Pith Number

pith:FAPIHGK7

pith:2016:FAPIHGK7RU6OPOUH3D2LTPLY2D

not attested not anchored not stored refs pending

The Fourier expansion approximation for high-accuracy computation of the Voigt/complex error function at small imaginary argument

B. M. Quine, S. M. Abrarov

arxiv:1606.07871 v1 · 2016-06-25 · 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{FAPIHGK7RU6OPOUH3D2LTPLY2D}

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	2026-05-18T01:11:42.248072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

281e83995f8d3ce7ba87d8f4b9bd78d0c00ed61feba5bb6b685ab2ef00d4f978

Aliases

arxiv: 1606.07871 · arxiv_version: 1606.07871v1 · doi: 10.48550/arxiv.1606.07871 · pith_short_12: FAPIHGK7RU6O · pith_short_16: FAPIHGK7RU6OPOUH · pith_short_8: FAPIHGK7

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/FAPIHGK7RU6OPOUH3D2LTPLY2D \
  | 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: 281e83995f8d3ce7ba87d8f4b9bd78d0c00ed61feba5bb6b685ab2ef00d4f978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4287cfb71e7e300d44040de1a973fecf393cb733a8dce854ea8b8281d2f18021",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-06-25T05:17:11Z",
    "title_canon_sha256": "1f6ea6c822b4593a842112414f4bcdd75e40400c63afa7bb7a121741e09d25f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07871",
    "kind": "arxiv",
    "version": 1
  }
}