Pith Number

pith:UUVVHTWT

pith:2004:UUVVHTWT3XELOHTZQ44VRRHQWL

not attested not anchored not stored refs pending

Two-Loop Sudakov Form Factor in a Theory with Mass Gap

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

arxiv:hep-ph/0404082 v2 · 2004-04-08 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUVVHTWT3XELOHTZQ44VRRHQWL}

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	2026-05-18T04:17:44.680705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52b53ced3ddc8b71e79873958c4f0b2cf7b7fae4e42bee6051888cfc5b398e5

Aliases

arxiv: hep-ph/0404082 · arxiv_version: hep-ph/0404082v2 · doi: 10.48550/arxiv.hep-ph/0404082 · pith_short_12: UUVVHTWT3XEL · pith_short_16: UUVVHTWT3XELOHTZ · pith_short_8: UUVVHTWT

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/UUVVHTWT3XELOHTZQ44VRRHQWL \
  | 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: a52b53ced3ddc8b71e79873958c4f0b2cf7b7fae4e42bee6051888cfc5b398e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d7283cae6099c190d9fdd5efb2eae5d9c0d2c525507d2a42ccb15220759162",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-04-08T14:50:37Z",
    "title_canon_sha256": "6fd825e90cd9cf7fedadf44fa5857be722192bf7cc679f593af85907a6e41294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0404082",
    "kind": "arxiv",
    "version": 2
  }
}