Pith Number

pith:B73MIQVM

pith:2012:B73MIQVM5Q63Z2HXIMLGCW7ETT

not attested not anchored not stored refs pending

Self-Consistency Requirements of the Renormalization Group for Setting the Renormalization Scale

Stanley J. Brodsky, Xing-Gang Wu

arxiv:1208.0700 v2 · 2012-08-03 · 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{B73MIQVM5Q63Z2HXIMLGCW7ETT}

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	2026-05-18T03:45:00.079003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff6c442acec3dbce8f74316615be49cf0d81ad2353a2aefeaa317925c12ac44

Aliases

arxiv: 1208.0700 · arxiv_version: 1208.0700v2 · doi: 10.48550/arxiv.1208.0700 · pith_short_12: B73MIQVM5Q63 · pith_short_16: B73MIQVM5Q63Z2HX · pith_short_8: B73MIQVM

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/B73MIQVM5Q63Z2HXIMLGCW7ETT \
  | 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: 0ff6c442acec3dbce8f74316615be49cf0d81ad2353a2aefeaa317925c12ac44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fa660c3f5b7014fbdf74f2dbab3ad1ba3eba70d941e7e86bae0ab7996706223",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-08-03T10:31:19Z",
    "title_canon_sha256": "c4402d3a17bc1c006a0c611f7416f316ad06436cb42ce35209af60b7babd5656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0700",
    "kind": "arxiv",
    "version": 2
  }
}