Pith Number

pith:7LEEV6SZ

pith:1992:7LEEV6SZOTA3UMOZVQVROQKWCR

not attested not anchored not stored refs pending

A quantum-group-like structure on noncommutative 2-tori

Andreas Cap, Hermann Schichl, Peter W. Michor

arxiv:math/9212209 v1 · 1992-12-01 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LEEV6SZOTA3UMOZVQVROQKWCR}

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	2026-05-18T01:05:52.414596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac84afa5974c1ba31d9ac2b174156145a05baf97cb619787f47ece9f03d9d87

Aliases

arxiv: math/9212209 · arxiv_version: math/9212209v1 · doi: 10.48550/arxiv.math/9212209 · pith_short_12: 7LEEV6SZOTA3 · pith_short_16: 7LEEV6SZOTA3UMOZ · pith_short_8: 7LEEV6SZ

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/7LEEV6SZOTA3UMOZVQVROQKWCR \
  | 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: fac84afa5974c1ba31d9ac2b174156145a05baf97cb619787f47ece9f03d9d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b066ae698d5b2c124e55257a5d23f11053ebca47de27ece0685a2bf1ee3fe204",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1992-12-01T00:00:00Z",
    "title_canon_sha256": "d959d49213a5ff20e5eafc00ae444c4e4cdfa0590b12d1e727091bef71a6751f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9212209",
    "kind": "arxiv",
    "version": 1
  }
}