Pith Number

pith:PNYDPGS4

pith:2012:PNYDPGS4IHZHR66EA6KTEGNGAH

not attested not anchored not stored refs pending

State space realization of even generalized positive and odd rational function. Applications to static output feedback

Daniel Alpay, Izchak Lewkowicz

arxiv:1202.1099 v1 · 2012-02-06 · math.OC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNYDPGS4IHZHR66EA6KTEGNGAH}

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	2026-05-18T04:03:05.062851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b70379a5c41f278fbc407953219a601f3d20ae3dcb21940ab9087df9499eaec

Aliases

arxiv: 1202.1099 · arxiv_version: 1202.1099v1 · doi: 10.48550/arxiv.1202.1099 · pith_short_12: PNYDPGS4IHZH · pith_short_16: PNYDPGS4IHZHR66E · pith_short_8: PNYDPGS4

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/PNYDPGS4IHZHR66EA6KTEGNGAH \
  | 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: 7b70379a5c41f278fbc407953219a601f3d20ae3dcb21940ab9087df9499eaec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43787d42ae2fbca235abae4cc6c58af4dc633102dca8533d9c181e2eaae357fb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-02-06T10:54:54Z",
    "title_canon_sha256": "afb212e2756cdc82399fb71de028f37c08c6f45139a1c3678e31995700ab195d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1099",
    "kind": "arxiv",
    "version": 1
  }
}