Pith Number

pith:6HJ33J3Q

pith:2026:6HJ33J3Q562QM2DOMMRQF3UI2Y

not attested not anchored not stored refs pending

A Structural Interpretation of GELU and Threshold-Transmission Activations via the First-Order Loss Function

Roberto Rossi

arxiv:2607.03664 v1 · 2026-07-04 · cs.LG · 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{6HJ33J3Q562QM2DOMMRQF3UI2Y}

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	2026-07-07T02:18:00.000789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d3bda770efb506686e632302ee88d62c250dfc4ee2b9352e43b6e5e2734789

Aliases

arxiv: 2607.03664 · arxiv_version: 2607.03664v1 · doi: 10.48550/arxiv.2607.03664 · pith_short_12: 6HJ33J3Q562Q · pith_short_16: 6HJ33J3Q562QM2DO · pith_short_8: 6HJ33J3Q

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/6HJ33J3Q562QM2DOMMRQF3UI2Y \
  | 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: f1d3bda770efb506686e632302ee88d62c250dfc4ee2b9352e43b6e5e2734789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de8348fdcf1a012d83729ddea60afb5c9d0eab0d91d5b277a4a516d4a13975c",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-04T02:34:22Z",
    "title_canon_sha256": "49f14a18436ad99e5b651cc74256f1a0189c63b48bd82a4785d6a8d93e86b490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03664",
    "kind": "arxiv",
    "version": 1
  }
}