Pith Number

pith:3QZJTE75

pith:2004:3QZJTE75Q5BKDX4K6OU4BPPOPF

not attested not anchored not stored refs pending

Steps towards full two-loop calculations for 2 fermion to 2 fermion processes: running versus pole masses schemes

F.Jegerlehner, M.Yu.Kalmykov

arxiv:hep-ph/0404213 v1 · 2004-04-23 · 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{3QZJTE75Q5BKDX4K6OU4BPPOPF}

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	2026-07-04T14:29:00.400578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc329993fd8742a1df8af3a9c0bdee795c155a24293a816f8df8faaaa4d87a77

Aliases

arxiv: hep-ph/0404213 · arxiv_version: hep-ph/0404213v1 · doi: 10.48550/arxiv.hep-ph/0404213 · pith_short_12: 3QZJTE75Q5BK · pith_short_16: 3QZJTE75Q5BKDX4K · pith_short_8: 3QZJTE75

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/3QZJTE75Q5BKDX4K6OU4BPPOPF \
  | 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: dc329993fd8742a1df8af3a9c0bdee795c155a24293a816f8df8faaaa4d87a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9071a9f97485438171401bdd20ef4b9f775f787c7d662d3ae88960c1c21cdd4b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-04-23T18:20:40Z",
    "title_canon_sha256": "589e137c7d37a48469ab7c350ceb8bbb5448ee2657e2ce4aaeae0e3af686c086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0404213",
    "kind": "arxiv",
    "version": 1
  }
}