Pith Number

pith:TP2QJTG7

pith:2013:TP2QJTG7L2UGM2VFQWBPRSPAI2

not attested not anchored not stored refs pending

The Hautus Test and Genericity Results for Controllable and Uncontrollable Behaviors

Shiva Shankar

arxiv:1310.4688 v1 · 2013-10-17 · 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{TP2QJTG7L2UGM2VFQWBPRSPAI2}

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	2026-05-18T03:10:13.215217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf504ccdf5ea8666aa58582f8c9e046aaf563a38d7d8542c8f688efa59a3fb0

Aliases

arxiv: 1310.4688 · arxiv_version: 1310.4688v1 · doi: 10.48550/arxiv.1310.4688 · pith_short_12: TP2QJTG7L2UG · pith_short_16: TP2QJTG7L2UGM2VF · pith_short_8: TP2QJTG7

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/TP2QJTG7L2UGM2VFQWBPRSPAI2 \
  | 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: 9bf504ccdf5ea8666aa58582f8c9e046aaf563a38d7d8542c8f688efa59a3fb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81d60cc577fd955b9321924d65251cdabefd5920525496fb554b88f278b48c8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-17T13:03:03Z",
    "title_canon_sha256": "8331770860656912a574a7ec36a3e093f1755dc91e27fceb58864fc0926e60c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4688",
    "kind": "arxiv",
    "version": 1
  }
}