Pith Number

pith:3L4LUWY4

pith:2015:3L4LUWY4U547OWJVY44KYBHSI5

not attested not anchored not stored refs pending

Minimax rates for finite mixture estimation

Jonas Kahn, Philippe Heinrich

arxiv:1504.03506 v1 · 2015-04-14 · 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{3L4LUWY4U547OWJVY44KYBHSI5}

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	2026-05-18T02:18:50.695069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf8ba5b1ca779f75935c738ac04f2476952243d72a19d2f946c341d7f74a579

Aliases

arxiv: 1504.03506 · arxiv_version: 1504.03506v1 · doi: 10.48550/arxiv.1504.03506 · pith_short_12: 3L4LUWY4U547 · pith_short_16: 3L4LUWY4U547OWJV · pith_short_8: 3L4LUWY4

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/3L4LUWY4U547OWJVY44KYBHSI5 \
  | 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: daf8ba5b1ca779f75935c738ac04f2476952243d72a19d2f946c341d7f74a579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55bbcf41d866e0a374cb47c66f22ef61066ffa99d52063b610a2b86fde4919d0",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-04-14T12:03:27Z",
    "title_canon_sha256": "7f9b75f0975a3eae05992743968f50c362ac7716bf1f361dea4367a6f3d9bcfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03506",
    "kind": "arxiv",
    "version": 1
  }
}