Pith Number

pith:H7RK3QRX

pith:2011:H7RK3QRXE477T4TTNPCA5RGSRX

not attested not anchored not stored refs pending

Invariances in variance estimates

D. Cordero-Erausquin, F. Barthe

arxiv:1106.5985 v1 · 2011-06-29 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7RK3QRXE477T4TTNPCA5RGSRX}

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	2026-05-18T02:58:00.779330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe2adc237273ff9f2736bc40ec4d28dcd2d20717934e6823be77d88900d10c3

Aliases

arxiv: 1106.5985 · arxiv_version: 1106.5985v1 · doi: 10.48550/arxiv.1106.5985 · pith_short_12: H7RK3QRXE477 · pith_short_16: H7RK3QRXE477T4TT · pith_short_8: H7RK3QRX

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/H7RK3QRXE477T4TTNPCA5RGSRX \
  | 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: 3fe2adc237273ff9f2736bc40ec4d28dcd2d20717934e6823be77d88900d10c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a34cf28d4f3a034a971651594ff23bc8aca724f1a3cc013b4650ee73eedc3587",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-29T16:09:45Z",
    "title_canon_sha256": "7508ec4a3b134ef39088011a79215f51509dd90cc3d8ef70c5cf96177b656a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5985",
    "kind": "arxiv",
    "version": 1
  }
}