Pith Number

pith:Y2YZPP5R

pith:2018:Y2YZPP5RZIJVACKEPJOWNGVSRJ

not attested not anchored not stored refs pending

An Optimal Control Approach to Deep Learning and Applications to Discrete-Weight Neural Networks

Qianxiao Li, Shuji Hao

arxiv:1803.01299 v2 · 2018-03-04 · 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{Y2YZPP5RZIJVACKEPJOWNGVSRJ}

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	2026-05-18T00:14:21.673756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b197bfb1ca135009447a5d669ab28a694eb3ee9d10830497bc2f914e3aa3b1

Aliases

arxiv: 1803.01299 · arxiv_version: 1803.01299v2 · doi: 10.48550/arxiv.1803.01299 · pith_short_12: Y2YZPP5RZIJV · pith_short_16: Y2YZPP5RZIJVACKE · pith_short_8: Y2YZPP5R

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/Y2YZPP5RZIJVACKEPJOWNGVSRJ \
  | 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: c6b197bfb1ca135009447a5d669ab28a694eb3ee9d10830497bc2f914e3aa3b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1218f4b7a2a51007f1f1ae4c0ff124ab0a8f2355a196ebb68db8cb0ce77df4dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-03-04T04:37:49Z",
    "title_canon_sha256": "173c720be92a4ad460d5626e460a9d8b2978640aea5b5912e836440b3aaf30d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01299",
    "kind": "arxiv",
    "version": 2
  }
}