Pith Number

pith:XMBBTNXO

pith:2019:XMBBTNXOCTA66AI5NJGIR6NYYF

not attested not anchored not stored refs pending

Deep neural network approximations for Monte Carlo algorithms

Arnulf Jentzen, Diyora Salimova, Philipp Grohs

arxiv:1908.10828 v1 · 2019-08-28 · math.NA · cs.LG · cs.NA · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMBBTNXOCTA66AI5NJGIR6NYYF}

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

Deep neural network approximation theory for high-dimensional functions

Receipt and verification

First computed	2026-07-05T04:35:32.622646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0219b6ee14c1ef011d6a4c88f9b8c16e0f9ee554f8ec06c480faa27effa0bf

Aliases

arxiv: 1908.10828 · arxiv_version: 1908.10828v1 · doi: 10.48550/arxiv.1908.10828 · pith_short_12: XMBBTNXOCTA6 · pith_short_16: XMBBTNXOCTA66AI5 · pith_short_8: XMBBTNXO

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/XMBBTNXOCTA66AI5NJGIR6NYYF \
  | 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: bb0219b6ee14c1ef011d6a4c88f9b8c16e0f9ee554f8ec06c480faa27effa0bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f823b37b69f83969f138e38dd98dd155bf05d4f4e14c4742c1c0af4a8af15a1",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-28T16:57:17Z",
    "title_canon_sha256": "073463d462f722491e7d91370eb85187fa0e0e5c2780da6641585ace74136db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10828",
    "kind": "arxiv",
    "version": 1
  }
}