Pith Number

pith:4CHB6OGJ

pith:2018:4CHB6OGJDCCP7LSSWIELYAY5CO

not attested not anchored not stored refs pending

Geometry and clustering with metrics derived from separable Bregman divergences

Erika Gomes-Gon\c{c}alves, Frank Nielsen, Henryk Gzyl

arxiv:1810.10770 v1 · 2018-10-25 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CHB6OGJDCCP7LSSWIELYAY5CO}

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	2026-05-18T00:02:19.704848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08e1f38c91884ffae52b208bc031d138a7002eb463795acdfa377f3f3732e4e

Aliases

arxiv: 1810.10770 · arxiv_version: 1810.10770v1 · doi: 10.48550/arxiv.1810.10770 · pith_short_12: 4CHB6OGJDCCP · pith_short_16: 4CHB6OGJDCCP7LSS · pith_short_8: 4CHB6OGJ

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/4CHB6OGJDCCP7LSSWIELYAY5CO \
  | 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: e08e1f38c91884ffae52b208bc031d138a7002eb463795acdfa377f3f3732e4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7654a0513f926adae7d057de737066e2cec1fa6cbf18e388129636a5e2ee9352",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-10-25T08:41:24Z",
    "title_canon_sha256": "024b9a9edb677100b35a15cee7bb6c1440cb828f318109e5cf7c4ff858f6f41a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10770",
    "kind": "arxiv",
    "version": 1
  }
}