Pith Number

pith:L7APGVPS

pith:2022:L7APGVPSUGQFR2CQRLASC3DK7Z

not attested not anchored not stored refs pending

Spectral Evolution and Invariance in Linear-width Neural Networks

Anand Sarwate, Andrew Engel, Ioana Dumitriu, Tony Chiang, Zhichao Wang

arxiv:2211.06506 v2 · 2022-11-11 · cs.LG · 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{L7APGVPSUGQFR2CQRLASC3DK7Z}

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	2026-07-05T07:10:21.613999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc0f355f2a1a058e8508ac1216c6afe582356900d9e96500970a82e93da5965

Aliases

arxiv: 2211.06506 · arxiv_version: 2211.06506v2 · doi: 10.48550/arxiv.2211.06506 · pith_short_12: L7APGVPSUGQF · pith_short_16: L7APGVPSUGQFR2CQ · pith_short_8: L7APGVPS

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/L7APGVPSUGQFR2CQRLASC3DK7Z \
  | 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: 5fc0f355f2a1a058e8508ac1216c6afe582356900d9e96500970a82e93da5965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b64cf1893e8e6fb35880765b5b560ff03d30583508afaa42b6ebc5455698842",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-11-11T23:00:30Z",
    "title_canon_sha256": "9d35bdd14d0a902bfe62bfc370d9d79ef93b9523fdfa015f090396399a397db8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.06506",
    "kind": "arxiv",
    "version": 2
  }
}