Pith Number

pith:KNI2URWF

pith:2012:KNI2URWFABTXSVAISAAZPV4YPA

not attested not anchored not stored refs pending

Chernoff-Hoeffding Bounds for Markov Chains: Generalized and Simplified

Henry Lam, Kai-Min Chung, Michael Mitzenmacher, Zhenming Liu

arxiv:1201.0559 v2 · 2012-01-03 · 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{KNI2URWFABTXSVAISAAZPV4YPA}

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.

Cited by

1 paper in Pith

Concentration of General Stochastic Approximation Under Heavy-Tailed Markovian Noise

Receipt and verification

First computed	2026-05-18T04:03:42.563550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5351aa46c50067795408900197d7987802e07947ad11dd8c74ca36f51573300c

Aliases

arxiv: 1201.0559 · arxiv_version: 1201.0559v2 · doi: 10.48550/arxiv.1201.0559 · pith_short_12: KNI2URWFABTX · pith_short_16: KNI2URWFABTXSVAI · pith_short_8: KNI2URWF

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/KNI2URWFABTXSVAISAAZPV4YPA \
  | 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: 5351aa46c50067795408900197d7987802e07947ad11dd8c74ca36f51573300c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84cf703a57030b6b3487e557abfdc1de80b31bcdf6c64bebb75311b8a23d7851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-03T01:59:54Z",
    "title_canon_sha256": "c59793eabc27369d6ae781cd92bef6b5880bbbb3eeaec9f868660256352a25b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0559",
    "kind": "arxiv",
    "version": 2
  }
}