Pith Number

pith:22TCD4VC

pith:2011:22TCD4VCWSQ7WOU72HJF6UAHWC

not attested not anchored not stored refs pending

Consensus of Discrete-Time Linear Multi-Agent Systems with Observer-Type Protocols

Guanrong Chen, Zhisheng Duan, Zhongkui Li

arxiv:1102.5599 v2 · 2011-02-28 · 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{22TCD4VCWSQ7WOU72HJF6UAHWC}

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	2026-05-18T04:12:54.684172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a621f2a2b4a1fb3a9fd1d25f5007b0b4a30760026ec15f3ae77bbe4cfb6c2e

Aliases

arxiv: 1102.5599 · arxiv_version: 1102.5599v2 · doi: 10.48550/arxiv.1102.5599 · pith_short_12: 22TCD4VCWSQ7 · pith_short_16: 22TCD4VCWSQ7WOU7 · pith_short_8: 22TCD4VC

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/22TCD4VCWSQ7WOU72HJF6UAHWC \
  | 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: d6a621f2a2b4a1fb3a9fd1d25f5007b0b4a30760026ec15f3ae77bbe4cfb6c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84114318ec73541d092168d85167abe37de39aa95802083c72715eafc11ed526",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2011-02-28T05:33:37Z",
    "title_canon_sha256": "0356efbfc0c08da820f3828dea2b85be58a31a242f835d690416ae12e4e368f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5599",
    "kind": "arxiv",
    "version": 2
  }
}