Pith Number

pith:WSC5WXGK

pith:2005:WSC5WXGK3KXOBQ462KZ77RZLNF

not attested not anchored not stored refs pending

Twistor diagram recursion for all gauge-theoretic tree amplitudes

Andrew Hodges

arxiv:hep-th/0503060 v1 · 2005-03-07 · 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{WSC5WXGK3KXOBQ462KZ77RZLNF}

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

Generating Hodges' Graviton MHV Formula with an $Lw_{1+\infty}$ Ward Identity

Receipt and verification

First computed	2026-07-04T14:32:22.572754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b485db5ccadaaee0c39ed2b3ffc72b694d8669b51bb7de030681f3aa922df897

Aliases

arxiv: hep-th/0503060 · arxiv_version: hep-th/0503060v1 · doi: 10.48550/arxiv.hep-th/0503060 · pith_short_12: WSC5WXGK3KXO · pith_short_16: WSC5WXGK3KXOBQ46 · pith_short_8: WSC5WXGK

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/WSC5WXGK3KXOBQ462KZ77RZLNF \
  | 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: b485db5ccadaaee0c39ed2b3ffc72b694d8669b51bb7de030681f3aa922df897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0619164ab1e0718e72fa1541401e2dccc8781c5e560531dc5aaee2c5e5d2f5a4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-03-07T14:27:15Z",
    "title_canon_sha256": "6b12d1c6629c955f17e10aa11b8b0b8feef0475b385a9173998ec09db506ed3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0503060",
    "kind": "arxiv",
    "version": 1
  }
}