Pith Number

pith:VGS27JPE

pith:2019:VGS27JPEBSYW5ZQUO4EBUVSHMM

not attested not anchored not stored refs pending

Adaptive Approximation and Generalization of Deep Neural Network with Intrinsic Dimensionality

Masaaki Imaizumi, Ryumei Nakada

arxiv:1907.02177 v3 · 2019-07-04 · 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{VGS27JPEBSYW5ZQUO4EBUVSHMM}

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	2026-07-05T01:36:06.709040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a5afa5e40cb16ee61477081a5647631ffca7cd42547aed759305922ad78a42

Aliases

arxiv: 1907.02177 · arxiv_version: 1907.02177v3 · doi: 10.48550/arxiv.1907.02177 · pith_short_12: VGS27JPEBSYW · pith_short_16: VGS27JPEBSYW5ZQU · pith_short_8: VGS27JPE

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/VGS27JPEBSYW5ZQUO4EBUVSHMM \
  | 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: a9a5afa5e40cb16ee61477081a5647631ffca7cd42547aed759305922ad78a42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a8042745a1a5e40127e71a5d2937753ba3ecd7490ba6651607be092b9549bb",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-07-04T01:10:58Z",
    "title_canon_sha256": "c46c6b47710af82d5337fb62b7da9b012f280687d6af13d7899c7b067ca52efd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02177",
    "kind": "arxiv",
    "version": 3
  }
}