Pith Number

pith:YYF4LAFB

pith:2010:YYF4LAFBDALAOSX7VLUJEGRNW7

not attested not anchored not stored refs pending

Gauge invariant hydrogen atom Hamiltonian

Fan Wang, Wei-Min Sun, Xiang-Song Chen, Xiao-Fu Lu

arxiv:1002.3421 v3 · 2010-02-18 · hep-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{YYF4LAFBDALAOSX7VLUJEGRNW7}

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	2026-05-18T02:08:59.858914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c60bc580a11816074affaae8921a2db7f27f3ecda882aeca2fafd93dd1211710

Aliases

arxiv: 1002.3421 · arxiv_version: 1002.3421v3 · doi: 10.48550/arxiv.1002.3421 · pith_short_12: YYF4LAFBDALA · pith_short_16: YYF4LAFBDALAOSX7 · pith_short_8: YYF4LAFB

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/YYF4LAFBDALAOSX7VLUJEGRNW7 \
  | 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: c60bc580a11816074affaae8921a2db7f27f3ecda882aeca2fafd93dd1211710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "576d2306e61f8fd5f900481b95a5f61f015e0bcc586672ad91115775a3bc0a3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-02-18T02:15:46Z",
    "title_canon_sha256": "8f75dff68c98e84076bf4d9f0c483f7f3409db88da2a81c203fb4d1d46f144d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3421",
    "kind": "arxiv",
    "version": 3
  }
}