Pith Number

pith:YC5QBGOI

pith:2002:YC5QBGOIOFOMCMAGJEFHGKOZH3

not attested not anchored not stored refs pending

Dirac Operator on the Standard Podles Quantum Sphere

Andrzej Sitarz, Ludwik Dabrowski

arxiv:math/0209048 v3 · 2002-09-05 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YC5QBGOIOFOMCMAGJEFHGKOZH3}

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	2026-05-18T03:41:20.530271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0bb0099c8715cc13006490a7329d93ef3f3d5de21a0880ee8a89266f5dd21d2

Aliases

arxiv: math/0209048 · arxiv_version: math/0209048v3 · doi: 10.48550/arxiv.math/0209048 · pith_short_12: YC5QBGOIOFOM · pith_short_16: YC5QBGOIOFOMCMAG · pith_short_8: YC5QBGOI

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/YC5QBGOIOFOMCMAGJEFHGKOZH3 \
  | 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: c0bb0099c8715cc13006490a7329d93ef3f3d5de21a0880ee8a89266f5dd21d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19b6c6041c5a67471d20336697a56d84932bde9aba7be39a7a6d73118c3620bb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-09-05T09:49:33Z",
    "title_canon_sha256": "1d7d46ff53528cfdf9745419265e2faa5eb82611c9242f5b87a7ce8e247bd1e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209048",
    "kind": "arxiv",
    "version": 3
  }
}