Pith Number

pith:HWZ45RVZ

pith:2015:HWZ45RVZXX3MM3MGRRJRTRJLXH

not attested not anchored not stored refs pending

On the physical DGLAP evolution of structure functions and its dependence on the renormalization scale

M. Hentschinski

arxiv:1507.04427 v1 · 2015-07-16 · 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{HWZ45RVZXX3MM3MGRRJRTRJLXH}

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	2026-05-18T01:36:47.412557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3db3cec6b9bdf6c66d868c5319c52bb9d8ae44e10b1926c68f3e757ba0edee62

Aliases

arxiv: 1507.04427 · arxiv_version: 1507.04427v1 · doi: 10.48550/arxiv.1507.04427 · pith_short_12: HWZ45RVZXX3M · pith_short_16: HWZ45RVZXX3MM3MG · pith_short_8: HWZ45RVZ

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/HWZ45RVZXX3MM3MGRRJRTRJLXH \
  | 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: 3db3cec6b9bdf6c66d868c5319c52bb9d8ae44e10b1926c68f3e757ba0edee62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b4d938a78ff99741448d3fb28171d594766dadcb502bafdd3aa2283e68505cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-07-16T01:15:17Z",
    "title_canon_sha256": "2bdcb8c831bb79c299300a50d39d598f39e7652bc692d7caaf3eb27c83056f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04427",
    "kind": "arxiv",
    "version": 1
  }
}