Pith Number

pith:JCYQT5OG

pith:2016:JCYQT5OGJ3QMXRMUK4VHLI3DAK

not attested not anchored not stored refs pending

From discrete to continuous monotone $C^*$-algebras via quantum central limit theorems

Francesco Fidaleo, Vitonofrio Crismale, Yun Gang Lu

arxiv:1612.09414 v1 · 2016-12-30 · math.PR · 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{JCYQT5OGJ3QMXRMUK4VHLI3DAK}

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	2026-05-18T00:53:41.573807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b109f5c64ee0cbc594572a75a36302ac6f788791363c16f6e27d67d84dedd5

Aliases

arxiv: 1612.09414 · arxiv_version: 1612.09414v1 · doi: 10.48550/arxiv.1612.09414 · pith_short_12: JCYQT5OGJ3QM · pith_short_16: JCYQT5OGJ3QMXRMU · pith_short_8: JCYQT5OG

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/JCYQT5OGJ3QMXRMUK4VHLI3DAK \
  | 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: 48b109f5c64ee0cbc594572a75a36302ac6f788791363c16f6e27d67d84dedd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33fba672a125bf73e13e280e188ebf1cd3e1e9355e290fa2c480377e40436068",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-30T07:55:31Z",
    "title_canon_sha256": "567d758eb3ef5bcf634fce9fed95477707605ffc5edbd1edf3812b85a538ec23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09414",
    "kind": "arxiv",
    "version": 1
  }
}