Pith Number

pith:3HTU2AHW

pith:2026:3HTU2AHW3PAHNXQ5WFZN4F4Q4F

not attested not anchored not stored refs pending

Beyond the Hard Budget: Sparsity Regularizers for More Interpretable Top-k Sparse Autoencoders

Mahdi S. Hosseini, Maria Vakalopoulou, Nathana\"el Jacquier

arxiv:2606.27321 v1 · 2026-06-25 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HTU2AHW3PAHNXQ5WFZN4F4Q4F}

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	2026-06-26T01:16:18.609055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e74d00f6dbc076de1db172de1790e1680c453135c716345d694c01aab70635

Aliases

arxiv: 2606.27321 · arxiv_version: 2606.27321v1 · doi: 10.48550/arxiv.2606.27321 · pith_short_12: 3HTU2AHW3PAH · pith_short_16: 3HTU2AHW3PAHNXQ5 · pith_short_8: 3HTU2AHW

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/3HTU2AHW3PAHNXQ5WFZN4F4Q4F \
  | 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: d9e74d00f6dbc076de1db172de1790e1680c453135c716345d694c01aab70635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59cb89528891ac88512f759dd1afd3ac7e1a4529e213485a38aa8d00e31b1bc4",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-25T17:34:39Z",
    "title_canon_sha256": "65b59d5364c171b40f14aac048682c3f3bf2b0951d423b9d3ad09bb60128ae36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27321",
    "kind": "arxiv",
    "version": 1
  }
}