Pith Number

pith:D3CNR2T3

pith:2022:D3CNR2T3X3JGP7UHBCIH2J6SWJ

not attested not anchored not stored refs pending

Adaptative clustering by minimization of the mixing entropy criterion

FP2M, Modal'x), Thierry Dumont (UPN

arxiv:2203.11517 v1 · 2022-03-22 · math.ST · stat.ME · stat.ML · 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{D3CNR2T3X3JGP7UHBCIH2J6SWJ}

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	2026-07-05T04:07:13.089776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec4d8ea7bbed267fe8708907d27d2b2424e8d17a35d5c883acae3b7a8c68bf5

Aliases

arxiv: 2203.11517 · arxiv_version: 2203.11517v1 · doi: 10.48550/arxiv.2203.11517 · pith_short_12: D3CNR2T3X3JG · pith_short_16: D3CNR2T3X3JGP7UH · pith_short_8: D3CNR2T3

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/D3CNR2T3X3JGP7UHBCIH2J6SWJ \
  | 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: 1ec4d8ea7bbed267fe8708907d27d2b2424e8d17a35d5c883acae3b7a8c68bf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a716e798234913e8c5921c65cf1023fe9d491ccea1cf40df1bb1d03df4fb7ab",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-03-22T07:47:02Z",
    "title_canon_sha256": "2421a80e3a743e815603bab4b22fdd27e38197fbe3d30cfb05aa4b6ed05fd769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.11517",
    "kind": "arxiv",
    "version": 1
  }
}