Pith Number

pith:GQDCGUZF

pith:2013:GQDCGUZFTXLRJ5V5RHEWSKHCZ7

not attested not anchored not stored refs pending

Convergence Tools for Consensus in Multi-Agent Systems with Switching Topologies

Johan Thunberg, Xiaoming Hu

arxiv:1311.5220 v2 · 2013-11-20 · 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{GQDCGUZFTXLRJ5V5RHEWSKHCZ7}

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	2026-05-18T02:55:10.800923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34062353259dd714f6bd89c96928e2cfc732bbb79509c1cefb22d72529a2b733

Aliases

arxiv: 1311.5220 · arxiv_version: 1311.5220v2 · doi: 10.48550/arxiv.1311.5220 · pith_short_12: GQDCGUZFTXLR · pith_short_16: GQDCGUZFTXLRJ5V5 · pith_short_8: GQDCGUZF

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/GQDCGUZFTXLRJ5V5RHEWSKHCZ7 \
  | 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: 34062353259dd714f6bd89c96928e2cfc732bbb79509c1cefb22d72529a2b733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe6176e1ab7a6848a6f6940fe7e8986dd5eccffa6931043345982a23131627b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2013-11-20T12:17:18Z",
    "title_canon_sha256": "f558d1ea7b3a46f7a25ddfe4b63baa90340a4490a2155f991d3e58b4d1ddc20d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5220",
    "kind": "arxiv",
    "version": 2
  }
}