Pith Number

pith:Y7R2EF7F

pith:2019:Y7R2EF7FGQIGSZHECUMEZNGDAX

not attested not anchored not stored refs pending

Remark on Algorithm 680: evaluation of the complex error function: Cause and Remedy for the Loss of Accuracy Near the Real Axis

Mofreh Zaghloul

arxiv:1906.12199 v1 · 2019-06-27 · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7R2EF7FGQIGSZHECUMEZNGDAX}

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	2026-05-17T23:41:59.020281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7e3a217e534106964e415184cb4c305ed343ea08987cd18d57d1d383b0593ed

Aliases

arxiv: 1906.12199 · arxiv_version: 1906.12199v1 · doi: 10.48550/arxiv.1906.12199 · pith_short_12: Y7R2EF7FGQIG · pith_short_16: Y7R2EF7FGQIGSZHE · pith_short_8: Y7R2EF7F

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/Y7R2EF7FGQIGSZHECUMEZNGDAX \
  | 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: c7e3a217e534106964e415184cb4c305ed343ea08987cd18d57d1d383b0593ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cdb4c5922521dd837b6ddb800780ea565902c5f211913f38d2628bb37868bea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2019-06-27T11:56:05Z",
    "title_canon_sha256": "a11c0f4e727f0721ad8554a93f6a6ea9f6a39b68b8326bbf0cced69a3af755d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12199",
    "kind": "arxiv",
    "version": 1
  }
}