Pith Number

pith:34G22JYJ

pith:2009:34G22JYJABUR4SVVLI45TQLAZ7

not attested not anchored not stored refs pending

Controllability, Observability, Realizability, and Stability of Dynamic Linear Systems

Billy J. Jackson, Ian A. Gravagne, John M. Davis, Robert J. Marks II

arxiv:0901.3764 v2 · 2009-01-23 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34G22JYJABUR4SVVLI45TQLAZ7}

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	2026-07-04T15:38:53.492282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df0dad270900691e4ab55a39d9c160cfe3d35a19aded229a1cb8f38729f20b30

Aliases

arxiv: 0901.3764 · arxiv_version: 0901.3764v2 · doi: 10.48550/arxiv.0901.3764 · pith_short_12: 34G22JYJABUR · pith_short_16: 34G22JYJABUR4SVV · pith_short_8: 34G22JYJ

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/34G22JYJABUR4SVVLI45TQLAZ7 \
  | 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: df0dad270900691e4ab55a39d9c160cfe3d35a19aded229a1cb8f38729f20b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc04df8c27c0cd2f504f34dac01f1010afc1061762f8dfa680d8f50c677d12d7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-01-23T20:03:50Z",
    "title_canon_sha256": "7a857ce17919aea5e48501f9daa3b04720b3ee065a7009c3d2fb06a7191f899c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3764",
    "kind": "arxiv",
    "version": 2
  }
}