Pith Number

pith:RWTNBAFP

pith:2012:RWTNBAFPFM6SBCHV6EAC6JHVPP

not attested not anchored not stored refs pending

Stability of multidimensional skip-free Markov modulated reflecting random walks: Revisit to Malyshev and Menshikov's results and application to queueing networks

Toshihisa Ozawa

arxiv:1208.3043 v4 · 2012-08-15 · 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{RWTNBAFPFM6SBCHV6EAC6JHVPP}

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	2026-05-18T02:27:06.086817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8da6d080af2b3d2088f5f1002f24f57bd814683366564b79669029999791b0cc

Aliases

arxiv: 1208.3043 · arxiv_version: 1208.3043v4 · doi: 10.48550/arxiv.1208.3043 · pith_short_12: RWTNBAFPFM6S · pith_short_16: RWTNBAFPFM6SBCHV · pith_short_8: RWTNBAFP

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/RWTNBAFPFM6SBCHV6EAC6JHVPP \
  | 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: 8da6d080af2b3d2088f5f1002f24f57bd814683366564b79669029999791b0cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8619a31dbc85ef10a494b5886ed32ed94cede4cf65a81eeb30b1bd362109fea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-15T06:46:12Z",
    "title_canon_sha256": "afb7c1c040a36afd2a3e7fdf493e25491eefcc45b2a4fbae7bf8a7319679e83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3043",
    "kind": "arxiv",
    "version": 4
  }
}