Pith Number

pith:6SOFPKHI

pith:2015:6SOFPKHIQLT5QXPG4S7YXVHXIB

not attested not anchored not stored refs pending

Proof of the fundamental BCJ relations for QCD amplitudes

Alexander Kniss, Leonardo de la Cruz, Stefan Weinzierl

arxiv:1508.01432 v2 · 2015-08-06 · 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{6SOFPKHIQLT5QXPG4S7YXVHXIB}

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	2026-05-18T01:33:41.891252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f49c57a8e882e7d85de6e4bf8bd4f7405f008c49f9faf208f6dbb7af5971876c

Aliases

arxiv: 1508.01432 · arxiv_version: 1508.01432v2 · doi: 10.48550/arxiv.1508.01432 · pith_short_12: 6SOFPKHIQLT5 · pith_short_16: 6SOFPKHIQLT5QXPG · pith_short_8: 6SOFPKHI

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/6SOFPKHIQLT5QXPG4S7YXVHXIB \
  | 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: f49c57a8e882e7d85de6e4bf8bd4f7405f008c49f9faf208f6dbb7af5971876c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc4dfd17fa55cf77361d3f2bf86e27c824487e33adad57227247e7ab466ee89",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-08-06T15:24:24Z",
    "title_canon_sha256": "0f91c2d8396de7161c7fe1da6c420201a3e9fa8dbb366eba38d9e5b09c0954f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01432",
    "kind": "arxiv",
    "version": 2
  }
}