Pith Number

pith:VI6ZU5Q7

pith:1998:VI6ZU5Q7SXRH3SIKRH7HAGMP4O

not attested not anchored not stored refs pending

Three-loop vacuum integrals in FORM and REDUCE

M. Steinhauser (MPI Munich), P. A. Baikov (INP MSU)

arxiv:hep-ph/9802429 v1 · 1998-02-26 · 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{VI6ZU5Q7SXRH3SIKRH7HAGMP4O}

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	2026-07-04T16:09:10.573878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa3d9a761f95e27dc90a89fe70198fe3838642a84965f16679a34e956475fdf9

Aliases

arxiv: hep-ph/9802429 · arxiv_version: hep-ph/9802429v1 · doi: 10.48550/arxiv.hep-ph/9802429 · pith_short_12: VI6ZU5Q7SXRH · pith_short_16: VI6ZU5Q7SXRH3SIK · pith_short_8: VI6ZU5Q7

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/VI6ZU5Q7SXRH3SIKRH7HAGMP4O \
  | 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: aa3d9a761f95e27dc90a89fe70198fe3838642a84965f16679a34e956475fdf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a6b9c38c7ab482daf6385e61c2d03bf606cc555a719b340c7a4156f415ac0f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-02-26T12:36:52Z",
    "title_canon_sha256": "2c1c68d45fe4854847061eb072e8f266a811d4ad6b9b3aa3fa8034f40b960851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9802429",
    "kind": "arxiv",
    "version": 1
  }
}