Pith Number

pith:NMTKYK7Y

pith:2021:NMTKYK7YLRW2UHD4UGJWMNSZRT

not attested not anchored not stored refs pending

Realization-Stability Lemma for Controller Synthesis

Shih-Hao Tseng

arxiv:2112.02005 v2 · 2021-12-03 · 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{NMTKYK7YLRW2UHD4UGJWMNSZRT}

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	2026-07-05T03:55:50.710697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b26ac2bf85c6daa1c7ca1936636598ce09c914d465f916b0d00e5d73c77c105

Aliases

arxiv: 2112.02005 · arxiv_version: 2112.02005v2 · doi: 10.48550/arxiv.2112.02005 · pith_short_12: NMTKYK7YLRW2 · pith_short_16: NMTKYK7YLRW2UHD4 · pith_short_8: NMTKYK7Y

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/NMTKYK7YLRW2UHD4UGJWMNSZRT \
  | 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: 6b26ac2bf85c6daa1c7ca1936636598ce09c914d465f916b0d00e5d73c77c105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d40f0963f1fa9a7f090b9343bbd4b9ed431db28e31e85bfea7e27959cab34753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-12-03T16:37:35Z",
    "title_canon_sha256": "6e3f7483df730d23416d121d6422bd9fe0029c8fe567122b0269462dc133f7e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.02005",
    "kind": "arxiv",
    "version": 2
  }
}