Pith Number

pith:SPBR4TVE

pith:2018:SPBR4TVEP65AIGRIR5IZ76IOWI

not attested not anchored not stored refs pending

Wiener-Hopf factorization for time-inhomogeneous Markov chains and its application

Igor Cialenco, Ruoting Gong, Tomasz R. Bielecki, Yicong Huang

arxiv:1801.05553 v2 · 2018-01-17 · 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{SPBR4TVEP65AIGRIR5IZ76IOWI}

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	2026-05-18T00:23:52.124878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c31e4ea47fba041a288f519ff90eb22e84748b57575ea01d89964c7c03a781

Aliases

arxiv: 1801.05553 · arxiv_version: 1801.05553v2 · doi: 10.48550/arxiv.1801.05553 · pith_short_12: SPBR4TVEP65A · pith_short_16: SPBR4TVEP65AIGRI · pith_short_8: SPBR4TVE

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/SPBR4TVEP65AIGRIR5IZ76IOWI \
  | 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: 93c31e4ea47fba041a288f519ff90eb22e84748b57575ea01d89964c7c03a781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eea91759d410d7834b742c7bf23f964d685b4f96c12e8e890b2f18d1823c348",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-17T05:12:10Z",
    "title_canon_sha256": "1075b592c4bcc87aba95de7c6b16871fd0d6d326e5feb127b68b8d413e965ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05553",
    "kind": "arxiv",
    "version": 2
  }
}