Pith Number

pith:ZGUKPGJE

pith:2012:ZGUKPGJE6S6UVPJWCEANJIYV3D

not attested not anchored not stored refs pending

The Generalised Discrete Algebraic Riccati Equation in LQ optimal control

Augusto Ferrante, Lorenzo Ntogramatzidis

arxiv:1201.3704 v1 · 2012-01-18 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGUKPGJE6S6UVPJWCEANJIYV3D}

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	2026-05-18T04:04:18.265723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a8a79924f4bd4abd361100d4a315d8cd8b28bde1ad48c604229ec04f6161f7

Aliases

arxiv: 1201.3704 · arxiv_version: 1201.3704v1 · doi: 10.48550/arxiv.1201.3704 · pith_short_12: ZGUKPGJE6S6U · pith_short_16: ZGUKPGJE6S6UVPJW · pith_short_8: ZGUKPGJE

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/ZGUKPGJE6S6UVPJWCEANJIYV3D \
  | 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: c9a8a79924f4bd4abd361100d4a315d8cd8b28bde1ad48c604229ec04f6161f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ae17ff751ee94cc98e2574835c0184b4bdb5adfa5ae9203d1aed52942cc09c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-01-18T06:36:35Z",
    "title_canon_sha256": "8024f25e83c8992e6a1a3b7605a5a79a3aca6959f00a964615ee160cdd4cc67e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3704",
    "kind": "arxiv",
    "version": 1
  }
}