Pith Number

pith:ZLP3IFRM

pith:2012:ZLP3IFRMI3IIESNYSCGNVELD74

not attested not anchored not stored refs pending

KMS states on Nica-Toeplitz algebras of product systems

Jeong Hee Hong, Nadia S. Larsen, Wojciech Szyma\'nski

arxiv:1202.4594 v3 · 2012-02-21 · 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{ZLP3IFRMI3IIESNYSCGNVELD74}

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	2026-05-18T03:50:50.236451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cadfb4162c46d08249b8908cda9163ff3fa2c7738b06c47cf009befdd2ec4faa

Aliases

arxiv: 1202.4594 · arxiv_version: 1202.4594v3 · doi: 10.48550/arxiv.1202.4594 · pith_short_12: ZLP3IFRMI3II · pith_short_16: ZLP3IFRMI3IIESNY · pith_short_8: ZLP3IFRM

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/ZLP3IFRMI3IIESNYSCGNVELD74 \
  | 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: cadfb4162c46d08249b8908cda9163ff3fa2c7738b06c47cf009befdd2ec4faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d015727bdfee4910d87b0cf0f777f74a78a7d7818c270da012247002fa9a998",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-02-21T11:00:00Z",
    "title_canon_sha256": "4264b2a544e99be2e7f5bc6b7ead5585d83165683c258e8b34bccae2085abb6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4594",
    "kind": "arxiv",
    "version": 3
  }
}