Pith Number

pith:NNIIV3DM

pith:2025:NNIIV3DMJGYXU2NAIFN5PVT3EW

not attested not anchored not stored refs pending

Understanding Sharpness Dynamics in NN Training with a Minimalist Example: The Effects of Dataset Difficulty, Depth, Stochasticity, and More

Chulhee Yun, Geonhui Yoo, Minhak Song

arxiv:2506.06940 v1 · 2025-06-07 · 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{NNIIV3DMJGYXU2NAIFN5PVT3EW}

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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

Gradient Descent with Large Step Size Restores Symmetry in Deep Linear Networks with Multi-Pathway

Receipt and verification

First computed	2026-07-05T11:17:58.615203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b508aec6c49b17a69a0415bd7d67b259d80fbf00e4d496e4532b7b7d2cd50b8

Aliases

arxiv: 2506.06940 · arxiv_version: 2506.06940v1 · doi: 10.48550/arxiv.2506.06940 · pith_short_12: NNIIV3DMJGYX · pith_short_16: NNIIV3DMJGYXU2NA · pith_short_8: NNIIV3DM

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/NNIIV3DMJGYXU2NAIFN5PVT3EW \
  | 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: 6b508aec6c49b17a69a0415bd7d67b259d80fbf00e4d496e4532b7b7d2cd50b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "763c2f417b6a5959871f7e1a6264f41e03c0f341c1cbc2a9eb8d44ea2c2d45cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-07T22:35:13Z",
    "title_canon_sha256": "ef45e54d83fcce02807094be4c42935272910b35803afeef3c5461bcbc4470f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06940",
    "kind": "arxiv",
    "version": 1
  }
}