Pith. sign in
Pith Number

pith:WOLFL3ZR

pith:2022:WOLFL3ZREAVJIUMGSQOB3HQLGZ
not attested not anchored not stored refs pending

The width difference in \bbm\ at order $\alpha_s$ and beyond

Marvin Gerlach, Matthias Steinhauser, Ulrich Nierste, Vladyslav Shtabovenko

arxiv:2202.12305 v1 · 2022-02-24 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WOLFL3ZREAVJIUMGSQOB3HQLGZ}

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

Receipt and verification
First computed 2026-07-05T03:59:53.852128Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b39655ef31202a945186941c1d9e0b3661e241d83d1d222c2e5c396cb28cf3a7

Aliases

arxiv: 2202.12305 · arxiv_version: 2202.12305v1 · doi: 10.48550/arxiv.2202.12305 · pith_short_12: WOLFL3ZREAVJ · pith_short_16: WOLFL3ZREAVJIUMG · pith_short_8: WOLFL3ZR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WOLFL3ZREAVJIUMGSQOB3HQLGZ \
  | 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: b39655ef31202a945186941c1d9e0b3661e241d83d1d222c2e5c396cb28cf3a7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "49d98f5b1787e9b21568f4308c7d84d52525eebe7efee59098388078f21d92ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-02-24T19:00:02Z",
    "title_canon_sha256": "c52c95ac67ba9c806aef718cbf80b6d2473dc874bc256b08bcfee82de17556a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.12305",
    "kind": "arxiv",
    "version": 1
  }
}