Pith Number

pith:GDFMKZ3Z

pith:2001:GDFMKZ3ZXVXBMRDIKDOODVEWO7

not attested not anchored not stored refs pending

The anomalous process gamma pi -> pi pi to two loops

Torben Hannah

arxiv:hep-ph/0102213 v1 · 2001-02-16 · 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{GDFMKZ3ZXVXBMRDIKDOODVEWO7}

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	2026-07-04T16:27:14.583729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30cac56779bd6e16446850dce1d49677fd0d6f369c8157d2a5858a1be0862def

Aliases

arxiv: hep-ph/0102213 · arxiv_version: hep-ph/0102213v1 · doi: 10.48550/arxiv.hep-ph/0102213 · pith_short_12: GDFMKZ3ZXVXB · pith_short_16: GDFMKZ3ZXVXBMRDI · pith_short_8: GDFMKZ3Z

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/GDFMKZ3ZXVXBMRDIKDOODVEWO7 \
  | 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: 30cac56779bd6e16446850dce1d49677fd0d6f369c8157d2a5858a1be0862def

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48382b5428c5b49c0740b4ad19a32aa73075e907dd58d58a6eb7500ef3d71b69",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-02-16T22:04:24Z",
    "title_canon_sha256": "76cd6bb8c27d8b70f5cd1730437416ba1dc301ce57f753e209e2d1640427725c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0102213",
    "kind": "arxiv",
    "version": 1
  }
}