Pith Number

pith:WB77UO3S

pith:1996:WB77UO3S3VR2ELXASUHJLB4VE7

not attested not anchored not stored refs pending

$N=1$ supersymmetry and the three loop gauge beta function

C.G. North, D.R.T. Jones, I. Jack

arxiv:hep-ph/9606323 v2 · 1996-06-13 · 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{WB77UO3S3VR2ELXASUHJLB4VE7}

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

Three-Loop Gauge Beta Functions in Supersymmetric Theories with Exponential Higher Covariant Derivative Regularization

Receipt and verification

First computed	2026-07-04T16:01:36.146288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07ffa3b72dd63a22ee0950e95879527d568dd702f3f104909180eccc83602ca

Aliases

arxiv: hep-ph/9606323 · arxiv_version: hep-ph/9606323v2 · doi: 10.48550/arxiv.hep-ph/9606323 · pith_short_12: WB77UO3S3VR2 · pith_short_16: WB77UO3S3VR2ELXA · pith_short_8: WB77UO3S

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/WB77UO3S3VR2ELXASUHJLB4VE7 \
  | 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: b07ffa3b72dd63a22ee0950e95879527d568dd702f3f104909180eccc83602ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "264b7b5a531e643d18bc59fb1d6fbda52158a1f5e0befb220774cd16f56a8c66",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1996-06-13T14:56:01Z",
    "title_canon_sha256": "e794667ecb26144641852b44aca1755602c179b85219aceaca2ba12fc875bd24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9606323",
    "kind": "arxiv",
    "version": 2
  }
}