Pith Number

pith:TMR3QHPK

pith:2010:TMR3QHPKKBGRAN7ERHIYZRRB2H

not attested not anchored not stored refs pending

Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions

Robert Shrock, Thomas A. Ryttov

arxiv:1011.4542 v2 · 2010-11-20 · 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{TMR3QHPKKBGRAN7ERHIYZRRB2H}

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	2026-05-18T04:26:22.896515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b23b81dea504d1037e489d18cc621d1dcf2173fd9de13567115a03d43d2ffd7

Aliases

arxiv: 1011.4542 · arxiv_version: 1011.4542v2 · doi: 10.48550/arxiv.1011.4542 · pith_short_12: TMR3QHPKKBGR · pith_short_16: TMR3QHPKKBGRAN7E · pith_short_8: TMR3QHPK

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/TMR3QHPKKBGRAN7ERHIYZRRB2H \
  | 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: 9b23b81dea504d1037e489d18cc621d1dcf2173fd9de13567115a03d43d2ffd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e4b279a493543159ebb9e41b4b5caf7e8802810582a102305ae58f84bd1de0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-11-20T00:38:18Z",
    "title_canon_sha256": "d54733c3d2570685bbbb1318d55c8bea2ccb66a05a292aa2157e9a21a75d3510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4542",
    "kind": "arxiv",
    "version": 2
  }
}