Pith Number

pith:PCGWY3JL

pith:2019:PCGWY3JLFIZY6BCYCLW63NDCL4

not attested not anchored not stored refs pending

Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case

Hua Xing Zhu, Ming-Xing Luo, Tong-Zhi Yang, Yu Jiao Zhu

arxiv:1909.13820 v1 · 2019-09-30 · 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{PCGWY3JLFIZY6BCYCLW63NDCL4}

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

3 papers in Pith

The one-point charge correlator in deep inelastic scattering

Energy Correlators Resolving Proton Spin

The N$^3$LO Twist-2 Matching of Linearly Polarized Gluon TMDs

Receipt and verification

First computed	2026-07-05T00:36:38.551184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788d6c6d2b2a338f045812ededb4625f1f6dd1feefecd75b4ef322f071f1e64d

Aliases

arxiv: 1909.13820 · arxiv_version: 1909.13820v1 · doi: 10.48550/arxiv.1909.13820 · pith_short_12: PCGWY3JLFIZY · pith_short_16: PCGWY3JLFIZY6BCY · pith_short_8: PCGWY3JL

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/PCGWY3JLFIZY6BCYCLW63NDCL4 \
  | 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: 788d6c6d2b2a338f045812ededb4625f1f6dd1feefecd75b4ef322f071f1e64d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa65c41babbc81cdbd85f5753838479dacc9f2ff67c6ba8950e751b4c467518",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-09-30T16:18:19Z",
    "title_canon_sha256": "6967dd891ebad4dc5b7ae527f9c4037eebc11c86f5f7ee8a3e05239df4541f6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.13820",
    "kind": "arxiv",
    "version": 1
  }
}