Pith Number

pith:HMIEWPYK

pith:2022:HMIEWPYKVBGT3G4GZUIJCR53VK

not attested not anchored not stored refs pending

On the existence of infinitely many realization functions of non-global local minima in the training of artificial neural networks with ReLU activation

Adrian Riekert, Arnulf Jentzen, Shokhrukh Ibragimov, Timo Kr\"oger

arxiv:2202.11481 v1 · 2022-02-23 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMIEWPYKVBGT3G4GZUIJCR53VK}

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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.

Receipt and verification

First computed	2026-07-05T03:59:33.354392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b104b3f0aa84d3d9b86cd109147bbaa926df368e3fa0788b47b8bcacdd362f5

Aliases

arxiv: 2202.11481 · arxiv_version: 2202.11481v1 · doi: 10.48550/arxiv.2202.11481 · pith_short_12: HMIEWPYKVBGT · pith_short_16: HMIEWPYKVBGT3G4G · pith_short_8: HMIEWPYK

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/HMIEWPYKVBGT3G4GZUIJCR53VK \
  | 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: 3b104b3f0aa84d3d9b86cd109147bbaa926df368e3fa0788b47b8bcacdd362f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6317d8a4ed69d39ea2138afea84aceb585d975da947e2430f4d84a8ab0d69a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-02-23T13:03:25Z",
    "title_canon_sha256": "0544f70afa9d236c43c7ceef444e09b6ebff88f8f2357574e3bfe46a96d01ab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.11481",
    "kind": "arxiv",
    "version": 1
  }
}