Pith Number

pith:UQLMNJA2

pith:2014:UQLMNJA2D5PMKTJ57J6FAEGWVM

not attested not anchored not stored refs pending

Subexponential Asymptotics of the Stationary Distributions of GI/G/1-Type Markov Chains

Hiroyuki Masuyama, Tatsuaki Kimura, Yutaka Takahashi

arxiv:1410.5554 v3 · 2014-10-21 · 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{UQLMNJA2D5PMKTJ57J6FAEGWVM}

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	2026-05-18T01:12:15.060168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a416c6a41a1f5ec54d3dfa7c5010d6ab03951ac150b357509c9e36d768dcab79

Aliases

arxiv: 1410.5554 · arxiv_version: 1410.5554v3 · doi: 10.48550/arxiv.1410.5554 · pith_short_12: UQLMNJA2D5PM · pith_short_16: UQLMNJA2D5PMKTJ5 · pith_short_8: UQLMNJA2

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/UQLMNJA2D5PMKTJ57J6FAEGWVM \
  | 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: a416c6a41a1f5ec54d3dfa7c5010d6ab03951ac150b357509c9e36d768dcab79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26e1ec1cf343efc5dc14c16c71f26b46b7931e85d94ce2f64ec0bf33f27eb96c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-21T06:54:53Z",
    "title_canon_sha256": "ffd59118e7395c3e4c2228ba29471e33c6a439d1ea450b29379d7a0bc41be889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5554",
    "kind": "arxiv",
    "version": 3
  }
}