Pith Number

pith:T2OL4JYI

pith:2010:T2OL4JYI2C76GOQUDJ7OZ36YUD

not attested not anchored not stored refs pending

Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space

Boumediene Hamzi, Jake Bouvrie

arxiv:1011.2952 v1 · 2010-11-12 · math.OC · math.DS · 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{T2OL4JYI2C76GOQUDJ7OZ36YUD}

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	2026-05-18T04:20:04.725252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9cbe2708d0bfe33a141a7eecefd8a0f0ec506319b10d2d3a02e4a35619042d

Aliases

arxiv: 1011.2952 · arxiv_version: 1011.2952v1 · doi: 10.48550/arxiv.1011.2952 · pith_short_12: T2OL4JYI2C76 · pith_short_16: T2OL4JYI2C76GOQU · pith_short_8: T2OL4JYI

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/T2OL4JYI2C76GOQUDJ7OZ36YUD \
  | 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: 9e9cbe2708d0bfe33a141a7eecefd8a0f0ec506319b10d2d3a02e4a35619042d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b42edd9d96fe29bee3624c3e1f9b22ea1cfe9bbcf36a24d5c0a1fd96c426a6c",
    "cross_cats_sorted": [
      "math.DS",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-11-12T15:34:22Z",
    "title_canon_sha256": "e9e0d8afd518339c86eec52773636426f3c612285ccea821a9559d2611de5457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2952",
    "kind": "arxiv",
    "version": 1
  }
}