Pith Number

pith:PY3IAKXH

pith:2013:PY3IAKXHL37GK7F4IY6XTGGTD3

not attested not anchored not stored refs pending

A sufficient condition for the subexponential asymptotics of GI/G/1-type Markov chains with queueing applications

Hiroyuki Masuyama

arxiv:1310.4590 v3 · 2013-10-17 · 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{PY3IAKXHL37GK7F4IY6XTGGTD3}

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	2026-05-18T02:48:54.854662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e36802ae75efe657cbc463d7998d31ed8e3c45ee5a2d6e0ddd82aafebaa431c

Aliases

arxiv: 1310.4590 · arxiv_version: 1310.4590v3 · doi: 10.48550/arxiv.1310.4590 · pith_short_12: PY3IAKXHL37G · pith_short_16: PY3IAKXHL37GK7F4 · pith_short_8: PY3IAKXH

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/PY3IAKXHL37GK7F4IY6XTGGTD3 \
  | 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: 7e36802ae75efe657cbc463d7998d31ed8e3c45ee5a2d6e0ddd82aafebaa431c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02a9556e96086712503a60c75fbdcd1dfdcf3028355c8013798e81654474cae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-17T06:56:07Z",
    "title_canon_sha256": "09845ccc95f951e91fe2b4cde758a2ed1150e7788fadf2b126b7d22525265e27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4590",
    "kind": "arxiv",
    "version": 3
  }
}