Pith Number

pith:MWQL3CW5

pith:2012:MWQL3CW5DPU3C36ZPBUV3MPIAN

not attested not anchored not stored refs pending

The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory

H. Johansson, J. J. M. Carrasco, R. Roiban, Z. Bern

arxiv:1207.6666 v2 · 2012-07-27 · 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{MWQL3CW5DPU3C36ZPBUV3MPIAN}

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	2026-05-18T02:21:07.917027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a0bd8add1be9b16fd978695db1e8035199bcb3063fd643e2acc4c65bd4078a

Aliases

arxiv: 1207.6666 · arxiv_version: 1207.6666v2 · doi: 10.48550/arxiv.1207.6666 · pith_short_12: MWQL3CW5DPU3 · pith_short_16: MWQL3CW5DPU3C36Z · pith_short_8: MWQL3CW5

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/MWQL3CW5DPU3C36ZPBUV3MPIAN \
  | 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: 65a0bd8add1be9b16fd978695db1e8035199bcb3063fd643e2acc4c65bd4078a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219855d75cee94f2004cad40499efc1dfac35a6d2b1b0d8110fa9d0ed22c3134",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-27T23:19:01Z",
    "title_canon_sha256": "2099778e8d6ddcbfc613990da98a8a73aa57f90136c6a012ff24e509172912bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6666",
    "kind": "arxiv",
    "version": 2
  }
}