Pith Number

pith:UFQVPD3T

pith:2023:UFQVPD3TQJDLLP64QWIDJ33YW5

not attested not anchored not stored refs pending

Mathematical Introduction to Deep Learning: Methods, Implementations, and Theory

Arnulf Jentzen, Benno Kuckuck, Philippe von Wurstemberger

arxiv:2310.20360 v3 · 2023-10-31 · cs.LG · cs.AI · cs.NA · math.NA · math.PR · 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{UFQVPD3TQJDLLP64QWIDJ33YW5}

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

2 papers in Pith

Central limit theorem for the averaged Adam optimizer

Algorithmically Designed Artificial Neural Networks (ADANNs): Higher order deep operator learning for parametric partial differential equations

Receipt and verification

First computed	2026-07-05T11:37:41.394140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a161578f738246b5bfdc859034ef78b745c7ad2b1e496c031d1e09ee6b46780f

Aliases

arxiv: 2310.20360 · arxiv_version: 2310.20360v3 · doi: 10.48550/arxiv.2310.20360 · pith_short_12: UFQVPD3TQJDL · pith_short_16: UFQVPD3TQJDLLP64 · pith_short_8: UFQVPD3T

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/UFQVPD3TQJDLLP64QWIDJ33YW5 \
  | 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: a161578f738246b5bfdc859034ef78b745c7ad2b1e496c031d1e09ee6b46780f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fec3a6230dccf78fdb3b66c007285cf3ba1501e8216108868625dfa087d5557a",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-31T11:01:23Z",
    "title_canon_sha256": "2a0e360bb832d8b0c72d7cd9540def2a7af3340162a1a44dac850588fbaee9ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.20360",
    "kind": "arxiv",
    "version": 3
  }
}