Pith Number

pith:4ZJ7TQNR

pith:2004:4ZJ7TQNRJ3TYDKPVCTKTZKPR76

not attested not anchored not stored refs pending

Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)

R. B. Zhang, V. K. Dobrev

arxiv:hep-th/0402039 v3 · 2004-02-05 · hep-th · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZJ7TQNRJ3TYDKPVCTKTZKPR76}

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	2026-05-18T03:42:34.363816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e653f9c1b14ee781a9f514d53ca9f1ff8956e1115fbb7a8e47679a3d9541db09

Aliases

arxiv: hep-th/0402039 · arxiv_version: hep-th/0402039v3 · doi: 10.48550/arxiv.hep-th/0402039 · pith_short_12: 4ZJ7TQNRJ3TY · pith_short_16: 4ZJ7TQNRJ3TYDKPV · pith_short_8: 4ZJ7TQNR

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/4ZJ7TQNRJ3TYDKPVCTKTZKPR76 \
  | 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: e653f9c1b14ee781a9f514d53ca9f1ff8956e1115fbb7a8e47679a3d9541db09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88458624f6ce2626b8dcd5dc2c96fd51a1d52d1ebad4c6df56bd557b6bf910f7",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2004-02-05T13:00:02Z",
    "title_canon_sha256": "96aa28dc7b10ce129da9040288aa79ec42336c01980d2891ceada088ff1b351f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0402039",
    "kind": "arxiv",
    "version": 3
  }
}