Pith Number

pith:XF5I7QWD

pith:2025:XF5I7QWDJIMATFESUGE3MRLOEM

not attested not anchored not stored refs pending

The late-stage training dynamics of (stochastic) subgradient descent on homogeneous neural networks

Nicolas Schreuder, Sholom Schechtman

arxiv:2502.05668 v3 · 2025-02-08 · cs.LG · cs.NE · math.OC · 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{XF5I7QWDJIMATFESUGE3MRLOEM}

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.

Cited by

1 paper in Pith

Convergence of Continual Learning in Homogeneous Deep Networks

Receipt and verification

First computed	2026-07-05T11:38:50.148995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97a8fc2c34a18099492a189b6456e2302b2a6a0561dc245f21901f03ea0adcb

Aliases

arxiv: 2502.05668 · arxiv_version: 2502.05668v3 · doi: 10.48550/arxiv.2502.05668 · pith_short_12: XF5I7QWDJIMA · pith_short_16: XF5I7QWDJIMATFES · pith_short_8: XF5I7QWD

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/XF5I7QWDJIMATFESUGE3MRLOEM \
  | 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: b97a8fc2c34a18099492a189b6456e2302b2a6a0561dc245f21901f03ea0adcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38cce3f3c393cdb63a410bea95168671760bbc5ea5cb698473b459b7278a96d",
    "cross_cats_sorted": [
      "cs.NE",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-08T19:09:16Z",
    "title_canon_sha256": "17149e74f1b9a141677080f2be380b533c7217b483276080d06ca974308b0c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05668",
    "kind": "arxiv",
    "version": 3
  }
}