Pith Number

pith:57IYOQ3T

pith:2013:57IYOQ3TYWERHVXSEUW56AOO6V

not attested not anchored not stored refs pending

On Rates of Convergence for Markov Chains under Random Time State Dependent Drift Criteria

Ramiro Zurkowski, Serdar Y\"uksel, Tam\'as Linder

arxiv:1312.4210 v2 · 2013-12-16 · math.PR · 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{57IYOQ3TYWERHVXSEUW56AOO6V}

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	2026-05-18T02:17:33.920410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd1874373c58913d6f2252ddf01cef54adc00f9dd23d43a2e7cab11006cd26b

Aliases

arxiv: 1312.4210 · arxiv_version: 1312.4210v2 · doi: 10.48550/arxiv.1312.4210 · pith_short_12: 57IYOQ3TYWER · pith_short_16: 57IYOQ3TYWERHVXS · pith_short_8: 57IYOQ3T

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/57IYOQ3TYWERHVXSEUW56AOO6V \
  | 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: efd1874373c58913d6f2252ddf01cef54adc00f9dd23d43a2e7cab11006cd26b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c963620c3ddcfff5a8365807d019d3228837d7ab4bf9e528fe43e6c2ad64cc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-16T00:03:16Z",
    "title_canon_sha256": "b2c7b4cf2584ef3fe052733bedac4ba8443d5cce7df4d0784f7e56e95fed700e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4210",
    "kind": "arxiv",
    "version": 2
  }
}