Pith Number

pith:HULTHZLZ

pith:2018:HULTHZLZVCSDUKZ7KI3LTQ465I

not attested not anchored not stored refs pending

Approximation complexity of homogeneous sums of random processes

A. A. Khartov, M. Zani

arxiv:1805.12581 v1 · 2018-05-31 · 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{HULTHZLZVCSDUKZ7KI3LTQ465I}

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	2026-05-18T00:14:29.879905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d1733e579a8a43a2b3f5236b9c39eea10fb6dc705e9cef2ed02536ac4da7df1

Aliases

arxiv: 1805.12581 · arxiv_version: 1805.12581v1 · doi: 10.48550/arxiv.1805.12581 · pith_short_12: HULTHZLZVCSD · pith_short_16: HULTHZLZVCSDUKZ7 · pith_short_8: HULTHZLZ

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/HULTHZLZVCSDUKZ7KI3LTQ465I \
  | 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: 3d1733e579a8a43a2b3f5236b9c39eea10fb6dc705e9cef2ed02536ac4da7df1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144a070da1bd734d9a444dfc1496d5efc82ffd61f4f7883cbed0195e91b595c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-31T17:43:48Z",
    "title_canon_sha256": "0b5168089cc157addf77c042cdcf0faf09de30a2f5e03b2cfda1feb065a6c8f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12581",
    "kind": "arxiv",
    "version": 1
  }
}