Pith Number

pith:P77WZHA7

pith:2020:P77WZHA7O24J5JPMNGDNC2SX6S

not attested not anchored not stored refs pending

Universal Approximation Power of Deep Residual Neural Networks via Nonlinear Control Theory

Bahman Gharesifard, Paulo Tabuada

arxiv:2007.06007 v4 · 2020-07-12 · cs.LG · cs.SY · eess.SY · math.OC · 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{P77WZHA7O24J5JPMNGDNC2SX6S}

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

3 papers in Pith

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations

Control, Optimal Transport and Neural Differential Equations in Supervised Learning

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations

Receipt and verification

First computed	2026-07-05T07:43:06.254602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fff6c9c1f76b89ea5ec6986d16a57f4a1f2ae83ff289a4e762641b8cee322cb

Aliases

arxiv: 2007.06007 · arxiv_version: 2007.06007v4 · doi: 10.48550/arxiv.2007.06007 · pith_short_12: P77WZHA7O24J · pith_short_16: P77WZHA7O24J5JPM · pith_short_8: P77WZHA7

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/P77WZHA7O24J5JPMNGDNC2SX6S \
  | 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: 7fff6c9c1f76b89ea5ec6986d16a57f4a1f2ae83ff289a4e762641b8cee322cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f866744a0baeabe215ea2b50fc08de299c9928f746eb33d4594f490840af57d",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-07-12T14:53:30Z",
    "title_canon_sha256": "15001cccb00947bcf25d0ebe9059a13aa52f252da7edfcf3fdd58e04b19a1d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06007",
    "kind": "arxiv",
    "version": 4
  }
}