Pith Number

pith:2VABDMOT

pith:2008:2VABDMOTFGGYSTH3KH2IE5W2AN

not attested not anchored not stored refs pending

Compactness properties of operator multipliers

I. G. Todorov, K. Juschenko, L. Turowska, R. H. Levene

arxiv:0809.2158 v1 · 2008-09-12 · math.OA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VABDMOTFGGYSTH3KH2IE5W2AN}

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	2026-05-18T02:27:57.514073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54011b1d3298d894cfb51f48276da035f7ced871d65b806d177031cde96232f

Aliases

arxiv: 0809.2158 · arxiv_version: 0809.2158v1 · doi: 10.48550/arxiv.0809.2158 · pith_short_12: 2VABDMOTFGGY · pith_short_16: 2VABDMOTFGGYSTH3 · pith_short_8: 2VABDMOT

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/2VABDMOTFGGYSTH3KH2IE5W2AN \
  | 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: d54011b1d3298d894cfb51f48276da035f7ced871d65b806d177031cde96232f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b72ac541fab077af6483ad894e1c90fb9445e6c12ee6689aa5c1b2e5d8a873b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-09-12T08:54:55Z",
    "title_canon_sha256": "c8b84fb6bf2337e5c4e29256838bf3acdc56f59a2385b669e7060a1ed20129cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2158",
    "kind": "arxiv",
    "version": 1
  }
}