Pith Number

pith:ANXOPVZW

pith:2012:ANXOPVZW4VORA42D4G7CVJZO2J

not attested not anchored not stored refs pending

Hoeffding's inequalities for geometrically ergodic Markov chains on general state space

B{\l}a\.zej Miasojedow

arxiv:1201.2265 v2 · 2012-01-11 · 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{ANXOPVZW4VORA42D4G7CVJZO2J}

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	2026-05-18T03:21:08.706229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

036ee7d736e55d107343e1be2aa72ed240b1468d29a31182628ad9046a4ad535

Aliases

arxiv: 1201.2265 · arxiv_version: 1201.2265v2 · doi: 10.48550/arxiv.1201.2265 · pith_short_12: ANXOPVZW4VOR · pith_short_16: ANXOPVZW4VORA42D · pith_short_8: ANXOPVZW

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/ANXOPVZW4VORA42D4G7CVJZO2J \
  | 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: 036ee7d736e55d107343e1be2aa72ed240b1468d29a31182628ad9046a4ad535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6caf00da2a6d8edfd849e2d3923e69f36c2feaa450480228d4da440039ea0bbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-11T09:30:18Z",
    "title_canon_sha256": "3dac34f108c49a476498fd87cc8e264d7b746a58846531592a0ae05f1f6eab40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2265",
    "kind": "arxiv",
    "version": 2
  }
}