Pith Number

pith:ZBGNNWC6

pith:2010:ZBGNNWC6V3BLRRICB4EH6KH2N2

not attested not anchored not stored refs pending

Asymptotic minimax risk of predictive density estimation for non-parametric regression

Feng Liang, Xinyi Xu

arxiv:1010.2064 v1 · 2010-10-11 · 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{ZBGNNWC6V3BLRRICB4EH6KH2N2}

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	2026-05-18T04:39:29.773790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c84cd6d85eaec2b8c5020f087f28fa6ea0f5e343d6152482933d7378ae279116

Aliases

arxiv: 1010.2064 · arxiv_version: 1010.2064v1 · doi: 10.48550/arxiv.1010.2064 · pith_short_12: ZBGNNWC6V3BL · pith_short_16: ZBGNNWC6V3BLRRIC · pith_short_8: ZBGNNWC6

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/ZBGNNWC6V3BLRRICB4EH6KH2N2 \
  | 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: c84cd6d85eaec2b8c5020f087f28fa6ea0f5e343d6152482933d7378ae279116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dac87c85b40e40830a86d174023445a3327db239264f40f82de7d9dca5b0cd2",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-10-11T11:13:59Z",
    "title_canon_sha256": "970ab8370b14bb404d761e3b7054254756a5dabc9411233ff0d73c7607254c7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2064",
    "kind": "arxiv",
    "version": 1
  }
}