Pith Number

pith:6BR35N77

pith:2018:6BR35N77HUSDT5JHQX5VSYVIKR

not attested not anchored not stored refs pending

A Doob-type maximal inequality and its applications to various stochastic processes

J\'anos Engl\"ander

arxiv:1805.07700 v3 · 2018-05-20 · 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{6BR35N77HUSDT5JHQX5VSYVIKR}

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	2026-05-17T23:57:46.862308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f063beb7ff3d2439f52785fb5962a85458c7e53e837b1a7ba417b81876dcc7ae

Aliases

arxiv: 1805.07700 · arxiv_version: 1805.07700v3 · doi: 10.48550/arxiv.1805.07700 · pith_short_12: 6BR35N77HUSD · pith_short_16: 6BR35N77HUSDT5JH · pith_short_8: 6BR35N77

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/6BR35N77HUSDT5JHQX5VSYVIKR \
  | 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: f063beb7ff3d2439f52785fb5962a85458c7e53e837b1a7ba417b81876dcc7ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c5b4e7634dd09b30c74451712ad27a95bd0146b425f329fbf1c11c4c572e54a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-20T03:54:57Z",
    "title_canon_sha256": "99705fddbbf9f7722ce38b42f6d4442cbb66e8ef729caaf8594f2bea1db77cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07700",
    "kind": "arxiv",
    "version": 3
  }
}