Pith Number

pith:LQ4GW6Z6

pith:2010:LQ4GW6Z6L244GFMFBAWW4JM6FY

not attested not anchored not stored refs pending

The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory

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

arxiv:1008.3327 v1 · 2010-08-19 · 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{LQ4GW6Z6L244GFMFBAWW4JM6FY}

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.

Cited by

1 paper in Pith

Weyl double copy in Lifshitz spacetimes

Receipt and verification

First computed	2026-05-18T04:27:35.790490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c386b7b3e5eb9c31585082d6e259e2e2c9385be42a78221997c4d81198c1634

Aliases

arxiv: 1008.3327 · arxiv_version: 1008.3327v1 · doi: 10.48550/arxiv.1008.3327 · pith_short_12: LQ4GW6Z6L244 · pith_short_16: LQ4GW6Z6L244GFMF · pith_short_8: LQ4GW6Z6

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/LQ4GW6Z6L244GFMFBAWW4JM6FY \
  | 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: 5c386b7b3e5eb9c31585082d6e259e2e2c9385be42a78221997c4d81198c1634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59099d712732cc04a11b1b69914f96cf575cb4b6ee23e22eeb9efe936b43bc14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-08-19T15:40:05Z",
    "title_canon_sha256": "f6b83a690a923785ab1a3df7a8c3cc701da04fca7f34e4384fe4069320a4aaf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3327",
    "kind": "arxiv",
    "version": 1
  }
}