Pith Number

pith:32PU5JWD

pith:1997:32PU5JWD6F6JNQN4KVPBADLQT6

not attested not anchored not stored refs pending

Quasi-exactly Solvable Lie Superalgebras of Differential Operators

Artemio Gonz\'alez-L\'opez, Federico Finkel, Madrid), Miguel A. Rodr\'iguez (Depto. F\'isica Te\'orica II, U. Complutense

arxiv:physics/9702015 v1 · 1997-02-17 · math-ph · hep-th · math.MP · quant-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{32PU5JWD6F6JNQN4KVPBADLQT6}

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	2026-05-18T01:09:14.548347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9f4ea6c3f17c96c1bc555e100d709f94e73647c2a73f0e233aec927bd33c50

Aliases

arxiv: physics/9702015 · arxiv_version: physics/9702015v1 · doi: 10.48550/arxiv.physics/9702015 · pith_short_12: 32PU5JWD6F6J · pith_short_16: 32PU5JWD6F6JNQN4 · pith_short_8: 32PU5JWD

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/32PU5JWD6F6JNQN4KVPBADLQT6 \
  | 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: de9f4ea6c3f17c96c1bc555e100d709f94e73647c2a73f0e233aec927bd33c50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d7af9122241f2cf652b1cb82e345567bed0f73dc00c86b8cce41892fbbee867",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1997-02-17T13:46:47Z",
    "title_canon_sha256": "a989b37ea47953341ec39122ae35685dd5a2ad2ee4afbf7d017038c08ca197e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9702015",
    "kind": "arxiv",
    "version": 1
  }
}