Pith Number

pith:TQGW3WCH

pith:2005:TQGW3WCHEML3LU5MKQZB72FJO6

not attested not anchored not stored refs pending

Two-Loop Electroweak Logarithms in Four-Fermion Processes at High Energy

Alexander A. Penin, Bernd Jantzen, Johann H. K\"uhn, Vladimir A. Smirnov

arxiv:hep-ph/0509157 v4 · 2005-09-15 · 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{TQGW3WCHEML3LU5MKQZB72FJO6}

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	2026-05-18T04:37:00.347848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0d6dd8472317b5d3ac54321fe8a977b488266188c02f9a1685a0d3f7d0e54b

Aliases

arxiv: hep-ph/0509157 · arxiv_version: hep-ph/0509157v4 · doi: 10.48550/arxiv.hep-ph/0509157 · pith_short_12: TQGW3WCHEML3 · pith_short_16: TQGW3WCHEML3LU5M · pith_short_8: TQGW3WCH

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/TQGW3WCHEML3LU5MKQZB72FJO6 \
  | 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: 9c0d6dd8472317b5d3ac54321fe8a977b488266188c02f9a1685a0d3f7d0e54b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3eb6f4ea5c9c143adfde49f41c916a8818c38f8c17e72450a252c1bdaccaea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-09-15T12:51:45Z",
    "title_canon_sha256": "16acbc9bd6aed77f1f4b16eccfc35642d75de4afe740e09b51bbc0bdf27c0445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0509157",
    "kind": "arxiv",
    "version": 4
  }
}