Pith Number

pith:5JENFIEN

pith:2019:5JENFIENRZEY6RGUQEPLKZLMHM

not attested not anchored not stored refs pending

On power chi expansions of $f$-divergences

Frank Nielsen, Ga\"etan Hadjeres

arxiv:1903.05818 v1 · 2019-03-14 · cs.IT · cs.LG · 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{5JENFIENRZEY6RGUQEPLKZLMHM}

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	2026-05-17T23:51:16.091360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea48d2a08d8e498f44d4811eb5656c3b17a58306878c965bdfc659a5a41db6dc

Aliases

arxiv: 1903.05818 · arxiv_version: 1903.05818v1 · doi: 10.48550/arxiv.1903.05818 · pith_short_12: 5JENFIENRZEY · pith_short_16: 5JENFIENRZEY6RGU · pith_short_8: 5JENFIEN

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/5JENFIENRZEY6RGUQEPLKZLMHM \
  | 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: ea48d2a08d8e498f44d4811eb5656c3b17a58306878c965bdfc659a5a41db6dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf6fbc33c83eb8d8428099508017d0bc7911d8c083917c22157d6ac38c6814de",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-03-14T05:14:58Z",
    "title_canon_sha256": "e1f50915a9e1edeb93e8932649ac5d13db2e19960c1bf450d07d9b1218c6bddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05818",
    "kind": "arxiv",
    "version": 1
  }
}