Pith Number

pith:SMOFNZAQ

pith:2023:SMOFNZAQWJPRLJUF2QZLQNI2E7

not attested not anchored not stored refs pending

A Theoretical Analysis of Noise Geometry in Stochastic Gradient Descent

Lei Wu, Mingze Wang

arxiv:2310.00692 v3 · 2023-10-01 · cs.LG · 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{SMOFNZAQWJPRLJUF2QZLQNI2E7}

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

3 papers in Pith

Why Muon Outperforms Adam: A Curvature Perspective

How Should LLMs Consume High-Quality Data? Optimal Data Scheduling via Quality-Aware Functional Scaling Laws

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

Receipt and verification

First computed	2026-07-05T07:40:02.485299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

931c56e410b25f15a685d432b8351a27d8b65471ca3bc5dfff0ab249942bfa8a

Aliases

arxiv: 2310.00692 · arxiv_version: 2310.00692v3 · doi: 10.48550/arxiv.2310.00692 · pith_short_12: SMOFNZAQWJPR · pith_short_16: SMOFNZAQWJPRLJUF · pith_short_8: SMOFNZAQ

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/SMOFNZAQWJPRLJUF2QZLQNI2E7 \
  | 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: 931c56e410b25f15a685d432b8351a27d8b65471ca3bc5dfff0ab249942bfa8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf0edd18cfec3d6db66815395ddc8aeee713565069719775b22295c1408d932",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-01T14:58:20Z",
    "title_canon_sha256": "f84626f86ddc8308ab5afcc54260e905e9576770c7191bb1312418b5c1286182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.00692",
    "kind": "arxiv",
    "version": 3
  }
}