Pith Number

pith:7PJAXN77

pith:2010:7PJAXN77WCDO6O7BVNKYBOZCHY

not attested not anchored not stored refs pending

Jensen divergence based on Fisher's information

A. Zarzo, J.S. Dehesa, P. S\'anchez-Moreno

arxiv:1012.5041 v1 · 2010-12-22 · cs.IT · math.IT · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PJAXN77WCDO6O7BVNKYBOZCHY}

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	2026-05-18T03:37:09.282443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbd20bb7ffb086ef3be1ab5580bb223e35513d219224628deb811b5e2f4513f5

Aliases

arxiv: 1012.5041 · arxiv_version: 1012.5041v1 · doi: 10.48550/arxiv.1012.5041 · pith_short_12: 7PJAXN77WCDO · pith_short_16: 7PJAXN77WCDO6O7B · pith_short_8: 7PJAXN77

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/7PJAXN77WCDO6O7BVNKYBOZCHY \
  | 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: fbd20bb7ffb086ef3be1ab5580bb223e35513d219224628deb811b5e2f4513f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c7755035101dfb2a5243688abb1bdff04b8d1f2c6fa30716ed6d76cdff9ff99",
    "cross_cats_sorted": [
      "math.IT",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-12-22T17:15:17Z",
    "title_canon_sha256": "13247983589ed76b9b0fae7c71a59b74b164d7d9d011fae20022bd8e4e768edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5041",
    "kind": "arxiv",
    "version": 1
  }
}