Pith Number

pith:ZK6HJMCE

pith:2014:ZK6HJMCEFXJMRZNEHBDJHBWSFZ

not attested not anchored not stored refs pending

The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x,Q^2)$ and the Anomalous Dimension

A. Behring, A. De Freitas, A. von Manteuffel, C. Schneider, J. Ablinger, J. Bl\"umlein

arxiv:1409.1135 v1 · 2014-09-03 · hep-ph · hep-ex · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK6HJMCEFXJMRZNEHBDJHBWSFZ}

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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

3 papers in Pith

New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC

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

The four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-05-18T01:42:08.584041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cabc74b0442dd2c8e5a438469386d22e5c55ae48b57255e9391c1a2eeb876427

Aliases

arxiv: 1409.1135 · arxiv_version: 1409.1135v1 · doi: 10.48550/arxiv.1409.1135 · pith_short_12: ZK6HJMCEFXJM · pith_short_16: ZK6HJMCEFXJMRZNE · pith_short_8: ZK6HJMCE

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/ZK6HJMCEFXJMRZNEHBDJHBWSFZ \
  | 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: cabc74b0442dd2c8e5a438469386d22e5c55ae48b57255e9391c1a2eeb876427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b970369707915e7cfcffc2118b8cd4bed63376521bba213ce65c8fb1b76c7c62",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-09-03T15:58:54Z",
    "title_canon_sha256": "dad06e8443e5354995ed66349f83fe2186ded0124b139dff77e9c432f207dfd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1135",
    "kind": "arxiv",
    "version": 1
  }
}