Pith Number

pith:VRU3ZYD4

pith:2015:VRU3ZYD4XQSXKPPMQHHLI2KTJW

not attested not anchored not stored refs pending

Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion

Alexander V. Smirnov, Fabrizio Caola, Johannes M. Henn, Kirill Melnikov, Vladimir A. Smirnov

arxiv:1503.08759 v2 · 2015-03-30 · 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{VRU3ZYD4XQSXKPPMQHHLI2KTJW}

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	2026-05-18T02:19:50.004999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac69bce07cbc25753dec81ceb469534d8c0ee2c51fc11be285345bb2461ab965

Aliases

arxiv: 1503.08759 · arxiv_version: 1503.08759v2 · doi: 10.48550/arxiv.1503.08759 · pith_short_12: VRU3ZYD4XQSX · pith_short_16: VRU3ZYD4XQSXKPPM · pith_short_8: VRU3ZYD4

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/VRU3ZYD4XQSXKPPMQHHLI2KTJW \
  | 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: ac69bce07cbc25753dec81ceb469534d8c0ee2c51fc11be285345bb2461ab965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f3ee45e0054cab3eb7ba48a39203c5cb4f50407a2507515bd74b0cb99ad7ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-03-30T17:39:11Z",
    "title_canon_sha256": "62935c89dc5a8f588c670714ba5409d6f08ea5d17290ae9fd6b389651a3927b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08759",
    "kind": "arxiv",
    "version": 2
  }
}