Pith Number

pith:XHTMCYR4

pith:2025:XHTMCYR4KNNJNEEUYI5U7OLPRR

not attested not anchored not stored refs pending

An analysis of optimization problems involving ReLU neural networks

Alexander Klimek, Caroline Ganzer, Christoph Plate, Kai Sundmacher, Mirko Hahn, Sebastian Sager

arxiv:2502.03016 v1 · 2025-02-05 · math.OC · 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{XHTMCYR4KNNJNEEUYI5U7OLPRR}

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	2026-07-05T10:09:58.380514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9e6c1623c535a969094c23b4fb96f8c527869bccb56ad6f538bbdb8cb3a2f33

Aliases

arxiv: 2502.03016 · arxiv_version: 2502.03016v1 · doi: 10.48550/arxiv.2502.03016 · pith_short_12: XHTMCYR4KNNJ · pith_short_16: XHTMCYR4KNNJNEEU · pith_short_8: XHTMCYR4

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/XHTMCYR4KNNJNEEUYI5U7OLPRR \
  | 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: b9e6c1623c535a969094c23b4fb96f8c527869bccb56ad6f538bbdb8cb3a2f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ac66bc6bcad6a13a6dbcfc0d500462b7b85e97dcf0f7ac8c2988f4062f4ae5",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-02-05T09:18:07Z",
    "title_canon_sha256": "c7ea2b376aa27ec88a5dd86793e980db71cdfdce4d6eaf194f2a601fc6ebd30f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03016",
    "kind": "arxiv",
    "version": 1
  }
}