Pith Number

pith:75MICVJM

pith:2009:75MICVJMFXRT4E6YJEKVSL7PTR

not attested not anchored not stored refs pending

The Tree Formula for MHV Graviton Amplitudes

Anastasia Volovich, Congkao Wen, Dung Nguyen, Marcus Spradlin

arxiv:0907.2276 v2 · 2009-07-14 · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75MICVJMFXRT4E6YJEKVSL7PTR}

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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

12 papers in Pith

Tree level amplitudes from soft theorems

Tree and $1$-loop fundamental BCJ relations from soft theorems

Note on tree NLSM amplitudes and soft theorems

New recursive construction for tree NLSM and SG amplitudes, and new understanding of enhanced Adler zero

Recursive construction for expansions of tree Yang-Mills amplitudes from soft theorem

Receipt and verification

First computed	2026-05-18T04:25:51.155194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5881552c2de33e13d84915592fef9c4a556ca46d1f4471b1a8238eded551af

Aliases

arxiv: 0907.2276 · arxiv_version: 0907.2276v2 · doi: 10.48550/arxiv.0907.2276 · pith_short_12: 75MICVJMFXRT · pith_short_16: 75MICVJMFXRT4E6Y · pith_short_8: 75MICVJM

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/75MICVJMFXRT4E6YJEKVSL7PTR \
  | 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: ff5881552c2de33e13d84915592fef9c4a556ca46d1f4471b1a8238eded551af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9c20b4efd0c9883a066c5ac9349594ec62b1bde22ceaaf13d147f7421eb899",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-07-14T19:04:54Z",
    "title_canon_sha256": "397f0d3710d9e598c7c6fd998ae4c856df0f93bf9542469b61fb64a4e6c929d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2276",
    "kind": "arxiv",
    "version": 2
  }
}