Pith Number

pith:YFW23AZ7

pith:2012:YFW23AZ7MMEGR6PQ2OQB2TBUOM

not attested not anchored not stored refs pending

On the number of electrons that a nucleus can bind

Phan Th\`anh Nam

arxiv:1209.3642 v2 · 2012-09-17 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFW23AZ7MMEGR6PQ2OQB2TBUOM}

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	2026-05-18T03:38:57.339603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c16dad833f630868f9f0d3a01d4c34733a0502a125b206d8d142a9b1fe97ad45

Aliases

arxiv: 1209.3642 · arxiv_version: 1209.3642v2 · doi: 10.48550/arxiv.1209.3642 · pith_short_12: YFW23AZ7MMEG · pith_short_16: YFW23AZ7MMEGR6PQ · pith_short_8: YFW23AZ7

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/YFW23AZ7MMEGR6PQ2OQB2TBUOM \
  | 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: c16dad833f630868f9f0d3a01d4c34733a0502a125b206d8d142a9b1fe97ad45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf8af8ae9870105fdf29f1a11a649629d9474bcb8d184930b17ea3f9f0008449",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-17T13:03:17Z",
    "title_canon_sha256": "6a05806a4461d14eb7c7b5b6d5be836009f048f05d73e7c1a292280bcff18c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3642",
    "kind": "arxiv",
    "version": 2
  }
}