Pith Number

pith:25TTWQ4M

pith:2012:25TTWQ4MLAJCFCFQQ6XGNBYUMS

not attested not anchored not stored refs pending

Consensus and Products of Random Stochastic Matrices: Exact Rate for Convergence in Probability

Bruno Sinopoli, Dragana Bajovic, Joao Xavier, Jose M. F. Moura

arxiv:1202.6389 v1 · 2012-02-28 · math.PR · cs.IT · cs.SI · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25TTWQ4MLAJCFCFQQ6XGNBYUMS}

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	2026-05-18T01:58:18.484064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7673b438c58122288b087ae668714648d27efb65cfcc58fba3de29b7007dbfc

Aliases

arxiv: 1202.6389 · arxiv_version: 1202.6389v1 · doi: 10.48550/arxiv.1202.6389 · pith_short_12: 25TTWQ4MLAJC · pith_short_16: 25TTWQ4MLAJCFCFQ · pith_short_8: 25TTWQ4M

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/25TTWQ4MLAJCFCFQQ6XGNBYUMS \
  | 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: d7673b438c58122288b087ae668714648d27efb65cfcc58fba3de29b7007dbfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ad720f1bdb089aa111e4a7d939cf5e83bf5486a88683d1172efb4ec51833a5",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.SI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-28T21:45:09Z",
    "title_canon_sha256": "1af21476b7843b84f12a3f765b2e9d026f26c35ef72a563c607074a091a19a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6389",
    "kind": "arxiv",
    "version": 1
  }
}