Pith Number

pith:WO6K6PLU

pith:2023:WO6K6PLUVNMOLJBKNTTXN26RPI

not attested not anchored not stored refs pending

On non-approximability of zero loss global ${\mathcal L}^2$ minimizers by gradient descent in Deep Learning

Patricia Mu\~noz Ewald, Thomas Chen

arxiv:2311.07065 v3 · 2023-11-13 · 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{WO6K6PLUVNMOLJBKNTTXN26RPI}

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	2026-06-09T01:05:02.973486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3bcaf3d74ab58e5a42a6ce776ebd17a320206d6ea42f3476c7c502c09e46a0e

Aliases

arxiv: 2311.07065 · arxiv_version: 2311.07065v3 · doi: 10.48550/arxiv.2311.07065 · pith_short_12: WO6K6PLUVNMO · pith_short_16: WO6K6PLUVNMOLJBK · pith_short_8: WO6K6PLU

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/WO6K6PLUVNMOLJBKNTTXN26RPI \
  | 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: b3bcaf3d74ab58e5a42a6ce776ebd17a320206d6ea42f3476c7c502c09e46a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e4b40bdff1cbb037be38b9ce50c6252f26d448ee428d286b9bd75c63d9c6ef",
    "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": "2023-11-13T04:11:25Z",
    "title_canon_sha256": "efb809716a2cf73addeef28f4bb323fa693dcc2daa1121d6878de9c7927cb5cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.07065",
    "kind": "arxiv",
    "version": 3
  }
}