Pith Number

pith:2A3SG3QR

pith:2026:2A3SG3QRTBYUZCCZXVD2WVESTC

not attested not anchored not stored refs pending

Procedural Knowledge Is Not Low-Rank: Why LoRA Fails to Internalize Multi-Step Procedures

Hao Guo, Kevin Shabahang, Rivaan Patil, Simon Dennis

arxiv:2607.21612 v1 · 2026-05-23 · cs.AI · 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{2A3SG3QRTBYUZCCZXVD2WVESTC}

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	2026-07-27T00:20:11.064803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d037236e1198714c8859bd47ab549298803a4fb6094f0ef9583849f02bd8d2f9

Aliases

arxiv: 2607.21612 · arxiv_version: 2607.21612v1 · doi: 10.48550/arxiv.2607.21612 · pith_short_12: 2A3SG3QRTBYU · pith_short_16: 2A3SG3QRTBYUZCCZ · pith_short_8: 2A3SG3QR

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/2A3SG3QRTBYUZCCZXVD2WVESTC \
  | 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: d037236e1198714c8859bd47ab549298803a4fb6094f0ef9583849f02bd8d2f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "331f64381046b1cabdaf581892862cce8d9aab24ef35d0d9b706bc499bf14fde",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-23T17:06:02Z",
    "title_canon_sha256": "efb3b9e5fe09adc2a625f4f09a1817f67abbde0eb93f74a20e422f8d01668897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21612",
    "kind": "arxiv",
    "version": 1
  }
}