Pith Number

pith:WRCAJD6P

pith:2017:WRCAJD6PR2IM6EEWTZKSHBBFFQ

not attested not anchored not stored refs pending

On Linear Quadratic Optimal Control of Discrete-Time Complex-Valued Linear Systems

Bin Zhou

arxiv:1709.05033 v1 · 2017-09-15 · 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{WRCAJD6PR2IM6EEWTZKSHBBFFQ}

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	2026-05-18T00:35:06.885229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b444048fcf8e90cf10969e552384252c30d3457027accb613f050494e9b6f773

Aliases

arxiv: 1709.05033 · arxiv_version: 1709.05033v1 · doi: 10.48550/arxiv.1709.05033 · pith_short_12: WRCAJD6PR2IM · pith_short_16: WRCAJD6PR2IM6EEW · pith_short_8: WRCAJD6P

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/WRCAJD6PR2IM6EEWTZKSHBBFFQ \
  | 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: b444048fcf8e90cf10969e552384252c30d3457027accb613f050494e9b6f773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3348aac1325432456ab0da29050efce54fe950d7478caa5a6b9f1493777df30d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-15T02:17:59Z",
    "title_canon_sha256": "f5e6eac8343e0bf3b4b3a1218dd43f338396de420d3d7e54372cc9794ac3b862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05033",
    "kind": "arxiv",
    "version": 1
  }
}