Pith Number

pith:C22LSHPU

pith:2011:C22LSHPU6YJPK2DT6O2HR2XZPO

not attested not anchored not stored refs pending

Designing MPC controllers by reverse-engineering existing LTI controllers

Edward N. Hartley, Jan M. Maciejowski

arxiv:1109.2816 v1 · 2011-09-13 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C22LSHPU6YJPK2DT6O2HR2XZPO}

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	2026-05-18T04:13:07.631488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b4b91df4f612f56873f3b478eaf97bbdaa9b6e452a3450319563a9a0672505

Aliases

arxiv: 1109.2816 · arxiv_version: 1109.2816v1 · doi: 10.48550/arxiv.1109.2816 · pith_short_12: C22LSHPU6YJP · pith_short_16: C22LSHPU6YJPK2DT · pith_short_8: C22LSHPU

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/C22LSHPU6YJPK2DT6O2HR2XZPO \
  | 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: 16b4b91df4f612f56873f3b478eaf97bbdaa9b6e452a3450319563a9a0672505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8a26aeadf13d3a23ec368797fdc0d65e3dacadb3dbf3a7bd3ed4079cf195b4",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-09-13T15:01:06Z",
    "title_canon_sha256": "707e35c95dc4b3e1d90b8b7a198e6bef2ae51b4412b4b66c3e7450e4239940ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2816",
    "kind": "arxiv",
    "version": 1
  }
}