Pith Number

pith:NZPHDLHQ

pith:2012:NZPHDLHQQWF2AR4UU67IE6LNAI

not attested not anchored not stored refs pending

A Note on Indefinite Stochastic Riccati Equations

Xun Yu Zhou, Zhongmin Qian

arxiv:1203.3857 v1 · 2012-03-17 · 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{NZPHDLHQQWF2AR4UU67IE6LNAI}

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	2026-05-18T03:59:48.802170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e5e71acf0858ba04794a7be82796d022ee7731f442381b3f1dc5e3b88e42018

Aliases

arxiv: 1203.3857 · arxiv_version: 1203.3857v1 · doi: 10.48550/arxiv.1203.3857 · pith_short_12: NZPHDLHQQWF2 · pith_short_16: NZPHDLHQQWF2AR4U · pith_short_8: NZPHDLHQ

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/NZPHDLHQQWF2AR4UU67IE6LNAI \
  | 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: 6e5e71acf0858ba04794a7be82796d022ee7731f442381b3f1dc5e3b88e42018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6637ea6a56e7d6906241b28e3fa686c7b6745863db95608b4eb450b7ce8dd5d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-17T11:54:05Z",
    "title_canon_sha256": "86b7dd138b32e1125b728d11c4247108f1a18b4baabfcd8b1453b32279f6893b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3857",
    "kind": "arxiv",
    "version": 1
  }
}