Pith Number

pith:GQBXVASY

pith:1993:GQBXVASYSZBWUVJZ2T2Z3GJ66Y

not attested not anchored not stored refs pending

Two-Loop Renormalization Group Equations for Soft Supersymmetry-Breaking Couplings

Michael T. Vaughn, Stephen P. Martin

arxiv:hep-ph/9311340 v4 · 1993-11-23 · 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{GQBXVASYSZBWUVJZ2T2Z3GJ66Y}

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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

Calculating $\beta$-function coefficients of Renormalization Group Equations

Receipt and verification

First computed	2026-05-18T02:37:19.241870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34037a825896436a5539d4f59d993ef614847542787d927fb764716053d5314d

Aliases

arxiv: hep-ph/9311340 · arxiv_version: hep-ph/9311340v4 · doi: 10.48550/arxiv.hep-ph/9311340 · pith_short_12: GQBXVASYSZBW · pith_short_16: GQBXVASYSZBWUVJZ · pith_short_8: GQBXVASY

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/GQBXVASYSZBWUVJZ2T2Z3GJ66Y \
  | 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: 34037a825896436a5539d4f59d993ef614847542787d927fb764716053d5314d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5a031f633d99f8d4bc723ed4767cac67a5dbddecd4f4bd0a79b5865816593d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "1993-11-23T00:48:11Z",
    "title_canon_sha256": "06b8c5ba20d9c50f037cea88d86331020fdd6841841583da5c82e22e3fe7ade7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9311340",
    "kind": "arxiv",
    "version": 4
  }
}