Pith Number

pith:ZRGA7ZYV

pith:2014:ZRGA7ZYVQPW2Y2BEPAVHPNVQZO

not attested not anchored not stored refs pending

Distance to normal elements in $C^*$-algebras of real rank zero

Ilya Kachkovskiy, Yuri Safarov

arxiv:1403.2021 v3 · 2014-03-09 · math.OA · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRGA7ZYVQPW2Y2BEPAVHPNVQZO}

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	2026-05-18T02:26:39.215682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4c0fe71583edac6824782a77b6b0cbb09930e8a2c4f8b1cd9ac41d540c7483

Aliases

arxiv: 1403.2021 · arxiv_version: 1403.2021v3 · doi: 10.48550/arxiv.1403.2021 · pith_short_12: ZRGA7ZYVQPW2 · pith_short_16: ZRGA7ZYVQPW2Y2BE · pith_short_8: ZRGA7ZYV

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/ZRGA7ZYVQPW2Y2BEPAVHPNVQZO \
  | 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: cc4c0fe71583edac6824782a77b6b0cbb09930e8a2c4f8b1cd9ac41d540c7483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb7e9e6eab5d974c7e56c42ff6a0fc9bd6180beffb0dee2b69597e7210fe9cf",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-03-09T01:05:18Z",
    "title_canon_sha256": "932ab5cc88fc56da1f9f86118aa8544df509db0e108dc13826c9c9000e52b81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2021",
    "kind": "arxiv",
    "version": 3
  }
}