Pith Number

pith:P4H53F4V

pith:2005:P4H53F4V6EANWNXYKRMJIH2OL4

not attested not anchored not stored refs pending

Two-Loop Electroweak Logarithms

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

arxiv:hep-ph/0504111 v4 · 2005-04-14 · hep-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4H53F4V6EANWNXYKRMJIH2OL4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:36:19.988198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0fdd9795f100db36f85458941f4e5f1ff063c44bc7bf06dcbb65346e378627

Aliases

arxiv: hep-ph/0504111 · arxiv_version: hep-ph/0504111v4 · doi: 10.48550/arxiv.hep-ph/0504111 · pith_short_12: P4H53F4V6EAN · pith_short_16: P4H53F4V6EANWNXY · pith_short_8: P4H53F4V

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/P4H53F4V6EANWNXYKRMJIH2OL4 \
  | 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: 7f0fdd9795f100db36f85458941f4e5f1ff063c44bc7bf06dcbb65346e378627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b8a02e81d3de1e83ebbdfb124ce2b1dcdde846c41248ac97f11e6e91224fe43",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-04-14T12:29:28Z",
    "title_canon_sha256": "7cdceeed5bda6e6d391eaf6b4ac5ef09c2f5fe5187a8e558be49778e681a99f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0504111",
    "kind": "arxiv",
    "version": 4
  }
}