Pith Number

pith:5CRDYH3S

pith:2013:5CRDYH3SOGBDVVXWXVQGGS5OH4

not attested not anchored not stored refs pending

The generalized lognormal distribution and the Stieltjes moment problem

Christian Kleiber

arxiv:1301.1277 v1 · 2013-01-07 · math.PR · stat.OT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CRDYH3SOGBDVVXWXVQGGS5OH4}

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	2026-05-18T01:08:32.782418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8a23c1f7271823ad6f6bd60634bae3f3a0d05bb48caaba0f3350d2dbe62af0f

Aliases

arxiv: 1301.1277 · arxiv_version: 1301.1277v1 · doi: 10.48550/arxiv.1301.1277 · pith_short_12: 5CRDYH3SOGBD · pith_short_16: 5CRDYH3SOGBDVVXW · pith_short_8: 5CRDYH3S

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/5CRDYH3SOGBDVVXWXVQGGS5OH4 \
  | 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: e8a23c1f7271823ad6f6bd60634bae3f3a0d05bb48caaba0f3350d2dbe62af0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981420968e6ddf4d854c42f7ab721e2a98d63ea200df4acb0630485dfd3db42c",
    "cross_cats_sorted": [
      "stat.OT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-07T17:37:50Z",
    "title_canon_sha256": "f3c46c2b9c54ee1b49b93a5bbd6e4562bb7fa8e430fbd1bed3b9702c8ac5fb9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1277",
    "kind": "arxiv",
    "version": 1
  }
}