Pith Number

pith:CYOCGVIY

pith:1999:CYOCGVIYJUHGXZUX5CGIGQKRIU

not attested not anchored not stored refs pending

Composite operators from the operator product expansion: what can go wrong?

Andrea Montanari, Andrea Pelissetto, Sergio Caracciolo

arxiv:hep-lat/9909105 v1 · 1999-09-13 · hep-lat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYOCGVIYJUHGXZUX5CGIGQKRIU}

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	2026-05-18T01:39:10.745781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

161c2355184d0e6be697e88c83415145141313c8366891148b05d017b8f1be04

Aliases

arxiv: hep-lat/9909105 · arxiv_version: hep-lat/9909105v1 · doi: 10.48550/arxiv.hep-lat/9909105 · pith_short_12: CYOCGVIYJUHG · pith_short_16: CYOCGVIYJUHGXZUX · pith_short_8: CYOCGVIY

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/CYOCGVIYJUHGXZUX5CGIGQKRIU \
  | 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: 161c2355184d0e6be697e88c83415145141313c8366891148b05d017b8f1be04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ae5f81b73c8f7b936a258bbb42b57e1bdb4998c2be5bd6afdd1c4e59f80d52",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "1999-09-13T15:13:44Z",
    "title_canon_sha256": "6b9f39c15e1e076fef0cb2542e64373415a905f89b6e94ed874baedfc3c7bd47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/9909105",
    "kind": "arxiv",
    "version": 1
  }
}