Pith Number

pith:TN7D5FA4

pith:2025:TN7D5FA45HJ5OTMZE5HY7LC76J

not attested not anchored not stored refs pending

On the algorithmic construction of deep ReLU networks

Daan Huybrechs

arxiv:2506.19104 v1 · 2025-06-23 · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TN7D5FA45HJ5OTMZE5HY7LC76J}

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	2026-07-05T11:26:09.478358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7e3e941ce9d3d74d99274f8fac5ff26db542835ed8f835dc6d9ecfaf2cf67c

Aliases

arxiv: 2506.19104 · arxiv_version: 2506.19104v1 · doi: 10.48550/arxiv.2506.19104 · pith_short_12: TN7D5FA45HJ5 · pith_short_16: TN7D5FA45HJ5OTMZ · pith_short_8: TN7D5FA4

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/TN7D5FA45HJ5OTMZE5HY7LC76J \
  | 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: 9b7e3e941ce9d3d74d99274f8fac5ff26db542835ed8f835dc6d9ecfaf2cf67c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe6906f0c668411afb7be4334cab1e2722f3944230b5faa8f83258bdf0c715e1",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-23T20:35:52Z",
    "title_canon_sha256": "f323d17346d80b0beaddbfbb01a12cd8ccc4adc65bbcda19f3102e469a961139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19104",
    "kind": "arxiv",
    "version": 1
  }
}