Pith Number

pith:4RIW4T6H

pith:2026:4RIW4T6HJD23BPMDZXKWYAPCXC

not attested not anchored not stored refs pending

Hautus-Type Criteria for Controllability and Stabilizability of Backward-Structured Stochastic Systems

Jingrui Sun

arxiv:2605.28242 v1 · 2026-05-27 · 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{4RIW4T6HJD23BPMDZXKWYAPCXC}

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	2026-05-28T01:05:03.852450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4516e4fc748f5b0bd83cdd56c01e2b8902f469c076119ba3267d38289bb83ab

Aliases

arxiv: 2605.28242 · arxiv_version: 2605.28242v1 · doi: 10.48550/arxiv.2605.28242 · pith_short_12: 4RIW4T6HJD23 · pith_short_16: 4RIW4T6HJD23BPMD · pith_short_8: 4RIW4T6H

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/4RIW4T6HJD23BPMDZXKWYAPCXC \
  | 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: e4516e4fc748f5b0bd83cdd56c01e2b8902f469c076119ba3267d38289bb83ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6bc674888a7df6e1bee26cf0e96422eb9dddc9a91545bb40c9a6430bfa15cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-27T09:57:08Z",
    "title_canon_sha256": "34e39dd40e62d0fcca50cbcc6fd58693676862ddb954a3415d69cccbe3891e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28242",
    "kind": "arxiv",
    "version": 1
  }
}