Pith Number

pith:IJ4CGUSP

pith:2013:IJ4CGUSPNUJHVJ2U2TVSZALEVG

not attested not anchored not stored refs pending

Double commutants of multiplication operators on $C(K).$

Arkady Kitover

arxiv:1305.6286 v1 · 2013-05-27 · 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{IJ4CGUSPNUJHVJ2U2TVSZALEVG}

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	2026-05-18T03:24:51.683498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

427823524f6d127aa754d4eb2c8164a9af116376736302be10a90f0141f6bf18

Aliases

arxiv: 1305.6286 · arxiv_version: 1305.6286v1 · doi: 10.48550/arxiv.1305.6286 · pith_short_12: IJ4CGUSPNUJH · pith_short_16: IJ4CGUSPNUJHVJ2U · pith_short_8: IJ4CGUSP

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/IJ4CGUSPNUJHVJ2U2TVSZALEVG \
  | 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: 427823524f6d127aa754d4eb2c8164a9af116376736302be10a90f0141f6bf18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d114496c406f36c2bb5211facf8cccf28ded8d18ec6d7a1798fee2b8864dd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-05-27T18:23:43Z",
    "title_canon_sha256": "ee1ed34e3ed36133223c4cc95bf2d1a4439580c7bf7e5370b1a3e8236ca3b61d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6286",
    "kind": "arxiv",
    "version": 1
  }
}