Pith Number

pith:AGBZSNKO

pith:2016:AGBZSNKO4Z2MMUZJMNUA3FC3PV

not attested not anchored not stored refs pending

Shift techniques for Quasi-Birth and Death processes: canonical factorizations and matrix equations

Beatrice Meini, Dario A. Bini, Guy Latouche

arxiv:1601.07717 v1 · 2016-01-28 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AGBZSNKO4Z2MMUZJMNUA3FC3PV}

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	2026-06-04T17:09:54.876191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

018399354ee674c6532963680d945b7d450dbc44be8b5d1d00639fd648667a65

Aliases

arxiv: 1601.07717 · arxiv_version: 1601.07717v1 · doi: 10.48550/arxiv.1601.07717 · pith_short_12: AGBZSNKO4Z2M · pith_short_16: AGBZSNKO4Z2MMUZJ · pith_short_8: AGBZSNKO

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/AGBZSNKO4Z2MMUZJMNUA3FC3PV \
  | 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: 018399354ee674c6532963680d945b7d450dbc44be8b5d1d00639fd648667a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad4833e8cdf9b1cce23a5d0bfbb8e943e04578593b64aec7c524ebfaaf012b0a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-01-28T10:37:34Z",
    "title_canon_sha256": "2eaad6abcebd61e4bf26de7b086a43dcea1a33f46e9f06eaa1c868d7a2478bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07717",
    "kind": "arxiv",
    "version": 1
  }
}