Pith Number

pith:5EXDWYVK

pith:2025:5EXDWYVKB4WBXRGKUAE23D2O7N

not attested not anchored not stored refs pending

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

John Gustafson, Laslo Hunhold

arxiv:2504.21197 v1 · 2025-04-29 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EXDWYVKB4WBXRGKUAE23D2O7N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:55:58.751141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e92e3b62aa0f2c1bc4caa009ad8f4efb6e4b4252c3627e239b3a53d1a9bcdcf7

Aliases

arxiv: 2504.21197 · arxiv_version: 2504.21197v1 · doi: 10.48550/arxiv.2504.21197 · pith_short_12: 5EXDWYVKB4WB · pith_short_16: 5EXDWYVKB4WBXRGK · pith_short_8: 5EXDWYVK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5EXDWYVKB4WBXRGKUAE23D2O7N \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e92e3b62aa0f2c1bc4caa009ad8f4efb6e4b4252c3627e239b3a53d1a9bcdcf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac04d4909ef656afd5334e918827559bcbfed52373ae2e93f104f54bad07852f",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-04-29T22:04:16Z",
    "title_canon_sha256": "6a6b83e6edb522ebc96ba181263117e97b31222d68a1709adfacdc3b4e967f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21197",
    "kind": "arxiv",
    "version": 1
  }
}