Pith Number

pith:4TKQHVOP

pith:2016:4TKQHVOPYQP5SDTMW6TZI7FDV5

not attested not anchored not stored refs pending

A rational approximation of the Dawson's integral for efficient computation of the complex error function

B. M. Quine, S. M. Abrarov

arxiv:1601.01261 v3 · 2016-01-03 · 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{4TKQHVOPYQP5SDTMW6TZI7FDV5}

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	2026-05-18T00:29:47.146857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d503d5cfc41fd90e6cb7a7947ca3af491c1e426423b72837e317e912c18a5b

Aliases

arxiv: 1601.01261 · arxiv_version: 1601.01261v3 · doi: 10.48550/arxiv.1601.01261 · pith_short_12: 4TKQHVOPYQP5 · pith_short_16: 4TKQHVOPYQP5SDTM · pith_short_8: 4TKQHVOP

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/4TKQHVOPYQP5SDTMW6TZI7FDV5 \
  | 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: e4d503d5cfc41fd90e6cb7a7947ca3af491c1e426423b72837e317e912c18a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a67c99259cdf908c984065a1a5b43d58217658824a693346f19e46d0617085f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-01-03T18:45:34Z",
    "title_canon_sha256": "4aae31efd89c8268cc1cc07a2d4e814942881978d905be8c88074d36f7150fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01261",
    "kind": "arxiv",
    "version": 3
  }
}