Pith Number

pith:RL2XWV3X

pith:2020:RL2XWV3XYEQSTF6NGXHUVJD6XT

not attested not anchored not stored refs pending

$\texttt{RGE++}:$ A $\texttt{C++}$ library to solve renormalisation group equations in quantum field theory

Florian Herren, Thomas Deppisch

arxiv:2101.00021 v1 · 2020-12-31 · 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{RL2XWV3XYEQSTF6NGXHUVJD6XT}

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.

Receipt and verification

First computed	2026-07-05T02:04:14.828187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8af57b5777c1212997cd35cf4aa47ebcd7e59282c68c80aba52f0dccf4c5eadc

Aliases

arxiv: 2101.00021 · arxiv_version: 2101.00021v1 · doi: 10.48550/arxiv.2101.00021 · pith_short_12: RL2XWV3XYEQS · pith_short_16: RL2XWV3XYEQSTF6N · pith_short_8: RL2XWV3X

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/RL2XWV3XYEQSTF6NGXHUVJD6XT \
  | 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: 8af57b5777c1212997cd35cf4aa47ebcd7e59282c68c80aba52f0dccf4c5eadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c46f1d430e870ed1e08c2327275ac37c67e8247920c98394cdcb58e389ceab69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-12-31T19:00:04Z",
    "title_canon_sha256": "adced6c5f4713687b1e38971d0add38808be60d6d5b73f11c4d49b0313a5aacd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.00021",
    "kind": "arxiv",
    "version": 1
  }
}