Pith Number

pith:PGLPUERX

pith:2014:PGLPUERX4WXYXX5EWDIHEMLP5W

not attested not anchored not stored refs pending

The Loss Surfaces of Multilayer Networks

Anna Choromanska, G\'erard Ben Arous, Michael Mathieu, Mikael Henaff, Yann LeCun

arxiv:1412.0233 v3 · 2014-11-30 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGLPUERX4WXYXX5EWDIHEMLP5W}

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

2 papers in Pith

Dimension-Free Saddle-Point Escape in Muon

SGDR: Stochastic Gradient Descent with Warm Restarts

Receipt and verification

First computed	2026-05-18T02:28:54.892062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7996fa1237e5af8bdfa4b0d072316fed98bc785a70f8c91beea9c7dcef682e82

Aliases

arxiv: 1412.0233 · arxiv_version: 1412.0233v3 · doi: 10.48550/arxiv.1412.0233 · pith_short_12: PGLPUERX4WXY · pith_short_16: PGLPUERX4WXYXX5E · pith_short_8: PGLPUERX

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/PGLPUERX4WXYXX5EWDIHEMLP5W \
  | 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: 7996fa1237e5af8bdfa4b0d072316fed98bc785a70f8c91beea9c7dcef682e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3561cc8f2063c5a84ebd2c3e0ca22bdb418dc85721672331ec2b9ee2afa47ba8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2014-11-30T15:48:16Z",
    "title_canon_sha256": "4bff4783dfccbe9a8892d4afb806683f579b050399f5ff180c2e24f8005c3491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0233",
    "kind": "arxiv",
    "version": 3
  }
}