Pith Number

pith:KFBQ7PAM

pith:2016:KFBQ7PAMQR75Q7QGKBEPASKMZQ

not attested not anchored not stored refs pending

Simple error bounds for the QBD approximation of a special class of two dimensional reflecting random walks

Hiroyuki Masuyama, Masahiro Kobayashi, Yutaka Sakuma

arxiv:1611.02407 v2 · 2016-11-08 · 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{KFBQ7PAMQR75Q7QGKBEPASKMZQ}

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	2026-05-18T00:59:41.426619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51430fbc0c847fd87e065048f0494ccc1a7d227b8a606d8df9ba90c24b19df0a

Aliases

arxiv: 1611.02407 · arxiv_version: 1611.02407v2 · doi: 10.48550/arxiv.1611.02407 · pith_short_12: KFBQ7PAMQR75 · pith_short_16: KFBQ7PAMQR75Q7QG · pith_short_8: KFBQ7PAM

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/KFBQ7PAMQR75Q7QGKBEPASKMZQ \
  | 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: 51430fbc0c847fd87e065048f0494ccc1a7d227b8a606d8df9ba90c24b19df0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b1f6376099a367e8e6c98d12dbc0d93885f343236f0f863833adee1f810791f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-08T06:50:19Z",
    "title_canon_sha256": "9202b4a59ae08769a6556746d7121366964d5ace5d74507e2e852d7bf2db186c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02407",
    "kind": "arxiv",
    "version": 2
  }
}