Pith Number

pith:LDXN3YDN

pith:2026:LDXN3YDNPA4NP2IAJHPW4CL6HF

not attested not anchored not stored refs pending

The Intruder Threshold: A Spectral Law for LoRA Fine-Tuning

Peng Xie

arxiv:2607.23711 v1 · 2026-07-26 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDXN3YDNPA4NP2IAJHPW4CL6HF}

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	2026-07-28T01:23:07.164554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58eedde06d7838d7e90049df6e097e397a0142bcd582719cbd34437dd5d95de1

Aliases

arxiv: 2607.23711 · arxiv_version: 2607.23711v1 · doi: 10.48550/arxiv.2607.23711 · pith_short_12: LDXN3YDNPA4N · pith_short_16: LDXN3YDNPA4NP2IA · pith_short_8: LDXN3YDN

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/LDXN3YDNPA4NP2IAJHPW4CL6HF \
  | 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: 58eedde06d7838d7e90049df6e097e397a0142bcd582719cbd34437dd5d95de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a41fb70583f415a243b4cf2b1490a94c0b0a9bc342ced287574b814a2554b7a",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-26T15:17:41Z",
    "title_canon_sha256": "8cc8158e9ef8d7732dbf8efb4d617620e56ba1ad96dfeb2f5692dd952fd6b49d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23711",
    "kind": "arxiv",
    "version": 1
  }
}