Pith Number

pith:T7VRN7XZ

pith:2021:T7VRN7XZ6ASE6SYFOAHU2BRX5B

not attested not anchored not stored refs pending

Stochastic gradient descent with noise of machine learning type. Part II: Continuous time analysis

Stephan Wojtowytsch

arxiv:2106.02588 v2 · 2021-06-04 · cs.LG · math.AP · 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{T7VRN7XZ6ASE6SYFOAHU2BRX5B}

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

Negligible in Size, Significant in Effect: On Scale Vectors in Large Language Models

Receipt and verification

First computed	2026-07-05T03:14:35.135513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9feb16fef9f0244f4b05700f4d0637e84ac8acbf18321432e50e406bf988114b

Aliases

arxiv: 2106.02588 · arxiv_version: 2106.02588v2 · doi: 10.48550/arxiv.2106.02588 · pith_short_12: T7VRN7XZ6ASE · pith_short_16: T7VRN7XZ6ASE6SYF · pith_short_8: T7VRN7XZ

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/T7VRN7XZ6ASE6SYFOAHU2BRX5B \
  | 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: 9feb16fef9f0244f4b05700f4d0637e84ac8acbf18321432e50e406bf988114b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc7e2a0de31cf30609f79baacb47646b5990f849c9520416f7e928ef7b8caf5",
    "cross_cats_sorted": [
      "math.AP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-04T16:34:32Z",
    "title_canon_sha256": "c55b6174f623475182acadc64e52bcc9f88e5686f81a212845c1463f46090d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02588",
    "kind": "arxiv",
    "version": 2
  }
}