Pith Number

pith:QW5GO2FM

pith:2026:QW5GO2FMKO7TUA4OZQTKW5AP7U

not attested not anchored not stored refs pending

Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter

Abigail R. Chriss, Mia Karlsson, Stephen G. Naculich

arxiv:2607.10006 v1 · 2026-07-10 · 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{QW5GO2FMKO7TUA4OZQTKW5AP7U}

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	2026-07-14T00:18:47.269952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85ba6768ac53bf3a038ecc26ab740ffd2661740ca31406e73440b3ee11c962d4

Aliases

arxiv: 2607.10006 · arxiv_version: 2607.10006v1 · doi: 10.48550/arxiv.2607.10006 · pith_short_12: QW5GO2FMKO7T · pith_short_16: QW5GO2FMKO7TUA4O · pith_short_8: QW5GO2FM

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/QW5GO2FMKO7TUA4OZQTKW5AP7U \
  | 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: 85ba6768ac53bf3a038ecc26ab740ffd2661740ca31406e73440b3ee11c962d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cafc34974bfa18baf33c88bb33f0247e2860011c95689850d64e736e8f00c26",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-10T22:06:25Z",
    "title_canon_sha256": "1512c6a01cc4f0468843a5676c0584fb4a49c4398deec00a2ce2f60a9d2f388a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10006",
    "kind": "arxiv",
    "version": 1
  }
}