pith. sign in
Pith Number

pith:TPRBF7WT

pith:1999:TPRBF7WT4K23LQ6NY6UGOBFWFM
not attested not anchored not stored refs pending

b-quark decay in the collinear approximation

Dieter Zeppenfeld

arxiv:hep-ph/9911478 v1 · 1999-11-24 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TPRBF7WT4K23LQ6NY6UGOBFWFM}

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 2026-05-18T04:31:00.393008Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9be212fed3e2b5b5c3cdc7a86704b62b263aa1e8aff6d7e2371f3d8c4e1bb183

Aliases

arxiv: hep-ph/9911478 · arxiv_version: hep-ph/9911478v1 · doi: 10.48550/arxiv.hep-ph/9911478 · pith_short_12: TPRBF7WT4K23 · pith_short_16: TPRBF7WT4K23LQ6N · pith_short_8: TPRBF7WT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TPRBF7WT4K23LQ6NY6UGOBFWFM \
  | 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: 9be212fed3e2b5b5c3cdc7a86704b62b263aa1e8aff6d7e2371f3d8c4e1bb183
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8e331156f5646d2b20961df3237bbeff0f2f5cbba5815c0e937918e0f5527208",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-11-24T23:54:32Z",
    "title_canon_sha256": "f8e6d55a2e69b85aa547db4ce6154f1939635e31b132191efc1ddabc2daa2638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9911478",
    "kind": "arxiv",
    "version": 1
  }
}