Pith Number

pith:2ZZNA6GS

pith:2008:2ZZNA6GS25DFOFZGGDXOQERRRK

not attested not anchored not stored refs pending

Principal noncommutative torus bundles

Herve Oyono-Oyono, Ryszard Nest, Siegfried Echterhoff

arxiv:0810.0111 v1 · 2008-10-01 · 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{2ZZNA6GS25DFOFZGGDXOQERRRK}

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	2026-05-18T02:58:11.123154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d672d078d2d74657172630eee812318a8f8c162aa5dd3f0ac3972643d3372668

Aliases

arxiv: 0810.0111 · arxiv_version: 0810.0111v1 · doi: 10.48550/arxiv.0810.0111 · pith_short_12: 2ZZNA6GS25DF · pith_short_16: 2ZZNA6GS25DFOFZG · pith_short_8: 2ZZNA6GS

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/2ZZNA6GS25DFOFZGGDXOQERRRK \
  | 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: d672d078d2d74657172630eee812318a8f8c162aa5dd3f0ac3972643d3372668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34530b0b60f52be732e8e7e9d126080452f092a0e29fb4d633c1f6c20d4ee71a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2008-10-01T09:42:22Z",
    "title_canon_sha256": "5c1193c63ec1593bb629dd12715ccbd6dc0d2488e80397da0acea888e33fba6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0111",
    "kind": "arxiv",
    "version": 1
  }
}