Pith Number

pith:VVYBOJAV

pith:2010:VVYBOJAVUH4KSGKVPFBDNNZE5J

not attested not anchored not stored refs pending

On Type II noncommutative geometry and the JLO character

Alan Lai

arxiv:1003.4226 v2 · 2010-03-22 · math-ph · math.KT · math.MP · 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{VVYBOJAVUH4KSGKVPFBDNNZE5J}

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	2026-05-18T04:38:50.604939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad70172415a1f8a91955794236b724ea420dc89630313020bbf40405b8e0a951

Aliases

arxiv: 1003.4226 · arxiv_version: 1003.4226v2 · doi: 10.48550/arxiv.1003.4226 · pith_short_12: VVYBOJAVUH4K · pith_short_16: VVYBOJAVUH4KSGKV · pith_short_8: VVYBOJAV

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/VVYBOJAVUH4KSGKVPFBDNNZE5J \
  | 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: ad70172415a1f8a91955794236b724ea420dc89630313020bbf40405b8e0a951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4a4324e6aa39b2246d80c2959ca52417c351ca998991681acd06197c68be006",
    "cross_cats_sorted": [
      "math.KT",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-22T17:46:55Z",
    "title_canon_sha256": "e13bafb9d750831ba05339c0363af2a9f60712497c3bb537e2b46efcb1c26497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4226",
    "kind": "arxiv",
    "version": 2
  }
}