Pith Number

pith:JZUN3RDE

pith:2026:JZUN3RDEFK7WHJHEFMUWTFKG6R

not attested not anchored not stored refs pending

Random Neural Network Expressivity for Non-Linear Partial Differential Equations

Lukas Gonon, Muhammed Ali Mehmood

arxiv:2605.25057 v1 · 2026-05-24 · math.NA · cs.LG · 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{JZUN3RDEFK7WHJHEFMUWTFKG6R}

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	2026-05-26T02:03:37.808289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e68ddc4642abf63a4e42b29699546f47ec51952c3612ec4869e04920b1879ed

Aliases

arxiv: 2605.25057 · arxiv_version: 2605.25057v1 · doi: 10.48550/arxiv.2605.25057 · pith_short_12: JZUN3RDEFK7W · pith_short_16: JZUN3RDEFK7WHJHE · pith_short_8: JZUN3RDE

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/JZUN3RDEFK7WHJHEFMUWTFKG6R \
  | 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: 4e68ddc4642abf63a4e42b29699546f47ec51952c3612ec4869e04920b1879ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736b407f5ec828e33198c588157e669505eb56d4724e15bf15a6ac0cd3754598",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-24T13:08:34Z",
    "title_canon_sha256": "bdc4a69cced4f2a1bc39856749e1c2ee385fb60594a10d89c3569c6a2c11893c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25057",
    "kind": "arxiv",
    "version": 1
  }
}