Pith Number

pith:UXDVY7JW

pith:2019:UXDVY7JWMKMQSM6IVAZ6AJU6A7

not attested not anchored not stored refs pending

Wiener-Hopf Factorization for Time-Inhomogeneous Markov Chains

Igor Cialenco, Ruoting Gong, Tomasz R. Bielecki, Ziteng Cheng

arxiv:1902.10850 v1 · 2019-02-28 · 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{UXDVY7JWMKMQSM6IVAZ6AJU6A7}

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	2026-05-17T23:52:26.524679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5c75c7d3662990933c8a833e0269e07db988d5de7e6113719f69f3b7755c920

Aliases

arxiv: 1902.10850 · arxiv_version: 1902.10850v1 · doi: 10.48550/arxiv.1902.10850 · pith_short_12: UXDVY7JWMKMQ · pith_short_16: UXDVY7JWMKMQSM6I · pith_short_8: UXDVY7JW

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/UXDVY7JWMKMQSM6IVAZ6AJU6A7 \
  | 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: a5c75c7d3662990933c8a833e0269e07db988d5de7e6113719f69f3b7755c920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696cd0cdfd56f4531b9868892b747b79c6ab728fc0c9a6b1541ea9767611c3cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-28T00:41:25Z",
    "title_canon_sha256": "566c6be87632ef79a14dc41b4bd703b94a2c5030acd174d429dd2abe45947015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10850",
    "kind": "arxiv",
    "version": 1
  }
}