Pith Number

pith:B2ROX3YZ

pith:2024:B2ROX3YZWXO3JJDZ37XZI5YHB5

not attested not anchored not stored refs pending

Universality of the $\pi^2/6$ Pathway in Avoiding Model Collapse

Apratim Dey, David Donoho

arxiv:2410.22812 v1 · 2024-10-30 · cs.LG · cs.AI · cs.ET · math.ST · stat.ML · 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{B2ROX3YZWXO3JJDZ37XZI5YHB5}

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

When Sample Selection Bias Precipitates Model Collapse

Receipt and verification

First computed	2026-07-05T09:28:36.490603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ea2ebef19b5ddb4a479dfef9477070f71a9eb837e6399a10996aa0c2a741cb4

Aliases

arxiv: 2410.22812 · arxiv_version: 2410.22812v1 · doi: 10.48550/arxiv.2410.22812 · pith_short_12: B2ROX3YZWXO3 · pith_short_16: B2ROX3YZWXO3JJDZ · pith_short_8: B2ROX3YZ

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/B2ROX3YZWXO3JJDZ37XZI5YHB5 \
  | 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: 0ea2ebef19b5ddb4a479dfef9477070f71a9eb837e6399a10996aa0c2a741cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50e4b38c7782894d0105b859669825b06a37de0664b93524c124adf8fc44cfc3",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.ET",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-30T08:44:10Z",
    "title_canon_sha256": "87532f8a28da9e0384ad41101a4ec5b332ec1629b7a312a99a88fb0a1cfd88d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.22812",
    "kind": "arxiv",
    "version": 1
  }
}