Pith Number

pith:NG4QW2NT

pith:2019:NG4QW2NTLVVA3VZPQ6APTKVA6P

not attested not anchored not stored refs pending

A Wrapped Normal Distribution on Hyperbolic Space for Gradient-Based Learning

Masanori Koyama, Shoichiro Yamaguchi, Yasuhiro Fujita, Yoshihiro Nagano

arxiv:1902.02992 v2 · 2019-02-08 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NG4QW2NTLVVA3VZPQ6APTKVA6P}

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	2026-05-17T23:46:35.859937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b90b69b35d6a0dd72f8780f9aaa0f3e9f3c6a5737f420443c0c8f8114ba4fe

Aliases

arxiv: 1902.02992 · arxiv_version: 1902.02992v2 · doi: 10.48550/arxiv.1902.02992 · pith_short_12: NG4QW2NTLVVA · pith_short_16: NG4QW2NTLVVA3VZP · pith_short_8: NG4QW2NT

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/NG4QW2NTLVVA3VZPQ6APTKVA6P \
  | 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: 69b90b69b35d6a0dd72f8780f9aaa0f3e9f3c6a5737f420443c0c8f8114ba4fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25114c499cb63c240543064170c72e336d8f52570e487abf6bf7e6b2750ecb11",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-02-08T09:42:06Z",
    "title_canon_sha256": "2f55c3eba1c37db47ad7d24ed75fa43e1f0544ba5ddd46146e1180026556a96e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02992",
    "kind": "arxiv",
    "version": 2
  }
}