Pith Number

pith:E65IJUWR

pith:2004:E65IJUWRCYXJM3FT2HD3K543ID

not attested not anchored not stored refs pending

MHV Vertices And Tree Amplitudes In Gauge Theory

Edward Witten, Freddy Cachazo, Peter Svrcek

arxiv:hep-th/0403047 v2 · 2004-03-03 · 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{E65IJUWRCYXJM3FT2HD3K543ID}

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

4 papers in Pith

QFT in Klein space

Learning to Unscramble: Simplifying Symbolic Expressions via Self-Supervised Oracle Trajectories

Towards a Carrollian Description of Yang-Mills

Consistent Scattering Amplitudes, Yang-Mills, the Higgs Mechanism and the EFTs Beyond

Receipt and verification

First computed	2026-07-04T17:25:46.193270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27ba84d2d1162e966cb3d1c7b5779b40cd453e1dd5e99d973f51879880a97c7f

Aliases

arxiv: hep-th/0403047 · arxiv_version: hep-th/0403047v2 · doi: 10.48550/arxiv.hep-th/0403047 · pith_short_12: E65IJUWRCYXJ · pith_short_16: E65IJUWRCYXJM3FT · pith_short_8: E65IJUWR

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/E65IJUWRCYXJM3FT2HD3K543ID \
  | 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: 27ba84d2d1162e966cb3d1c7b5779b40cd453e1dd5e99d973f51879880a97c7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc756c7499fcc90ec2cabe7b0861787e3f8382470412eae513bb63b3e6e56ea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-03-03T19:45:28Z",
    "title_canon_sha256": "1f60b9c5d7c4dc0073538db37d25b341845a394aa169fa705a1c769f5fe627f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0403047",
    "kind": "arxiv",
    "version": 2
  }
}