Pith Number

pith:IFGAL24A

pith:2012:IFGAL24AYHBS5QUNYVVKAGIWM6

not attested not anchored not stored refs pending

Exact Sample Size Methods for Estimating Parameters of Discrete Distributions

Xinjia Chen, Zhengjia Chen

arxiv:1211.1912 v3 · 2012-11-08 · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFGAL24AYHBS5QUNYVVKAGIWM6}

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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	2026-05-18T03:40:35.655253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

414c05eb80c1c32ec28dc56aa019166780cee7a53838e525ce7106c871253679

Aliases

arxiv: 1211.1912 · arxiv_version: 1211.1912v3 · doi: 10.48550/arxiv.1211.1912 · pith_short_12: IFGAL24AYHBS · pith_short_16: IFGAL24AYHBS5QUN · pith_short_8: IFGAL24A

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/IFGAL24AYHBS5QUNYVVKAGIWM6 \
  | 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: 414c05eb80c1c32ec28dc56aa019166780cee7a53838e525ce7106c871253679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad880db4f5497f942cb76842f014f7dd34fda3c0de6355e3cf0558c342d28aff",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-11-08T17:24:26Z",
    "title_canon_sha256": "32c4153e1df1c38c1ad92df8197517be03715ec6049527ff9253cf5fc4973d0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1912",
    "kind": "arxiv",
    "version": 3
  }
}