Pith Number

pith:CU2S3HGU

pith:2026:CU2S3HGUR2UNEW7YXLKH4VFJ5C

not attested not anchored not stored refs pending

Beyond Backpropagation: Monte Carlo Method Can Train Deep Neural Networks

Hong Zhao

arxiv:2607.08406 v1 · 2026-07-09 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CU2S3HGUR2UNEW7YXLKH4VFJ5C}

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	2026-07-10T01:19:49.564273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15352d9cd48ea8d25bf8bad47e54a9e88688c3bb5097dcafe0e60faa45c3e195

Aliases

arxiv: 2607.08406 · arxiv_version: 2607.08406v1 · doi: 10.48550/arxiv.2607.08406 · pith_short_12: CU2S3HGUR2UN · pith_short_16: CU2S3HGUR2UNEW7Y · pith_short_8: CU2S3HGU

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/CU2S3HGUR2UNEW7YXLKH4VFJ5C \
  | 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: 15352d9cd48ea8d25bf8bad47e54a9e88688c3bb5097dcafe0e60faa45c3e195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a4a8490459ac0369da2728c4c595f4bd34838fec1cd1bfe772437c1e10a03d9",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-09T12:31:04Z",
    "title_canon_sha256": "9a086eb89c062bde6f0bfb34fae69b694778ae554b09d277cd1a9e9e93e6c12e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08406",
    "kind": "arxiv",
    "version": 1
  }
}