Pith Number

pith:WF52DVYX

pith:2024:WF52DVYXYYE64QNX7TXAL6CPOL

not attested not anchored not stored refs pending

A Simple Dirac Prescription for Two-Loop Anomalous Dimension Matrices

Jason Aebischer, Marko Pesut, Zachary Polonsky

arxiv:2401.16904 v2 · 2024-01-30 · 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{WF52DVYXYYE64QNX7TXAL6CPOL}

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

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

Receipt and verification

First computed	2026-07-05T08:51:46.416544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b17ba1d717c609ee41b7fcee05f84f72ee8743d225b490307bcf167abb5a6c2a

Aliases

arxiv: 2401.16904 · arxiv_version: 2401.16904v2 · doi: 10.48550/arxiv.2401.16904 · pith_short_12: WF52DVYXYYE6 · pith_short_16: WF52DVYXYYE64QNX · pith_short_8: WF52DVYX

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/WF52DVYXYYE64QNX7TXAL6CPOL \
  | 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: b17ba1d717c609ee41b7fcee05f84f72ee8743d225b490307bcf167abb5a6c2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce14b21b055ffe29f8315416c5fe86d449cd45172ec042c2d5c284dafb9678ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-01-30T11:12:13Z",
    "title_canon_sha256": "264fe98425e8a895704548af863612a79eb5273e43806f78093f807eb123ad55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.16904",
    "kind": "arxiv",
    "version": 2
  }
}