Pith Number

pith:PEQ5W6WG

pith:2012:PEQ5W6WGHJWXNVZJKIGMYJEZSF

not attested not anchored not stored refs pending

On normalizers of $C^{*}$-subalgebras in the Cuntz algebra $\mathcal{O}_{n}$

Tomohiro Hayashi

arxiv:1201.5195 v1 · 2012-01-25 · 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{PEQ5W6WGHJWXNVZJKIGMYJEZSF}

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	2026-05-18T04:03:55.361196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7921db7ac63a6d76d729520ccc2499915cd60ac730f2478af32d93545cd8aecd

Aliases

arxiv: 1201.5195 · arxiv_version: 1201.5195v1 · doi: 10.48550/arxiv.1201.5195 · pith_short_12: PEQ5W6WGHJWX · pith_short_16: PEQ5W6WGHJWXNVZJ · pith_short_8: PEQ5W6WG

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/PEQ5W6WGHJWXNVZJKIGMYJEZSF \
  | 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: 7921db7ac63a6d76d729520ccc2499915cd60ac730f2478af32d93545cd8aecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a73116a7b97429acbe2a0b58c9f962adc4e52e04671b8db0adea3141f4fc883a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-25T06:59:00Z",
    "title_canon_sha256": "f514be47a7124d07c6574cc261b345f34a68ddcc92d2e3d28d79101294106b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5195",
    "kind": "arxiv",
    "version": 1
  }
}