Pith Number

pith:6SJXBEM3

pith:2025:6SJXBEM33NBU5EEDVW3BMAW4GL

not attested not anchored not stored refs pending

Is Stochastic Gradient Descent Effective? A PDE Perspective on Machine Learning processes

Davide Barbieri, Matteo Bonforte, Peio Ibarrondo

arxiv:2501.08425 v3 · 2025-01-14 · cs.LG · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SJXBEM33NBU5EEDVW3BMAW4GL}

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	2026-06-12T01:09:06.682498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f49370919bdb434e9083adb61602dc32d67192b7cd26b813456a639c1ac60830

Aliases

arxiv: 2501.08425 · arxiv_version: 2501.08425v3 · doi: 10.48550/arxiv.2501.08425 · pith_short_12: 6SJXBEM33NBU · pith_short_16: 6SJXBEM33NBU5EED · pith_short_8: 6SJXBEM3

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/6SJXBEM33NBU5EEDVW3BMAW4GL \
  | 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: f49370919bdb434e9083adb61602dc32d67192b7cd26b813456a639c1ac60830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b500f3e8889848ae107cf6896750c791f0c3fb467a350fa6db697153a6c2b6",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-14T20:33:30Z",
    "title_canon_sha256": "6572eb5ca9e9e14a11df59e544b3da839a88e3647da1bdc4288d2d97dc419372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.08425",
    "kind": "arxiv",
    "version": 3
  }
}