Pith Number

pith:767UEFCC

pith:2023:767UEFCCKDOQICFU6DDB2LC2BH

not attested not anchored not stored refs pending

Geometric structure of shallow neural networks and constructive ${\mathcal L}^2$ cost minimization

Patr\'icia Mu\~noz Ewald, Thomas Chen

arxiv:2309.10370 v4 · 2023-09-19 · cs.LG · cs.AI · math-ph · math.MP · math.OC · 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{767UEFCCKDOQICFU6DDB2LC2BH}

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	2026-06-09T01:05:02.861087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffbf42144250dd0408b4f0c61d2c5a09e236a99f77d3e2a3a7bacc07cd6cf788

Aliases

arxiv: 2309.10370 · arxiv_version: 2309.10370v4 · doi: 10.48550/arxiv.2309.10370 · pith_short_12: 767UEFCCKDOQ · pith_short_16: 767UEFCCKDOQICFU · pith_short_8: 767UEFCC

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/767UEFCCKDOQICFU6DDB2LC2BH \
  | 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: ffbf42144250dd0408b4f0c61d2c5a09e236a99f77d3e2a3a7bacc07cd6cf788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5ef03aebfe2ae9515792923a8c23dc66eeab08cb0af8ad697dd3030d84a1d9d",
    "cross_cats_sorted": [
      "cs.AI",
      "math-ph",
      "math.MP",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-09-19T07:12:41Z",
    "title_canon_sha256": "b57de040a126d5d09f12492a9a848e3f075af4f2d603d5d1d606fdcc5ff21073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.10370",
    "kind": "arxiv",
    "version": 4
  }
}