Pith Number

pith:NWPE3LJN

pith:2025:NWPE3LJNZ232OWFMPLPMRIZODJ

not attested not anchored not stored refs pending

Universality of physical neural networks with multivariate nonlinearity

Benjamin Savinson, David J. Norris, Samuel Lanthaler, Siddhartha Mishra

arxiv:2509.05420 v1 · 2025-09-06 · physics.optics · cs.AI · physics.class-ph · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWPE3LJNZ232OWFMPLPMRIZODJ}

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

Tutorial: A practical guide to the alignment of defocused spatial light modulators for fast diffractive neural networks

Receipt and verification

First computed	2026-07-05T12:05:47.169621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d9e4dad2dceb7a758ac7adec8a32e1a677e0cd3ccb24d1342ecf114876a7f92

Aliases

arxiv: 2509.05420 · arxiv_version: 2509.05420v1 · doi: 10.48550/arxiv.2509.05420 · pith_short_12: NWPE3LJNZ232 · pith_short_16: NWPE3LJNZ232OWFM · pith_short_8: NWPE3LJN

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/NWPE3LJNZ232OWFMPLPMRIZODJ \
  | 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: 6d9e4dad2dceb7a758ac7adec8a32e1a677e0cd3ccb24d1342ecf114876a7f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5dc53b41adadeef7531a104ba6c2c3a0aa26257403776a1e2aff3fd7b5710db",
    "cross_cats_sorted": [
      "cs.AI",
      "physics.class-ph",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-09-06T14:08:32Z",
    "title_canon_sha256": "17c7d7fcaca84a19dc2b761ce2fdd63eab3ec142539872e7fdcf86cde03e355d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05420",
    "kind": "arxiv",
    "version": 1
  }
}