Pith Number

pith:7RKRW4EL

pith:2024:7RKRW4ELFIQJ6HBPOL2GHNTI6M

not attested not anchored not stored refs pending

Emergence of Hidden Capabilities: Exploring Learning Dynamics in Concept Space

Andrew Lee, Core Francisco Park, Ekdeep Singh Lubana, Hidenori Tanaka, Maya Okawa

arxiv:2406.19370 v4 · 2024-06-27 · 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{7RKRW4ELFIQJ6HBPOL2GHNTI6M}

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

3 papers in Pith

Unsupervised Causal Abstractions Discovery

The two clocks and the innovation window: When and how generative models learn rules

Grokking of Diffusion Models: Case Study on Modular Addition

Receipt and verification

First computed	2026-07-05T09:47:31.618633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc551b708b2a209f1c2f72f463b668f3178cfde9777b640c034e5128fbb40646

Aliases

arxiv: 2406.19370 · arxiv_version: 2406.19370v4 · doi: 10.48550/arxiv.2406.19370 · pith_short_12: 7RKRW4ELFIQJ · pith_short_16: 7RKRW4ELFIQJ6HBP · pith_short_8: 7RKRW4EL

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/7RKRW4ELFIQJ6HBPOL2GHNTI6M \
  | 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: fc551b708b2a209f1c2f72f463b668f3178cfde9777b640c034e5128fbb40646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c84055c50fd79c1398e613e6010d861fb634c25384ea91337f4329c23a2e7804",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-06-27T17:50:05Z",
    "title_canon_sha256": "1c7a3d5ecf4b54aacc9cae3d882935f4dd6af964c8d30f7dcfc473e1a3110ad8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.19370",
    "kind": "arxiv",
    "version": 4
  }
}