pith. sign in
Pith Number

pith:5DJNN44I

pith:2013:5DJNN44INIWXGLJ422KQXB7MON
not attested not anchored not stored refs pending

Treatment of the infrared contribution: NLO QED evolution as a pedagogic example

A.D. Martin, E.G. de Oliveira, M.G. Ryskin

arxiv:1305.6406 v2 · 2013-05-28 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5DJNN44INIWXGLJ422KQXB7MON}

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 2026-05-18T01:49:40.892157Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e8d2d6f3886a2d732d3cd6950b87ec736065a51bb2673262df9db9afc79050f3

Aliases

arxiv: 1305.6406 · arxiv_version: 1305.6406v2 · doi: 10.48550/arxiv.1305.6406 · pith_short_12: 5DJNN44INIWX · pith_short_16: 5DJNN44INIWXGLJ4 · pith_short_8: 5DJNN44I
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5DJNN44INIWXGLJ422KQXB7MON \
  | 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: e8d2d6f3886a2d732d3cd6950b87ec736065a51bb2673262df9db9afc79050f3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "455ba94c071e6f610c31fee7de58df489133a0f931cc9a8d9cfccb766437b0ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-05-28T08:29:06Z",
    "title_canon_sha256": "a57e9eef79c3a3a0f9949afcfcdafbe9f7017b8dc9a88ee4e7ef0f68fd132ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6406",
    "kind": "arxiv",
    "version": 2
  }
}