Pith Number

pith:BTJSXLYZ

pith:2020:BTJSXLYZIJ7M5C3UI7J52J4VTN

not attested not anchored not stored refs pending

Advantage of Deep Neural Networks for Estimating Functions with Singularity on Hypersurfaces

Kenji Fukumizu, Masaaki Imaizumi

arxiv:2011.02256 v2 · 2020-11-04 · 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{BTJSXLYZIJ7M5C3UI7J52J4VTN}

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	2026-07-05T03:54:53.851112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd32baf19427ece8b7447d3dd27959b4eb683c8c6f6703cc6996de6ed7a1d3a

Aliases

arxiv: 2011.02256 · arxiv_version: 2011.02256v2 · doi: 10.48550/arxiv.2011.02256 · pith_short_12: BTJSXLYZIJ7M · pith_short_16: BTJSXLYZIJ7M5C3U · pith_short_8: BTJSXLYZ

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/BTJSXLYZIJ7M5C3UI7J52J4VTN \
  | 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: 0cd32baf19427ece8b7447d3dd27959b4eb683c8c6f6703cc6996de6ed7a1d3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d1a3230478b7122af41104b5f8b89f27506d2709ac6f77503ca0f409d07f2f8",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-11-04T12:51:14Z",
    "title_canon_sha256": "9c803189597e473b3e7aca21cb6a9e6ea625411c782648dcb1dd214bec115026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.02256",
    "kind": "arxiv",
    "version": 2
  }
}