Pith Number

pith:VC66WKSA

pith:2022:VC66WKSAKVDJU7ZAPUH6LJPVB7

not attested not anchored not stored refs pending

Antipodal Symmetry of Two-Loop MHV Amplitudes

Yu-Ting Liu

arxiv:2207.11815 v1 · 2022-07-24 · 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{VC66WKSAKVDJU7ZAPUH6LJPVB7}

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

Antipodal self-duality of square fishnet graphs

Receipt and verification

First computed	2026-07-05T05:01:27.586032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8bdeb2a4055469a7f207d0fe5a5f50fd364c53b74e0d0d8973b1862696269b5

Aliases

arxiv: 2207.11815 · arxiv_version: 2207.11815v1 · doi: 10.48550/arxiv.2207.11815 · pith_short_12: VC66WKSAKVDJ · pith_short_16: VC66WKSAKVDJU7ZA · pith_short_8: VC66WKSA

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/VC66WKSAKVDJU7ZAPUH6LJPVB7 \
  | 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: a8bdeb2a4055469a7f207d0fe5a5f50fd364c53b74e0d0d8973b1862696269b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ea2f40ae118e7717dc5dc017080e2d4d1ce8bce4b8dc2677ee9bdf43b0f0646",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-07-24T21:01:28Z",
    "title_canon_sha256": "2220dbb5f29cf6c475084b3671c0a624e243c040de25c4bd61a8fd3d9d978a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.11815",
    "kind": "arxiv",
    "version": 1
  }
}