Pith Number

pith:KANR5YWI

pith:2014:KANR5YWIH65OETURS5JIBDEKYU

not attested not anchored not stored refs pending

McDiarmid's martingale for a class of iterated random functions

J\'er\^ome Dedecker (MAP5), Xiequan Fan (MAS)

arxiv:1402.4105 v1 · 2014-02-17 · 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{KANR5YWIH65OETURS5JIBDEKYU}

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	2026-05-18T02:58:46.964741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

501b1ee2c83fbae24e919752808c8ac5368cc14a595549371a33042a9ca83e71

Aliases

arxiv: 1402.4105 · arxiv_version: 1402.4105v1 · doi: 10.48550/arxiv.1402.4105 · pith_short_12: KANR5YWIH65O · pith_short_16: KANR5YWIH65OETUR · pith_short_8: KANR5YWI

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/KANR5YWIH65OETURS5JIBDEKYU \
  | 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: 501b1ee2c83fbae24e919752808c8ac5368cc14a595549371a33042a9ca83e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d3a1a538dd4b783eadbff80cbf9f7a2327ae9b9706d898a986f3f12cb1a058",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-17T20:01:40Z",
    "title_canon_sha256": "9e73fac045e817cb1b3707b2220b55ec0ce4f7b59ac8435ff691e26bf276db04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4105",
    "kind": "arxiv",
    "version": 1
  }
}