Pith Number

pith:3TLOEXFR

pith:2024:3TLOEXFRNUA52X5BF67UEK2ENH

not attested not anchored not stored refs pending

Renormalization-group equations of the LEFT at two loops: dimension-five effects

Luca Naterop, Peter Stoffer

arxiv:2412.13251 v2 · 2024-12-17 · hep-ph · hep-ex · hep-lat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TLOEXFRNUA52X5BF67UEK2ENH}

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

3 papers in Pith

Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model

Renormalization of the SMEFT to Dimension Eight: Fermionic Interactions II

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

Receipt and verification

First computed	2026-07-05T11:22:34.993041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcd6e25cb16d01dd5fa12fbf422b4469e14a90af6e6b8013e6b0daf8c4c230ec

Aliases

arxiv: 2412.13251 · arxiv_version: 2412.13251v2 · doi: 10.48550/arxiv.2412.13251 · pith_short_12: 3TLOEXFRNUA5 · pith_short_16: 3TLOEXFRNUA52X5B · pith_short_8: 3TLOEXFR

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/3TLOEXFRNUA52X5BF67UEK2ENH \
  | 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: dcd6e25cb16d01dd5fa12fbf422b4469e14a90af6e6b8013e6b0daf8c4c230ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad26a09b82cc64de9450026acd5b36937d7b98a9c53cdd7723019a49d2fd87e",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-12-17T19:00:00Z",
    "title_canon_sha256": "a0b4133ca1ea78e4b92fdd6b1cb0ed1815afa3f58235ef2dce37c5a86345eca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13251",
    "kind": "arxiv",
    "version": 2
  }
}