Pith Number

pith:TCWJXXLG

pith:2016:TCWJXXLG75SQTRCQAXNPZUBWZB

not attested not anchored not stored refs pending

Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff

Adrian Lewandowski (Potsdam, Krzysztof A. Meissner (Warsaw U.), Max Planck Inst., Piotr H. Chankowski (Warsaw U.), Warsaw U.)

arxiv:1608.02270 v3 · 2016-08-07 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCWJXXLG75SQTRCQAXNPZUBWZB}

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	2026-05-18T00:54:35.062775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ac9bdd66ff6509c45005dafcd036c855db9400852343f1f1fb70f9d3d2f74c

Aliases

arxiv: 1608.02270 · arxiv_version: 1608.02270v3 · doi: 10.48550/arxiv.1608.02270 · pith_short_12: TCWJXXLG75SQ · pith_short_16: TCWJXXLG75SQTRCQ · pith_short_8: TCWJXXLG

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/TCWJXXLG75SQTRCQAXNPZUBWZB \
  | 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: 98ac9bdd66ff6509c45005dafcd036c855db9400852343f1f1fb70f9d3d2f74c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7dc9fce1711a156eea54e7997feb7a529dc0fe894f56c54f1af0b6ff25b3e10",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-08-07T21:17:15Z",
    "title_canon_sha256": "468da71a43e7382e26363ed639c963c683326654a941b29e96f460ed78caddd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02270",
    "kind": "arxiv",
    "version": 3
  }
}