Pith Number

pith:ZQBTBVSI

pith:2000:ZQBTBVSI55OXS42MD7YZNXXEJO

not attested not anchored not stored refs pending

On von Neumann spectral triples

M-T. Benameur, T. Fack

arxiv:math/0012233 v4 · 2000-12-22 · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQBTBVSI55OXS42MD7YZNXXEJO}

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	2026-05-18T04:23:33.433931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc0330d648ef5d79734c1ff196dee44bb8a10239fb40dae95a0b558cf478e622

Aliases

arxiv: math/0012233 · arxiv_version: math/0012233v4 · doi: 10.48550/arxiv.math/0012233 · pith_short_12: ZQBTBVSI55OX · pith_short_16: ZQBTBVSI55OXS42M · pith_short_8: ZQBTBVSI

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/ZQBTBVSI55OXS42MD7YZNXXEJO \
  | 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: cc0330d648ef5d79734c1ff196dee44bb8a10239fb40dae95a0b558cf478e622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d87cc55634181e8d208bd1f9bbac124ef0e9c5c2604b3e58d797de2770318765",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2000-12-22T13:19:10Z",
    "title_canon_sha256": "e8ea2a7b81d759bdfd32f62a40601be570e0c4c7e0684becdc59ce9c8793b964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012233",
    "kind": "arxiv",
    "version": 4
  }
}