Pith Number

pith:U5SSYXMY

pith:2017:U5SSYXMYAJWK74CLOCPA2QXXY6

not attested not anchored not stored refs pending

Balanced truncation for linear switched systems

Athanasios C. Antoulas, Christophe Fiter, Ion Victor Gosea, Mihaly Petreczky

arxiv:1712.02158 v1 · 2017-12-06 · math.NA · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5SSYXMYAJWK74CLOCPA2QXXY6}

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	2026-05-18T00:28:39.024147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7652c5d98026caff04b709e0d42f7c79fec8cb05bc345832987f3cf70c59a46

Aliases

arxiv: 1712.02158 · arxiv_version: 1712.02158v1 · doi: 10.48550/arxiv.1712.02158 · pith_short_12: U5SSYXMYAJWK · pith_short_16: U5SSYXMYAJWK74CL · pith_short_8: U5SSYXMY

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/U5SSYXMYAJWK74CLOCPA2QXXY6 \
  | 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: a7652c5d98026caff04b709e0d42f7c79fec8cb05bc345832987f3cf70c59a46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f49cc6d8ee0ec843d5d40e2997d8441d050afe4820b7b237aea4d8fb0a3f414",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-06T12:34:31Z",
    "title_canon_sha256": "883ec1a512dff03a9a7671306ab72e1530fab69f017d1647b562ab47a068c2e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02158",
    "kind": "arxiv",
    "version": 1
  }
}