Pith Number

pith:KSSBSS5O

pith:2022:KSSBSS5OTUCPEOVP5ZOWH3AOH6

not attested not anchored not stored refs pending

The $\{\beta\}$-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order $O(\alpha_s^4)$

P. A. Baikov, S. V. Mikhailov

arxiv:2206.14063 v3 · 2022-06-28 · 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{KSSBSS5OTUCPEOVP5ZOWH3AOH6}

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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

Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results

Receipt and verification

First computed	2026-07-05T05:07:47.268342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54a4194bae9d04f23aafee5d63ec0e3fbd868d0b034f561fe65f87ae05fa648f

Aliases

arxiv: 2206.14063 · arxiv_version: 2206.14063v3 · doi: 10.48550/arxiv.2206.14063 · pith_short_12: KSSBSS5OTUCP · pith_short_16: KSSBSS5OTUCPEOVP · pith_short_8: KSSBSS5O

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/KSSBSS5OTUCPEOVP5ZOWH3AOH6 \
  | 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: 54a4194bae9d04f23aafee5d63ec0e3fbd868d0b034f561fe65f87ae05fa648f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec5d1d1873e93309f05878886c4f19fb02b19d3153e51dffa7549a1387d927d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-06-28T15:05:37Z",
    "title_canon_sha256": "ebe42f30f04c40fa164094437af45a9ae982569ea32c1da0078ded73b3cf9d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.14063",
    "kind": "arxiv",
    "version": 3
  }
}