Pith Number

pith:JXEAKVLL

pith:2024:JXEAKVLL6EDPWE7NLEF6XJOBF5

not attested not anchored not stored refs pending

Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss

Juncai He, Yahong Yang

arxiv:2402.00152 v5 · 2024-01-31 · cs.LG · cs.NA · math.NA · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXEAKVLL6EDPWE7NLEF6XJOBF5}

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	2026-06-10T01:10:55.265872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dc805556bf106fb13ed590beba5c12f411dd46f4d8ec626749d25cdb3d42c1c

Aliases

arxiv: 2402.00152 · arxiv_version: 2402.00152v5 · doi: 10.48550/arxiv.2402.00152 · pith_short_12: JXEAKVLL6EDP · pith_short_16: JXEAKVLL6EDPWE7N · pith_short_8: JXEAKVLL

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/JXEAKVLL6EDPWE7NLEF6XJOBF5 \
  | 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: 4dc805556bf106fb13ed590beba5c12f411dd46f4d8ec626749d25cdb3d42c1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a07b07791dc99eca81b23be1879970ac06fc47d82fd48e1b978bdb5b626c40a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-01-31T20:10:10Z",
    "title_canon_sha256": "15251515dc8f8099a1c0fc5065a4979c0b2ef0a5ec902965a46d09dc3d0145ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.00152",
    "kind": "arxiv",
    "version": 5
  }
}