Pith Number

pith:ZTBUZRXN

pith:2026:ZTBUZRXNS2HKLAJXRM2IXM536O

not attested not anchored not stored refs pending

When pre-training hurts LoRA fine-tuning: a dynamical analysis via single-index models

Bruno Loureiro, Gibbs Nwemadji, Jean Barbier

arxiv:2602.02855 v2 · 2026-02-02 · cs.LG · cond-mat.dis-nn · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTBUZRXNS2HKLAJXRM2IXM536O}

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	2026-05-28T01:04:36.194562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc34cc6ed968ea581378b348bb3bbf3a80ef7fbaed292b7fee143dcd72dced3

Aliases

arxiv: 2602.02855 · arxiv_version: 2602.02855v2 · doi: 10.48550/arxiv.2602.02855 · pith_short_12: ZTBUZRXNS2HK · pith_short_16: ZTBUZRXNS2HKLAJX · pith_short_8: ZTBUZRXN

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/ZTBUZRXNS2HKLAJXRM2IXM536O \
  | 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: ccc34cc6ed968ea581378b348bb3bbf3a80ef7fbaed292b7fee143dcd72dced3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bace9692cb0aa3bfd27f74bf69a882408a666338d3602aa0cbec179ec72afa7",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-02T22:02:52Z",
    "title_canon_sha256": "1d91638bb59fa901d66e76059d15776ccfa5d85a379d7f6d674fb8c77ef35c6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.02855",
    "kind": "arxiv",
    "version": 2
  }
}