Pith Number

pith:R5DAB765

pith:1996:R5DAB765C2I2KO6VBNFKD26XMQ

not attested not anchored not stored refs pending

Automatic Computation Of Three-Loop Two-Point Functions In Large Momentum Expansion

J.H. Kuehn, K.G. Chetyrkin, M. Steinhauser, R. Harlander

arxiv:hep-ph/9611354 v2 · 1996-11-18 · 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{R5DAB765C2I2KO6VBNFKD26XMQ}

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	2026-05-18T04:24:24.677859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f4600ffdd1691a53bd50b4aa1ebd7642b152e0843cf3a8c1b6d65d8285815a8

Aliases

arxiv: hep-ph/9611354 · arxiv_version: hep-ph/9611354v2 · doi: 10.48550/arxiv.hep-ph/9611354 · pith_short_12: R5DAB765C2I2 · pith_short_16: R5DAB765C2I2KO6V · pith_short_8: R5DAB765

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/R5DAB765C2I2KO6VBNFKD26XMQ \
  | 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: 8f4600ffdd1691a53bd50b4aa1ebd7642b152e0843cf3a8c1b6d65d8285815a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fe5c02596cda9e8ff3fcc91d6f2e3709f36d302edb737cb8be8ff59aa43442a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1996-11-18T14:02:50Z",
    "title_canon_sha256": "e8dbcc3bb79b998a1434ad5ab76dcf37ea90423bee6c80e70e0c4ff3c666ba22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9611354",
    "kind": "arxiv",
    "version": 2
  }
}