Pith Number

pith:V7LODHYV

pith:2013:V7LODHYVB7ZJH3GYNFT3BY7MM3

not attested not anchored not stored refs pending

Minimal state space realization, static output feedback and matrix completion of families of systems

Daniel Alpay, Izchak Lewkowicz

arxiv:1305.1756 v2 · 2013-05-08 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7LODHYVB7ZJH3GYNFT3BY7MM3}

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	2026-05-18T03:10:36.805300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd6e19f150ff293ecd86967b0e3ec66c1a32bed13e90b68bbb221b55a54b60f

Aliases

arxiv: 1305.1756 · arxiv_version: 1305.1756v2 · doi: 10.48550/arxiv.1305.1756 · pith_short_12: V7LODHYVB7ZJ · pith_short_16: V7LODHYVB7ZJH3GY · pith_short_8: V7LODHYV

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/V7LODHYVB7ZJH3GYNFT3BY7MM3 \
  | 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: afd6e19f150ff293ecd86967b0e3ec66c1a32bed13e90b68bbb221b55a54b60f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "557e51238473fa8049350a4a7e9920329887b23c0c424821085192bb31eabade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-05-08T09:34:06Z",
    "title_canon_sha256": "eaf34c59397820d5992d6da5ecee5854ec057242669d315cbea2d780cd17c913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1756",
    "kind": "arxiv",
    "version": 2
  }
}