Pith Number

pith:T5XE3HB4

pith:2020:T5XE3HB4NVLGV7UOBKLILEZXNJ

not attested not anchored not stored refs pending

Towards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't

Chao Ma, Lei Wu, Stephan Wojtowytsch, Weinan E

arxiv:2009.10713 v3 · 2020-09-22 · cs.LG · cs.NA · math.NA · 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{T5XE3HB4NVLGV7UOBKLILEZXNJ}

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	2026-07-05T01:57:54.588973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f6e4d9c3c6d566afe8e0a968593376a7bb9d6747857d1b5fc529bc205be9f8b

Aliases

arxiv: 2009.10713 · arxiv_version: 2009.10713v3 · doi: 10.48550/arxiv.2009.10713 · pith_short_12: T5XE3HB4NVLG · pith_short_16: T5XE3HB4NVLGV7UO · pith_short_8: T5XE3HB4

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/T5XE3HB4NVLGV7UOBKLILEZXNJ \
  | 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: 9f6e4d9c3c6d566afe8e0a968593376a7bb9d6747857d1b5fc529bc205be9f8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbed85fec3aec40b4249c607d0040c3062f97e47e9c039f27f22d416a575ac01",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-09-22T17:55:47Z",
    "title_canon_sha256": "09941b47b17617527a10fb378f2c9567d39c0b67604be3821668ff2758451f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.10713",
    "kind": "arxiv",
    "version": 3
  }
}