Pith Number

pith:XYZ3D4LJ

pith:2007:XYZ3D4LJPB4URHQQJTDWDIT3DT

not attested not anchored not stored refs pending

Infinite Horizon and Ergodic Optimal Quadratic Control for an Affine Equation with Stochastic Coefficients

Federica Masiero, Giuseppina Guatteri

arxiv:0707.0606 v2 · 2007-07-04 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYZ3D4LJPB4URHQQJTDWDIT3DT}

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	2026-05-18T03:28:43.360271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be33b1f1697879489e104cc761a27b1cfded22c2fa05d490e22865543360d1b5

Aliases

arxiv: 0707.0606 · arxiv_version: 0707.0606v2 · doi: 10.48550/arxiv.0707.0606 · pith_short_12: XYZ3D4LJPB4U · pith_short_16: XYZ3D4LJPB4URHQQ · pith_short_8: XYZ3D4LJ

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/XYZ3D4LJPB4URHQQJTDWDIT3DT \
  | 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: be33b1f1697879489e104cc761a27b1cfded22c2fa05d490e22865543360d1b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e51e1bfa8d6b0fbf153e376538df4180b8e6051c7ee83ba3528a39fa51bb51e0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-07-04T13:16:26Z",
    "title_canon_sha256": "f0af1545d5782ee52af2aa0864c94326262f104c31dceeb1642027059f9cdce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0606",
    "kind": "arxiv",
    "version": 2
  }
}