Pith Number

pith:7QIVXZ3Z

pith:2018:7QIVXZ3ZEDO5OCOU73OGQTPILC

not attested not anchored not stored refs pending

ReLU Deep Neural Networks and Linear Finite Elements

Chunyue Zheng, Jinchao Xu, Juncai He, Lin Li

arxiv:1807.03973 v2 · 2018-07-11 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QIVXZ3ZEDO5OCOU73OGQTPILC}

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

4 papers in Pith

Theory of the Frequency Principle for General Deep Neural Networks

Deep learning applied to computational mechanics: A comprehensive review, state of the art, and the classics

Wildfire spread forecasting with Deep Learning

KAN: Kolmogorov-Arnold Networks

Receipt and verification

First computed	2026-06-04T19:12:06.596965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc115be77920ddd709d4fedc684de8588df26a359383ffff35c1b65649dfca5a

Aliases

arxiv: 1807.03973 · arxiv_version: 1807.03973v2 · doi: 10.48550/arxiv.1807.03973 · pith_short_12: 7QIVXZ3ZEDO5 · pith_short_16: 7QIVXZ3ZEDO5OCOU · pith_short_8: 7QIVXZ3Z

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/7QIVXZ3ZEDO5OCOU73OGQTPILC \
  | 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: fc115be77920ddd709d4fedc684de8588df26a359383ffff35c1b65649dfca5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc0497acc8461cca21539a14fb89c38f1bf841be69d2fdf4776cfc2b6af88c96",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-07-11T07:32:40Z",
    "title_canon_sha256": "b5ff544a1ba0e12a3371fb5377cb08f7955a2a0825c5eefef7301504c0881503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03973",
    "kind": "arxiv",
    "version": 2
  }
}