Pith Number

pith:FPCCW4QC

pith:2026:FPCCW4QCHRQRQWBB4RPVBTBTSN

not attested not anchored not stored refs pending

Model Reduction for Switched Linear Systems via Generalized Lyapunov Equations

Benjamin Unger, Mattia Manucci

arxiv:2601.13039 v2 · 2026-01-19 · 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{FPCCW4QCHRQRQWBB4RPVBTBTSN}

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	2026-05-20T00:00:32.118959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc42b72023c61185821e45f50cc33936e778361fac46065affcefc035251e11

Aliases

arxiv: 2601.13039 · arxiv_version: 2601.13039v2 · doi: 10.48550/arxiv.2601.13039 · pith_short_12: FPCCW4QCHRQR · pith_short_16: FPCCW4QCHRQRQWBB · pith_short_8: FPCCW4QC

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/FPCCW4QCHRQRQWBB4RPVBTBTSN \
  | 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: 2bc42b72023c61185821e45f50cc33936e778361fac46065affcefc035251e11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3cd8d008648bd49c2dae78a28818f5f3b12e86774b816e232093b6746ee26a6",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-01-19T13:21:48Z",
    "title_canon_sha256": "ed23f16be35e76df288f13101e9c97eccdd13e1e296fbb00f44b017ff1fb0db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.13039",
    "kind": "arxiv",
    "version": 2
  }
}