Pith Number

pith:4TZUA26Z

pith:2012:4TZUA26Z36EXI2CHI22YMJ4AAE

not attested not anchored not stored refs pending

Orlicz integrability of additive functionals of Harris ergodic Markov chains

Rados{\l}aw Adamczak, Witold Bednorz

arxiv:1201.3567 v1 · 2012-01-17 · 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{4TZUA26Z36EXI2CHI22YMJ4AAE}

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	2026-05-18T04:04:28.923272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f3406bd9df8974684746b5862780011d1f12e36d5ec89b387fd263b9eb936f

Aliases

arxiv: 1201.3567 · arxiv_version: 1201.3567v1 · doi: 10.48550/arxiv.1201.3567 · pith_short_12: 4TZUA26Z36EX · pith_short_16: 4TZUA26Z36EXI2CH · pith_short_8: 4TZUA26Z

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/4TZUA26Z36EXI2CHI22YMJ4AAE \
  | 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: e4f3406bd9df8974684746b5862780011d1f12e36d5ec89b387fd263b9eb936f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "777a9f505087abfcda6f7571096e4666a497e8fcaf1562fc47edfd54b5c8a828",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-17T17:33:48Z",
    "title_canon_sha256": "2a5de11fca0f60f5aa32ecaf9336309f232d5da67dd4d31ac8da9fef79ba3d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3567",
    "kind": "arxiv",
    "version": 1
  }
}