Pith Number

pith:IAYCOYYW

pith:2026:IAYCOYYWZYMTMS5ZMIV7BBVLIA

not attested not anchored not stored refs pending

The Symmetries of Three-Layer ReLU Networks

Guido Mont\'ufar, Johanna Marie Gegenfurtner, Moritz Grillo

arxiv:2605.18319 v1 · 2026-05-18 · cs.LG · cs.DM · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAYCOYYWZYMTMS5ZMIV7BBVLIA}

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	2026-05-20T00:05:55.051605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4030276316ce19364bb9622bf086ab402d2dfe0f9b85a9dafa87b6e62904400e

Aliases

arxiv: 2605.18319 · arxiv_version: 2605.18319v1 · doi: 10.48550/arxiv.2605.18319 · pith_short_12: IAYCOYYWZYMT · pith_short_16: IAYCOYYWZYMTMS5Z · pith_short_8: IAYCOYYW

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/IAYCOYYWZYMTMS5ZMIV7BBVLIA \
  | 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: 4030276316ce19364bb9622bf086ab402d2dfe0f9b85a9dafa87b6e62904400e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b02255ee4011f16be84df7a7d77e478b018957537410291fc296d38d3ffa3a6",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AG",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-18T12:38:11Z",
    "title_canon_sha256": "901305f97bc0252a72266df365377d09eb2884dc00c8b0214c62c758c66e41e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18319",
    "kind": "arxiv",
    "version": 1
  }
}