Pith Number

pith:4BMVOXCS

pith:2013:4BMVOXCSLUVVCMPD3RFNLJ4JWN

not attested not anchored not stored refs pending

On conformal divergences and their population minimizers

Frank Nielsen, Richard Nock, Shun-ichi Amari

arxiv:1311.5125 v2 · 2013-11-20 · 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{4BMVOXCSLUVVCMPD3RFNLJ4JWN}

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	2026-05-18T01:55:43.355606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e059575c525d2b5131e3dc4ad5a789b36a6b25d29bba1437bb5cae5843e1ddd1

Aliases

arxiv: 1311.5125 · arxiv_version: 1311.5125v2 · doi: 10.48550/arxiv.1311.5125 · pith_short_12: 4BMVOXCSLUVV · pith_short_16: 4BMVOXCSLUVVCMPD · pith_short_8: 4BMVOXCS

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/4BMVOXCSLUVVCMPD3RFNLJ4JWN \
  | 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: e059575c525d2b5131e3dc4ad5a789b36a6b25d29bba1437bb5cae5843e1ddd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36668b15e0dc15159b2ce28230e5b60211a29e0133379006edb22cef4fe738aa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-20T16:28:42Z",
    "title_canon_sha256": "64dbea3737fbfdbb7991d19c91ee13ee87381ddb0f802c8bcb9c9345a3497f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5125",
    "kind": "arxiv",
    "version": 2
  }
}