Pith Number

pith:PQIESDYC

pith:2017:PQIESDYCRU4U4YM5U3Q2COXTGO

not attested not anchored not stored refs pending

Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process

Masahiro Kobayashi, Toshihisa Ozawa

arxiv:1707.05475 v1 · 2017-07-18 · 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{PQIESDYCRU4U4YM5U3Q2COXTGO}

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	2026-05-18T00:40:02.235820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c10490f028d394e619da6e1a13af333926b8cd5290ba6a2a67bba4dca8114f1

Aliases

arxiv: 1707.05475 · arxiv_version: 1707.05475v1 · doi: 10.48550/arxiv.1707.05475 · pith_short_12: PQIESDYCRU4U · pith_short_16: PQIESDYCRU4U4YM5 · pith_short_8: PQIESDYC

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/PQIESDYCRU4U4YM5U3Q2COXTGO \
  | 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: 7c10490f028d394e619da6e1a13af333926b8cd5290ba6a2a67bba4dca8114f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f37d27e250a5818907bf8ff07e6e33f83ea24c5db0aca4af4941ef8e0f6a3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-18T05:32:22Z",
    "title_canon_sha256": "54a5837e561e71dc846b079c786fc9af86784ff71aa9446dc09f5eacae75ee9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05475",
    "kind": "arxiv",
    "version": 1
  }
}