Pith Number

pith:Y7A744S6

pith:2021:Y7A744S66EGZMXUSQN3RQ3VIA6

not attested not anchored not stored refs pending

Estimation of a regression function on a manifold by fully connected deep neural networks

Michael Kohler, Sophie Langer, Ulrich Reif

arxiv:2107.09532 v1 · 2021-07-20 · math.ST · 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{Y7A744S66EGZMXUSQN3RQ3VIA6}

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	2026-07-05T02:59:32.127218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c1fe725ef10d965e928377186ea8078c975d92ee6d7f2a67beaee4c28fbabf

Aliases

arxiv: 2107.09532 · arxiv_version: 2107.09532v1 · doi: 10.48550/arxiv.2107.09532 · pith_short_12: Y7A744S66EGZ · pith_short_16: Y7A744S66EGZMXUS · pith_short_8: Y7A744S6

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/Y7A744S66EGZMXUSQN3RQ3VIA6 \
  | 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: c7c1fe725ef10d965e928377186ea8078c975d92ee6d7f2a67beaee4c28fbabf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6fdbb792953382898104c877a7ba8d1e1b8c6d75e06bda59db82faa9c02e5c9",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-07-20T14:43:59Z",
    "title_canon_sha256": "4458586038383dbdb3ab95e797a8567dd3c7a4e19dd74cea14ac4c76141eea92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.09532",
    "kind": "arxiv",
    "version": 1
  }
}