Pith Number

pith:LCMK3YDU

pith:2012:LCMK3YDUB2AON4D4Q32DBZTIM4

not attested not anchored not stored refs pending

Skew-symmetric distributions and Fisher information -- a tale of two densities

Christophe Ley, Marc Hallin

arxiv:1207.0282 v1 · 2012-07-02 · 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{LCMK3YDUB2AON4D4Q32DBZTIM4}

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	2026-05-18T03:51:59.730964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5898ade0740e80e6f07c86f430e66867268e72b7b225de9aa5ed0aa0ed72a431

Aliases

arxiv: 1207.0282 · arxiv_version: 1207.0282v1 · doi: 10.48550/arxiv.1207.0282 · pith_short_12: LCMK3YDUB2AO · pith_short_16: LCMK3YDUB2AON4D4 · pith_short_8: LCMK3YDU

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/LCMK3YDUB2AON4D4Q32DBZTIM4 \
  | 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: 5898ade0740e80e6f07c86f430e66867268e72b7b225de9aa5ed0aa0ed72a431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac0a3277a23c99c1853646060110100c9c4207940b959de11545619b7c13c520",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-07-02T05:40:54Z",
    "title_canon_sha256": "11b2389d5375b8fd93b2abcb48c06807078c458fdcbb619082f4efa70e8198e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0282",
    "kind": "arxiv",
    "version": 1
  }
}