pith. sign in
Pith Number

pith:SBLWQW6I

pith:2014:SBLWQW6IUCR3PO5IY6ULL4J7RR
not attested not anchored not stored refs pending

The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case

Amsterdam), A. Vogt (Liverpool U., Dept. Math.), Inst. Theor. Phys. II), J.A.M. Vermaseren (NIKHEF, S. Moch (Hamburg U.

arxiv:1409.5131 v1 · 2014-09-17 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SBLWQW6IUCR3PO5IY6ULL4J7RR}

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

Receipt and verification
First computed 2026-05-18T01:42:01.641337Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9057685bc8a0a3b7bba8c7a8b5f13f8c4db7cbf59074855cb817f96a78f62764

Aliases

arxiv: 1409.5131 · arxiv_version: 1409.5131v1 · doi: 10.48550/arxiv.1409.5131 · pith_short_12: SBLWQW6IUCR3 · pith_short_16: SBLWQW6IUCR3PO5I · pith_short_8: SBLWQW6I
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SBLWQW6IUCR3PO5IY6ULL4J7RR \
  | 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: 9057685bc8a0a3b7bba8c7a8b5f13f8c4db7cbf59074855cb817f96a78f62764
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eb59ed662308b2c4dadec9cd1e6f9df91392a4bf3c1708ca870364d523633b72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-09-17T20:00:23Z",
    "title_canon_sha256": "23cb84c422e8de5a4fadcb66386b02633c85429f9f739396511c83ed1fdf99cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5131",
    "kind": "arxiv",
    "version": 1
  }
}