Pith Number

pith:HCO7XGMM

pith:2010:HCO7XGMMIVH4IGYDB2GKU5ANXG

not attested not anchored not stored refs pending

On the estimation of smooth densities by strict probability densities at optimal rates in sup-norm

Evarist Gin\'e, Hailin Sang

arxiv:1006.0971 v3 · 2010-06-04 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCO7XGMMIVH4IGYDB2GKU5ANXG}

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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	2026-05-18T03:26:32.767547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

389dfb998c454fc41b030e8caa740db989e5ca9c1870aaf3636c112307137202

Aliases

arxiv: 1006.0971 · arxiv_version: 1006.0971v3 · doi: 10.48550/arxiv.1006.0971 · pith_short_12: HCO7XGMMIVH4 · pith_short_16: HCO7XGMMIVH4IGYD · pith_short_8: HCO7XGMM

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/HCO7XGMMIVH4IGYDB2GKU5ANXG \
  | 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: 389dfb998c454fc41b030e8caa740db989e5ca9c1870aaf3636c112307137202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c590898142bdbbcfa0e7bf1964ec7844b38abeb3c43b38ba111433e7583b25e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-06-04T19:52:25Z",
    "title_canon_sha256": "e3adc7ae162ceb52b148a5ba1dfc5b9d5039f0d6e2c56a23771b1cd4a799e747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0971",
    "kind": "arxiv",
    "version": 3
  }
}