Pith Number

pith:F5MZPQI3

pith:2018:F5MZPQI3QHCSLJZBNEVNM5BCT4

not attested not anchored not stored refs pending

Learning ReLU Networks on Linearly Separable Data: Algorithm, Optimality, and Generalization

Gang Wang, Georgios B. Giannakis, Jie Chen

arxiv:1808.04685 v2 · 2018-08-14 · stat.ML · cs.IT · cs.LG · math.IT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5MZPQI3QHCSLJZBNEVNM5BCT4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:47:30.551770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5997c11b81c525a721692ad674229f1975cc25b59c15e1547ec4eb3b43dd39

Aliases

arxiv: 1808.04685 · arxiv_version: 1808.04685v2 · doi: 10.48550/arxiv.1808.04685 · pith_short_12: F5MZPQI3QHCS · pith_short_16: F5MZPQI3QHCSLJZB · pith_short_8: F5MZPQI3

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/F5MZPQI3QHCSLJZBNEVNM5BCT4 \
  | 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: 2f5997c11b81c525a721692ad674229f1975cc25b59c15e1547ec4eb3b43dd39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0383f01ed465aa44f74bfd9273d17c15d25dfeb4169d35b8e12b26731902560",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-08-14T13:45:34Z",
    "title_canon_sha256": "7f1a061854713bd34bcefcc5dcca71d6cdc7c9edc11d01f63415e6013f08a097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04685",
    "kind": "arxiv",
    "version": 2
  }
}