Pith Number

pith:KZEIK3E4

pith:2019:KZEIK3E4IK4PK6EVIQI4MW4FLP

not attested not anchored not stored refs pending

A sequential update algorithm for computing the stationary distribution vector in upper block-Hessenberg Markov chains

Hiroyuki Masuyama

arxiv:1901.02972 v3 · 2019-01-09 · 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{KZEIK3E4IK4PK6EVIQI4MW4FLP}

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	2026-05-17T23:50:02.333290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5648856c9c42b8f578954411c65b855bfb56caaedc71657ec0efd1e216f2122b

Aliases

arxiv: 1901.02972 · arxiv_version: 1901.02972v3 · doi: 10.48550/arxiv.1901.02972 · pith_short_12: KZEIK3E4IK4P · pith_short_16: KZEIK3E4IK4PK6EV · pith_short_8: KZEIK3E4

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/KZEIK3E4IK4PK6EVIQI4MW4FLP \
  | 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: 5648856c9c42b8f578954411c65b855bfb56caaedc71657ec0efd1e216f2122b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e74ccc667aed7fb8fa61ce665c0920a66b96cf7a293fd063d7889052ea561d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-09T23:38:32Z",
    "title_canon_sha256": "ebd542f5aa0ba70888fd9fd651a6c641701eb00a18562ac63145c03d081bb214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02972",
    "kind": "arxiv",
    "version": 3
  }
}