Pith Number

pith:3XHRA4PH

pith:2015:3XHRA4PHGSIH746SZPE5D2QI7M

not attested not anchored not stored refs pending

Maximum entropy distribution of order statistics with given marginals

Anne Dutfoy, Cristina Butucea, Jean-Fran\c{c}ois Delmas, Richard Fischer

arxiv:1509.02019 v1 · 2015-09-07 · 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{3XHRA4PHGSIH746SZPE5D2QI7M}

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	2026-05-18T01:33:49.917410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddcf1071e734907ff3d2cbc9d1ea08fb0fcf95316cb49dd6203190bb885f673b

Aliases

arxiv: 1509.02019 · arxiv_version: 1509.02019v1 · doi: 10.48550/arxiv.1509.02019 · pith_short_12: 3XHRA4PHGSIH · pith_short_16: 3XHRA4PHGSIH746S · pith_short_8: 3XHRA4PH

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/3XHRA4PHGSIH746SZPE5D2QI7M \
  | 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: ddcf1071e734907ff3d2cbc9d1ea08fb0fcf95316cb49dd6203190bb885f673b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0ad0a07c0e092e0fecd43743a7e6743560e75bcf57aec022173efca09e033c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-09-07T13:01:14Z",
    "title_canon_sha256": "ead6c3403d7c6e497d360e8ae11c46d4fe621f5e1e999eed41147c356d5bc0bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02019",
    "kind": "arxiv",
    "version": 1
  }
}