Pith Number

pith:ZQIWRUMB

pith:2009:ZQIWRUMBNEY5KG4XVQ3TTQFVUV

not attested not anchored not stored refs pending

A general stability criterion for switched linear systems having stable and unstable subsystems

Anthony G. O'Farrell, Jesus San Martin

arxiv:0905.0650 v2 · 2009-05-05 · 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{ZQIWRUMBNEY5KG4XVQ3TTQFVUV}

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	2026-05-18T02:59:45.721709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1168d1816931d51b97ac3739c0b5a54453bcd77d72ff6d42da82f9c34d2346

Aliases

arxiv: 0905.0650 · arxiv_version: 0905.0650v2 · doi: 10.48550/arxiv.0905.0650 · pith_short_12: ZQIWRUMBNEY5 · pith_short_16: ZQIWRUMBNEY5KG4X · pith_short_8: ZQIWRUMB

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/ZQIWRUMBNEY5KG4XVQ3TTQFVUV \
  | 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: cc1168d1816931d51b97ac3739c0b5a54453bcd77d72ff6d42da82f9c34d2346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf298d773b7cc65fe4f395a4cbaa293c71694563749b8a1dfe7bdbab2ce6243",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-05-05T16:49:43Z",
    "title_canon_sha256": "0bca9d23ab3a873a3b17ded7cfc5a4c4269aa916f0602e793c9e401dd5e46dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0650",
    "kind": "arxiv",
    "version": 2
  }
}