Pith Number

pith:GP4SDFF6

pith:2006:GP4SDFF6PTDMVVZZZA3TOM5INQ

not attested not anchored not stored refs pending

The behavior of the NPMLE of a decreasing density near the boundaries of the support

Hendrik P. Lopuha\"a, Vladimir N. Kulikov

arxiv:math/0607015 v1 · 2006-07-01 · 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{GP4SDFF6PTDMVVZZZA3TOM5INQ}

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	2026-05-18T01:08:50.128349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f92194be7cc6cad739c8373733a86c187ae5a026013ee789cd6ded17a027fb

Aliases

arxiv: math/0607015 · arxiv_version: math/0607015v1 · doi: 10.48550/arxiv.math/0607015 · pith_short_12: GP4SDFF6PTDM · pith_short_16: GP4SDFF6PTDMVVZZ · pith_short_8: GP4SDFF6

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/GP4SDFF6PTDMVVZZZA3TOM5INQ \
  | 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: 33f92194be7cc6cad739c8373733a86c187ae5a026013ee789cd6ded17a027fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f0e57e419e6750d6ea25df60a64b9b892afb340bd48e403c2cdd770f79b3e5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-07-01T11:07:05Z",
    "title_canon_sha256": "e5a93db07c01ecf4047afcc8b1f1552c81e9ffe23f0dc0c29dd52f51f391b940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607015",
    "kind": "arxiv",
    "version": 1
  }
}