Pith Number

pith:SZ23NSP4

pith:2022:SZ23NSP442MDYP7KFB26XT3WAA

not attested not anchored not stored refs pending

Computing elementary functions using multi-prime argument reduction

Fredrik Johansson (LFANT)

arxiv:2207.02501 v1 · 2022-07-06 · math.NA · cs.NA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZ23NSP442MDYP7KFB26XT3WAA}

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

Fast Ramanujan--type Series for Logarithms. Part II

Receipt and verification

First computed	2026-07-05T04:38:04.230030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9675b6c9fce6983c3fea2875ebcf76002123d372b5960e640c01f47ca72e8079

Aliases

arxiv: 2207.02501 · arxiv_version: 2207.02501v1 · doi: 10.48550/arxiv.2207.02501 · pith_short_12: SZ23NSP442MD · pith_short_16: SZ23NSP442MDYP7K · pith_short_8: SZ23NSP4

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/SZ23NSP442MDYP7KFB26XT3WAA \
  | 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: 9675b6c9fce6983c3fea2875ebcf76002123d372b5960e640c01f47ca72e8079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a7eee8ad83ea7f59c3130c357c270750796a44cdecc87db6fd6f2c1dba8dc6f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-07-06T08:11:00Z",
    "title_canon_sha256": "bad107eb8b16837b971539eb73bcd62b9cf3d1d0d6dd3a7f61de4f384a78c8ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.02501",
    "kind": "arxiv",
    "version": 1
  }
}