Pith Number

pith:JQX2LNR4

pith:2026:JQX2LNR4MW6DTPSZI46444CLAS

not attested not anchored not stored refs pending

How to Tame Grokking: Representation Geometry as a Control Signal

Maksim A Kazanskii

arxiv:2607.11666 v1 · 2026-07-13 · 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{JQX2LNR4MW6DTPSZI46444CLAS}

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	2026-07-14T02:22:17.584461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2fa5b63c65bc39be59473dce704b049aa64d6851eb3fdc9278a40e22efbee7

Aliases

arxiv: 2607.11666 · arxiv_version: 2607.11666v1 · doi: 10.48550/arxiv.2607.11666 · pith_short_12: JQX2LNR4MW6D · pith_short_16: JQX2LNR4MW6DTPSZ · pith_short_8: JQX2LNR4

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/JQX2LNR4MW6DTPSZI46444CLAS \
  | 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: 4c2fa5b63c65bc39be59473dce704b049aa64d6851eb3fdc9278a40e22efbee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb33193f20d81c3ea326cdb013f6b6537620141cf8293563ad83bd89aa9a3586",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-13T15:09:42Z",
    "title_canon_sha256": "a0e89f1ce0e8e25bc69954c3cb3ede9c278713158df01ed1e386f22ebe458c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11666",
    "kind": "arxiv",
    "version": 1
  }
}