Pith Number

pith:CUQG5PIY

pith:2004:CUQG5PIY2RGMR3UAHIWW5RIGOX

not attested not anchored not stored refs pending

New Recursion Relations for Tree Amplitudes of Gluons

Bo Feng, Freddy Cachazo, Ruth Britto

arxiv:hep-th/0412308 v3 · 2004-12-27 · hep-th · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUQG5PIY2RGMR3UAHIWW5RIGOX}

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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

22 papers in Pith

Perturbiner methods in scattering amplitude

A Cosmological BCFW Bridge and Its Canonical Geometry

Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$

On-Shell Bootstrap of Loop Inflation Correlators with Spectral Dispersion

Quantum anomalies from three-point on-shell bootstrap

Receipt and verification

First computed	2026-07-04T15:17:49.978686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15206ebd18d44cc8ee803a2d6ec50675d8970cfac6bb409bb46415cdcf09cb77

Aliases

arxiv: hep-th/0412308 · arxiv_version: hep-th/0412308v3 · doi: 10.48550/arxiv.hep-th/0412308 · pith_short_12: CUQG5PIY2RGM · pith_short_16: CUQG5PIY2RGMR3UA · pith_short_8: CUQG5PIY

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/CUQG5PIY2RGMR3UAHIWW5RIGOX \
  | 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: 15206ebd18d44cc8ee803a2d6ec50675d8970cfac6bb409bb46415cdcf09cb77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a904aeaba88d3f52312d5b53b4c6a112f3cf738deba11c988ced88182f62fff6",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-12-27T20:23:36Z",
    "title_canon_sha256": "24a49e13da9fb358730c3aafdbcf19cbac7ae37417d2bf33c1237923e7c6c6d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0412308",
    "kind": "arxiv",
    "version": 3
  }
}