Pith Number

pith:AKUH3CF7

pith:2014:AKUH3CF7HNAPRRJSI2BFY3O6BM

not attested not anchored not stored refs pending

Sparse solution of the Lyapunov equation for large-scale interconnected systems

Aleksandar Haber, Michel Verhaegen

arxiv:1408.3898 v6 · 2014-08-18 · 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{AKUH3CF7HNAPRRJSI2BFY3O6BM}

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	2026-05-18T01:14:45.705953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02a87d88bf3b40f8c53246825c6dde0b2ecf7e30f257f5bc5af025eb86f7b307

Aliases

arxiv: 1408.3898 · arxiv_version: 1408.3898v6 · doi: 10.48550/arxiv.1408.3898 · pith_short_12: AKUH3CF7HNAP · pith_short_16: AKUH3CF7HNAPRRJS · pith_short_8: AKUH3CF7

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/AKUH3CF7HNAPRRJSI2BFY3O6BM \
  | 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: 02a87d88bf3b40f8c53246825c6dde0b2ecf7e30f257f5bc5af025eb86f7b307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30b63ad6df6d24a3d1deec1a502b00d6a6cd19155c5b7379794e445a87a75f68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-08-18T05:03:59Z",
    "title_canon_sha256": "c75a741a6799637446bd83ee141af1f1a8141750d0cdf09b3bd39de296861f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3898",
    "kind": "arxiv",
    "version": 6
  }
}