Pith Number

pith:EFFTAKMQ

pith:2001:EFFTAKMQ7N73UVVOFD4NVEOZM4

not attested not anchored not stored refs pending

A unified approach to Exel-Laca algebras and C*-algebras associated to graphs

Mark Tomforde

arxiv:math/0106161 v2 · 2001-06-19 · 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{EFFTAKMQ7N73UVVOFD4NVEOZM4}

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	2026-07-04T14:35:23.630703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

214b302990fb7fba56ae28f8da91d967382393b3bfb37864321ef20319068b0f

Aliases

arxiv: math/0106161 · arxiv_version: math/0106161v2 · doi: 10.48550/arxiv.math/0106161 · pith_short_12: EFFTAKMQ7N73 · pith_short_16: EFFTAKMQ7N73UVVO · pith_short_8: EFFTAKMQ

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/EFFTAKMQ7N73UVVOFD4NVEOZM4 \
  | 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: 214b302990fb7fba56ae28f8da91d967382393b3bfb37864321ef20319068b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62704b9d5f60b9c72e476ae69dddd35f741acda077bf1aa298173fb15f76d24b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2001-06-19T17:50:09Z",
    "title_canon_sha256": "1809a16e14baebebe9e4ee0be8dec761c3d11e67b40e5153aee13f93f2061bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106161",
    "kind": "arxiv",
    "version": 2
  }
}