Pith Number

pith:HFYTS7PM

pith:2023:HFYTS7PMONYWZWECXSB4OFYEZ2

not attested not anchored not stored refs pending

Global $\mathcal{L}^2$ minimization at uniform exponential rate via geometrically adapted gradient descent in Deep Learning

Thomas Chen

arxiv:2311.15487 v6 · 2023-11-27 · cs.LG · cs.AI · math-ph · math.MP · 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{HFYTS7PMONYWZWECXSB4OFYEZ2}

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.

Receipt and verification

First computed	2026-05-26T01:03:07.910487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3971397dec73716cd882bc83c71704ceb72ace300c60d17b00d80112e6c8d587

Aliases

arxiv: 2311.15487 · arxiv_version: 2311.15487v6 · doi: 10.48550/arxiv.2311.15487 · pith_short_12: HFYTS7PMONYW · pith_short_16: HFYTS7PMONYWZWEC · pith_short_8: HFYTS7PM

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/HFYTS7PMONYWZWECXSB4OFYEZ2 \
  | 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: 3971397dec73716cd882bc83c71704ceb72ace300c60d17b00d80112e6c8d587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31adc197eef88ccf01eb739a648fcf6d779fa0d329120895716550da3a0d7903",
    "cross_cats_sorted": [
      "cs.AI",
      "math-ph",
      "math.MP",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-11-27T02:12:02Z",
    "title_canon_sha256": "df3c70ac5a19cb4fcc88162c2d658459f4c31ba8d7b707b92fc76c8c4c1441ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15487",
    "kind": "arxiv",
    "version": 6
  }
}