Pith Number

pith:5PTJMEQY

pith:2010:5PTJMEQYUXLF6UIP34DFVHAG4G

not attested not anchored not stored refs pending

Evolution equation for the B-meson distribution amplitude in the heavy-quark effective theory in coordinate space

(2) Juntendo Univ.), Hiroyuki Kawamura (1), Kazuhiro Tanaka (2) ((1) Univ. of Liverpool

arxiv:1002.1177 v2 · 2010-02-05 · 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{5PTJMEQYUXLF6UIP34DFVHAG4G}

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	2026-05-18T02:33:48.638742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe6961218a5d65f510fdf065a9c06e1a44144906acca0e273e119a00cb1e03f

Aliases

arxiv: 1002.1177 · arxiv_version: 1002.1177v2 · doi: 10.48550/arxiv.1002.1177 · pith_short_12: 5PTJMEQYUXLF · pith_short_16: 5PTJMEQYUXLF6UIP · pith_short_8: 5PTJMEQY

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/5PTJMEQYUXLF6UIP34DFVHAG4G \
  | 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: ebe6961218a5d65f510fdf065a9c06e1a44144906acca0e273e119a00cb1e03f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5784938c8890e20c58836848ed4de5ebe07e3b83a1ec29e8d13a23ba4013ade7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-02-05T10:43:36Z",
    "title_canon_sha256": "82c49551ef72936cbc2d1d404b8751001272e5f500e38e6a9977196a8e0f666c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1177",
    "kind": "arxiv",
    "version": 2
  }
}