Pith Number

pith:3MNH4IIH

pith:2014:3MNH4IIHBH7CIVOVYGL4HJO4FK

not attested not anchored not stored refs pending

The Discrete-Time Generalized Algebraic Riccati Equation: Order Reduction and Solutions' Structure

Augusto Ferrante, Lorenzo Ntogramatzidis

arxiv:1409.6409 v1 · 2014-09-23 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MNH4IIHBH7CIVOVYGL4HJO4FK}

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	2026-05-18T02:42:07.184105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1a7e210709fe2455d5c197c3a5dc2aad5c9c12cf81a7ccc05e1936ff7e2def

Aliases

arxiv: 1409.6409 · arxiv_version: 1409.6409v1 · doi: 10.48550/arxiv.1409.6409 · pith_short_12: 3MNH4IIHBH7C · pith_short_16: 3MNH4IIHBH7CIVOV · pith_short_8: 3MNH4IIH

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/3MNH4IIHBH7CIVOVYGL4HJO4FK \
  | 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: db1a7e210709fe2455d5c197c3a5dc2aad5c9c12cf81a7ccc05e1936ff7e2def

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbe41a4d6389b6fd9eb815b8abdeff4538a4f6dac3c551d997367fce89ae78c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-09-23T04:28:17Z",
    "title_canon_sha256": "bf60dcb9de580491670ee1ceb23f86ee89c2573e2dd8f239f3a242540473b226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6409",
    "kind": "arxiv",
    "version": 1
  }
}