Pith Number

pith:K4HOZQU3

pith:2013:K4HOZQU3NWXY2EGJC7JANBYRAO

not attested not anchored not stored refs pending

Poisson's equation for discrete-time quasi-birth-and-death processes

Guy Latouche, Sarah Dendievel, Yuanyuan Liu

arxiv:1308.2444 v1 · 2013-08-12 · 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{K4HOZQU3NWXY2EGJC7JANBYRAO}

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	2026-05-18T03:16:07.385046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570eecc29b6daf8d10c917d2068711038521784b1c0da93e08018d91d175f83f

Aliases

arxiv: 1308.2444 · arxiv_version: 1308.2444v1 · doi: 10.48550/arxiv.1308.2444 · pith_short_12: K4HOZQU3NWXY · pith_short_16: K4HOZQU3NWXY2EGJ · pith_short_8: K4HOZQU3

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/K4HOZQU3NWXY2EGJC7JANBYRAO \
  | 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: 570eecc29b6daf8d10c917d2068711038521784b1c0da93e08018d91d175f83f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea71f00512ffa115d16199b161feed67257fe2b9d13d2294f5056127717ae86d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-12T01:44:05Z",
    "title_canon_sha256": "13626537aadc3ec537777ce5eeba838f67d4dad6c916904bb4b3bafc009f5009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2444",
    "kind": "arxiv",
    "version": 1
  }
}