Pith Number

pith:FDJML72G

pith:2002:FDJML72GKY4MWFYBKCFPZEPHW6

not attested not anchored not stored refs pending

Subleading shape functions in B -> X_u l \nu and the determination of |Vub|

Christian W. Bauer, Michael Luke, Thomas Mannel

arxiv:hep-ph/0205150 v1 · 2002-05-15 · 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{FDJML72GKY4MWFYBKCFPZEPHW6}

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	2026-05-18T04:30:23.965174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28d2c5ff465638cb1701508afc91e7b7831deb351fa9f3e39d920bd191588608

Aliases

arxiv: hep-ph/0205150 · arxiv_version: hep-ph/0205150v1 · doi: 10.48550/arxiv.hep-ph/0205150 · pith_short_12: FDJML72GKY4M · pith_short_16: FDJML72GKY4MWFYB · pith_short_8: FDJML72G

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/FDJML72GKY4MWFYBKCFPZEPHW6 \
  | 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: 28d2c5ff465638cb1701508afc91e7b7831deb351fa9f3e39d920bd191588608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd419b9c92fead5c8caaa16a77132916b70e2e93c2f3a74802d0b416857565c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-05-15T20:38:03Z",
    "title_canon_sha256": "c35fc590a9b42a6a48c1a53be5bac73b48443e7f26da3fcc7cd4948702129754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0205150",
    "kind": "arxiv",
    "version": 1
  }
}