Pith Number

pith:VCTXVKTH

pith:2023:VCTXVKTHUHPN42THYL2I4ZNMTK

not attested not anchored not stored refs pending

A convergence result of a continuous model of deep learning via \L{}ojasiewicz--Simon inequality

Noboru Isobe

arxiv:2311.15365 v2 · 2023-11-26 · cs.LG · math.AP · math.FA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCTXVKTHUHPN42THYL2I4ZNMTK}

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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

3 papers in Pith

Training Infinitely Deep and Wide Transformers

Uniform Scaling Limits in AdamW-Trained Transformers

Man, Machine, and Mathematics

Receipt and verification

First computed	2026-07-05T08:07:31.060250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a77aaa67a1dede6a67c2f48e65ac9a83270d171075537bb9947ed699f8dbd5

Aliases

arxiv: 2311.15365 · arxiv_version: 2311.15365v2 · doi: 10.48550/arxiv.2311.15365 · pith_short_12: VCTXVKTHUHPN · pith_short_16: VCTXVKTHUHPN42TH · pith_short_8: VCTXVKTH

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/VCTXVKTHUHPN42THYL2I4ZNMTK \
  | 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: a8a77aaa67a1dede6a67c2f48e65ac9a83270d171075537bb9947ed699f8dbd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f6d5933838004e8c27d3a12e2b296b9079ea3a30bc425d14b69244c99f70d3",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-11-26T17:44:29Z",
    "title_canon_sha256": "bbcf647e67af344e59182e2ea0dd5d4100556a4e73bf44244b35c33eee880627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15365",
    "kind": "arxiv",
    "version": 2
  }
}