Pith Number

pith:7KOJ2MDA

pith:2018:7KOJ2MDA7PTBJXHNDWPAVZOCAC

not attested not anchored not stored refs pending

Four-loop splitting functions at small $x$

Marco Bonvini, Simone Marzani

arxiv:1805.06460 v2 · 2018-05-16 · 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{7KOJ2MDA7PTBJXHNDWPAVZOCAC}

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	2026-05-18T00:11:27.929464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9c9d3060fbe614dced1d9e0ae5c200a0bf8bc413588050bed499068ea3ecf9

Aliases

arxiv: 1805.06460 · arxiv_version: 1805.06460v2 · doi: 10.48550/arxiv.1805.06460 · pith_short_12: 7KOJ2MDA7PTB · pith_short_16: 7KOJ2MDA7PTBJXHN · pith_short_8: 7KOJ2MDA

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/7KOJ2MDA7PTBJXHNDWPAVZOCAC \
  | 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: fa9c9d3060fbe614dced1d9e0ae5c200a0bf8bc413588050bed499068ea3ecf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d2b238af2642b066c8b4fa611a3a4a9911f108370f515e3b41d020a19ac93f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-05-16T18:00:02Z",
    "title_canon_sha256": "b593efd86a18deaff23609b92fd9294ff9006e4746c89360d8600f287c335655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06460",
    "kind": "arxiv",
    "version": 2
  }
}