Pith Number

pith:YJ7POO2E

pith:2016:YJ7POO2ED65XWSKJBGEJYIVK5R

not attested not anchored not stored refs pending

Color-factor symmetry and BCJ relations for QCD amplitudes

Robert W. Brown, Stephen G. Naculich

arxiv:1608.05291 v3 · 2016-08-18 · 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{YJ7POO2ED65XWSKJBGEJYIVK5R}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T00:57:26.443265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c27ef73b441fbb7b494909889c22aaec72bfaa15bafd29434f247a3d88233a3b

Aliases

arxiv: 1608.05291 · arxiv_version: 1608.05291v3 · doi: 10.48550/arxiv.1608.05291 · pith_short_12: YJ7POO2ED65X · pith_short_16: YJ7POO2ED65XWSKJ · pith_short_8: YJ7POO2E

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/YJ7POO2ED65XWSKJBGEJYIVK5R \
  | 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: c27ef73b441fbb7b494909889c22aaec72bfaa15bafd29434f247a3d88233a3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b3d37bcefd43113474701f2c3a105985b8da29845c09ec184cdb86812af587",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-08-18T15:17:30Z",
    "title_canon_sha256": "0db80297d165f77a67c725e1427f3c682efbc3c28b4ebfe47a12bb6a899e2c94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05291",
    "kind": "arxiv",
    "version": 3
  }
}