Pith Number

pith:PQIPHNTN

pith:2008:PQIPHNTNWAGKFI3K3QUVAGUX74

not attested not anchored not stored refs pending

Rapidity divergences and valid definitions of parton densities

John Collins

arxiv:0808.2665 v2 · 2008-08-19 · 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{PQIPHNTNWAGKFI3K3QUVAGUX74}

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

1 paper in Pith

One-loop renormalization of quark TMD in the light-cone gauge: CSS evolution

Receipt and verification

First computed	2026-07-04T15:38:07.859619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c10f3b66db00ca2a36adc29501a97ff24a56415c1a486fe8756c033deb77851

Aliases

arxiv: 0808.2665 · arxiv_version: 0808.2665v2 · doi: 10.48550/arxiv.0808.2665 · pith_short_12: PQIPHNTNWAGK · pith_short_16: PQIPHNTNWAGKFI3K · pith_short_8: PQIPHNTN

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/PQIPHNTNWAGKFI3K3QUVAGUX74 \
  | 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: 7c10f3b66db00ca2a36adc29501a97ff24a56415c1a486fe8756c033deb77851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42bad26be3f349172eee3025fb444a3d686b1c6ed0179cda7a2ad484ba60fa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-08-19T22:07:43Z",
    "title_canon_sha256": "5a66bd91e3437f49d18ce7a396e29defd52bc92083e4387516d77d36e3c2f6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2665",
    "kind": "arxiv",
    "version": 2
  }
}