Pith Number

pith:X32UHVJE

pith:2011:X32UHVJEC2OME7I24KFDHAKB7O

not attested not anchored not stored refs pending

Morita "equivalences" of equivariant torus spectral triples

Jan Jitse Venselaar

arxiv:1112.6102 v2 · 2011-12-28 · math.OA · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X32UHVJEC2OME7I24KFDHAKB7O}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:03:18.945698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bef543d524169cc27d1ae28a338141fb89ec38e807c64ead2c78ab44be469e20

Aliases

arxiv: 1112.6102 · arxiv_version: 1112.6102v2 · doi: 10.48550/arxiv.1112.6102 · pith_short_12: X32UHVJEC2OM · pith_short_16: X32UHVJEC2OME7I2 · pith_short_8: X32UHVJE

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/X32UHVJEC2OME7I24KFDHAKB7O \
  | 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: bef543d524169cc27d1ae28a338141fb89ec38e807c64ead2c78ab44be469e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c3d290772846f20edb15d543a3f2fa574340ec6df86cd45f765cdbd117eec9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-28T11:24:32Z",
    "title_canon_sha256": "a6583c3b00d539e19d86be3b4d85c090d6922d9a9fcd61a13ae14b4d8922247c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6102",
    "kind": "arxiv",
    "version": 2
  }
}