Pith Number

pith:LL2F7AS4

pith:2015:LL2F7AS4RHQ5SPWH32J4PM37X7

not attested not anchored not stored refs pending

Sample dependence in the maximum entropy solution to the generalized moment problem

Henryk Gzyl

arxiv:1510.04062 v1 · 2015-10-14 · 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{LL2F7AS4RHQ5SPWH32J4PM37X7}

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	2026-05-18T01:30:09.363118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af45f825c89e1d93ec7de93c7b37fbfd658101ba9448ec609493e27ca13ac88

Aliases

arxiv: 1510.04062 · arxiv_version: 1510.04062v1 · doi: 10.48550/arxiv.1510.04062 · pith_short_12: LL2F7AS4RHQ5 · pith_short_16: LL2F7AS4RHQ5SPWH · pith_short_8: LL2F7AS4

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/LL2F7AS4RHQ5SPWH32J4PM37X7 \
  | 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: 5af45f825c89e1d93ec7de93c7b37fbfd658101ba9448ec609493e27ca13ac88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a4233106aad8e226f97a01d3c11a110a2b62224787c73b050aec59f5bba7d4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-10-14T12:31:54Z",
    "title_canon_sha256": "c71a31db389bae6ad830a75db96c0595f842278e8ff3757b01c32be4ae7cdd02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04062",
    "kind": "arxiv",
    "version": 1
  }
}