Pith Number

pith:IMHUVTFG

pith:2022:IMHUVTFGHEGZ2MZULBGJZUI6MU

not attested not anchored not stored refs pending

On the universal consistency of an over-parametrized deep neural network estimate learned by gradient descent

Michael Kohler, Selina Drews

arxiv:2208.14283 v1 · 2022-08-30 · 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{IMHUVTFGHEGZ2MZULBGJZUI6MU}

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	2026-07-05T04:53:10.651187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430f4acca6390d9d3334584c9cd11e650ae7f992d772026bb933487f96961278

Aliases

arxiv: 2208.14283 · arxiv_version: 2208.14283v1 · doi: 10.48550/arxiv.2208.14283 · pith_short_12: IMHUVTFGHEGZ · pith_short_16: IMHUVTFGHEGZ2MZU · pith_short_8: IMHUVTFG

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/IMHUVTFGHEGZ2MZULBGJZUI6MU \
  | 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: 430f4acca6390d9d3334584c9cd11e650ae7f992d772026bb933487f96961278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696f314a62777e56ae83793990181e30741fc861b7446e403914cc532c6daf71",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-08-30T14:04:49Z",
    "title_canon_sha256": "26c3529daef83fa0664445ee54d2ad8d8911b61b84798beca93a6f51c0581b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.14283",
    "kind": "arxiv",
    "version": 1
  }
}