Pith Number

pith:NOGROMQZ

pith:2011:NOGROMQZZQLTJCOELQXM5ZNLQN

not attested not anchored not stored refs pending

Positive recurrence of piecewise Ornstein-Uhlenbeck processes and common quadratic Lyapunov functions

A. B. Dieker, Xuefeng Gao

arxiv:1107.2873 v3 · 2011-07-14 · 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{NOGROMQZZQLTJCOELQXM5ZNLQN}

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	2026-05-18T03:18:32.094155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b8d173219cc173489c45c2ecee5ab834974e60ed1134a4ee3c3358217423a73

Aliases

arxiv: 1107.2873 · arxiv_version: 1107.2873v3 · doi: 10.48550/arxiv.1107.2873 · pith_short_12: NOGROMQZZQLT · pith_short_16: NOGROMQZZQLTJCOE · pith_short_8: NOGROMQZ

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/NOGROMQZZQLTJCOELQXM5ZNLQN \
  | 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: 6b8d173219cc173489c45c2ecee5ab834974e60ed1134a4ee3c3358217423a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d1d653c44e5a5ed6463e23ef14305ee7efbdef36482d245edd4adb26d90833a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-14T17:16:34Z",
    "title_canon_sha256": "a05ffda194f3d07fe3d0898b38727022b2afadfcf579b2a0e686e57ed935543b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2873",
    "kind": "arxiv",
    "version": 3
  }
}