Pith Number

pith:VU4YJZ3V

pith:2026:VU4YJZ3V6YSC5NRT56NLXJIB76

not attested not anchored not stored refs pending

Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA

Gang Yang, Guorui Zhu, Zeyu Li, Zhiming Cai

arxiv:2608.05973 v1 · 2026-08-06 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VU4YJZ3V6YSC5NRT56NLXJIB76}

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	2026-08-07T00:54:50.086997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad3984e775f6242eb633ef9abba501ffb1c4beea52213be861f5b212616b0f07

Aliases

arxiv: 2608.05973 · arxiv_version: 2608.05973v1 · doi: 10.48550/arxiv.2608.05973 · pith_short_12: VU4YJZ3V6YSC · pith_short_16: VU4YJZ3V6YSC5NRT · pith_short_8: VU4YJZ3V

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/VU4YJZ3V6YSC5NRT56NLXJIB76 \
  | 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: ad3984e775f6242eb633ef9abba501ffb1c4beea52213be861f5b212616b0f07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8881cc87c1fb50803ff9b7cef0d0cba853b79ba8a196def4ec644b5dcfcb0680",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-06T12:46:44Z",
    "title_canon_sha256": "3c0ee49a3b232960bffd28e90ef6a8824b921272e263612ee1d41750b040f0a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05973",
    "kind": "arxiv",
    "version": 1
  }
}