Pith Number

pith:WLEONQZC

pith:2005:WLEONQZCMP5LBMFGNDXWJMAJO5

not attested not anchored not stored refs pending

Analytical solution of the Thomas-Fermi equation for atoms

M. Oulne

arxiv:physics/0511017 v2 · 2005-11-02 · physics.atom-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{WLEONQZCMP5LBMFGNDXWJMAJO5}

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	2026-05-18T04:22:10.389816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2c8e6c32263fab0b0a668ef64b00977691b6f213e56c646d9e49f7b278d1291

Aliases

arxiv: physics/0511017 · arxiv_version: physics/0511017v2 · doi: 10.48550/arxiv.physics/0511017 · pith_short_12: WLEONQZCMP5L · pith_short_16: WLEONQZCMP5LBMFG · pith_short_8: WLEONQZC

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/WLEONQZCMP5LBMFGNDXWJMAJO5 \
  | 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: b2c8e6c32263fab0b0a668ef64b00977691b6f213e56c646d9e49f7b278d1291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d41896b2c0f1ce26fc83b641e260d990dda3f846fa7aa2d67c521c46dc5043",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2005-11-02T13:36:56Z",
    "title_canon_sha256": "c7de54bfb3d1eb3e6767d6c955a02681da888ce236978c0789982b482fcc3310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0511017",
    "kind": "arxiv",
    "version": 2
  }
}