Pith Number

pith:VXYQWOPJ

pith:1998:VXYQWOPJ3MU4SNG2MLW5JWG3QP

not attested not anchored not stored refs pending

Broken conformal invariance and spectrum of anomalous dimensions in QCD

A.V. Belitsky, D. Mueller

arxiv:hep-ph/9804379 v2 · 1998-04-23 · 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{VXYQWOPJ3MU4SNG2MLW5JWG3QP}

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	2026-05-18T04:19:41.467301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf10b39e9db29c934da62edd4d8db83c44b6ebe819a35b1d218f641204e7c0b

Aliases

arxiv: hep-ph/9804379 · arxiv_version: hep-ph/9804379v2 · doi: 10.48550/arxiv.hep-ph/9804379 · pith_short_12: VXYQWOPJ3MU4 · pith_short_16: VXYQWOPJ3MU4SNG2 · pith_short_8: VXYQWOPJ

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/VXYQWOPJ3MU4SNG2MLW5JWG3QP \
  | 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: adf10b39e9db29c934da62edd4d8db83c44b6ebe819a35b1d218f641204e7c0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02ea1ef0b52b93561d0586cff024e3a6a0015280623145303a7ea0c1dff42d3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-04-23T17:35:37Z",
    "title_canon_sha256": "5fe30d5d7596bcdacd4e2c5b7f14f8987adf1cdb351bc40b623b30afe867563e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9804379",
    "kind": "arxiv",
    "version": 2
  }
}