Pith Number

pith:FL6KVL5X

pith:2015:FL6KVL5XSKRWWLRDUTLFWQBRM2

not attested not anchored not stored refs pending

Clearing Analysis on Phases: Exact Limiting Probabilities for Skip-free, Unidirectional, Quasi-birth-death Processes

Brian Fralix, Mor Harchol-Balter, Sherwin Doroudi

arxiv:1503.05899 v3 · 2015-03-19 · 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{FL6KVL5XSKRWWLRDUTLFWQBRM2}

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	2026-05-18T01:30:34.737447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2afcaaafb792a36b2e23a4d65b403166ab1a6af0d3a278e45d02e3d8a7c495fa

Aliases

arxiv: 1503.05899 · arxiv_version: 1503.05899v3 · doi: 10.48550/arxiv.1503.05899 · pith_short_12: FL6KVL5XSKRW · pith_short_16: FL6KVL5XSKRWWLRD · pith_short_8: FL6KVL5X

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/FL6KVL5XSKRWWLRDUTLFWQBRM2 \
  | 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: 2afcaaafb792a36b2e23a4d65b403166ab1a6af0d3a278e45d02e3d8a7c495fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d4b2762031d8e9644ccbd9a90d0a685f9050f9442e67bb04772630f873009cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-19T19:21:36Z",
    "title_canon_sha256": "ca46e9b52c9fa5dd55c81ff19388df160513fc2c36550de283f330668248dd68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05899",
    "kind": "arxiv",
    "version": 3
  }
}