Pith Number

pith:NB3KKPMF

pith:2015:NB3KKPMFR5JSED6WVTKQH77OFX

not attested not anchored not stored refs pending

A Note on the Kullback-Leibler Divergence for the von Mises-Fisher distribution

Tom Diethe

arxiv:1502.07104 v1 · 2015-02-25 · 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{NB3KKPMFR5JSED6WVTKQH77OFX}

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.

Cited by

1 paper in Pith

Polaris: Coupled Orbital Polar Embeddings for Hierarchical Concept Learning

Receipt and verification

First computed	2026-05-18T02:26:11.843574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6876a53d858f53220fd6acd503ffee2df56f9c274d4db14e6efed203ed975b02

Aliases

arxiv: 1502.07104 · arxiv_version: 1502.07104v1 · doi: 10.48550/arxiv.1502.07104 · pith_short_12: NB3KKPMFR5JS · pith_short_16: NB3KKPMFR5JSED6W · pith_short_8: NB3KKPMF

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/NB3KKPMFR5JSED6WVTKQH77OFX \
  | 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: 6876a53d858f53220fd6acd503ffee2df56f9c274d4db14e6efed203ed975b02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d90ae41144f5e2752ed9c34b40149489a360d4e665fb4b1645bd3eca8646b941",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-02-25T10:08:34Z",
    "title_canon_sha256": "9c74f029642d34879f2b3b2be38c041b6057cf35069ef99a04892539cfce5838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07104",
    "kind": "arxiv",
    "version": 1
  }
}