Pith Number

pith:QPC4GDAK

pith:2016:QPC4GDAKEH36KO4OXE66N32SF4

not attested not anchored not stored refs pending

Infrared Zero of $\beta$ and Value of $\gamma_m$ for an SU(3) Gauge Theory at the Five-Loop Level

Robert Shrock, Thomas A. Ryttov

arxiv:1607.06866 v1 · 2016-07-23 · 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{QPC4GDAKEH36KO4OXE66N32SF4}

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	2026-05-18T00:57:11.483253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c5c30c0a21f7e53b8eb93de6ef522f23caa9f600172f5d013902d1bd1fb9fd

Aliases

arxiv: 1607.06866 · arxiv_version: 1607.06866v1 · doi: 10.48550/arxiv.1607.06866 · pith_short_12: QPC4GDAKEH36 · pith_short_16: QPC4GDAKEH36KO4O · pith_short_8: QPC4GDAK

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/QPC4GDAKEH36KO4OXE66N32SF4 \
  | 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: 83c5c30c0a21f7e53b8eb93de6ef522f23caa9f600172f5d013902d1bd1fb9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "421c68fc7c06345ca5694f8e837603de9e10895f1e7426eb18c627ccd9e81a79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-23T00:38:47Z",
    "title_canon_sha256": "2575c1a32415074aad40a412e5b8028183ca648dba82151b861aa8952d9fcd46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06866",
    "kind": "arxiv",
    "version": 1
  }
}