Pith Number

pith:IFBTD27R

pith:2012:IFBTD27RUHMPBQR2KAF7PYUF3C

not attested not anchored not stored refs pending

Uniform Chernoff and Dvoretzky-Kiefer-Wolfowitz-type inequalities for Markov chains and related processes

Aryeh Kontorovich, Roi Weiss

arxiv:1207.4678 v2 · 2012-07-19 · 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{IFBTD27RUHMPBQR2KAF7PYUF3C}

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	2026-05-18T03:05:28.499838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

414331ebf1a1d8f0c23a500bf7e285d8adf67cd1a93d7e22ca4458f54066b9b2

Aliases

arxiv: 1207.4678 · arxiv_version: 1207.4678v2 · doi: 10.48550/arxiv.1207.4678 · pith_short_12: IFBTD27RUHMP · pith_short_16: IFBTD27RUHMPBQR2 · pith_short_8: IFBTD27R

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/IFBTD27RUHMPBQR2KAF7PYUF3C \
  | 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: 414331ebf1a1d8f0c23a500bf7e285d8adf67cd1a93d7e22ca4458f54066b9b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de848d30132252e12d966a9bcc6173787c8cfae4522c5f6cccae8954d1a97169",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-19T14:15:09Z",
    "title_canon_sha256": "029b076be06bed069673407fac5e51d4fda16140a7cf639ecefe3da7e68e6d69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4678",
    "kind": "arxiv",
    "version": 2
  }
}