Pith Number

pith:L34WAE4L

pith:2019:L34WAE4LYXPQQBET3AFJ4EQMJC

not attested not anchored not stored refs pending

The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements

A. Behring, A. De Freitas, A. Goedicke, A. von Manteuffel, C. Schneider, J. Bl\"umlein, K. Sch\"onwald, S. Klein

arxiv:1908.03779 v1 · 2019-08-10 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L34WAE4LYXPQQBET3AFJ4EQMJC}

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.

Cited by

1 paper in Pith

Entanglement entropy, Monte Carlo event generators, and soft gluons DIScovery

Receipt and verification

First computed	2026-07-05T00:06:53.265979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef960138bc5df080493d80a9e120c489a015fb02d3354f1e2e0be8e1a12dbaa

Aliases

arxiv: 1908.03779 · arxiv_version: 1908.03779v1 · doi: 10.48550/arxiv.1908.03779 · pith_short_12: L34WAE4LYXPQ · pith_short_16: L34WAE4LYXPQQBET · pith_short_8: L34WAE4L

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/L34WAE4LYXPQQBET3AFJ4EQMJC \
  | 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: 5ef960138bc5df080493d80a9e120c489a015fb02d3354f1e2e0be8e1a12dbaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f863b914bbfa38c008c91de492efac130f94b1d50868cd0c8f36e66869a383d5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-08-10T16:40:04Z",
    "title_canon_sha256": "4823a41dfee26826631de2f3df70572339044d8e6ffd1a8b29067376c1bd029f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03779",
    "kind": "arxiv",
    "version": 1
  }
}