Pith Number

pith:YPXQR4UV

pith:2025:YPXQR4UVMV2RDRVNFJLPURT4ZV

not attested not anchored not stored refs pending

Factorization Formula Connecting the Shape Functions of Heavy Meson in QCD and Heavy Quark Effective Theory

Ji Xu, Qi-An Zhang, Shuai Zhao, Wei Wang

arxiv:2504.18018 v2 · 2025-04-25 · 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{YPXQR4UVMV2RDRVNFJLPURT4ZV}

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	2026-07-05T10:55:35.128488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ef08f295657511c6ad2a56fa467ccd699c85af0ebfe4b86b96d0fdb418f2c1

Aliases

arxiv: 2504.18018 · arxiv_version: 2504.18018v2 · doi: 10.48550/arxiv.2504.18018 · pith_short_12: YPXQR4UVMV2R · pith_short_16: YPXQR4UVMV2RDRVN · pith_short_8: YPXQR4UV

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/YPXQR4UVMV2RDRVNFJLPURT4ZV \
  | 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: c3ef08f295657511c6ad2a56fa467ccd699c85af0ebfe4b86b96d0fdb418f2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc2cc237d1b39743782adf29073670058a29ca47d0d6cd113c044571f7be16b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-04-25T02:06:09Z",
    "title_canon_sha256": "5c5992d6a179bf28661336b21674e195687fef0490c998c6a88a37db00bd1b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18018",
    "kind": "arxiv",
    "version": 2
  }
}