Pith Number

pith:W5K2CGVL

pith:2026:W5K2CGVLEEVMNZZYMLMUNTQXJQ

not attested not anchored not stored refs pending

On the Strong Duality in Continuous-time and Discrete-time Linear Quadratic Regulators

Yang Zheng, Yuto Watanabe

arxiv:2606.17208 v1 · 2026-06-15 · math.OC · cs.SY · eess.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{W5K2CGVLEEVMNZZYMLMUNTQXJQ}

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	2026-06-19T16:10:05.993987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b755a11aab212ac6e73862d946ce174c36407de1bb52f19bddc87f819cb8172d

Aliases

arxiv: 2606.17208 · arxiv_version: 2606.17208v1 · doi: 10.48550/arxiv.2606.17208 · pith_short_12: W5K2CGVLEEVM · pith_short_16: W5K2CGVLEEVMNZZY · pith_short_8: W5K2CGVL

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/W5K2CGVLEEVMNZZYMLMUNTQXJQ \
  | 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: b755a11aab212ac6e73862d946ce174c36407de1bb52f19bddc87f819cb8172d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "500718cb51990fc351f45f42eb4841a187fca694da8258d48bf69146640a1710",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-15T18:47:06Z",
    "title_canon_sha256": "6d2b3a5c2f6a0f7efd3d9f47d14eae6feef5944a124696372320d5016f7cfe82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17208",
    "kind": "arxiv",
    "version": 1
  }
}