Pith Number

pith:XAMYMG7F

pith:2011:XAMYMG7FYEYP22UL44YTPZXBGR

not attested not anchored not stored refs pending

Almost normal operators mod Hilbert-Schmidt and the K-theory of the Banach algebras $E\Lambda(\Omega)$

Dan-Virgil Voiculescu

arxiv:1112.4930 v2 · 2011-12-21 · math.OA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAMYMG7FYEYP22UL44YTPZXBGR}

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	2026-05-18T04:05:46.731816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b819861be5c130fd6a8be73137e6e134794e47ebb2a490989d19e69bdc7bbede

Aliases

arxiv: 1112.4930 · arxiv_version: 1112.4930v2 · doi: 10.48550/arxiv.1112.4930 · pith_short_12: XAMYMG7FYEYP · pith_short_16: XAMYMG7FYEYP22UL · pith_short_8: XAMYMG7F

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/XAMYMG7FYEYP22UL44YTPZXBGR \
  | 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: b819861be5c130fd6a8be73137e6e134794e47ebb2a490989d19e69bdc7bbede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "075d6f83689241779c66661e46132f723f9fb33cd75893090a17565afd46aa29",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-21T06:33:08Z",
    "title_canon_sha256": "583bfede318607e9e3bb0349426bfefda69416c68c89a0b8badff78e7bb90f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4930",
    "kind": "arxiv",
    "version": 2
  }
}