Pith Number

pith:2Z6NN2PJ

pith:2005:2Z6NN2PJGXPO3ED3WAUZPLFZQ3

not attested not anchored not stored refs pending

Scaling of Dirac Fermions and the WKB approximation

John Tjon, J. W. Van Orden, Sabine Jeschonnek

arxiv:hep-ph/0507254 v1 · 2005-07-21 · 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{2Z6NN2PJGXPO3ED3WAUZPLFZQ3}

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	2026-05-18T02:36:19.564093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67cd6e9e935deed907bb02997acb986e37f0c93d8dc20199db630ceefca7000

Aliases

arxiv: hep-ph/0507254 · arxiv_version: hep-ph/0507254v1 · doi: 10.48550/arxiv.hep-ph/0507254 · pith_short_12: 2Z6NN2PJGXPO · pith_short_16: 2Z6NN2PJGXPO3ED3 · pith_short_8: 2Z6NN2PJ

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/2Z6NN2PJGXPO3ED3WAUZPLFZQ3 \
  | 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: d67cd6e9e935deed907bb02997acb986e37f0c93d8dc20199db630ceefca7000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "809696e51ca9f57daab53525385a7d99230c1d4e55ce44c00e01916df032ac30",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-07-21T13:42:11Z",
    "title_canon_sha256": "27fd53e84308d8aab865e530055a286c3c3019e1b644f79e784f136b7ca7ec95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0507254",
    "kind": "arxiv",
    "version": 1
  }
}