Pith Number

pith:QKKVI5KO

pith:2018:QKKVI5KOKOXZ3KR2MFEMRW2CR4

not attested not anchored not stored refs pending

A Mean Field View of the Landscape of Two-Layers Neural Networks

Andrea Montanari, Phan-Minh Nguyen, Song Mei

arxiv:1804.06561 v2 · 2018-04-18 · stat.ML · cond-mat.stat-mech · cs.LG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKKVI5KOKOXZ3KR2MFEMRW2CR4}

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

Additive function approximation in the brain

Receipt and verification

First computed	2026-07-05T04:29:21.786678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

829554754e53af9daa3a6148c8db428f129da243fc49ae5c2cfe618b1fde0543

Aliases

arxiv: 1804.06561 · arxiv_version: 1804.06561v2 · doi: 10.48550/arxiv.1804.06561 · pith_short_12: QKKVI5KOKOXZ · pith_short_16: QKKVI5KOKOXZ3KR2 · pith_short_8: QKKVI5KO

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/QKKVI5KOKOXZ3KR2MFEMRW2CR4 \
  | 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: 829554754e53af9daa3a6148c8db428f129da243fc49ae5c2cfe618b1fde0543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d2d5bb02eae10e97f37ed99585fc296858f30f20f912aed61ba54c1aec55d24",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-04-18T05:31:45Z",
    "title_canon_sha256": "61a37ea0e2bb3a0c37948c82ad37fe231150b2f3f4a03549baa48e81affd5fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06561",
    "kind": "arxiv",
    "version": 2
  }
}