Pith Number

pith:AJI23EH7

pith:2014:AJI23EH72YP53KRN4VBOCU6MPS

not attested not anchored not stored refs pending

Unbiased Estimators for Entropy and Class Number

Stephen Montgomery-Smith, T. Sch\"urmann

arxiv:1410.5002 v1 · 2014-10-18 · 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{AJI23EH72YP53KRN4VBOCU6MPS}

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	2026-05-18T02:39:47.241978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0251ad90ffd61fddaa2de542e153cc7c86453d226d0e77b0c3406fbdbc8ff2b3

Aliases

arxiv: 1410.5002 · arxiv_version: 1410.5002v1 · doi: 10.48550/arxiv.1410.5002 · pith_short_12: AJI23EH72YP5 · pith_short_16: AJI23EH72YP53KRN · pith_short_8: AJI23EH7

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/AJI23EH72YP53KRN4VBOCU6MPS \
  | 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: 0251ad90ffd61fddaa2de542e153cc7c86453d226d0e77b0c3406fbdbc8ff2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a149a9e73c5e31afe0235dc990358ffcb8ca9d67b97a37d0b42cc9b32df98f1",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-10-18T20:42:33Z",
    "title_canon_sha256": "d8e2324c478cf67e8e7aeaad170d5f19dde1ad94565e2d895a83104f7b76e424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5002",
    "kind": "arxiv",
    "version": 1
  }
}