Pith Number

pith:Q4KMUNH7

pith:1999:Q4KMUNH727EKG6X7PPCMLJJUCM

not attested not anchored not stored refs pending

Deep Inelastic Structure Functions at two Loops

J.A.M. Vermaseren, S. Moch

arxiv:hep-ph/9912355 v1 · 1999-12-15 · 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{Q4KMUNH727EKG6X7PPCMLJJUCM}

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

2 papers in Pith

Energy Correlators Resolving Proton Spin

Properties and implications of the four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-07-04T16:14:35.809006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8714ca34ffd7c8a37aff7bc4c5a534133fe0f45d37b4ab2493233e64d167a681

Aliases

arxiv: hep-ph/9912355 · arxiv_version: hep-ph/9912355v1 · doi: 10.48550/arxiv.hep-ph/9912355 · pith_short_12: Q4KMUNH727EK · pith_short_16: Q4KMUNH727EKG6X7 · pith_short_8: Q4KMUNH7

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/Q4KMUNH727EKG6X7PPCMLJJUCM \
  | 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: 8714ca34ffd7c8a37aff7bc4c5a534133fe0f45d37b4ab2493233e64d167a681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d32bc6445acb8678d3f6f3cab8ff67a649d552b7e610a662c66f1e09e97696",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-12-15T14:37:37Z",
    "title_canon_sha256": "24c537f1dcf7f07a0fa1c4a21182a51471f6f3e9d2bb63028647d0cfe94a9e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9912355",
    "kind": "arxiv",
    "version": 1
  }
}