Pith Number

pith:HLX6NE5Q

pith:2010:HLX6NE5QB3GGM6CU4T3NEAZR35

not attested not anchored not stored refs pending

A nonconventional strong law of large numbers and fractal dimensions of some multiple recurrence sets

Yuri Kifer

arxiv:1012.2799 v1 · 2010-12-13 · 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{HLX6NE5QB3GGM6CU4T3NEAZR35}

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	2026-05-18T03:33:12.198529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aefe693b00ecc667854e4f6d20331df6709862a4e6d5ff6ec92f831ae607186

Aliases

arxiv: 1012.2799 · arxiv_version: 1012.2799v1 · doi: 10.48550/arxiv.1012.2799 · pith_short_12: HLX6NE5QB3GG · pith_short_16: HLX6NE5QB3GGM6CU · pith_short_8: HLX6NE5Q

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/HLX6NE5QB3GGM6CU4T3NEAZR35 \
  | 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: 3aefe693b00ecc667854e4f6d20331df6709862a4e6d5ff6ec92f831ae607186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ac9f54fcf1f0306a3a724436e4cd08d65a80e6cf2138eeb552d97d5f3debf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-13T16:53:24Z",
    "title_canon_sha256": "33768a7fde69b52edd901e4ffbe8cd5714cbc96394dfa661724cc7dfd4c9b231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2799",
    "kind": "arxiv",
    "version": 1
  }
}