Pith Number

pith:53Z6YBKS

pith:2026:53Z6YBKSN7MBO36W7FMWKSKG3I

not attested not anchored not stored refs pending

Natural Ungrokking: Asymmetric Control of Which Rules Survive Pretraining

Diya Sreedhar, Juliana Li

arxiv:2606.26050 v1 · 2026-06-24 · cs.LG · cond-mat.dis-nn · cs.AI · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53Z6YBKSN7MBO36W7FMWKSKG3I}

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	2026-06-25T01:18:47.080222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef3ec05526fd8176fd6f959654946da1b99f6583e32357b4f5ec5549c67c609

Aliases

arxiv: 2606.26050 · arxiv_version: 2606.26050v1 · doi: 10.48550/arxiv.2606.26050 · pith_short_12: 53Z6YBKSN7MB · pith_short_16: 53Z6YBKSN7MBO36W · pith_short_8: 53Z6YBKS

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/53Z6YBKSN7MBO36W7FMWKSKG3I \
  | 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: eef3ec05526fd8176fd6f959654946da1b99f6583e32357b4f5ec5549c67c609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87e1fc8a48548ce0736f83762b9719650c777c428ee7ff52fc945c4d90a276b7",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.AI",
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-24T17:27:13Z",
    "title_canon_sha256": "125078eeeee4e144ca6bb2bcabe906fb72c53666629a375b1c4d4174b95137a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26050",
    "kind": "arxiv",
    "version": 1
  }
}