Pith Number

pith:H6ZCF4PP

pith:2002:H6ZCF4PPMQNLR27AK7RX4ZKT2J

not attested not anchored not stored refs pending

Reshuffling the OPE: Delocalized Operator Expansion

Ralf Hofmann

arxiv:hep-ph/0207341 v1 · 2002-07-29 · 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{H6ZCF4PPMQNLR27AK7RX4ZKT2J}

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	2026-05-18T00:36:56.818971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb222f1ef641ab8ebe057e37e6553d263cd589eef1967453b618813a81a2b5c

Aliases

arxiv: hep-ph/0207341 · arxiv_version: hep-ph/0207341v1 · doi: 10.48550/arxiv.hep-ph/0207341 · pith_short_12: H6ZCF4PPMQNL · pith_short_16: H6ZCF4PPMQNLR27A · pith_short_8: H6ZCF4PP

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/H6ZCF4PPMQNLR27AK7RX4ZKT2J \
  | 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: 3fb222f1ef641ab8ebe057e37e6553d263cd589eef1967453b618813a81a2b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b61be321b0d1609bd0e240aad053fcff41b4d5ef6e915d50e14083ed6d1e576",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-07-29T14:20:26Z",
    "title_canon_sha256": "e31ea8e4aa8353e536e4955695c26a595751c9be12b173c641d0acef111a1d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0207341",
    "kind": "arxiv",
    "version": 1
  }
}