Pith Number

pith:RMMOWXDW

pith:2020:RMMOWXDWU5FZYI4VPCOJNLGMPM

not attested not anchored not stored refs pending

On Gaussian Approximation for M-Estimator

Masaaki Imaizumi, Taisuke Otsu

arxiv:2012.15678 v3 · 2020-12-31 · 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{RMMOWXDWU5FZYI4VPCOJNLGMPM}

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	2026-07-05T11:59:40.466883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b18eb5c76a74b9c2395789c96accc7b1cd49b995648e2ebda8d92e08e511186

Aliases

arxiv: 2012.15678 · arxiv_version: 2012.15678v3 · doi: 10.48550/arxiv.2012.15678 · pith_short_12: RMMOWXDWU5FZ · pith_short_16: RMMOWXDWU5FZYI4V · pith_short_8: RMMOWXDW

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/RMMOWXDWU5FZYI4VPCOJNLGMPM \
  | 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: 8b18eb5c76a74b9c2395789c96accc7b1cd49b995648e2ebda8d92e08e511186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0154ad80930f49f400454aa6b7cc0062a32dac0f6d9f01b9ab16b913693dc4e5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-12-31T15:56:45Z",
    "title_canon_sha256": "6212e85cddf9df384dd5dbbb90830e3dbb2d653d46958e3baa0a739f8a4ed607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15678",
    "kind": "arxiv",
    "version": 3
  }
}