Pith Number

pith:3DPKZ2VM

pith:2004:3DPKZ2VMTEEVXK4B7VOP56BMAX

not attested not anchored not stored refs pending

Coplanarity In Twistor Space Of N=4 Next-To-MHV One-Loop Amplitude Coefficients

Bo Feng, Freddy Cachazo, Ruth Britto

arxiv:hep-th/0411107 v1 · 2004-11-10 · 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{3DPKZ2VMTEEVXK4B7VOP56BMAX}

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	2026-07-04T16:49:05.277115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8deaceaac99095bab81fd5cfef82c05cc1f233991b6e2c7f2aa41455cb53d25

Aliases

arxiv: hep-th/0411107 · arxiv_version: hep-th/0411107v1 · doi: 10.48550/arxiv.hep-th/0411107 · pith_short_12: 3DPKZ2VMTEEV · pith_short_16: 3DPKZ2VMTEEVXK4B · pith_short_8: 3DPKZ2VM

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/3DPKZ2VMTEEVXK4B7VOP56BMAX \
  | 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: d8deaceaac99095bab81fd5cfef82c05cc1f233991b6e2c7f2aa41455cb53d25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c50715bae7aafb6272ae267639d72a3bb640f365f14c0e74fd793a3bb868509",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-11-10T20:34:58Z",
    "title_canon_sha256": "746cc187b5bf67d12aefa167af7f2dbf9062a6b4fb6f4d22fb1f911c7d57b0e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0411107",
    "kind": "arxiv",
    "version": 1
  }
}