Pith Number

pith:54MHNT27

pith:2002:54MHNT274FMCMPFWKIT3YPSL6A

not attested not anchored not stored refs pending

Reshuffling the OPE: Delocalized Operator Expansion

A. H. Hoang, R. Hofmann

arxiv:hep-ph/0206201 v2 · 2002-06-21 · 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{54MHNT274FMCMPFWKIT3YPSL6A}

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	2026-05-18T03:24:29.308605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1876cf5fe158263cb65227bc3e4bf0272c657d06cbb44376cb357db1a26579

Aliases

arxiv: hep-ph/0206201 · arxiv_version: hep-ph/0206201v2 · doi: 10.48550/arxiv.hep-ph/0206201 · pith_short_12: 54MHNT274FMC · pith_short_16: 54MHNT274FMCMPFW · pith_short_8: 54MHNT27

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/54MHNT274FMCMPFWKIT3YPSL6A \
  | 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: ef1876cf5fe158263cb65227bc3e4bf0272c657d06cbb44376cb357db1a26579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab42317e4ff8657a74ae90407f2bbc78b70a48d482cd8f9edc73af1acd5931fe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-06-21T09:53:25Z",
    "title_canon_sha256": "e31ea8e4aa8353e536e4955695c26a595751c9be12b173c641d0acef111a1d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0206201",
    "kind": "arxiv",
    "version": 2
  }
}