Pith Number

pith:5GBT2JKR

pith:2011:5GBT2JKRFUZSW7MWBUTXNI4DOZ

not attested not anchored not stored refs pending

Distributed Robust Control of Linear Multi-Agent Systems with Parameter Uncertainties

Lihua Xie, Xiangdong Liu, Zhisheng Duan, Zhongkui Li

arxiv:1109.3781 v1 · 2011-09-17 · cs.SY · 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{5GBT2JKRFUZSW7MWBUTXNI4DOZ}

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	2026-05-18T04:12:45.897145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9833d25512d332b7d960d2776a3837644f35128e6c1f38bcbf23520def61f72

Aliases

arxiv: 1109.3781 · arxiv_version: 1109.3781v1 · doi: 10.48550/arxiv.1109.3781 · pith_short_12: 5GBT2JKRFUZS · pith_short_16: 5GBT2JKRFUZSW7MW · pith_short_8: 5GBT2JKR

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/5GBT2JKRFUZSW7MWBUTXNI4DOZ \
  | 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: e9833d25512d332b7d960d2776a3837644f35128e6c1f38bcbf23520def61f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ccc880f618a9d9ea64692a956cfa45befaa1695699ec386823ab4fa0dd95e46",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2011-09-17T14:01:20Z",
    "title_canon_sha256": "aeb2ec37661dc77f9ef2afd3c69fbcbd70b953f136143fa22a228fcaadebe1fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3781",
    "kind": "arxiv",
    "version": 1
  }
}