Pith Number

pith:DQLDGWFA

pith:2019:DQLDGWFARMDWZPVJVHARNYM52R

not attested not anchored not stored refs pending

On the approximation of rough functions with deep neural networks

Deep Ray, Siddhartha Mishra, Tim De Ryck

arxiv:1912.06732 v2 · 2019-12-13 · math.NA · cs.LG · cs.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{DQLDGWFARMDWZPVJVHARNYM52R}

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	2026-07-05T01:41:16.058142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c163358a08b076cbea9a9c116e19dd46d913b9c85f36833aa869604bc5f05be

Aliases

arxiv: 1912.06732 · arxiv_version: 1912.06732v2 · doi: 10.48550/arxiv.1912.06732 · pith_short_12: DQLDGWFARMDW · pith_short_16: DQLDGWFARMDWZPVJ · pith_short_8: DQLDGWFA

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/DQLDGWFARMDWZPVJVHARNYM52R \
  | 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: 1c163358a08b076cbea9a9c116e19dd46d913b9c85f36833aa869604bc5f05be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd4316c76ca40f7ad454bf5a39f4b75135726fbde63ac12453dcc7a360996ac8",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-12-13T22:48:36Z",
    "title_canon_sha256": "14df8cb300b1ff14c3d0c3cd5fa6cfd1666aefa405f3b20136654a2165fae3f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.06732",
    "kind": "arxiv",
    "version": 2
  }
}