Pith Number

pith:R4BHXG7Z

pith:2018:R4BHXG7Z3LOISGNIQRY474TUBB

not attested not anchored not stored refs pending

Some Insights on Synthesizing Optimal Linear Quadratic Controller Using Krotov's Sufficiency Conditions

Avinash Kumar, Tushar Jain

arxiv:1807.02631 v2 · 2018-07-07 · 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{R4BHXG7Z3LOISGNIQRY474TUBB}

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	2026-05-17T23:49:57.177333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f027b9bf9dadc8919a88471cff274086e4f4528078fb858f7d96e1faa47149b

Aliases

arxiv: 1807.02631 · arxiv_version: 1807.02631v2 · doi: 10.48550/arxiv.1807.02631 · pith_short_12: R4BHXG7Z3LOI · pith_short_16: R4BHXG7Z3LOISGNI · pith_short_8: R4BHXG7Z

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/R4BHXG7Z3LOISGNIQRY474TUBB \
  | 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: 8f027b9bf9dadc8919a88471cff274086e4f4528078fb858f7d96e1faa47149b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91e4af47a7176bc9223314319ba16b23bb42da601f8525d4937cee7451a99d90",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-07T08:13:56Z",
    "title_canon_sha256": "c81c9d0ac1f15e75859bbfcaf2989ee3b43ead488f3179039f6f6084ef3cd5c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02631",
    "kind": "arxiv",
    "version": 2
  }
}