Pith Number

pith:LIBLG6MO

pith:2011:LIBLG6MOGMMAF7Z25WE2EADQVF

not attested not anchored not stored refs pending

SU(N) group-theory constraints on color-ordered five-point amplitudes at all loop orders

Alexander C. Edison, Stephen G. Naculich

arxiv:1111.3821 v2 · 2011-11-16 · hep-th · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIBLG6MOGMMAF7Z25WE2EADQVF}

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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

Color Decompositions of the Two Loop Amplitudes of Yang-Mills theory

Receipt and verification

First computed	2026-05-18T01:59:32.316497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a02b3798e331802ff3aed89a20070a9534d3fac5a641bacb8447053ac96b9b7

Aliases

arxiv: 1111.3821 · arxiv_version: 1111.3821v2 · doi: 10.48550/arxiv.1111.3821 · pith_short_12: LIBLG6MOGMMA · pith_short_16: LIBLG6MOGMMAF7Z2 · pith_short_8: LIBLG6MO

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/LIBLG6MOGMMAF7Z25WE2EADQVF \
  | 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: 5a02b3798e331802ff3aed89a20070a9534d3fac5a641bacb8447053ac96b9b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd204a44a3cf0a80469445975fa8e57b4fd66d5527ba3e970427dbaa2b08d5c",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-16T14:38:24Z",
    "title_canon_sha256": "d8de5a90db4fa64de706b9fb7de2b064ab0f408aec47ca786f776ba79eccc018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3821",
    "kind": "arxiv",
    "version": 2
  }
}