Pith Number

pith:JJXDP6D6

pith:2010:JJXDP6D6D2ZHMPPFLDV2CQJGDA

not attested not anchored not stored refs pending

Multiple-precision zero-finding methods and the complexity of elementary function evaluation

Richard P. Brent

arxiv:1004.3412 v2 · 2010-04-20 · cs.NA · cs.CC · cs.DS · 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{JJXDP6D6D2ZHMPPFLDV2CQJGDA}

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

Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry

Receipt and verification

First computed	2026-06-03T23:06:35.988756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6e37f87e1eb2763de558eba1412618019e213b779530fd24b994caa885b3a2

Aliases

arxiv: 1004.3412 · arxiv_version: 1004.3412v2 · doi: 10.48550/arxiv.1004.3412 · pith_short_12: JJXDP6D6D2ZH · pith_short_16: JJXDP6D6D2ZHMPPF · pith_short_8: JJXDP6D6

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/JJXDP6D6D2ZHMPPFLDV2CQJGDA \
  | 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: 4a6e37f87e1eb2763de558eba1412618019e213b779530fd24b994caa885b3a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e24130bf4b405455b1679fdfd593bc50bd838d2b10373dca55f8100ccdbc2e",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2010-04-20T11:27:07Z",
    "title_canon_sha256": "4724ac674a906c7446efb5601ab2fcac946e6fe1c2da701b77b0ae8dbab79957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3412",
    "kind": "arxiv",
    "version": 2
  }
}