Pith Number

pith:XRUI6OAW

pith:2026:XRUI6OAW7LFJP4QLIS5FVOHNOP

not attested not anchored not stored refs pending

Self-Improvement Can Self-Regress: The Rise-and-Collapse Failure Mode of LLM Self-Training

Jianzhe Lin

arxiv:2606.21090 v1 · 2026-06-17 · 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{XRUI6OAW7LFJP4QLIS5FVOHNOP}

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	2026-06-23T01:12:29.544030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc688f3816faca97f20b44ba5ab8ed73c41313872d030185bab88a266d9d8061

Aliases

arxiv: 2606.21090 · arxiv_version: 2606.21090v1 · doi: 10.48550/arxiv.2606.21090 · pith_short_12: XRUI6OAW7LFJ · pith_short_16: XRUI6OAW7LFJP4QL · pith_short_8: XRUI6OAW

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/XRUI6OAW7LFJP4QLIS5FVOHNOP \
  | 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: bc688f3816faca97f20b44ba5ab8ed73c41313872d030185bab88a266d9d8061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b8df4eaac28179cd550e64db1a683a2d9a9b5c132fe5df349149b15f81a202",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-17T18:03:06Z",
    "title_canon_sha256": "95b8fc03068143c614557cc86ff7884ad4d403f518f9eecde045bbd4a8bcf08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21090",
    "kind": "arxiv",
    "version": 1
  }
}