Pith Number

pith:IR4IBBAH

pith:2021:IR4IBBAHAURSN4J6XQXTPZ5S6S

not attested not anchored not stored refs pending

On the Majorana solution to the Thomas-Fermi equation

Francisco M. Fern\'andez, Javier Garcia

arxiv:2105.02686 v1 · 2021-05-05 · math.NA · cs.NA · math.CA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IR4IBBAHAURSN4J6XQXTPZ5S6S}

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	2026-07-05T09:19:21.753888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4478808407052326f13ebc2f37e7b2f492957d41d2c5ad511b72f17ebcfc2102

Aliases

arxiv: 2105.02686 · arxiv_version: 2105.02686v1 · doi: 10.48550/arxiv.2105.02686 · pith_short_12: IR4IBBAHAURS · pith_short_16: IR4IBBAHAURSN4J6 · pith_short_8: IR4IBBAH

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/IR4IBBAHAURSN4J6XQXTPZ5S6S \
  | 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: 4478808407052326f13ebc2f37e7b2f492957d41d2c5ad511b72f17ebcfc2102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10add7d0241fa261c143aa95894f50a044f948cda2e9cc194bb2a260e334a7a3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-05-05T13:41:26Z",
    "title_canon_sha256": "611a60d9d3ccae62101e11ca7790b1d7f995bcce95f9c9e4bfb29982864622ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.02686",
    "kind": "arxiv",
    "version": 1
  }
}