Pith Number

pith:2KFKC4XU

pith:2017:2KFKC4XUCIXZFCZ5HW64YNVQMR

not attested not anchored not stored refs pending

Numerical solution of Lyapunov equations related to Markov jump linear systems

Axel Vierling, Kazuhiro Sato, Tobias Damm

arxiv:1703.04459 v1 · 2017-03-13 · math.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{2KFKC4XUCIXZFCZ5HW64YNVQMR}

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	2026-05-18T00:48:48.572622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d28aa172f4122f928b3d3dbdcc36b0647d8a50297b8ff50fb7e6f4d2acfbd236

Aliases

arxiv: 1703.04459 · arxiv_version: 1703.04459v1 · doi: 10.48550/arxiv.1703.04459 · pith_short_12: 2KFKC4XUCIXZ · pith_short_16: 2KFKC4XUCIXZFCZ5 · pith_short_8: 2KFKC4XU

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/2KFKC4XUCIXZFCZ5HW64YNVQMR \
  | 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: d28aa172f4122f928b3d3dbdcc36b0647d8a50297b8ff50fb7e6f4d2acfbd236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a35552f1f1640e9b68bfbf9175cdc917a28e9790f7422bccfbe2e2ed2bdf1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-03-13T15:50:55Z",
    "title_canon_sha256": "d48e48c99b354178e07ec3af9df7b0715abd9fb5581ca76338347a9467545bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04459",
    "kind": "arxiv",
    "version": 1
  }
}