Pith Number

pith:LZ2Y7UT5

pith:2010:LZ2Y7UT5SPJLMSSRJ6YUS4VEBT

not attested not anchored not stored refs pending

A strong invariance principle for nonconventional sums

Yuri Kifer

arxiv:1012.2798 v1 · 2010-12-13 · math.PR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZ2Y7UT5SPJLMSSRJ6YUS4VEBT}

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	2026-05-18T03:33:12.208778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e758fd27d93d2b64a514fb14972a40cfd41079fa4ad50aa5cc3e3afb0d7df25

Aliases

arxiv: 1012.2798 · arxiv_version: 1012.2798v1 · doi: 10.48550/arxiv.1012.2798 · pith_short_12: LZ2Y7UT5SPJL · pith_short_16: LZ2Y7UT5SPJLMSSR · pith_short_8: LZ2Y7UT5

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/LZ2Y7UT5SPJLMSSRJ6YUS4VEBT \
  | 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: 5e758fd27d93d2b64a514fb14972a40cfd41079fa4ad50aa5cc3e3afb0d7df25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d8639ed15f6e7b771541aab7f0ebb37f1a573f0fb64c88bfe9dceac1a4ef832",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-13T16:48:19Z",
    "title_canon_sha256": "37bdb5a689b04062557335560cd386806d9663e7024c3dc20bb229dc3708f257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2798",
    "kind": "arxiv",
    "version": 1
  }
}