Pith Number

pith:RRZFXGUK

pith:2016:RRZFXGUKPXRBKY4WZ3XFQDAXDY

not attested not anchored not stored refs pending

Generalization of the de Bruijn's identity to general $\phi$-entropies and $\phi$-Fisher informations

Irene Valero Toranzo, Jean-Marc Brossier, Steeve Zozor

arxiv:1611.09400 v1 · 2016-11-28 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRZFXGUKPXRBKY4WZ3XFQDAXDY}

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	2026-05-18T00:56:18.676308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c725b9a8a7de2156396ceee580c171e23eb0e168b29972bfa39005ef909e415

Aliases

arxiv: 1611.09400 · arxiv_version: 1611.09400v1 · doi: 10.48550/arxiv.1611.09400 · pith_short_12: RRZFXGUKPXRB · pith_short_16: RRZFXGUKPXRBKY4W · pith_short_8: RRZFXGUK

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/RRZFXGUKPXRBKY4WZ3XFQDAXDY \
  | 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: 8c725b9a8a7de2156396ceee580c171e23eb0e168b29972bfa39005ef909e415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be11e812b909916251d189c710d198bb1c6f6b98039b4868db624697b34a6f9e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-28T21:48:33Z",
    "title_canon_sha256": "67f97097f9681c7d46b1d2de66e28e6a71d30c0f27944fc60d7c3fa92e269064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09400",
    "kind": "arxiv",
    "version": 1
  }
}