Pith Number

pith:ZP2SIIQ4

pith:2020:ZP2SIIQ4SJREY6RFLO5TF52RWX

not attested not anchored not stored refs pending

Deep Network Approximation for Smooth Functions

Haizhao Yang, Jianfeng Lu, Shijun Zhang, Zuowei Shen

arxiv:2001.03040 v8 · 2020-01-09 · 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{ZP2SIIQ4SJREY6RFLO5TF52RWX}

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	2026-07-05T03:27:54.523653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf524221c92624c7a255bbb32f751b5d6bb26fc12b02f38d186d26ffb7ed15c

Aliases

arxiv: 2001.03040 · arxiv_version: 2001.03040v8 · doi: 10.48550/arxiv.2001.03040 · pith_short_12: ZP2SIIQ4SJRE · pith_short_16: ZP2SIIQ4SJREY6RF · pith_short_8: ZP2SIIQ4

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/ZP2SIIQ4SJREY6RFLO5TF52RWX \
  | 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: cbf524221c92624c7a255bbb32f751b5d6bb26fc12b02f38d186d26ffb7ed15c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ded6c00ab58348ef8d89a912ce3b7eb4495b2c1606c7b1a716d0461012013d16",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-01-09T15:06:10Z",
    "title_canon_sha256": "cb0b088fc7dc0572a0c3b3fe8b103927c50e8b8dbb12dd55cb75c0868e7de344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.03040",
    "kind": "arxiv",
    "version": 8
  }
}