Pith Number

pith:UTOCLELV

pith:2011:UTOCLELV5GSXF5EOWWUFNKM2JR

not attested not anchored not stored refs pending

Characterizations of all-derivable points in nest algebras

Jun Zhu, Sha Zhao

arxiv:1107.1931 v1 · 2011-07-11 · 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{UTOCLELV5GSXF5EOWWUFNKM2JR}

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	2026-05-18T04:18:33.850064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4dc259175e9a572f48eb5a856a99a4c40c0882b31436def348703c833d56886

Aliases

arxiv: 1107.1931 · arxiv_version: 1107.1931v1 · doi: 10.48550/arxiv.1107.1931 · pith_short_12: UTOCLELV5GSX · pith_short_16: UTOCLELV5GSXF5EO · pith_short_8: UTOCLELV

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/UTOCLELV5GSXF5EOWWUFNKM2JR \
  | 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: a4dc259175e9a572f48eb5a856a99a4c40c0882b31436def348703c833d56886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e640815280128474994a54f25bc6c1abd0281c646e27f73327a6d9d80b5949f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-11T03:49:17Z",
    "title_canon_sha256": "715ade33ee4b7f3e3a24ac8fe208413b5b35b2a9c5102fc93fc7c4bf4fa90270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1931",
    "kind": "arxiv",
    "version": 1
  }
}