Pith Number

pith:J6R5L6GO

pith:2018:J6R5L6GONWSF55M33GKJVYF27Y

not attested not anchored not stored refs pending

Measure, Manifold, Learning, and Optimization: A Theory Of Neural Networks

Shuai Li

arxiv:1811.12783 v1 · 2018-11-30 · cs.LG · math.PR · math.ST · stat.ML · 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{J6R5L6GONWSF55M33GKJVYF27Y}

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	2026-05-17T23:59:28.475695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fa3d5f8ce6da45ef59bd9949ae0bafe3a4d89c8119f6bc3700d1acb97eca266

Aliases

arxiv: 1811.12783 · arxiv_version: 1811.12783v1 · doi: 10.48550/arxiv.1811.12783 · pith_short_12: J6R5L6GONWSF · pith_short_16: J6R5L6GONWSF55M3 · pith_short_8: J6R5L6GO

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/J6R5L6GONWSF55M33GKJVYF27Y \
  | 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: 4fa3d5f8ce6da45ef59bd9949ae0bafe3a4d89c8119f6bc3700d1acb97eca266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d61b09058000b6f724c67b9171f587d15d49a5d5ba44153170ce82c09ec0ed5d",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-11-30T13:22:01Z",
    "title_canon_sha256": "b2549d3a459bcab0b555e19bfd594088d3b4a4becfc52509853c6df5707c5ab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12783",
    "kind": "arxiv",
    "version": 1
  }
}