cce027-5385-4ca9-91af-7a907a5b45b2 · outbound

This paper cites an unresolved cited work.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:14:04.091298Z

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 5a924c4d-c0fb-4097-97b3-ecdcafc613b2 · outbound

This paper cites Gustafson and Isaac Yonemoto.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Gustafson and Isaac Yonemoto

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T05:14:03.463368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e27f08e-bf5a-4aac-b30d-552520374424 · outbound

This paper cites Gustafson et al.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Gustafson et al

Reference 5

Resolution: verified exact; raw_fallback, observed 2026-08-16T05:14:04.020183Z

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 2b35039b-7323-4a06-b501-f3cc97ade815 · outbound

This paper cites an unresolved cited work.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-16T05:14:03.616930Z

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 ee60ac3c-0247-48ef-98b2-c8628c7cc8ee · outbound

This paper cites an unresolved cited work.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-08-16T05:14:03.602646Z

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 c032aa00-4d7f-40f9-84e4-aa0513bd37e4 · outbound

This paper cites Intel® Advanced Vector Extensions 10.2 Architecture Specification.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Intel® Advanced Vector Extensions 10.2 Architecture Specification

Reference 8

Resolution: malformed identifier; no resolver link, observed 2026-08-16T05:14:03.484444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6afc8d89-22c1-4574-be80-d864edcd36a8 · outbound

This paper cites Gustafson.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Gustafson

Reference 9

Resolution: verified exact; doi, observed 2026-08-16T05:14:03.585161Z

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 7bc23a6b-129c-4e30-9f59-17775636e76b · outbound

This paper cites Del Barrio, and Manuel Prieto-Matias.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Del Barrio, and Manuel Prieto-Matias

Reference 10

Resolution: malformed identifier; raw_fallback, observed 2026-08-16T05:14:03.879356Z

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 273429fa-5dd3-4da9-8dd0-30cceab828a4 · outbound

This paper cites OCP 8-bit Floating Point Specification (OFP8).

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics OCP 8-bit Floating Point Specification (OFP8)

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-16T05:14:03.814375Z

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 9d7b7993-d9eb-4151-b753-d168521c28dd · outbound

This paper cites an unresolved cited work.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T05:14:03.505997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c20a8952-48b4-427e-9af2-3d4e1f8f84d7 · outbound

This paper cites an unresolved cited work.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-08-16T05:14:03.569166Z

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 3cb5256d-b1de-46f9-9e63-409700a72d77 · outbound

This paper cites BFloat16: The secret to high performance on Cloud TPUs.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics BFloat16: The secret to high performance on Cloud TPUs

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T05:14:03.515387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af2d1912-c589-4cb2-9b13-59fcf7ea0447 · outbound

This paper cites Ransom, and Wesley Armour.

Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics Ransom, and Wesley Armour

Reference 15

Resolution: verified exact; doi, observed 2026-08-16T05:14:03.555345Z

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

Observation 83b70754-c774-4762-9e18-d33abd296529 · inbound

Range, Not Precision: Block-Floating-Point Half-Precision FFT and SAR Imaging on Apple Silicon cites this paper.

Range, Not Precision: Block-Floating-Point Half-Precision FFT and SAR Imaging on Apple Silicon Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-06-29T09:03:15.979977Z

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.