Pith Number

pith:2W5GISCT

pith:2010:2W5GISCTUKPI3RYB6J2UFSBYHX

not attested not anchored not stored refs pending

The C*-algebra of a Single Invertible Element

Will Grilliette

arxiv:1101.0286 v2 · 2010-12-31 · 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{2W5GISCTUKPI3RYB6J2UFSBYHX}

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	2026-05-18T04:11:51.694563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5ba644853a29e8dc701f27542c8383dfad60d8897bd8976250a2990e713ad02

Aliases

arxiv: 1101.0286 · arxiv_version: 1101.0286v2 · doi: 10.48550/arxiv.1101.0286 · pith_short_12: 2W5GISCTUKPI · pith_short_16: 2W5GISCTUKPI3RYB · pith_short_8: 2W5GISCT

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/2W5GISCTUKPI3RYB6J2UFSBYHX \
  | 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: d5ba644853a29e8dc701f27542c8383dfad60d8897bd8976250a2990e713ad02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b1d22954c2105c23f484016802b8476413c48655a828ab97a29f26430983cb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-12-31T18:43:00Z",
    "title_canon_sha256": "c4ae8eff9da4c740745955fe1119a8956681ec94b9ef0090298542d3c9432915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0286",
    "kind": "arxiv",
    "version": 2
  }
}