Pith Number

pith:5Z4XVD24

pith:2010:5Z4XVD24KDTBONINEXNUECKK4O

not attested not anchored not stored refs pending

Multipliers and Hereditary Subalgebras of Operator Algebras

Damon M. Hay

arxiv:1010.1788 v1 · 2010-10-08 · 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{5Z4XVD24KDTBONINEXNUECKK4O}

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	2026-05-18T04:39:38.509829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee797a8f5c50e617350d25db42094ae3a39f4cd53dd7be58e8f4386c041af220

Aliases

arxiv: 1010.1788 · arxiv_version: 1010.1788v1 · doi: 10.48550/arxiv.1010.1788 · pith_short_12: 5Z4XVD24KDTB · pith_short_16: 5Z4XVD24KDTBONIN · pith_short_8: 5Z4XVD24

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/5Z4XVD24KDTBONINEXNUECKK4O \
  | 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: ee797a8f5c50e617350d25db42094ae3a39f4cd53dd7be58e8f4386c041af220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85e59aeca716b3749081791ea197010235f1029e2fb792056a6f36264df013b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-10-08T21:36:27Z",
    "title_canon_sha256": "bd96675da78c7dbd839478c183d29420de811d6a2bae74b710b8fa8a668f9cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1788",
    "kind": "arxiv",
    "version": 1
  }
}