Pith Number

pith:4ABQLEMI

pith:2011:4ABQLEMIUQAU5T5XQUAFQG43OP

not attested not anchored not stored refs pending

New characterizations of the Letac-Mora class of real cubic natural exponential families

Abdelhamid Hassairi, Marwa Hamza

arxiv:1108.2788 v1 · 2011-08-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ABQLEMIUQAU5T5XQUAFQG43OP}

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	2026-05-18T04:15:35.621688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e003059188a4014ecfb78500581b9b73d652f0793856166863db6b4a950417dc

Aliases

arxiv: 1108.2788 · arxiv_version: 1108.2788v1 · doi: 10.48550/arxiv.1108.2788 · pith_short_12: 4ABQLEMIUQAU · pith_short_16: 4ABQLEMIUQAU5T5X · pith_short_8: 4ABQLEMI

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/4ABQLEMIUQAU5T5XQUAFQG43OP \
  | 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: e003059188a4014ecfb78500581b9b73d652f0793856166863db6b4a950417dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c98e258db2fb791360bbd0616bdf7b4d82d5b1153f9151f2ba149d1bcd06d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-13T13:13:31Z",
    "title_canon_sha256": "fe729a678b6db8d4b3488ce7c9eadad524ba8b148193a5eb2001907b02e075fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2788",
    "kind": "arxiv",
    "version": 1
  }
}