Pith Number

pith:VNMZPJSC

pith:2018:VNMZPJSCQSG6ZND6DMOA4SAKEJ

not attested not anchored not stored refs pending

A note on approximating the nearest stable discrete-time descriptor system with fixed rank

Michael Karow, Nicolas Gillis, Punit Sharma

arxiv:1807.04481 v1 · 2018-07-12 · math.OC · cs.NA · 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{VNMZPJSCQSG6ZND6DMOA4SAKEJ}

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	2026-06-04T19:12:06.837978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5997a642848decb47e1b1c0e480a224bfd90612f896fb24ea6fa6fcbf157da

Aliases

arxiv: 1807.04481 · arxiv_version: 1807.04481v1 · doi: 10.48550/arxiv.1807.04481 · pith_short_12: VNMZPJSCQSG6 · pith_short_16: VNMZPJSCQSG6ZND6 · pith_short_8: VNMZPJSC

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/VNMZPJSCQSG6ZND6DMOA4SAKEJ \
  | 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: ab5997a642848decb47e1b1c0e480a224bfd90612f896fb24ea6fa6fcbf157da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "396eb8b99632fdbdbfe0f4f23ca5c168d22ae5f83c1dafa916280da956143803",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-12T08:56:20Z",
    "title_canon_sha256": "272bd4178cf6c2189f7eea26024f0d40697d3c4e03657335ca0d606729c6c3b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04481",
    "kind": "arxiv",
    "version": 1
  }
}