Pith Number

pith:2QS4AU4G

pith:2026:2QS4AU4GQDHSAURAAE3WD7COZZ

not attested not anchored not stored refs pending

High-Dimensional Theory of LoRA Fine-Tuning in a Solvable Attention Model

F. Boncoraglio, L. Zdeborov\'a, O. Duranthon

arxiv:2606.05899 v1 · 2026-06-04 · cs.LG · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QS4AU4GQDHSAURAAE3WD7COZZ}

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	2026-06-05T01:15:26.793345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d425c0538680cf205220013761fc4ece600e8e2a82f8659eb5da1b433fd53b59

Aliases

arxiv: 2606.05899 · arxiv_version: 2606.05899v1 · doi: 10.48550/arxiv.2606.05899 · pith_short_12: 2QS4AU4GQDHS · pith_short_16: 2QS4AU4GQDHSAURA · pith_short_8: 2QS4AU4G

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/2QS4AU4GQDHSAURAAE3WD7COZZ \
  | 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: d425c0538680cf205220013761fc4ece600e8e2a82f8659eb5da1b433fd53b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af78f375f25dea1a08c592474f69f23260e19cd8385e78a7eb5fdfcec3ece7f1",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-04T09:05:59Z",
    "title_canon_sha256": "4c182ffe735a017e988e6d34bfab7365314cf523437bff44b21a38fe9e967d99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05899",
    "kind": "arxiv",
    "version": 1
  }
}