Pith Number

pith:4HMFEV4M

pith:2015:4HMFEV4MPXWN5HRMG322YM6YRY

not attested not anchored not stored refs pending

Universal Approximation of Markov Kernels by Shallow Stochastic Feedforward Networks

Guido Montufar

arxiv:1503.07211 v1 · 2015-03-24 · 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{4HMFEV4MPXWN5HRMG322YM6YRY}

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	2026-05-18T02:20:28.063904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d852578c7decde9e2c36f5ac33d88e02de7d35630086524da7815fa6d840d8

Aliases

arxiv: 1503.07211 · arxiv_version: 1503.07211v1 · doi: 10.48550/arxiv.1503.07211 · pith_short_12: 4HMFEV4MPXWN · pith_short_16: 4HMFEV4MPXWN5HRM · pith_short_8: 4HMFEV4M

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/4HMFEV4MPXWN5HRMG322YM6YRY \
  | 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: e1d852578c7decde9e2c36f5ac33d88e02de7d35630086524da7815fa6d840d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14480c34dc109478550abfa9d7ec37949d62edb2cd59064c3fc7835ff6d246f1",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-03-24T21:38:59Z",
    "title_canon_sha256": "9d9569b6752aa232e548b2f5594f4782dc0e2d25d8ceef0e9a93895e259e1b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07211",
    "kind": "arxiv",
    "version": 1
  }
}