Pith Number

pith:2FE7M76C

pith:2006:2FE7M76CM3JJHZNZEKRFUTTRME

not attested not anchored not stored refs pending

Lower bounds and aggregation in density estimation

Guillaume Lecu\'e (PMA)

arxiv:math/0603448 v1 · 2006-03-18 · 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{2FE7M76CM3JJHZNZEKRFUTTRME}

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	2026-05-18T01:08:50.431046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d149f67fc266d293e5b922a25a4e716106f4851f61edd7c311740bcf1f0734e8

Aliases

arxiv: math/0603448 · arxiv_version: math/0603448v1 · doi: 10.48550/arxiv.math/0603448 · pith_short_12: 2FE7M76CM3JJ · pith_short_16: 2FE7M76CM3JJHZNZ · pith_short_8: 2FE7M76C

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/2FE7M76CM3JJHZNZEKRFUTTRME \
  | 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: d149f67fc266d293e5b922a25a4e716106f4851f61edd7c311740bcf1f0734e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe7d10e6fa4f82930278b234c812d5bf9d382abf14c6f8f5bb88c3c6ac7a709",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-03-18T06:52:49Z",
    "title_canon_sha256": "056329d5a93e40f177c22a0c1fe9c7a98f010032fc7390c79c7863b26b978460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603448",
    "kind": "arxiv",
    "version": 1
  }
}