Pith Number

pith:SFUUZXEH

pith:2021:SFUUZXEHQ6LPSL5LX4N6A6UYKB

not attested not anchored not stored refs pending

The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

C. Schneider, J. Bl\"umlein, K. Sch\"onwald, P. Marquard

arxiv:2111.12401 v2 · 2021-11-24 · hep-ph · hep-ex · 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{SFUUZXEHQ6LPSL5LX4N6A6UYKB}

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

4 papers in Pith

Energy Correlators Resolving Proton Spin

Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory

Entanglement entropy, Monte Carlo event generators, and soft gluons DIScovery

The four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-07-05T03:57:17.093134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91694cdc878796f92fabbf1be07a98505fcc184a2ab59ac61136753e8b211590

Aliases

arxiv: 2111.12401 · arxiv_version: 2111.12401v2 · doi: 10.48550/arxiv.2111.12401 · pith_short_12: SFUUZXEHQ6LP · pith_short_16: SFUUZXEHQ6LPSL5L · pith_short_8: SFUUZXEH

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/SFUUZXEHQ6LPSL5LX4N6A6UYKB \
  | 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: 91694cdc878796f92fabbf1be07a98505fcc184a2ab59ac61136753e8b211590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2713da224b31a1731b2ede6d86b30f04a2241a4ed0b33eb772117befd3178b3b",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-11-24T10:34:47Z",
    "title_canon_sha256": "c61da407bf3aa78d69ba6ae5455d6a41e3b01196c4e046b3495507a3114665b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.12401",
    "kind": "arxiv",
    "version": 2
  }
}