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Pith Number

pith:WUDSAP2P

pith:2008:WUDSAP2POQBZ3U2SZFC3D6TXGG
not attested not anchored not stored refs pending

Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory

Daniel Z. Freedman (MIT), Henriette Elvang (IAS), Michael Kiermaier (MIT)

arxiv:0811.3624 v1 · 2008-11-21 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WUDSAP2POQBZ3U2SZFC3D6TXGG}

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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

1 paper in Pith

Receipt and verification
First computed 2026-07-04T15:46:23.078826Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b507203f4f74039dd352c945b1fa7731a2a8e48e71c95016b04beef10e2bde56

Aliases

arxiv: 0811.3624 · arxiv_version: 0811.3624v1 · doi: 10.48550/arxiv.0811.3624 · pith_short_12: WUDSAP2POQBZ · pith_short_16: WUDSAP2POQBZ3U2S · pith_short_8: WUDSAP2P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WUDSAP2POQBZ3U2SZFC3D6TXGG \
  | 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: b507203f4f74039dd352c945b1fa7731a2a8e48e71c95016b04beef10e2bde56
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e5af75aaa8403198b810a4c6dee56a9c975af372dbbf00d875f8204c3aa6ad13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-11-21T20:00:30Z",
    "title_canon_sha256": "ca26890345917b5d0532460f35e84a064b5401e44e23f844870d6faa16df42cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3624",
    "kind": "arxiv",
    "version": 1
  }
}