Pith Number

pith:UE5Z5ULJ

pith:2025:UE5Z5ULJTWT4B2VDRIEFKXZRC6

not attested not anchored not stored refs pending

Anomalous dimensions at small spins

A. N. Manashov, L. A. Shumilov, S. Moch

arxiv:2506.05132 v1 · 2025-06-05 · hep-th · 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{UE5Z5ULJTWT4B2VDRIEFKXZRC6}

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

2 papers in Pith

Properties and implications of the four-loop non-singlet splitting functions in QCD

Connecting Supersymmetry to Non-Supersymmetric theories: the Gross-Neveu-Yukawa example

Receipt and verification

First computed	2026-07-05T11:16:42.940964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13b9ed1699da7c0eaa38a08555f311798c0e2efde140a36881e8283c825e487

Aliases

arxiv: 2506.05132 · arxiv_version: 2506.05132v1 · doi: 10.48550/arxiv.2506.05132 · pith_short_12: UE5Z5ULJTWT4 · pith_short_16: UE5Z5ULJTWT4B2VD · pith_short_8: UE5Z5ULJ

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/UE5Z5ULJTWT4B2VDRIEFKXZRC6 \
  | 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: a13b9ed1699da7c0eaa38a08555f311798c0e2efde140a36881e8283c825e487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9923c8339a4da5823219bf5ab9a9212f04c62413745d326ed960c9d7b66bdc3f",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-05T15:17:51Z",
    "title_canon_sha256": "ff2cabda76c24817e2e9f40c54cae9271ff0def1d2f4928e89c04ab1c3574a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05132",
    "kind": "arxiv",
    "version": 1
  }
}