Pith Number

pith:2I3JERYW

pith:2025:2I3JERYW45R4HRYXQAKTHGYWXJ

not attested not anchored not stored refs pending

Discovering Hierarchical Latent Capabilities of Language Models via Causal Representation Learning

Hanlin Zhang, Jikai Jin, Sham Kakade, Vasilis Syrgkanis

arxiv:2506.10378 v1 · 2025-06-12 · cs.LG · cs.AI · cs.CL · 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{2I3JERYW45R4HRYXQAKTHGYWXJ}

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.

Cited by

1 paper in Pith

SuperValid: Capability-Aligned OOD Validation for Generalizable Downstream Scaling

Receipt and verification

First computed	2026-07-05T11:20:22.298308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d236924716e763c3c7178015339b16ba59843d8de7bcec75b38d2f99817ed87b

Aliases

arxiv: 2506.10378 · arxiv_version: 2506.10378v1 · doi: 10.48550/arxiv.2506.10378 · pith_short_12: 2I3JERYW45R4 · pith_short_16: 2I3JERYW45R4HRYX · pith_short_8: 2I3JERYW

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/2I3JERYW45R4HRYXQAKTHGYWXJ \
  | 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: d236924716e763c3c7178015339b16ba59843d8de7bcec75b38d2f99817ed87b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce800f931f9fe9d56310931755b62de55b26a799d80ca569896c16a0becd30e5",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-12T06:07:42Z",
    "title_canon_sha256": "8248ac30504be4f4dc83a59d0fbca0397300bccdd5167d35526ce4cb9c07fd08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10378",
    "kind": "arxiv",
    "version": 1
  }
}