Pith Number

pith:WBKGUPOF

pith:2013:WBKGUPOFRIFDZ2S2EPTQVJO6CE

not attested not anchored not stored refs pending

Balanced truncation for linear switched systems

John Leth, Mihaly Petreczky, Rafael Wisniewski

arxiv:1302.0221 v2 · 2013-02-01 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBKGUPOFRIFDZ2S2EPTQVJO6CE}

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	2026-05-18T03:30:40.911395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0546a3dc58a0a3cea5a23e70aa5de1104c9be39c17bba827135e28c36e75db9

Aliases

arxiv: 1302.0221 · arxiv_version: 1302.0221v2 · doi: 10.48550/arxiv.1302.0221 · pith_short_12: WBKGUPOFRIFD · pith_short_16: WBKGUPOFRIFDZ2S2 · pith_short_8: WBKGUPOF

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/WBKGUPOFRIFDZ2S2EPTQVJO6CE \
  | 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: b0546a3dc58a0a3cea5a23e70aa5de1104c9be39c17bba827135e28c36e75db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c2de3aae57007c208d2019a2dbd491e98cf8c72d13c2fbe2e22ae5a0c0fddf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-02-01T16:26:55Z",
    "title_canon_sha256": "883ec1a512dff03a9a7671306ab72e1530fab69f017d1647b562ab47a068c2e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0221",
    "kind": "arxiv",
    "version": 2
  }
}