Pith Number

pith:VAIZJUQQ

pith:2001:VAIZJUQQIFNIFVHZFIG26IPUCK

not attested not anchored not stored refs pending

Classification theorems for the C*-algebras of graphs with sinks

Dana P. Williams, Iain Raeburn, Mark Tomforde

arxiv:math/0103039 v2 · 2001-03-06 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAIZJUQQIFNIFVHZFIG26IPUCK}

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	2026-07-04T14:35:06.501792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81194d210415a82d4f92a0daf21f4129ef7fc995b518a930de24a2910bc4b4e

Aliases

arxiv: math/0103039 · arxiv_version: math/0103039v2 · doi: 10.48550/arxiv.math/0103039 · pith_short_12: VAIZJUQQIFNI · pith_short_16: VAIZJUQQIFNIFVHZ · pith_short_8: VAIZJUQQ

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/VAIZJUQQIFNIFVHZFIG26IPUCK \
  | 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: a81194d210415a82d4f92a0daf21f4129ef7fc995b518a930de24a2910bc4b4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e8d973b907db05c9ce9ad95493836680122272c735dbd117fb7fb795e9454a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2001-03-06T20:38:55Z",
    "title_canon_sha256": "52fbe79b4e482300d313d2879d81c92be53257404a1e24e7d7d9036b5e1583a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103039",
    "kind": "arxiv",
    "version": 2
  }
}