Pith Number

pith:I5DRBCE7

pith:2013:I5DRBCE7MJRWMBYYCX6NMIR3QW

not attested not anchored not stored refs pending

Which multiplier algebras are $W^*$-algebras?

Charles A. Akemann, Massoud Amini, Mohammad B. Asadi

arxiv:1304.7453 v1 · 2013-04-28 · 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{I5DRBCE7MJRWMBYYCX6NMIR3QW}

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	2026-05-18T03:26:53.934449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

474710889f626366071815fcd6223b85ba6c3de75a43fe1385634add1d5f8e6d

Aliases

arxiv: 1304.7453 · arxiv_version: 1304.7453v1 · doi: 10.48550/arxiv.1304.7453 · pith_short_12: I5DRBCE7MJRW · pith_short_16: I5DRBCE7MJRWMBYY · pith_short_8: I5DRBCE7

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/I5DRBCE7MJRWMBYYCX6NMIR3QW \
  | 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: 474710889f626366071815fcd6223b85ba6c3de75a43fe1385634add1d5f8e6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb4aa5384436c757983f29dbd71ceddfa8c2249cd6e934a14dbb83779f80ac46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-04-28T10:54:52Z",
    "title_canon_sha256": "348e249a97119ee3e8b601a506a7d4849622cbcb8f7d7f70c6f3995af5813944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7453",
    "kind": "arxiv",
    "version": 1
  }
}