Pith Number

pith:GBFKUW5H

pith:2005:GBFKUW5HU6WL2YZJT4KZEBPO3Q

not attested not anchored not stored refs pending

Process e^+ e^- \to 3\pi (\gamma) with final state radiative corrections

E. A. Kuraev, S. Bakmaev, Yu. M. Bystritskiy

arxiv:hep-ph/0507219 v1 · 2005-07-19 · 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{GBFKUW5HU6WL2YZJT4KZEBPO3Q}

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	2026-05-18T03:24:29.092726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304aaa5ba7a7acbd63299f159205eedc0a475e49c0521c3b858727b5cc6fdc35

Aliases

arxiv: hep-ph/0507219 · arxiv_version: hep-ph/0507219v1 · doi: 10.48550/arxiv.hep-ph/0507219 · pith_short_12: GBFKUW5HU6WL · pith_short_16: GBFKUW5HU6WL2YZJ · pith_short_8: GBFKUW5H

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/GBFKUW5HU6WL2YZJT4KZEBPO3Q \
  | 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: 304aaa5ba7a7acbd63299f159205eedc0a475e49c0521c3b858727b5cc6fdc35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7fb4800fa115bc4e83df432c1a09ca56ab389261d44d6b707b221c3c19c78f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-07-19T07:43:57Z",
    "title_canon_sha256": "acd45f9bd12f38e23db7d6927e6a4f6df3c137dba1989f54fe07e14ebf987fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0507219",
    "kind": "arxiv",
    "version": 1
  }
}