Pith Number

pith:BCULV7EC

pith:2010:BCULV7ECM7NUDVNBNFXY7QED2M

not attested not anchored not stored refs pending

A Renewal Theorem for Strongly Ergodic Markov Chains in Dimension $d\geq3$ and Centered Case

Denis Guibourg (IRMAR), Lo\"ic Herv\'e (IRMAR)

arxiv:1009.5916 v1 · 2010-09-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCULV7ECM7NUDVNBNFXY7QED2M}

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	2026-05-18T04:40:08.628685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08a8bafc8267db41d5a1696f8fc083d33f0af6840d7915ae66ab37ba7a308c7e

Aliases

arxiv: 1009.5916 · arxiv_version: 1009.5916v1 · doi: 10.48550/arxiv.1009.5916 · pith_short_12: BCULV7ECM7NU · pith_short_16: BCULV7ECM7NUDVNB · pith_short_8: BCULV7EC

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/BCULV7ECM7NUDVNBNFXY7QED2M \
  | 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: 08a8bafc8267db41d5a1696f8fc083d33f0af6840d7915ae66ab37ba7a308c7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d6d808d4cf149296a305e78c23be1ffec3e1aae68b2742fb3f25ba8b4fd5d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-29T15:37:12Z",
    "title_canon_sha256": "cb69473bf7a15bae5c8bab4e517cda16648f61aa97144b0833fa6952232d909e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5916",
    "kind": "arxiv",
    "version": 1
  }
}