Pith Number

pith:664OGVQJ

pith:2019:664OGVQJZXKQLLFAZJWEMQNXBW

not attested not anchored not stored refs pending

Neural tangent kernels, transportation mappings, and universal approximation

Matus Telgarsky, Ruicheng Xian, Ziwei Ji

arxiv:1910.06956 v2 · 2019-10-15 · 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{664OGVQJZXKQLLFAZJWEMQNXBW}

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	2026-07-05T00:40:59.514224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7b8e35609cdd505aca0ca6c4641b70d9bac56a3f1f4f99cfb28fbe1e129cf0d

Aliases

arxiv: 1910.06956 · arxiv_version: 1910.06956v2 · doi: 10.48550/arxiv.1910.06956 · pith_short_12: 664OGVQJZXKQ · pith_short_16: 664OGVQJZXKQLLFA · pith_short_8: 664OGVQJ

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/664OGVQJZXKQLLFAZJWEMQNXBW \
  | 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: f7b8e35609cdd505aca0ca6c4641b70d9bac56a3f1f4f99cfb28fbe1e129cf0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b74c773601851bb9463c003883b935d5180f3f90461c07a2279b22dcd8829d",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-10-15T17:52:49Z",
    "title_canon_sha256": "447918c314960a454875437ce1a807a129209085101e4085b2e2f93983dada66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.06956",
    "kind": "arxiv",
    "version": 2
  }
}