Pith Number

pith:GLN6MD2O

pith:1992:GLN6MD2OSSG3T7E5M7O7QB7WEB

not attested not anchored not stored refs pending

Two--Loop Anomalous Dimension Matrix for $\Delta S=1$ Weak Non-Leptonic Decays II: ${\cal O}(\alpha_e \alpha_s)$

Andrzej J. Buras, Markus E. Lautenbacher, Matthias Jamin

arxiv:hep-ph/9211321 v1 · 1992-11-26 · 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{GLN6MD2OSSG3T7E5M7O7QB7WEB}

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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

Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR

Receipt and verification

First computed	2026-07-04T15:55:18.016271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32dbe60f4e948db9fc9d67ddf807f6205020b07f73e784c5d5076d282203d69c

Aliases

arxiv: hep-ph/9211321 · arxiv_version: hep-ph/9211321v1 · doi: 10.48550/arxiv.hep-ph/9211321 · pith_short_12: GLN6MD2OSSG3 · pith_short_16: GLN6MD2OSSG3T7E5 · pith_short_8: GLN6MD2O

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/GLN6MD2OSSG3T7E5M7O7QB7WEB \
  | 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: 32dbe60f4e948db9fc9d67ddf807f6205020b07f73e784c5d5076d282203d69c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22750422afca6a7fa9c7df598a5e6086655e6d027388deccf762ca4be8c8303f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1992-11-26T12:39:54Z",
    "title_canon_sha256": "e223ac0a4d4c1cfe7a9bdbcb3754a43b1f75ad0b09abcea41edcfee12b7e2a81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9211321",
    "kind": "arxiv",
    "version": 1
  }
}