Pith Number

pith:YU52GHFM

pith:2011:YU52GHFM7HJUTRP6XBOQX7RR7B

not attested not anchored not stored refs pending

C*-algebras of separated graphs

K. R. Goodearl, P. Ara

arxiv:1102.4296 v2 · 2011-02-21 · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YU52GHFM7HJUTRP6XBOQX7RR7B}

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	2026-05-18T04:18:34.504660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c53ba31cacf9d349c5feb85d0bfe31f862ba062e09dc44329f2ee8fe172d1af5

Aliases

arxiv: 1102.4296 · arxiv_version: 1102.4296v2 · doi: 10.48550/arxiv.1102.4296 · pith_short_12: YU52GHFM7HJU · pith_short_16: YU52GHFM7HJUTRP6 · pith_short_8: YU52GHFM

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/YU52GHFM7HJUTRP6XBOQX7RR7B \
  | 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: c53ba31cacf9d349c5feb85d0bfe31f862ba062e09dc44329f2ee8fe172d1af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273093e4fe821c2efe5f433ac5d0d1e2a5d56f265a07e3ea83778ae836c15bfa",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-02-21T18:12:14Z",
    "title_canon_sha256": "84926b3b574f7b260b0d44c972b80101820937d79ca86e8b29e799f7acdeffa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4296",
    "kind": "arxiv",
    "version": 2
  }
}