Pith Number

pith:WFTJJBIX

pith:2021:WFTJJBIXKCZ2TOCHEUQ67HJJZI

not attested not anchored not stored refs pending

Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms

Branislav Jurco, Christian Saemann, Hyungrok Kim, Leron Borsten, Martin Wolf, Tommaso Macrelli

arxiv:2108.03030 v3 · 2021-08-06 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFTJJBIXKCZ2TOCHEUQ67HJJZI}

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

HEFT Numerators from Kinematic Algebra

Receipt and verification

First computed	2026-07-05T05:53:30.516434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b16694851750b3a9b8472521ef9d29ca12aa3de3c227f29765f53ff84eb634ad

Aliases

arxiv: 2108.03030 · arxiv_version: 2108.03030v3 · doi: 10.48550/arxiv.2108.03030 · pith_short_12: WFTJJBIXKCZ2 · pith_short_16: WFTJJBIXKCZ2TOCH · pith_short_8: WFTJJBIX

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/WFTJJBIXKCZ2TOCHEUQ67HJJZI \
  | 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: b16694851750b3a9b8472521ef9d29ca12aa3de3c227f29765f53ff84eb634ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ff0fe4c51565a9e1ea02231bcd72cb4a6d448e3391ff7b034b1f4355db4be78",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-08-06T10:13:05Z",
    "title_canon_sha256": "5286d9e500c92687887c36a24faaffa45a65e3d1842b31c1d55281f96893f699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.03030",
    "kind": "arxiv",
    "version": 3
  }
}