Pith Number

pith:N32WC6KK

pith:1999:N32WC6KKJ2NO2H5MCZXKHMWLA2

not attested not anchored not stored refs pending

Shortening of primary operators in N-extended SCFT_4 and harmonic-superspace analyticity

B. Zupnik, E. Sokatchev, L. Andrianopoli, S. Ferrara

arxiv:hep-th/9912007 v3 · 1999-12-01 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N32WC6KKJ2NO2H5MCZXKHMWLA2}

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.

Cited by

1 paper in Pith

The OPE Approach to Renormalization: Operator Mixing

Receipt and verification

First computed	2026-07-04T14:49:04.866220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef561794a4e9aed1fac166ea3b2cb068491fd142953ceeb3350e2846e31cce9

Aliases

arxiv: hep-th/9912007 · arxiv_version: hep-th/9912007v3 · doi: 10.48550/arxiv.hep-th/9912007 · pith_short_12: N32WC6KKJ2NO · pith_short_16: N32WC6KKJ2NO2H5M · pith_short_8: N32WC6KK

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/N32WC6KKJ2NO2H5MCZXKHMWLA2 \
  | 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: 6ef561794a4e9aed1fac166ea3b2cb068491fd142953ceeb3350e2846e31cce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e97b0f13b4267e95d8943227d746c6dba4d78901e61c09f778cf8c22edc869f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-12-01T16:47:55Z",
    "title_canon_sha256": "fd64baab1879f48f925873acd46d76cd96be6b54e7f2e8a89ae995d282bc622b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9912007",
    "kind": "arxiv",
    "version": 3
  }
}