Pith Number

pith:R2X32GJ4

pith:2021:R2X32GJ4HTSBM53XAIOFFJRH7M

not attested not anchored not stored refs pending

Transverse momentum dependent operator expansion at next-to-leading power

Alexey Vladimirov, Ignazio Scimemi, Valentin Moos

arxiv:2109.09771 v2 · 2021-09-20 · hep-ph · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2X32GJ4HTSBM53XAIOFFJRH7M}

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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

4 papers in Pith

From target to projectile: CSS evolution of quark TMD in different light-cone gauges

One-loop matching of QCD currents to power-suppressed two-jet operators

Phenomenology of genuine twist-three distributions from a global QCD analysis

Introduction to transverse momentum imaging

Receipt and verification

First computed	2026-07-05T03:55:01.917693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eafbd193c3ce4167777021c52a627fb185e67337b3b5be8d334043bda787b22

Aliases

arxiv: 2109.09771 · arxiv_version: 2109.09771v2 · doi: 10.48550/arxiv.2109.09771 · pith_short_12: R2X32GJ4HTSB · pith_short_16: R2X32GJ4HTSBM53X · pith_short_8: R2X32GJ4

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/R2X32GJ4HTSBM53XAIOFFJRH7M \
  | 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: 8eafbd193c3ce4167777021c52a627fb185e67337b3b5be8d334043bda787b22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90e5c21f0b00dbbe85d44805c2cc15290587f32d3bbb5f1255e99d47d803b46f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-09-20T18:04:26Z",
    "title_canon_sha256": "77e095eda1e222783349fc4cdbfcad1d5db0b4cd99ac316dae48d5529a54830e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09771",
    "kind": "arxiv",
    "version": 2
  }
}