Pith Number

pith:FT2KT6U7

pith:2018:FT2KT6U7RI2D7QI7WYNQ6LRIDG

not attested not anchored not stored refs pending

Four-loop results on anomalous dimensions and splitting functions in QCD

Amsterdam), A. Vogt (Liverpool U., B. Ruijl (Zurich, Dept. Math.), ETH), Inst. Theor. Phys. II), J.A.M. Vermaseren (NIKHEF, S. Moch (Hamburg U., T. Ueda

arxiv:1801.06085 v1 · 2018-01-18 · 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{FT2KT6U7RI2D7QI7WYNQ6LRIDG}

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.

Receipt and verification

First computed	2026-05-18T00:25:35.586557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf4a9fa9f8a343fc11fb61b0f2e2819b024fb914732891aed5096f7968a7cb5

Aliases

arxiv: 1801.06085 · arxiv_version: 1801.06085v1 · doi: 10.48550/arxiv.1801.06085 · pith_short_12: FT2KT6U7RI2D · pith_short_16: FT2KT6U7RI2D7QI7 · pith_short_8: FT2KT6U7

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/FT2KT6U7RI2D7QI7WYNQ6LRIDG \
  | 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: 2cf4a9fa9f8a343fc11fb61b0f2e2819b024fb914732891aed5096f7968a7cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cd5587e2f3e72ca684a86e9c2d9d932d2693385029cfb77f0a4ca3423c5ac77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-01-18T15:06:19Z",
    "title_canon_sha256": "c8648136aee68db31f869cd39b0949613e66ea43adffb12ef9da72dacb459419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06085",
    "kind": "arxiv",
    "version": 1
  }
}