Pith Number

pith:KRH5FGMB

pith:2015:KRH5FGMB6KG6UWSGQTQP5TEVGE

not attested not anchored not stored refs pending

From convergence in distribution to uniform convergence

Albrecht Boettcher, Egor A. Maximenko, Johan Manuel Bogoya

arxiv:1509.01836 v1 · 2015-09-06 · math.FA · 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{KRH5FGMB6KG6UWSGQTQP5TEVGE}

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	2026-05-18T01:00:53.764579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

544fd29981f28dea5a4684e0fecc95310821405fd962e33b9a8896686c6c482a

Aliases

arxiv: 1509.01836 · arxiv_version: 1509.01836v1 · doi: 10.48550/arxiv.1509.01836 · pith_short_12: KRH5FGMB6KG6 · pith_short_16: KRH5FGMB6KG6UWSG · pith_short_8: KRH5FGMB

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/KRH5FGMB6KG6UWSGQTQP5TEVGE \
  | 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: 544fd29981f28dea5a4684e0fecc95310821405fd962e33b9a8896686c6c482a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9947ea0a568c6a829ef4ba6af1c0698db5cacd191a8e9682ef68c0cf99822d9b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-06T17:43:44Z",
    "title_canon_sha256": "3bf98eb8cb0254061d69f99d0ef7e9967787aeeafd8076799d28c2052d3978a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01836",
    "kind": "arxiv",
    "version": 1
  }
}