Pith Number

pith:3XTIMCJE

pith:2000:3XTIMCJEZM5LJM7WFLNUFYFMCP

not attested not anchored not stored refs pending

$B \to \pi\pi$ Decay in QCD

Alexander Khodjamirian

arxiv:hep-ph/0012271 v2 · 2000-12-20 · 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{3XTIMCJEZM5LJM7WFLNUFYFMCP}

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.

Cited by

1 paper in Pith

QCD-factorization amplitudes from flavour symmetries: beyond the $SU(3)$ symmetric case

Receipt and verification

First computed	2026-07-04T16:20:35.490863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde6860924cb3ab4b3f62adb42e0ac13ebdbfde205f6286f663d4f47ad75b767

Aliases

arxiv: hep-ph/0012271 · arxiv_version: hep-ph/0012271v2 · doi: 10.48550/arxiv.hep-ph/0012271 · pith_short_12: 3XTIMCJEZM5L · pith_short_16: 3XTIMCJEZM5LJM7W · pith_short_8: 3XTIMCJE

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/3XTIMCJEZM5LJM7WFLNUFYFMCP \
  | 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: dde6860924cb3ab4b3f62adb42e0ac13ebdbfde205f6286f663d4f47ad75b767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "265db8c84544c5acca3dc1eb5a3e14999700d97c46265a7d3fc258ee29e027e1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-12-20T13:43:06Z",
    "title_canon_sha256": "1f10331efcb4599c380ff0f173f2525f735ea5ce223130c68ccb86e96685fe06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0012271",
    "kind": "arxiv",
    "version": 2
  }
}