pith. sign in
Pith Number

pith:YSPRF2MI

pith:2013:YSPRF2MIHXKGKIXBLY64ZVX7H7
not attested not anchored not stored refs pending

LQR based improved discrete PID controller design via optimum selection of weighting matrices using fractional order integral performance index

Amitava Gupta, Indranil Pan, Kaushik Halder, Saptarshi Das, Shantanu Das

arxiv:1301.0931 v1 · 2013-01-05 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YSPRF2MIHXKGKIXBLY64ZVX7H7}

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 2026-05-18T03:36:15.595924Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c49f12e9883dd46522e15e3dccd6ff3fe8dbd1d2c67c5065f84f47ca5a5da634

Aliases

arxiv: 1301.0931 · arxiv_version: 1301.0931v1 · doi: 10.48550/arxiv.1301.0931 · pith_short_12: YSPRF2MIHXKG · pith_short_16: YSPRF2MIHXKGKIXB · pith_short_8: YSPRF2MI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YSPRF2MIHXKGKIXBLY64ZVX7H7 \
  | 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: c49f12e9883dd46522e15e3dccd6ff3fe8dbd1d2c67c5065f84f47ca5a5da634
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f3d33df65453ad6118d61dc5c5e8ea61e67f9370e52d3bedc1e4ba1d5a4cdfb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-01-05T18:56:45Z",
    "title_canon_sha256": "d130ae5321a42887b5ab85b14ad3f4f5f60cb7debc10a7d0db62cc34b4004ffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0931",
    "kind": "arxiv",
    "version": 1
  }
}