Pith Number

pith:AQUKHRZC

pith:2011:AQUKHRZCIMJOOSBZXPC5Q6PRPS

not attested not anchored not stored refs pending

Multidimensional renewal theory in the non-centered case. Application to strongly ergodic Markov chains

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

arxiv:1110.3603 v2 · 2011-10-17 · 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{AQUKHRZCIMJOOSBZXPC5Q6PRPS}

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	2026-05-18T04:04:54.610681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0428a3c7224312e74839bbc5d879f17c81ad579f6c93e9fe128cb338db6a98a9

Aliases

arxiv: 1110.3603 · arxiv_version: 1110.3603v2 · doi: 10.48550/arxiv.1110.3603 · pith_short_12: AQUKHRZCIMJO · pith_short_16: AQUKHRZCIMJOOSBZ · pith_short_8: AQUKHRZC

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/AQUKHRZCIMJOOSBZXPC5Q6PRPS \
  | 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: 0428a3c7224312e74839bbc5d879f17c81ad579f6c93e9fe128cb338db6a98a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53597473181a699937612acc771d8591f464467cafe48ef490f20621f405530c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-17T08:33:44Z",
    "title_canon_sha256": "8545969600a3655b674845bae2fefd7fbcf6b22b8373be9bf7b4125399a28d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3603",
    "kind": "arxiv",
    "version": 2
  }
}