Pith Number

pith:QGYTEOAL

pith:2021:QGYTEOALWHXR52VI23I6FFNVDV

not attested not anchored not stored refs pending

The N$^3$LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \boldmath $F^{\rm NS}_2(x,Q^2)$ and $g_1^{\rm NS}(x,Q^2)$

J. Bl\"umlein, M. Saragnese

arxiv:2107.01293 v1 · 2021-07-02 · hep-ph · hep-ex

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGYTEOALWHXR52VI23I6FFNVDV}

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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

Analytic Solution for the Helicity Evolution Equations at Small $x$ and Large $N_c\&N_f$

Receipt and verification

First computed	2026-07-05T03:14:21.453103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b132380bb1ef1eeaa8d6d1e295b51d7e8d9f9d59d2051d402f70ec63c13ff8

Aliases

arxiv: 2107.01293 · arxiv_version: 2107.01293v1 · doi: 10.48550/arxiv.2107.01293 · pith_short_12: QGYTEOALWHXR · pith_short_16: QGYTEOALWHXR52VI · pith_short_8: QGYTEOAL

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/QGYTEOALWHXR52VI23I6FFNVDV \
  | 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: 81b132380bb1ef1eeaa8d6d1e295b51d7e8d9f9d59d2051d402f70ec63c13ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0ddc5cd292cc15987865fefad3394fc25cdc259500ecbacdbc6c56c761da66",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-07-02T22:13:55Z",
    "title_canon_sha256": "336f08955c40cee25dc5f7a2c2128eb5c29f9f11df146696b84aa2121466c347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01293",
    "kind": "arxiv",
    "version": 1
  }
}