Pith Number

pith:TGJC2T5R

pith:2023:TGJC2T5RQEVQDZQOUJWZGB7N3W

not attested not anchored not stored refs pending

Color-Kinematics Duality with Minimal Deformation: Two-Loop Four-Gluon Amplitudes in Pure Yang-Mills Revisited

Gang Yang, Zeyu Li

arxiv:2312.04319 v2 · 2023-12-07 · 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{TGJC2T5RQEVQDZQOUJWZGB7N3W}

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.

Cited by

1 paper in Pith

On one-loop amplitudes in gauge theories

Receipt and verification

First computed	2026-07-05T07:50:05.655264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99922d4fb1812b01e60ea26d9307eddda9d85dd6f884531aeaafc1260d3c9dda

Aliases

arxiv: 2312.04319 · arxiv_version: 2312.04319v2 · doi: 10.48550/arxiv.2312.04319 · pith_short_12: TGJC2T5RQEVQ · pith_short_16: TGJC2T5RQEVQDZQO · pith_short_8: TGJC2T5R

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/TGJC2T5RQEVQDZQOUJWZGB7N3W \
  | 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: 99922d4fb1812b01e60ea26d9307eddda9d85dd6f884531aeaafc1260d3c9dda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11bff643625521e709fe8bda1ead3f06670b5d6bb3271ca288711bdff36f7eba",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-12-07T14:21:33Z",
    "title_canon_sha256": "e868dad8bde020ab331a829ba9c75b95807730207df52a4c0d916a6bf8fb4b1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.04319",
    "kind": "arxiv",
    "version": 2
  }
}