Pith Number

pith:EKNEAREA

pith:2012:EKNEAREABWZZ67OGEOJL4Y3L5E

not attested not anchored not stored refs pending

Elementary Proofs of Grothendieck Theorems for Completely Bounded Norms

Oded Regev, Thomas Vidick

arxiv:1206.4025 v1 · 2012-06-18 · math.OA · math.FA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EKNEAREABWZZ67OGEOJL4Y3L5E}

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	2026-05-18T03:53:18.121157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

229a4044800db39f7dc62392be636be91880453815e2f7b95ddeeee971f3f3ac

Aliases

arxiv: 1206.4025 · arxiv_version: 1206.4025v1 · doi: 10.48550/arxiv.1206.4025 · pith_short_12: EKNEAREABWZZ · pith_short_16: EKNEAREABWZZ67OG · pith_short_8: EKNEAREA

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/EKNEAREABWZZ67OGEOJL4Y3L5E \
  | 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: 229a4044800db39f7dc62392be636be91880453815e2f7b95ddeeee971f3f3ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "201242b9ffba17115dc11067210d5bdfcf2f65d0fc9b3f293055ff85d035af86",
    "cross_cats_sorted": [
      "math.FA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-06-18T19:30:45Z",
    "title_canon_sha256": "2a43f942d5707d3a7f4482389ffb56534c377ef6365e182cdd5bc8312b98e69a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4025",
    "kind": "arxiv",
    "version": 1
  }
}