Pith Number

pith:B6UJ2OJI

pith:2025:B6UJ2OJIPIQMFRJUVEF5ONU3ZB

not attested not anchored not stored refs pending

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system

Fan Wu, Xin Zhang, Xun Li

arxiv:2509.09358 v1 · 2025-09-11 · 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{B6UJ2OJIPIQMFRJUVEF5ONU3ZB}

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	2026-07-05T12:09:34.892835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fa89d39287a20c2c534a90bd7369bc87f47e936b2f8fd82e84f9b1a03c7c208

Aliases

arxiv: 2509.09358 · arxiv_version: 2509.09358v1 · doi: 10.48550/arxiv.2509.09358 · pith_short_12: B6UJ2OJIPIQM · pith_short_16: B6UJ2OJIPIQMFRJU · pith_short_8: B6UJ2OJI

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/B6UJ2OJIPIQMFRJUVEF5ONU3ZB \
  | 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: 0fa89d39287a20c2c534a90bd7369bc87f47e936b2f8fd82e84f9b1a03c7c208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "541185c357e0879f6422db81314a6f177db2bb5ade9f183f6653bc96ec2778d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-11T11:12:57Z",
    "title_canon_sha256": "389b6e3c3654b1f93b76daa9e81068f2ea2668ee720c34d5006088ce0dc405da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09358",
    "kind": "arxiv",
    "version": 1
  }
}