Pith Number

pith:KLLBZISK

pith:2018:KLLBZISKRT4GDW27JCU3SHTXNT

not attested not anchored not stored refs pending

Three-loop massive form factors: complete light-fermion and large-$N_c$ corrections for vector, axial-vector, scalar and pseudo-scalar currents

Alexander V. Smirnov, Matthias Steinhauser, Roman N. Lee, Vladimir A. Smirnov

arxiv:1804.07310 v1 · 2018-04-19 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLLBZISKRT4GDW27JCU3SHTXNT}

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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

The Fate of Ultra-Collinear Modes in On-Shell Massive Sudakov Form Factors

Receipt and verification

First computed	2026-05-18T00:11:34.343821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d61ca24a8cf861db5f48a9b91e776cf5df678d80e05d9b4236c14085e02c7f

Aliases

arxiv: 1804.07310 · arxiv_version: 1804.07310v1 · doi: 10.48550/arxiv.1804.07310 · pith_short_12: KLLBZISKRT4G · pith_short_16: KLLBZISKRT4GDW27 · pith_short_8: KLLBZISK

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/KLLBZISKRT4GDW27JCU3SHTXNT \
  | 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: 52d61ca24a8cf861db5f48a9b91e776cf5df678d80e05d9b4236c14085e02c7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3f82cf0f4db4a20f7c4833989b11a373be507dc02665d28af1e2e2ea160ffab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-04-19T18:00:07Z",
    "title_canon_sha256": "e5545ee3adca43cd986f2a1866550ba3d1e030f5537059edc6c431e6f223e26c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07310",
    "kind": "arxiv",
    "version": 1
  }
}