pith. sign in
Pith Number

pith:PG33HKII

pith:2013:PG33HKIIWOELLHJBHZU2EM7QP3
not attested not anchored not stored refs pending

Finite-time consensus using stochastic matrices with positive diagonals

Guodong Shi, Julien M. Hendrickx, Karl H. Johansson

arxiv:1302.6668 v3 · 2013-02-27 · cs.MA · cs.SY

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PG33HKIIWOELLHJBHZU2EM7QP3}

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 2026-05-18T02:44:32.421026Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

79b7b3a908b388b59d213e69a233f07ef07da00a8064a50d7d0c7910718aefe6

Aliases

arxiv: 1302.6668 · arxiv_version: 1302.6668v3 · doi: 10.48550/arxiv.1302.6668 · pith_short_12: PG33HKIIWOEL · pith_short_16: PG33HKIIWOELLHJB · pith_short_8: PG33HKII
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PG33HKIIWOELLHJBHZU2EM7QP3 \
  | 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: 79b7b3a908b388b59d213e69a233f07ef07da00a8064a50d7d0c7910718aefe6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "50e2e1d56572e6c3fa0cfc9c58a0c17e4017cd130f41695b889101eaa1c67765",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2013-02-27T05:54:41Z",
    "title_canon_sha256": "b1ebabd6a115006b7607b00997763da560312422383962ba8156880b648eb225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6668",
    "kind": "arxiv",
    "version": 3
  }
}