Pith Number

pith:EUZZGGBM

pith:2012:EUZZGGBMPS3HUJ7ATAVHSM5DQP

not attested not anchored not stored refs pending

A Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in PQCD

Matin Mojaza, Stanley J. Brodsky, Xing-Gang Wu

arxiv:1212.0049 v3 · 2012-12-01 · 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{EUZZGGBMPS3HUJ7ATAVHSM5DQP}

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

Renormalisation

Receipt and verification

First computed	2026-05-18T03:20:35.337454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253393182c7cb67a27e0982a7933a383caa13c0f0b07b597933892a4208d97c7

Aliases

arxiv: 1212.0049 · arxiv_version: 1212.0049v3 · doi: 10.48550/arxiv.1212.0049 · pith_short_12: EUZZGGBMPS3H · pith_short_16: EUZZGGBMPS3HUJ7A · pith_short_8: EUZZGGBM

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/EUZZGGBMPS3HUJ7ATAVHSM5DQP \
  | 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: 253393182c7cb67a27e0982a7933a383caa13c0f0b07b597933892a4208d97c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a605cb505cc5c3afa76e43748a5971f5330899711ab8527bca187465907641c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-12-01T01:00:23Z",
    "title_canon_sha256": "c8a36b1f34dd53f5b8a94ff9e8238ef00ca5dc7f3e36e8255c5caa2c75562cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0049",
    "kind": "arxiv",
    "version": 3
  }
}