Pith Number

pith:XH37DXYB

pith:2022:XH37DXYBUOT2E5W2FVG5IAD53W

not attested not anchored not stored refs pending

The massless three-loop Wilson coefficients for the deep-inelastic structure functions $F_2, F_L, xF_3$ and $g_1$

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

arxiv:2208.14325 v1 · 2022-08-30 · 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{XH37DXYBUOT2E5W2FVG5IAD53W}

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

6 papers in Pith

QCD for electroweak precision measurements: Foundations

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part

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

Receipt and verification

First computed	2026-07-05T05:25:04.982977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f7f1df01a3a7a276da2d4dd4007ddd850a94b68bd6f32b36ae335eaae4fbc2

Aliases

arxiv: 2208.14325 · arxiv_version: 2208.14325v1 · doi: 10.48550/arxiv.2208.14325 · pith_short_12: XH37DXYBUOT2 · pith_short_16: XH37DXYBUOT2E5W2 · pith_short_8: XH37DXYB

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/XH37DXYBUOT2E5W2FVG5IAD53W \
  | 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: b9f7f1df01a3a7a276da2d4dd4007ddd850a94b68bd6f32b36ae335eaae4fbc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6ae1e4beefaf7d2d451980cca0dcb30eb16cf88862a93428a5964c73a167032",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-08-30T15:05:34Z",
    "title_canon_sha256": "a4b92b4ecea5e416a2e03f5d041e39dbbe995f1986e45a1b66c330a2608ac95e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.14325",
    "kind": "arxiv",
    "version": 1
  }
}