Pith Number

pith:C5BEB724

pith:2021:C5BEB724KOLUVB5VNIEPNQ2YCR

not attested not anchored not stored refs pending

RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \beta $-Functions

Anders Eller Thomsen

arxiv:2101.08265 v1 · 2021-01-20 · 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{C5BEB724KOLUVB5VNIEPNQ2YCR}

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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

3 papers in Pith

New Solutions of RG Equations for \alpha_s and y_{top}

Renormalisation and invariants for two U(1)s

Completely asymptotically free chiral theories with scalars

Receipt and verification

First computed	2026-07-05T02:08:33.773237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

174240ff5c53974a87b56a08f6c35814627e83c40ae4c63895030f9a87816932

Aliases

arxiv: 2101.08265 · arxiv_version: 2101.08265v1 · doi: 10.48550/arxiv.2101.08265 · pith_short_12: C5BEB724KOLU · pith_short_16: C5BEB724KOLUVB5V · pith_short_8: C5BEB724

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/C5BEB724KOLUVB5VNIEPNQ2YCR \
  | 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: 174240ff5c53974a87b56a08f6c35814627e83c40ae4c63895030f9a87816932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "783bd3471256e82b3169ce8637837788fa166e1db829819b58cecc151a873030",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-01-20T19:00:00Z",
    "title_canon_sha256": "4587d5a2679572f1cd722e7347e74920aaef69cad59a61b8107fe19d121f2ab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08265",
    "kind": "arxiv",
    "version": 1
  }
}