Pith Number

pith:QX64VN76

pith:2013:QX64VN76Q3D25O3RTROM7CLBQO

not attested not anchored not stored refs pending

A rapid and highly accurate approximation for the error function of complex argument

B. M. Quine, S. M. Abrarov

arxiv:1308.3399 v1 · 2013-08-14 · math.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{QX64VN76Q3D25O3RTROM7CLBQO}

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.

Receipt and verification

First computed	2026-05-18T03:15:54.732209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85fdcab7fe86c7aebb719c5ccf896183b36705b8279593f4d8891259ae97a068

Aliases

arxiv: 1308.3399 · arxiv_version: 1308.3399v1 · doi: 10.48550/arxiv.1308.3399 · pith_short_12: QX64VN76Q3D2 · pith_short_16: QX64VN76Q3D25O3R · pith_short_8: QX64VN76

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/QX64VN76Q3D25O3RTROM7CLBQO \
  | 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: 85fdcab7fe86c7aebb719c5ccf896183b36705b8279593f4d8891259ae97a068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d93fbd765c8f384ba5975f249061e5eccb083af89faddd2f22bc70e21d085b34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-08-14T04:41:28Z",
    "title_canon_sha256": "b86de05083d16ecf6b18d9089131750ebc6f48fb8773eb63d73f563f9e748dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3399",
    "kind": "arxiv",
    "version": 1
  }
}