Pith Number

pith:VCMBJTZ7

pith:2023:VCMBJTZ7OB45RUCS543BOCLPZH

not attested not anchored not stored refs pending

Not all that is $\beta_0$ is $\beta$-function: the DGLAP resummation and the running coupling in NLO JIMWLK

Alex Kovner, Michael Lublinsky, Vladimir V. Skokov, Zichen Zhao

arxiv:2308.15545 v1 · 2023-08-29 · 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{VCMBJTZ7OB45RUCS543BOCLPZH}

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	2026-07-05T06:46:09.005135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89814cf3f7079d8d052ef3617096fc9c756b013358392d393a6245f736f7391

Aliases

arxiv: 2308.15545 · arxiv_version: 2308.15545v1 · doi: 10.48550/arxiv.2308.15545 · pith_short_12: VCMBJTZ7OB45 · pith_short_16: VCMBJTZ7OB45RUCS · pith_short_8: VCMBJTZ7

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/VCMBJTZ7OB45RUCS543BOCLPZH \
  | 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: a89814cf3f7079d8d052ef3617096fc9c756b013358392d393a6245f736f7391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431da451a74021b644a2b29b1aa757996a368ad1a8cbf74eccfb7ade44a49f0a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-08-29T18:08:47Z",
    "title_canon_sha256": "73cbe57f099511eb23e476b9907c32c156d3d5fddf45c721cbb21e295a7fb643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.15545",
    "kind": "arxiv",
    "version": 1
  }
}