Pith Number

pith:VDPRZQVB

pith:2026:VDPRZQVBMGUN5GE5NT2LCKKRID

not attested not anchored not stored refs pending

Expander Sparse Autoencoders: Parameter-Efficient Dictionaries for Mechanistic Interpretability

Rodrigo Mendoza-Smith

arxiv:2607.01799 v1 · 2026-07-02 · cs.LG · cs.AI · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDPRZQVBMGUN5GE5NT2LCKKRID}

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	2026-07-03T01:17:30.210722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8df1cc2a161a8de989d6cf4b1295140e778821024a16d8f4d04f63d722350c8

Aliases

arxiv: 2607.01799 · arxiv_version: 2607.01799v1 · doi: 10.48550/arxiv.2607.01799 · pith_short_12: VDPRZQVBMGUN · pith_short_16: VDPRZQVBMGUN5GE5 · pith_short_8: VDPRZQVB

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/VDPRZQVBMGUN5GE5NT2LCKKRID \
  | 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: a8df1cc2a161a8de989d6cf4b1295140e778821024a16d8f4d04f63d722350c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8c363083c48782b162c3b56c7faf02b7a79695c2c43d8b78499df0a6b52e6e",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-02T07:16:14Z",
    "title_canon_sha256": "6bcd6956287b0214fdb87a50bfaa67f7eae2f774bb3e3297593f9e46ae99b581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01799",
    "kind": "arxiv",
    "version": 1
  }
}