Pith Number

pith:IP2V4IXM

pith:2021:IP2V4IXMUBVXLXYVU5ZKVKWDF3

not attested not anchored not stored refs pending

Can stable and accurate neural networks be computed? -- On the barriers of deep learning and Smale's 18th problem

Anders C. Hansen, Matthew J. Colbrook, Vegard Antun

arxiv:2101.08286 v2 · 2021-01-20 · cs.LG · cs.CV · cs.NA · cs.NE · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IP2V4IXMUBVXLXYVU5ZKVKWDF3}

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.

Cited by

1 paper in Pith

On the computation of geometric features of spectra of linear operators on Hilbert spaces

Receipt and verification

First computed	2026-07-05T04:10:34.702547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f55e22eca06b75df15a772aaaac32ecc286e2403cf3568bf0f58c5c9963fbc

Aliases

arxiv: 2101.08286 · arxiv_version: 2101.08286v2 · doi: 10.48550/arxiv.2101.08286 · pith_short_12: IP2V4IXMUBVX · pith_short_16: IP2V4IXMUBVXLXYV · pith_short_8: IP2V4IXM

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/IP2V4IXMUBVXLXYVU5ZKVKWDF3 \
  | 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: 43f55e22eca06b75df15a772aaaac32ecc286e2403cf3568bf0f58c5c9963fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98abffa01b4800cef450485547571fff052c9267abc84006166f95598e17593b",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.NA",
      "cs.NE",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-01-20T19:04:17Z",
    "title_canon_sha256": "0def71399953bb361c829c8e8f592b3518d39e648a5de1f65ba170bfaa3e32dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08286",
    "kind": "arxiv",
    "version": 2
  }
}