Pith Number

pith:GLWG2E5W

pith:2024:GLWG2E5WZG6Q2IJZNSOE2W4O2A

not attested not anchored not stored refs pending

Does SGD really happen in tiny subspaces?

Chulhee Yun, Kwangjun Ahn, Minhak Song

arxiv:2405.16002 v3 · 2024-05-25 · cs.LG · 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{GLWG2E5WZG6Q2IJZNSOE2W4O2A}

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

2 papers in Pith

FOAM: Frequency and Operator Error-Based Adaptive Damping Method for Reducing Staleness-Oriented Error for Shampoo

Characterizing Optimizer-Dependent Training Dynamics Through Hessian Eigenvector Displacement and Localization

Receipt and verification

First computed	2026-07-05T10:28:16.699908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ec6d13b6c9bd0d21396c9c4d5b8ed0278c9777a0132c67adf37bda52bc4ca3

Aliases

arxiv: 2405.16002 · arxiv_version: 2405.16002v3 · doi: 10.48550/arxiv.2405.16002 · pith_short_12: GLWG2E5WZG6Q · pith_short_16: GLWG2E5WZG6Q2IJZ · pith_short_8: GLWG2E5W

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/GLWG2E5WZG6Q2IJZNSOE2W4O2A \
  | 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: 32ec6d13b6c9bd0d21396c9c4d5b8ed0278c9777a0132c67adf37bda52bc4ca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4fba0bda7b7ae491d3ee8a8054584058642d000eadf04b5be7dd4572405e0a6",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-05-25T01:44:35Z",
    "title_canon_sha256": "c3729f547dea8a0802db91e200951b116b61280c5a26846683bc9c1a5154b8ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.16002",
    "kind": "arxiv",
    "version": 3
  }
}