Pith Number

pith:JQRV77BF

pith:2017:JQRV77BF3V42GHLSFQSXZYY5LG

not attested not anchored not stored refs pending

The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2, N_F)}$

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

arxiv:1705.01508 v1 · 2017-05-03 · hep-ph · hep-ex · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQRV77BF3V42GHLSFQSXZYY5LG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

2 papers in Pith

Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory

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

Receipt and verification

First computed	2026-05-18T00:37:01.418248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c235ffc25dd79a31d722c257ce31d59be3c02ebe7d995e4bd7d31933fc108b9

Aliases

arxiv: 1705.01508 · arxiv_version: 1705.01508v1 · doi: 10.48550/arxiv.1705.01508 · pith_short_12: JQRV77BF3V42 · pith_short_16: JQRV77BF3V42GHLS · pith_short_8: JQRV77BF

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/JQRV77BF3V42GHLSFQSXZYY5LG \
  | 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: 4c235ffc25dd79a31d722c257ce31d59be3c02ebe7d995e4bd7d31933fc108b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe8ba0764b4dc777ac01656033b51f87b0194dfee4cb250470e333e9cfe92b7",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-05-03T17:07:53Z",
    "title_canon_sha256": "a3c499e8ede6167cd3a7c56ad472f5960321b334339cd6f4330b41d94f9f1792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01508",
    "kind": "arxiv",
    "version": 1
  }
}