Pith Number

pith:KDXNZ6RW

pith:2026:KDXNZ6RWH2HYXAWNTVOQ243QAB

not attested not anchored not stored refs pending

When Does Model Collapse Occur in Structured Interactive Learning?

Kangjie Zhou, Weijie Su, Yuchen Wu

arxiv:2605.20151 v1 · 2026-05-19 · cs.LG · 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{KDXNZ6RWH2HYXAWNTVOQ243QAB}

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	2026-05-20T02:06:04.418497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50eedcfa363e8f8b82cd9d5d0d7370007eaee9f71d153f13de0124a78e56cb49

Aliases

arxiv: 2605.20151 · arxiv_version: 2605.20151v1 · doi: 10.48550/arxiv.2605.20151 · pith_short_12: KDXNZ6RWH2HY · pith_short_16: KDXNZ6RWH2HYXAWN · pith_short_8: KDXNZ6RW

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/KDXNZ6RWH2HYXAWNTVOQ243QAB \
  | 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: 50eedcfa363e8f8b82cd9d5d0d7370007eaee9f71d153f13de0124a78e56cb49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fae034e29b53e1acb2e73e8d51adc20ab45bb264fdedf932bec74c06a40f510",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-19T17:41:09Z",
    "title_canon_sha256": "2c4144594f7e4b5bf149a8140effbd9edfefe9922299735b2000f6ab97aee3a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20151",
    "kind": "arxiv",
    "version": 1
  }
}