Pith Number

pith:FFJ2IJ3W

pith:2022:FFJ2IJ3WR7MYAUHTZ2M2GYON57

not attested not anchored not stored refs pending

Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective

Andrej Risteski, Jianfeng Lu, Tanya Marwah, Zachary C. Lipton

arxiv:2210.12101 v2 · 2022-10-21 · cs.LG · cs.NA · math.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{FFJ2IJ3WR7MYAUHTZ2M2GYON57}

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

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Receipt and verification

First computed	2026-07-05T05:54:55.660206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2953a427768fd98050f3ce99a361cdefc845e0bede11285a1f18eb9b29369da4

Aliases

arxiv: 2210.12101 · arxiv_version: 2210.12101v2 · doi: 10.48550/arxiv.2210.12101 · pith_short_12: FFJ2IJ3WR7MY · pith_short_16: FFJ2IJ3WR7MYAUHT · pith_short_8: FFJ2IJ3W

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/FFJ2IJ3WR7MYAUHTZ2M2GYON57 \
  | 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: 2953a427768fd98050f3ce99a361cdefc845e0bede11285a1f18eb9b29369da4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "246f96e8b8d2068b50da754197e9c6f5cf0b732c691cf8b577de6e62ff43b2bc",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-10-21T16:53:18Z",
    "title_canon_sha256": "a438f3afc5614c35e40ef7ee3b80c52930d76be172d57bd6eab55f6232ea635c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.12101",
    "kind": "arxiv",
    "version": 2
  }
}