Pith Number

pith:5N65AIP5

pith:2024:5N65AIP5HWDZUSZZ63ACHSIQJG

not attested not anchored not stored refs pending

eGAD! double descent is explained by Generalized Aliasing Decomposition

Gus L. W. Hart, Jared P. Whitehead, Mark K. Transtrum, Tyler J. Jarvis

arxiv:2408.08294 v4 · 2024-08-15 · math.ST · cs.LG · math-ph · math.MP · 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{5N65AIP5HWDZUSZZ63ACHSIQJG}

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	2026-07-05T11:14:24.311341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7dd021fd3d879a4b39f6c023c910499997692f4f253ed9fbeca8005aed9614

Aliases

arxiv: 2408.08294 · arxiv_version: 2408.08294v4 · doi: 10.48550/arxiv.2408.08294 · pith_short_12: 5N65AIP5HWDZ · pith_short_16: 5N65AIP5HWDZUSZZ · pith_short_8: 5N65AIP5

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/5N65AIP5HWDZUSZZ63ACHSIQJG \
  | 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: eb7dd021fd3d879a4b39f6c023c910499997692f4f253ed9fbeca8005aed9614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6c968637f8f0b4dc0fba9b7fe85ff29b599136268bae2a85c330f4b7f50bcd",
    "cross_cats_sorted": [
      "cs.LG",
      "math-ph",
      "math.MP",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-08-15T17:49:24Z",
    "title_canon_sha256": "a1e453b938d82be1018ae565e32695078352621d316bfdfc930f564cd1820170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.08294",
    "kind": "arxiv",
    "version": 4
  }
}