Pith Number

pith:M4TD5IKH

pith:2025:M4TD5IKHODHP4HJIDVICHOYZFV

not attested not anchored not stored refs pending

SGD as Free Energy Minimization: A Thermodynamic View on Neural Network Training

Dmitry Vetrov, Ekaterina Lobacheva, Ildus Sadrtdinov, Ivan Klimov

arxiv:2505.23489 v1 · 2025-05-29 · 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{M4TD5IKHODHP4HJIDVICHOYZFV}

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	2026-07-05T11:12:02.869086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67263ea14770cefe1d281d5023bb192d4f32c64ec3b4d0b95051b9125cde99bc

Aliases

arxiv: 2505.23489 · arxiv_version: 2505.23489v1 · doi: 10.48550/arxiv.2505.23489 · pith_short_12: M4TD5IKHODHP · pith_short_16: M4TD5IKHODHP4HJI · pith_short_8: M4TD5IKH

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/M4TD5IKHODHP4HJIDVICHOYZFV \
  | 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: 67263ea14770cefe1d281d5023bb192d4f32c64ec3b4d0b95051b9125cde99bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee6a9872c0e5deecdd4c125b81c034632789f6ad645d75fcab817704986ec32d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-29T14:40:24Z",
    "title_canon_sha256": "4bedc00c5f1fa43770254958eb4b4254f0229ef4732e3cae3aebfd4bd5b7ab68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23489",
    "kind": "arxiv",
    "version": 1
  }
}