Pith Number

pith:UTBYF3HF

pith:2026:UTBYF3HFFW6BE6Y3YIEAS5Q57Y

not attested not anchored not stored refs pending

Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$

M. Maniatis

arxiv:2606.02702 v1 · 2026-06-01 · 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{UTBYF3HFFW6BE6Y3YIEAS5Q57Y}

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	2026-06-03T00:05:07.359780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c382ece52dbc127b1bc20809761dfe1bb31a3abc89004875377d914b9345b4

Aliases

arxiv: 2606.02702 · arxiv_version: 2606.02702v1 · doi: 10.48550/arxiv.2606.02702 · pith_short_12: UTBYF3HFFW6B · pith_short_16: UTBYF3HFFW6BE6Y3 · pith_short_8: UTBYF3HF

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/UTBYF3HFFW6BE6Y3YIEAS5Q57Y \
  | 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: a4c382ece52dbc127b1bc20809761dfe1bb31a3abc89004875377d914b9345b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8dad7970fb475d6a56554f4739457dbcd560f60962d5d5e3c7322347b0a6d9",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-01T18:00:01Z",
    "title_canon_sha256": "b6ef1c8937589bf38be21131ff3c383422b8c78127e2bd4abc280778b022aafd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02702",
    "kind": "arxiv",
    "version": 1
  }
}