Pith Number

pith:INFOA2FA

pith:2016:INFOA2FAY7TXJLELUUMN522A44

not attested not anchored not stored refs pending

A new approach for solving nonlinear Thomas-Fermi equation based on fractional order of rational Bessel functions

A. Ghaderi, H. Yousefi, K. Parand, M. Delkhosh

arxiv:1606.07615 v1 · 2016-06-24 · math.NA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INFOA2FAY7TXJLELUUMN522A44}

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	2026-05-18T00:50:09.638148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

434ae068a0c7e774ac8ba518deeb40e71604ac53382f58004bb84043cd06c917

Aliases

arxiv: 1606.07615 · arxiv_version: 1606.07615v1 · doi: 10.48550/arxiv.1606.07615 · pith_short_12: INFOA2FAY7TX · pith_short_16: INFOA2FAY7TXJLEL · pith_short_8: INFOA2FA

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/INFOA2FAY7TXJLELUUMN522A44 \
  | 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: 434ae068a0c7e774ac8ba518deeb40e71604ac53382f58004bb84043cd06c917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9a4270dac0bee0fbdc7ba0d7d9b4529de815b7af01da692333f3d004fc7a96",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-06-24T09:25:24Z",
    "title_canon_sha256": "7df919d706eef6cb80f06014be4ed0953893de70ccd85bc2ded695fa0dc4a072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07615",
    "kind": "arxiv",
    "version": 1
  }
}