Pith Number

pith:TBIB5QA5

pith:2026:TBIB5QA5SZEHFB4GIUOB53YRL2

not attested not anchored not stored refs pending

On the convergence of doubly stochastic Markov chains

Fr\'ed\'eric Morneau-Gu\'erin, Javad Mashreghi, Ludovick Bouthat, Nicolas Doyon

arxiv:2606.24584 v1 · 2026-06-23 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBIB5QA5SZEHFB4GIUOB53YRL2}

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	2026-06-24T01:15:36.084494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98501ec01d9648728786451c1eef115e97b0ea9a2c5edaf58859b5e097372d41

Aliases

arxiv: 2606.24584 · arxiv_version: 2606.24584v1 · doi: 10.48550/arxiv.2606.24584 · pith_short_12: TBIB5QA5SZEH · pith_short_16: TBIB5QA5SZEHFB4G · pith_short_8: TBIB5QA5

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/TBIB5QA5SZEHFB4GIUOB53YRL2 \
  | 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: 98501ec01d9648728786451c1eef115e97b0ea9a2c5edaf58859b5e097372d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7de4665fe10bc04ff8607c9a77fa3244ad83bc0f23e025e7a0db27d0fc333a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-23T13:46:48Z",
    "title_canon_sha256": "0b7d3fc3315d9fba5918faf29a1e97d66fa0a6bd73af026b950e21f0267c26f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24584",
    "kind": "arxiv",
    "version": 1
  }
}