Pith Number

pith:DNZVUK7O

pith:2005:DNZVUK7O6ZKDBVVV3XDXVDZMU7

not attested not anchored not stored refs pending

Generalizing the DGLAP Evolution of Fragmentation Functions to the Smallest x Values

B. A. Kniehl, G. Kramer, S. Albino, W. Ochs

arxiv:hep-ph/0503170 v1 · 2005-03-17 · 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{DNZVUK7O6ZKDBVVV3XDXVDZMU7}

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	2026-05-18T01:39:05.173397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b735a2beef65430d6b5ddc77a8f2ca7ded5c1dced4d560a6940792fc4ce2d66

Aliases

arxiv: hep-ph/0503170 · arxiv_version: hep-ph/0503170v1 · doi: 10.48550/arxiv.hep-ph/0503170 · pith_short_12: DNZVUK7O6ZKD · pith_short_16: DNZVUK7O6ZKDBVVV · pith_short_8: DNZVUK7O

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/DNZVUK7O6ZKDBVVV3XDXVDZMU7 \
  | 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: 1b735a2beef65430d6b5ddc77a8f2ca7ded5c1dced4d560a6940792fc4ce2d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40ba193b32c669b3b30f2d5ec7b75dffc272f929bf920595125b6e0f8a9961af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-03-17T15:31:46Z",
    "title_canon_sha256": "f7ef15224819eedb12f2121e37111901c861860de1597222080708f311033973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0503170",
    "kind": "arxiv",
    "version": 1
  }
}