Pith Number

pith:MIVJ7VLA

pith:2006:MIVJ7VLAWLJBBYDE7SKYYOR7L5

not attested not anchored not stored refs pending

Structure of the MHV-rules Lagrangian

James H. Ettle, Tim R. Morris

arxiv:hep-th/0605121 v1 · 2006-05-11 · hep-th · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIVJ7VLAWLJBBYDE7SKYYOR7L5}

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

$N$-Photon Amplitudes in EFT from Recursion Relations and Effective Vertices

Receipt and verification

First computed	2026-07-04T17:01:54.842966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622a9fd560b2d210e064fc958c3a3f5f79d341f327af09b7f7063f486e76e219

Aliases

arxiv: hep-th/0605121 · arxiv_version: hep-th/0605121v1 · doi: 10.48550/arxiv.hep-th/0605121 · pith_short_12: MIVJ7VLAWLJB · pith_short_16: MIVJ7VLAWLJBBYDE · pith_short_8: MIVJ7VLA

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/MIVJ7VLAWLJBBYDE7SKYYOR7L5 \
  | 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: 622a9fd560b2d210e064fc958c3a3f5f79d341f327af09b7f7063f486e76e219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b07bf465165736b63a959a9053734cef702d0be826c15a1130bc968936c282c9",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-05-11T19:56:58Z",
    "title_canon_sha256": "59691577b14283896f117c328194933fc014a74e1c17ddaa2e32d9ec0ff02e2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0605121",
    "kind": "arxiv",
    "version": 1
  }
}