Pith Number

pith:MOKX2U26

pith:2005:MOKX2U262YDFAD72Y62MO22ALP

not attested not anchored not stored refs pending

Adaptive density estimation under dependence

Ir\`ene Gannaz (LJK), Olivier Wintenberger (CES, Samos)

arxiv:math/0510311 v3 · 2005-10-14 · 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{MOKX2U262YDFAD72Y62MO22ALP}

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	2026-05-18T04:26:44.066961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63957d535ed606500ffac7b4c76b405be214a571bb09bfeeb8238bac3269af9c

Aliases

arxiv: math/0510311 · arxiv_version: math/0510311v3 · doi: 10.48550/arxiv.math/0510311 · pith_short_12: MOKX2U262YDF · pith_short_16: MOKX2U262YDFAD72 · pith_short_8: MOKX2U26

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/MOKX2U262YDFAD72Y62MO22ALP \
  | 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: 63957d535ed606500ffac7b4c76b405be214a571bb09bfeeb8238bac3269af9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e91402810513df1143ecafcc3c8e42c3321a099abb000b0dca049dec4398ac",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2005-10-14T19:26:59Z",
    "title_canon_sha256": "97b3e7863e267392059b2633e3cbfb482b3a8e675928a6f772d286cdf7a6a23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510311",
    "kind": "arxiv",
    "version": 3
  }
}