Pith Number

pith:OLMB24PF

pith:2022:OLMB24PF4O6KSMRUSS5X5IC6WQ

not attested not anchored not stored refs pending

Three-Loop Four-Point Scattering Amplitudes in Massless Gauge Theories

Amlan Chakraborty, Giulio Gambuti

arxiv:2208.08139 v1 · 2022-08-17 · 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{OLMB24PF4O6KSMRUSS5X5IC6WQ}

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	2026-07-05T04:49:24.520362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d81d71e5e3bca9323494bb7ea05eb41ae3c59a1bee08b2f3f1bd18ef88b39b

Aliases

arxiv: 2208.08139 · arxiv_version: 2208.08139v1 · doi: 10.48550/arxiv.2208.08139 · pith_short_12: OLMB24PF4O6K · pith_short_16: OLMB24PF4O6KSMRU · pith_short_8: OLMB24PF

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/OLMB24PF4O6KSMRUSS5X5IC6WQ \
  | 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: 72d81d71e5e3bca9323494bb7ea05eb41ae3c59a1bee08b2f3f1bd18ef88b39b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc73f928d892bf834d8e8a56c9671eeeb7cd2f6b3cea2b3dd959eaf6db93a74",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-08-17T08:15:23Z",
    "title_canon_sha256": "45040d61167b42102060046fa9f4fab66461e712e909ce86e1e7c293be1b6445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.08139",
    "kind": "arxiv",
    "version": 1
  }
}