Pith Number

pith:QFPM5ORY

pith:2021:QFPM5ORYNP326VAFO737DHDHHX

not attested not anchored not stored refs pending

Three-loop helicity amplitudes for four-quark scattering in massless QCD

Amlan Chakraborty, Andreas von Manteuffel, Fabrizio Caola, Giulio Gambuti, Lorenzo Tancredi

arxiv:2108.00055 v3 · 2021-07-30 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFPM5ORYNP326VAFO737DHDHHX}

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	2026-07-05T09:30:53.768656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

815eceba386bf7af540577f7f19c673df6c2427a7b12a7aef0de2b20db8fa4b7

Aliases

arxiv: 2108.00055 · arxiv_version: 2108.00055v3 · doi: 10.48550/arxiv.2108.00055 · pith_short_12: QFPM5ORYNP32 · pith_short_16: QFPM5ORYNP326VAF · pith_short_8: QFPM5ORY

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/QFPM5ORYNP326VAFO737DHDHHX \
  | 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: 815eceba386bf7af540577f7f19c673df6c2427a7b12a7aef0de2b20db8fa4b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01712b3dc310a5de06dcc73f5fabcdc5c2c04aa4e1b71cd2085573a142cc0240",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-07-30T19:38:40Z",
    "title_canon_sha256": "85e78a8b154bd5abab0e1ad75afc4ab5af15bb4747b8cb67cd16d3147fb30aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.00055",
    "kind": "arxiv",
    "version": 3
  }
}