Pith Number

pith:B637LZBZ

pith:2025:B637LZBZXUC7SHEPAH5ZQRTZFR

not attested not anchored not stored refs pending

Concept-SAE: A Controllable and Invertible Concept Interface for Sparse Autoencoders

Chenchen Zhao, Jianrong Ding, Muxi Chen, Qiang Xu

arxiv:2509.22015 v2 · 2025-09-26 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B637LZBZXUC7SHEPAH5ZQRTZFR}

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	2026-06-05T01:15:16.401693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb7f5e439bd05f91c8f01fb9846792c5431c47f8ff69bcb7ffb7cad3716fe65

Aliases

arxiv: 2509.22015 · arxiv_version: 2509.22015v2 · doi: 10.48550/arxiv.2509.22015 · pith_short_12: B637LZBZXUC7 · pith_short_16: B637LZBZXUC7SHEP · pith_short_8: B637LZBZ

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/B637LZBZXUC7SHEPAH5ZQRTZFR \
  | 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: 0fb7f5e439bd05f91c8f01fb9846792c5431c47f8ff69bcb7ffb7cad3716fe65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db53a1a72951a8ebf203c173c5c92156b6ca2cf307b92ced412120aea8a2c799",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-26T07:51:03Z",
    "title_canon_sha256": "69633d46a3367be78ac1bd796c8aef6a85b048adf8ad8feba46316fed0c14269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.22015",
    "kind": "arxiv",
    "version": 2
  }
}