Pith Number

pith:LG6YANQG

pith:2011:LG6YANQGRGXPR6VXVA7PQZLXZV

not attested not anchored not stored refs pending

All-loop group-theory constraints for color-ordered SU(N) gauge-theory amplitudes

Stephen G. Naculich

arxiv:1110.1859 v3 · 2011-10-09 · 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{LG6YANQGRGXPR6VXVA7PQZLXZV}

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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	2026-05-18T02:00:15.934502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59bd80360689aef8fab7a83ef86577cd78422569c32d9f4ba0c8e4ef0c8fe914

Aliases

arxiv: 1110.1859 · arxiv_version: 1110.1859v3 · doi: 10.48550/arxiv.1110.1859 · pith_short_12: LG6YANQGRGXP · pith_short_16: LG6YANQGRGXPR6VX · pith_short_8: LG6YANQG

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/LG6YANQGRGXPR6VXVA7PQZLXZV \
  | 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: 59bd80360689aef8fab7a83ef86577cd78422569c32d9f4ba0c8e4ef0c8fe914

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64bc79e843d8610d489bc9fccebe314493fedb684d7ed5b552c78599cc6186e6",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-10-09T17:10:10Z",
    "title_canon_sha256": "4eb82d19d2fc3b5836824d3076e4305812bed8b8b60a28827ae81c6da2018d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1859",
    "kind": "arxiv",
    "version": 3
  }
}