Pith Number

pith:67VCXH5A

pith:2016:67VCXH5A7DBWAYG6OQP2RVOX5X

not attested not anchored not stored refs pending

Limit formulas for the normalized fundamental matrix of the northwest-corner truncation of Markov chains: Matrix-infinite-product-form solutions of block-Hessenberg Markov chains

Hiroyuki Masuyama

arxiv:1603.07787 v7 · 2016-03-25 · 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{67VCXH5A7DBWAYG6OQP2RVOX5X}

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	2026-05-17T23:58:59.500376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ea2b9fa0f8c36060de741fa8d5d7edd9430a01092a5978242519d4ed45c648

Aliases

arxiv: 1603.07787 · arxiv_version: 1603.07787v7 · doi: 10.48550/arxiv.1603.07787 · pith_short_12: 67VCXH5A7DBW · pith_short_16: 67VCXH5A7DBWAYG6 · pith_short_8: 67VCXH5A

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/67VCXH5A7DBWAYG6OQP2RVOX5X \
  | 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: f7ea2b9fa0f8c36060de741fa8d5d7edd9430a01092a5978242519d4ed45c648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ecef364aad138449fedabec4b4ee744065b8cce1e761f9dfb8d6d415bc1fd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-25T00:34:49Z",
    "title_canon_sha256": "e26a880843c457ef796bbc769f0c0e082266692cfab0f921cc4c33ef7b7f2c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07787",
    "kind": "arxiv",
    "version": 7
  }
}