Pith Number

pith:AYGB36QK

pith:2007:AYGB36QK7LBQPIYOVWZ3GAD6LT

not attested not anchored not stored refs pending

Adaptive Optimal Nonparametric Regression and Density Estimation Based on Fourier-Legendre Expansion

E. Ostrovsky, Y. Zelikov

arxiv:0706.0881 v1 · 2007-06-06 · math.ST · math.SP · 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{AYGB36QK7LBQPIYOVWZ3GAD6LT}

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	2026-05-18T04:28:28.515528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060c1dfa0afac307a30eadb3b3007e5cc6fea9ed015eefe0150624663a8d2075

Aliases

arxiv: 0706.0881 · arxiv_version: 0706.0881v1 · doi: 10.48550/arxiv.0706.0881 · pith_short_12: AYGB36QK7LBQ · pith_short_16: AYGB36QK7LBQPIYO · pith_short_8: AYGB36QK

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/AYGB36QK7LBQPIYOVWZ3GAD6LT \
  | 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: 060c1dfa0afac307a30eadb3b3007e5cc6fea9ed015eefe0150624663a8d2075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3d4c1e79f7d154f167b4c76b9f25b518509a76672eae4bde164c1524056136",
    "cross_cats_sorted": [
      "math.SP",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2007-06-06T18:03:02Z",
    "title_canon_sha256": "6a383d05311444f677a0e6d2bc82b31614c1754e5a1ff89ff2dbd3f6110e5d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0881",
    "kind": "arxiv",
    "version": 1
  }
}