Pith Number

pith:QVADTLOF

pith:2025:QVADTLOFOY5MSCXVR3ONMQ7T3L

not attested not anchored not stored refs pending

A Probabilistic Perspective on Model Collapse

Guang Cheng, Hengzhi He, Shirong Xu

arxiv:2505.13947 v2 · 2025-05-20 · stat.ML · 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{QVADTLOFOY5MSCXVR3ONMQ7T3L}

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.

Cited by

1 paper in Pith

Curated Synthetic Data Doesn't Have to Collapse: A Theoretical Study of Generative Retraining with Pluralistic Preferences

Receipt and verification

First computed	2026-07-05T11:07:25.124284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

854039adc5763ac90af58edcd643f3dac5128ddd421b179183f665befa0c62fe

Aliases

arxiv: 2505.13947 · arxiv_version: 2505.13947v2 · doi: 10.48550/arxiv.2505.13947 · pith_short_12: QVADTLOFOY5M · pith_short_16: QVADTLOFOY5MSCXV · pith_short_8: QVADTLOF

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/QVADTLOFOY5MSCXVR3ONMQ7T3L \
  | 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: 854039adc5763ac90af58edcd643f3dac5128ddd421b179183f665befa0c62fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae13dcc5b6ddacd9b63a87889f615fec78742846945b10c8e13c151c122848b9",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-05-20T05:25:29Z",
    "title_canon_sha256": "b32ffa46e3e41f24d6e4233e774f63ed4a9e842032fdeb701819502048fd1296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.13947",
    "kind": "arxiv",
    "version": 2
  }
}